20.94/10.30 YES 23.74/11.10 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 23.74/11.10 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 23.74/11.10 23.74/11.10 23.74/11.10 H-Termination with start terms of the given HASKELL could be proven: 23.74/11.10 23.74/11.10 (0) HASKELL 23.74/11.10 (1) LR [EQUIVALENT, 0 ms] 23.74/11.10 (2) HASKELL 23.74/11.10 (3) CR [EQUIVALENT, 0 ms] 23.74/11.10 (4) HASKELL 23.74/11.10 (5) BR [EQUIVALENT, 0 ms] 23.74/11.10 (6) HASKELL 23.74/11.10 (7) COR [EQUIVALENT, 6 ms] 23.74/11.10 (8) HASKELL 23.74/11.10 (9) LetRed [EQUIVALENT, 33 ms] 23.74/11.10 (10) HASKELL 23.74/11.10 (11) NumRed [SOUND, 0 ms] 23.74/11.10 (12) HASKELL 23.74/11.10 (13) Narrow [SOUND, 0 ms] 23.74/11.10 (14) AND 23.74/11.10 (15) QDP 23.74/11.10 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (17) YES 23.74/11.10 (18) QDP 23.74/11.10 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (20) YES 23.74/11.10 (21) QDP 23.74/11.10 (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (23) YES 23.74/11.10 (24) QDP 23.74/11.10 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (26) YES 23.74/11.10 (27) QDP 23.74/11.10 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (29) YES 23.74/11.10 (30) QDP 23.74/11.10 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (32) YES 23.74/11.10 (33) QDP 23.74/11.10 (34) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (35) YES 23.74/11.10 (36) QDP 23.74/11.10 (37) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (38) YES 23.74/11.10 (39) QDP 23.74/11.10 (40) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (41) YES 23.74/11.10 (42) QDP 23.74/11.10 (43) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (44) YES 23.74/11.10 (45) QDP 23.74/11.10 (46) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (47) YES 23.74/11.10 (48) QDP 23.74/11.10 (49) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (50) YES 23.74/11.10 (51) QDP 23.74/11.10 (52) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (53) YES 23.74/11.10 (54) QDP 23.74/11.10 (55) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (56) YES 23.74/11.10 (57) QDP 23.74/11.10 (58) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.74/11.10 (59) YES 23.74/11.10 23.74/11.10 23.74/11.10 ---------------------------------------- 23.74/11.10 23.74/11.10 (0) 23.74/11.10 Obligation: 23.74/11.10 mainModule Main 23.74/11.10 module FiniteMap where { 23.74/11.10 import qualified Main; 23.74/11.10 import qualified Maybe; 23.74/11.10 import qualified Prelude; 23.74/11.10 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 23.74/11.10 23.74/11.10 instance (Eq a, Eq b) => Eq FiniteMap b a where { 23.74/11.10 } 23.74/11.10 addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; 23.74/11.10 addToFM fm key elt = addToFM_C (\old new ->new) fm key elt; 23.74/11.10 23.74/11.10 addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; 23.74/11.10 addToFM_C combiner EmptyFM key elt = unitFM key elt; 23.74/11.10 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r 23.74/11.10 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) 23.74/11.10 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; 23.74/11.10 23.74/11.10 deleteMax :: Ord a => FiniteMap a b -> FiniteMap a b; 23.74/11.10 deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l; 23.74/11.10 deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r); 23.74/11.10 23.74/11.10 deleteMin :: Ord b => FiniteMap b a -> FiniteMap b a; 23.74/11.10 deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r; 23.74/11.10 deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r; 23.74/11.10 23.74/11.10 emptyFM :: FiniteMap b a; 23.74/11.10 emptyFM = EmptyFM; 23.74/11.10 23.74/11.10 filterFM :: Ord a => (a -> b -> Bool) -> FiniteMap a b -> FiniteMap a b; 23.74/11.10 filterFM p EmptyFM = emptyFM; 23.74/11.10 filterFM p (Branch key elt _ fm_l fm_r) | p key elt = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r) 23.74/11.10 | otherwise = glueVBal (filterFM p fm_l) (filterFM p fm_r); 23.74/11.10 23.74/11.10 findMax :: FiniteMap b a -> (b,a); 23.74/11.10 findMax (Branch key elt _ _ EmptyFM) = (key,elt); 23.74/11.10 findMax (Branch key elt _ _ fm_r) = findMax fm_r; 23.74/11.10 23.74/11.10 findMin :: FiniteMap b a -> (b,a); 23.74/11.10 findMin (Branch key elt _ EmptyFM _) = (key,elt); 23.74/11.10 findMin (Branch key elt _ fm_l _) = findMin fm_l; 23.74/11.10 23.74/11.10 glueBal :: Ord a => FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 23.74/11.10 glueBal EmptyFM fm2 = fm2; 23.74/11.10 glueBal fm1 EmptyFM = fm1; 23.74/11.10 glueBal fm1 fm2 | sizeFM fm2 > sizeFM fm1 = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2) 23.74/11.10 | otherwise = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where { 23.74/11.10 mid_elt1 = (\(_,mid_elt1) ->mid_elt1) vv2; 23.74/11.10 mid_elt2 = (\(_,mid_elt2) ->mid_elt2) vv3; 23.74/11.10 mid_key1 = (\(mid_key1,_) ->mid_key1) vv2; 23.74/11.10 mid_key2 = (\(mid_key2,_) ->mid_key2) vv3; 23.74/11.10 vv2 = findMax fm1; 23.74/11.10 vv3 = findMin fm2; 23.74/11.10 }; 23.74/11.10 23.74/11.10 glueVBal :: Ord a => FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 23.74/11.10 glueVBal EmptyFM fm2 = fm2; 23.74/11.10 glueVBal fm1 EmptyFM = fm1; 23.74/11.10 glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr 23.74/11.10 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r) 23.74/11.10 | otherwise = glueBal fm_l fm_r where { 23.74/11.10 size_l = sizeFM fm_l; 23.74/11.10 size_r = sizeFM fm_r; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R 23.74/11.10 | size_r > sIZE_RATIO * size_l = case fm_R of { 23.74/11.10 Branch _ _ _ fm_rl fm_rr | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R 23.74/11.10 | otherwise -> double_L fm_L fm_R; 23.74/11.10 } 23.74/11.10 | size_l > sIZE_RATIO * size_r = case fm_L of { 23.74/11.10 Branch _ _ _ fm_ll fm_lr | sizeFM fm_lr < 2 * sizeFM fm_ll -> single_R fm_L fm_R 23.74/11.10 | otherwise -> double_R fm_L fm_R; 23.74/11.10 } 23.74/11.10 | otherwise = mkBranch 2 key elt fm_L fm_R where { 23.74/11.10 double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 23.74/11.10 double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); 23.74/11.10 single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; 23.74/11.10 single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); 23.74/11.10 size_l = sizeFM fm_L; 23.74/11.10 size_r = sizeFM fm_R; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 mkBranch which key elt fm_l fm_r = let { 23.74/11.10 result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; 23.74/11.10 } in result where { 23.74/11.10 balance_ok = True; 23.74/11.10 left_ok = case fm_l of { 23.74/11.10 EmptyFM-> True; 23.74/11.10 Branch left_key _ _ _ _-> let { 23.74/11.10 biggest_left_key = fst (findMax fm_l); 23.74/11.10 } in biggest_left_key < key; 23.74/11.10 } ; 23.74/11.10 left_size = sizeFM fm_l; 23.74/11.10 right_ok = case fm_r of { 23.74/11.10 EmptyFM-> True; 23.74/11.10 Branch right_key _ _ _ _-> let { 23.74/11.10 smallest_right_key = fst (findMin fm_r); 23.74/11.10 } in key < smallest_right_key; 23.74/11.10 } ; 23.74/11.10 right_size = sizeFM fm_r; 23.74/11.10 unbox :: Int -> Int; 23.74/11.10 unbox x = x; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkVBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; 23.74/11.10 mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; 23.74/11.10 mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr 23.74/11.10 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r) 23.74/11.10 | otherwise = mkBranch 13 key elt fm_l fm_r where { 23.74/11.10 size_l = sizeFM fm_l; 23.74/11.10 size_r = sizeFM fm_r; 23.74/11.10 }; 23.74/11.10 23.74/11.10 sIZE_RATIO :: Int; 23.74/11.10 sIZE_RATIO = 5; 23.74/11.10 23.74/11.10 sizeFM :: FiniteMap b a -> Int; 23.74/11.10 sizeFM EmptyFM = 0; 23.74/11.10 sizeFM (Branch _ _ size _ _) = size; 23.74/11.10 23.74/11.10 unitFM :: a -> b -> FiniteMap a b; 23.74/11.10 unitFM key elt = Branch key elt 1 emptyFM emptyFM; 23.74/11.10 23.74/11.10 } 23.74/11.10 module Maybe where { 23.74/11.10 import qualified FiniteMap; 23.74/11.10 import qualified Main; 23.74/11.10 import qualified Prelude; 23.74/11.10 } 23.74/11.10 module Main where { 23.74/11.10 import qualified FiniteMap; 23.74/11.10 import qualified Maybe; 23.74/11.10 import qualified Prelude; 23.74/11.10 } 23.74/11.10 23.74/11.10 ---------------------------------------- 23.74/11.10 23.74/11.10 (1) LR (EQUIVALENT) 23.74/11.10 Lambda Reductions: 23.74/11.10 The following Lambda expression 23.74/11.10 "\oldnew->new" 23.74/11.10 is transformed to 23.74/11.10 "addToFM0 old new = new; 23.74/11.10 " 23.74/11.10 The following Lambda expression 23.74/11.10 "\(_,mid_elt2)->mid_elt2" 23.74/11.10 is transformed to 23.74/11.10 "mid_elt20 (_,mid_elt2) = mid_elt2; 23.74/11.10 " 23.74/11.10 The following Lambda expression 23.74/11.10 "\(mid_key2,_)->mid_key2" 23.74/11.10 is transformed to 23.74/11.10 "mid_key20 (mid_key2,_) = mid_key2; 23.74/11.10 " 23.74/11.10 The following Lambda expression 23.74/11.10 "\(mid_key1,_)->mid_key1" 23.74/11.10 is transformed to 23.74/11.10 "mid_key10 (mid_key1,_) = mid_key1; 23.74/11.10 " 23.74/11.10 The following Lambda expression 23.74/11.10 "\(_,mid_elt1)->mid_elt1" 23.74/11.10 is transformed to 23.74/11.10 "mid_elt10 (_,mid_elt1) = mid_elt1; 23.74/11.10 " 23.74/11.10 23.74/11.10 ---------------------------------------- 23.74/11.10 23.74/11.10 (2) 23.74/11.10 Obligation: 23.74/11.10 mainModule Main 23.74/11.10 module FiniteMap where { 23.74/11.10 import qualified Main; 23.74/11.10 import qualified Maybe; 23.74/11.10 import qualified Prelude; 23.74/11.10 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 23.74/11.10 23.74/11.10 instance (Eq a, Eq b) => Eq FiniteMap b a where { 23.74/11.10 } 23.74/11.10 addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; 23.74/11.10 addToFM fm key elt = addToFM_C addToFM0 fm key elt; 23.74/11.10 23.74/11.10 addToFM0 old new = new; 23.74/11.10 23.74/11.10 addToFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> a -> b -> FiniteMap a b; 23.74/11.10 addToFM_C combiner EmptyFM key elt = unitFM key elt; 23.74/11.10 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r 23.74/11.10 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) 23.74/11.10 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; 23.74/11.10 23.74/11.10 deleteMax :: Ord a => FiniteMap a b -> FiniteMap a b; 23.74/11.10 deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l; 23.74/11.10 deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r); 23.74/11.10 23.74/11.10 deleteMin :: Ord b => FiniteMap b a -> FiniteMap b a; 23.74/11.10 deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r; 23.74/11.10 deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r; 23.74/11.10 23.74/11.10 emptyFM :: FiniteMap a b; 23.74/11.10 emptyFM = EmptyFM; 23.74/11.10 23.74/11.10 filterFM :: Ord b => (b -> a -> Bool) -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 filterFM p EmptyFM = emptyFM; 23.74/11.10 filterFM p (Branch key elt _ fm_l fm_r) | p key elt = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r) 23.74/11.10 | otherwise = glueVBal (filterFM p fm_l) (filterFM p fm_r); 23.74/11.10 23.74/11.10 findMax :: FiniteMap a b -> (a,b); 23.74/11.10 findMax (Branch key elt _ _ EmptyFM) = (key,elt); 23.74/11.10 findMax (Branch key elt _ _ fm_r) = findMax fm_r; 23.74/11.10 23.74/11.10 findMin :: FiniteMap b a -> (b,a); 23.74/11.10 findMin (Branch key elt _ EmptyFM _) = (key,elt); 23.74/11.10 findMin (Branch key elt _ fm_l _) = findMin fm_l; 23.74/11.10 23.74/11.10 glueBal :: Ord b => FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 glueBal EmptyFM fm2 = fm2; 23.74/11.10 glueBal fm1 EmptyFM = fm1; 23.74/11.10 glueBal fm1 fm2 | sizeFM fm2 > sizeFM fm1 = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2) 23.74/11.10 | otherwise = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where { 23.74/11.10 mid_elt1 = mid_elt10 vv2; 23.74/11.10 mid_elt10 (_,mid_elt1) = mid_elt1; 23.74/11.10 mid_elt2 = mid_elt20 vv3; 23.74/11.10 mid_elt20 (_,mid_elt2) = mid_elt2; 23.74/11.10 mid_key1 = mid_key10 vv2; 23.74/11.10 mid_key10 (mid_key1,_) = mid_key1; 23.74/11.10 mid_key2 = mid_key20 vv3; 23.74/11.10 mid_key20 (mid_key2,_) = mid_key2; 23.74/11.10 vv2 = findMax fm1; 23.74/11.10 vv3 = findMin fm2; 23.74/11.10 }; 23.74/11.10 23.74/11.10 glueVBal :: Ord b => FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 glueVBal EmptyFM fm2 = fm2; 23.74/11.10 glueVBal fm1 EmptyFM = fm1; 23.74/11.10 glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr 23.74/11.10 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r) 23.74/11.10 | otherwise = glueBal fm_l fm_r where { 23.74/11.10 size_l = sizeFM fm_l; 23.74/11.10 size_r = sizeFM fm_r; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R 23.74/11.10 | size_r > sIZE_RATIO * size_l = case fm_R of { 23.74/11.10 Branch _ _ _ fm_rl fm_rr | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R 23.74/11.10 | otherwise -> double_L fm_L fm_R; 23.74/11.10 } 23.74/11.10 | size_l > sIZE_RATIO * size_r = case fm_L of { 23.74/11.10 Branch _ _ _ fm_ll fm_lr | sizeFM fm_lr < 2 * sizeFM fm_ll -> single_R fm_L fm_R 23.74/11.10 | otherwise -> double_R fm_L fm_R; 23.74/11.10 } 23.74/11.10 | otherwise = mkBranch 2 key elt fm_L fm_R where { 23.74/11.10 double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 23.74/11.10 double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); 23.74/11.10 single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; 23.74/11.10 single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); 23.74/11.10 size_l = sizeFM fm_L; 23.74/11.10 size_r = sizeFM fm_R; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 mkBranch which key elt fm_l fm_r = let { 23.74/11.10 result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; 23.74/11.10 } in result where { 23.74/11.10 balance_ok = True; 23.74/11.10 left_ok = case fm_l of { 23.74/11.10 EmptyFM-> True; 23.74/11.10 Branch left_key _ _ _ _-> let { 23.74/11.10 biggest_left_key = fst (findMax fm_l); 23.74/11.10 } in biggest_left_key < key; 23.74/11.10 } ; 23.74/11.10 left_size = sizeFM fm_l; 23.74/11.10 right_ok = case fm_r of { 23.74/11.10 EmptyFM-> True; 23.74/11.10 Branch right_key _ _ _ _-> let { 23.74/11.10 smallest_right_key = fst (findMin fm_r); 23.74/11.10 } in key < smallest_right_key; 23.74/11.10 } ; 23.74/11.10 right_size = sizeFM fm_r; 23.74/11.10 unbox :: Int -> Int; 23.74/11.10 unbox x = x; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkVBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 23.74/11.10 mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; 23.74/11.10 mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; 23.74/11.10 mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr 23.74/11.10 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r) 23.74/11.10 | otherwise = mkBranch 13 key elt fm_l fm_r where { 23.74/11.10 size_l = sizeFM fm_l; 23.74/11.10 size_r = sizeFM fm_r; 23.74/11.10 }; 23.74/11.10 23.74/11.10 sIZE_RATIO :: Int; 23.74/11.10 sIZE_RATIO = 5; 23.74/11.10 23.74/11.10 sizeFM :: FiniteMap a b -> Int; 23.74/11.10 sizeFM EmptyFM = 0; 23.74/11.10 sizeFM (Branch _ _ size _ _) = size; 23.74/11.10 23.74/11.10 unitFM :: b -> a -> FiniteMap b a; 23.74/11.10 unitFM key elt = Branch key elt 1 emptyFM emptyFM; 23.74/11.10 23.74/11.10 } 23.74/11.10 module Maybe where { 23.74/11.10 import qualified FiniteMap; 23.74/11.10 import qualified Main; 23.74/11.10 import qualified Prelude; 23.74/11.10 } 23.74/11.10 module Main where { 23.74/11.10 import qualified FiniteMap; 23.74/11.10 import qualified Maybe; 23.74/11.10 import qualified Prelude; 23.74/11.10 } 23.74/11.10 23.74/11.10 ---------------------------------------- 23.74/11.10 23.74/11.10 (3) CR (EQUIVALENT) 23.74/11.10 Case Reductions: 23.74/11.10 The following Case expression 23.74/11.10 "case fm_r of { 23.74/11.10 EmptyFM -> True; 23.74/11.10 Branch right_key _ _ _ _ -> let { 23.74/11.10 smallest_right_key = fst (findMin fm_r); 23.74/11.10 } in key < smallest_right_key} 23.74/11.10 " 23.74/11.10 is transformed to 23.74/11.10 "right_ok0 fm_r key EmptyFM = True; 23.74/11.10 right_ok0 fm_r key (Branch right_key _ _ _ _) = let { 23.74/11.10 smallest_right_key = fst (findMin fm_r); 23.74/11.10 } in key < smallest_right_key; 23.74/11.10 " 23.74/11.10 The following Case expression 23.74/11.10 "case fm_l of { 23.74/11.10 EmptyFM -> True; 23.74/11.10 Branch left_key _ _ _ _ -> let { 23.74/11.10 biggest_left_key = fst (findMax fm_l); 23.74/11.10 } in biggest_left_key < key} 23.74/11.10 " 23.74/11.10 is transformed to 23.74/11.10 "left_ok0 fm_l key EmptyFM = True; 23.74/11.10 left_ok0 fm_l key (Branch left_key _ _ _ _) = let { 23.74/11.10 biggest_left_key = fst (findMax fm_l); 23.74/11.10 } in biggest_left_key < key; 23.74/11.10 " 23.74/11.10 The following Case expression 23.74/11.10 "case fm_R of { 23.74/11.10 Branch _ _ _ fm_rl fm_rr |sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R} 23.74/11.10 " 23.74/11.10 is transformed to 23.74/11.10 "mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr)|sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R; 23.74/11.10 " 23.74/11.10 The following Case expression 23.74/11.10 "case fm_L of { 23.74/11.10 Branch _ _ _ fm_ll fm_lr |sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R} 23.74/11.10 " 23.74/11.10 is transformed to 23.74/11.10 "mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr)|sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R; 23.74/11.10 " 23.74/11.10 23.74/11.10 ---------------------------------------- 23.74/11.10 23.74/11.10 (4) 23.74/11.10 Obligation: 23.74/11.10 mainModule Main 23.74/11.10 module FiniteMap where { 23.74/11.10 import qualified Main; 23.74/11.10 import qualified Maybe; 23.74/11.10 import qualified Prelude; 23.74/11.10 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 23.74/11.10 23.74/11.10 instance (Eq a, Eq b) => Eq FiniteMap a b where { 23.74/11.10 } 23.74/11.10 addToFM :: Ord a => FiniteMap a b -> a -> b -> FiniteMap a b; 23.74/11.10 addToFM fm key elt = addToFM_C addToFM0 fm key elt; 23.74/11.10 23.74/11.10 addToFM0 old new = new; 23.74/11.10 23.74/11.10 addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; 23.74/11.10 addToFM_C combiner EmptyFM key elt = unitFM key elt; 23.74/11.10 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r 23.74/11.10 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) 23.74/11.10 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; 23.74/11.10 23.74/11.10 deleteMax :: Ord b => FiniteMap b a -> FiniteMap b a; 23.74/11.10 deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l; 23.74/11.10 deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r); 23.74/11.10 23.74/11.10 deleteMin :: Ord b => FiniteMap b a -> FiniteMap b a; 23.74/11.10 deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r; 23.74/11.10 deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r; 23.74/11.10 23.74/11.10 emptyFM :: FiniteMap a b; 23.74/11.10 emptyFM = EmptyFM; 23.74/11.10 23.74/11.10 filterFM :: Ord b => (b -> a -> Bool) -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 filterFM p EmptyFM = emptyFM; 23.74/11.10 filterFM p (Branch key elt _ fm_l fm_r) | p key elt = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r) 23.74/11.10 | otherwise = glueVBal (filterFM p fm_l) (filterFM p fm_r); 23.74/11.10 23.74/11.10 findMax :: FiniteMap a b -> (a,b); 23.74/11.10 findMax (Branch key elt _ _ EmptyFM) = (key,elt); 23.74/11.10 findMax (Branch key elt _ _ fm_r) = findMax fm_r; 23.74/11.10 23.74/11.10 findMin :: FiniteMap a b -> (a,b); 23.74/11.10 findMin (Branch key elt _ EmptyFM _) = (key,elt); 23.74/11.10 findMin (Branch key elt _ fm_l _) = findMin fm_l; 23.74/11.10 23.74/11.10 glueBal :: Ord a => FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 23.74/11.10 glueBal EmptyFM fm2 = fm2; 23.74/11.10 glueBal fm1 EmptyFM = fm1; 23.74/11.10 glueBal fm1 fm2 | sizeFM fm2 > sizeFM fm1 = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2) 23.74/11.10 | otherwise = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where { 23.74/11.10 mid_elt1 = mid_elt10 vv2; 23.74/11.10 mid_elt10 (_,mid_elt1) = mid_elt1; 23.74/11.10 mid_elt2 = mid_elt20 vv3; 23.74/11.10 mid_elt20 (_,mid_elt2) = mid_elt2; 23.74/11.10 mid_key1 = mid_key10 vv2; 23.74/11.10 mid_key10 (mid_key1,_) = mid_key1; 23.74/11.10 mid_key2 = mid_key20 vv3; 23.74/11.10 mid_key20 (mid_key2,_) = mid_key2; 23.74/11.10 vv2 = findMax fm1; 23.74/11.10 vv3 = findMin fm2; 23.74/11.10 }; 23.74/11.10 23.74/11.10 glueVBal :: Ord b => FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 glueVBal EmptyFM fm2 = fm2; 23.74/11.10 glueVBal fm1 EmptyFM = fm1; 23.74/11.10 glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr 23.74/11.10 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r) 23.74/11.10 | otherwise = glueBal fm_l fm_r where { 23.74/11.10 size_l = sizeFM fm_l; 23.74/11.10 size_r = sizeFM fm_r; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 23.74/11.10 mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R 23.74/11.10 | size_r > sIZE_RATIO * size_l = mkBalBranch0 fm_L fm_R fm_R 23.74/11.10 | size_l > sIZE_RATIO * size_r = mkBalBranch1 fm_L fm_R fm_L 23.74/11.10 | otherwise = mkBranch 2 key elt fm_L fm_R where { 23.74/11.10 double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 23.74/11.10 double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); 23.74/11.10 mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr) | sizeFM fm_rl < 2 * sizeFM fm_rr = single_L fm_L fm_R 23.74/11.10 | otherwise = double_L fm_L fm_R; 23.74/11.10 mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr) | sizeFM fm_lr < 2 * sizeFM fm_ll = single_R fm_L fm_R 23.74/11.10 | otherwise = double_R fm_L fm_R; 23.74/11.10 single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; 23.74/11.10 single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); 23.74/11.10 size_l = sizeFM fm_L; 23.74/11.10 size_r = sizeFM fm_R; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 mkBranch which key elt fm_l fm_r = let { 23.74/11.10 result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; 23.74/11.10 } in result where { 23.74/11.10 balance_ok = True; 23.74/11.10 left_ok = left_ok0 fm_l key fm_l; 23.74/11.10 left_ok0 fm_l key EmptyFM = True; 23.74/11.10 left_ok0 fm_l key (Branch left_key _ _ _ _) = let { 23.74/11.10 biggest_left_key = fst (findMax fm_l); 23.74/11.10 } in biggest_left_key < key; 23.74/11.10 left_size = sizeFM fm_l; 23.74/11.10 right_ok = right_ok0 fm_r key fm_r; 23.74/11.10 right_ok0 fm_r key EmptyFM = True; 23.74/11.10 right_ok0 fm_r key (Branch right_key _ _ _ _) = let { 23.74/11.10 smallest_right_key = fst (findMin fm_r); 23.74/11.10 } in key < smallest_right_key; 23.74/11.10 right_size = sizeFM fm_r; 23.74/11.10 unbox :: Int -> Int; 23.74/11.10 unbox x = x; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkVBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 23.74/11.10 mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; 23.74/11.10 mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; 23.74/11.10 mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr 23.74/11.10 | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r) 23.74/11.10 | otherwise = mkBranch 13 key elt fm_l fm_r where { 23.74/11.10 size_l = sizeFM fm_l; 23.74/11.10 size_r = sizeFM fm_r; 23.74/11.10 }; 23.74/11.10 23.74/11.10 sIZE_RATIO :: Int; 23.74/11.10 sIZE_RATIO = 5; 23.74/11.10 23.74/11.10 sizeFM :: FiniteMap a b -> Int; 23.74/11.10 sizeFM EmptyFM = 0; 23.74/11.10 sizeFM (Branch _ _ size _ _) = size; 23.74/11.10 23.74/11.10 unitFM :: a -> b -> FiniteMap a b; 23.74/11.10 unitFM key elt = Branch key elt 1 emptyFM emptyFM; 23.74/11.10 23.74/11.10 } 23.74/11.10 module Maybe where { 23.74/11.10 import qualified FiniteMap; 23.74/11.10 import qualified Main; 23.74/11.10 import qualified Prelude; 23.74/11.10 } 23.74/11.10 module Main where { 23.74/11.10 import qualified FiniteMap; 23.74/11.10 import qualified Maybe; 23.74/11.10 import qualified Prelude; 23.74/11.10 } 23.74/11.10 23.74/11.10 ---------------------------------------- 23.74/11.10 23.74/11.10 (5) BR (EQUIVALENT) 23.74/11.10 Replaced joker patterns by fresh variables and removed binding patterns. 23.74/11.10 23.74/11.10 Binding Reductions: 23.74/11.10 The bind variable of the following binding Pattern 23.74/11.10 "fm_l@(Branch wu wv ww wx wy)" 23.74/11.10 is replaced by the following term 23.74/11.10 "Branch wu wv ww wx wy" 23.74/11.10 The bind variable of the following binding Pattern 23.74/11.10 "fm_r@(Branch xu xv xw xx xy)" 23.74/11.10 is replaced by the following term 23.74/11.10 "Branch xu xv xw xx xy" 23.74/11.10 The bind variable of the following binding Pattern 23.74/11.10 "fm_l@(Branch vxu vxv vxw vxx vxy)" 23.74/11.10 is replaced by the following term 23.74/11.10 "Branch vxu vxv vxw vxx vxy" 23.74/11.10 The bind variable of the following binding Pattern 23.74/11.10 "fm_r@(Branch vyu vyv vyw vyx vyy)" 23.74/11.10 is replaced by the following term 23.74/11.10 "Branch vyu vyv vyw vyx vyy" 23.74/11.10 23.74/11.10 ---------------------------------------- 23.74/11.10 23.74/11.10 (6) 23.74/11.10 Obligation: 23.74/11.10 mainModule Main 23.74/11.10 module FiniteMap where { 23.74/11.10 import qualified Main; 23.74/11.10 import qualified Maybe; 23.74/11.10 import qualified Prelude; 23.74/11.10 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 23.74/11.10 23.74/11.10 instance (Eq a, Eq b) => Eq FiniteMap b a where { 23.74/11.10 } 23.74/11.10 addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; 23.74/11.10 addToFM fm key elt = addToFM_C addToFM0 fm key elt; 23.74/11.10 23.74/11.10 addToFM0 old new = new; 23.74/11.10 23.74/11.10 addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; 23.74/11.10 addToFM_C combiner EmptyFM key elt = unitFM key elt; 23.74/11.10 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r 23.74/11.10 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) 23.74/11.10 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; 23.74/11.10 23.74/11.10 deleteMax :: Ord a => FiniteMap a b -> FiniteMap a b; 23.74/11.10 deleteMax (Branch key elt xz fm_l EmptyFM) = fm_l; 23.74/11.10 deleteMax (Branch key elt yu fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r); 23.74/11.10 23.74/11.10 deleteMin :: Ord a => FiniteMap a b -> FiniteMap a b; 23.74/11.10 deleteMin (Branch key elt vzx EmptyFM fm_r) = fm_r; 23.74/11.10 deleteMin (Branch key elt vzy fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r; 23.74/11.10 23.74/11.10 emptyFM :: FiniteMap a b; 23.74/11.10 emptyFM = EmptyFM; 23.74/11.10 23.74/11.10 filterFM :: Ord b => (b -> a -> Bool) -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 filterFM p EmptyFM = emptyFM; 23.74/11.10 filterFM p (Branch key elt vzz fm_l fm_r) | p key elt = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r) 23.74/11.10 | otherwise = glueVBal (filterFM p fm_l) (filterFM p fm_r); 23.74/11.10 23.74/11.10 findMax :: FiniteMap b a -> (b,a); 23.74/11.10 findMax (Branch key elt zx zy EmptyFM) = (key,elt); 23.74/11.10 findMax (Branch key elt zz vuu fm_r) = findMax fm_r; 23.74/11.10 23.74/11.10 findMin :: FiniteMap a b -> (a,b); 23.74/11.10 findMin (Branch key elt wuu EmptyFM wuv) = (key,elt); 23.74/11.10 findMin (Branch key elt wuw fm_l wux) = findMin fm_l; 23.74/11.10 23.74/11.10 glueBal :: Ord b => FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 glueBal EmptyFM fm2 = fm2; 23.74/11.10 glueBal fm1 EmptyFM = fm1; 23.74/11.10 glueBal fm1 fm2 | sizeFM fm2 > sizeFM fm1 = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2) 23.74/11.10 | otherwise = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where { 23.74/11.10 mid_elt1 = mid_elt10 vv2; 23.74/11.10 mid_elt10 (vww,mid_elt1) = mid_elt1; 23.74/11.10 mid_elt2 = mid_elt20 vv3; 23.74/11.10 mid_elt20 (vwv,mid_elt2) = mid_elt2; 23.74/11.10 mid_key1 = mid_key10 vv2; 23.74/11.10 mid_key10 (mid_key1,vwx) = mid_key1; 23.74/11.10 mid_key2 = mid_key20 vv3; 23.74/11.10 mid_key20 (mid_key2,vwy) = mid_key2; 23.74/11.10 vv2 = findMax fm1; 23.74/11.10 vv3 = findMin fm2; 23.74/11.10 }; 23.74/11.10 23.74/11.10 glueVBal :: Ord b => FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 glueVBal EmptyFM fm2 = fm2; 23.74/11.10 glueVBal fm1 EmptyFM = fm1; 23.74/11.10 glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) | sIZE_RATIO * size_l < size_r = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy 23.74/11.10 | sIZE_RATIO * size_r < size_l = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy)) 23.74/11.10 | otherwise = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) where { 23.74/11.10 size_l = sizeFM (Branch vxu vxv vxw vxx vxy); 23.74/11.10 size_r = sizeFM (Branch vyu vyv vyw vyx vyy); 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 23.74/11.10 mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R 23.74/11.10 | size_r > sIZE_RATIO * size_l = mkBalBranch0 fm_L fm_R fm_R 23.74/11.10 | size_l > sIZE_RATIO * size_r = mkBalBranch1 fm_L fm_R fm_L 23.74/11.10 | otherwise = mkBranch 2 key elt fm_L fm_R where { 23.74/11.10 double_L fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 23.74/11.10 double_R (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); 23.74/11.10 mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) | sizeFM fm_rl < 2 * sizeFM fm_rr = single_L fm_L fm_R 23.74/11.10 | otherwise = double_L fm_L fm_R; 23.74/11.10 mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) | sizeFM fm_lr < 2 * sizeFM fm_ll = single_R fm_L fm_R 23.74/11.10 | otherwise = double_R fm_L fm_R; 23.74/11.10 single_L fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; 23.74/11.10 single_R (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); 23.74/11.10 size_l = sizeFM fm_L; 23.74/11.10 size_r = sizeFM fm_R; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 mkBranch which key elt fm_l fm_r = let { 23.74/11.10 result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; 23.74/11.10 } in result where { 23.74/11.10 balance_ok = True; 23.74/11.10 left_ok = left_ok0 fm_l key fm_l; 23.74/11.10 left_ok0 fm_l key EmptyFM = True; 23.74/11.10 left_ok0 fm_l key (Branch left_key yv yw yx yy) = let { 23.74/11.10 biggest_left_key = fst (findMax fm_l); 23.74/11.10 } in biggest_left_key < key; 23.74/11.10 left_size = sizeFM fm_l; 23.74/11.10 right_ok = right_ok0 fm_r key fm_r; 23.74/11.10 right_ok0 fm_r key EmptyFM = True; 23.74/11.10 right_ok0 fm_r key (Branch right_key yz zu zv zw) = let { 23.74/11.10 smallest_right_key = fst (findMin fm_r); 23.74/11.10 } in key < smallest_right_key; 23.74/11.10 right_size = sizeFM fm_r; 23.74/11.10 unbox :: Int -> Int; 23.74/11.10 unbox x = x; 23.74/11.10 }; 23.74/11.10 23.74/11.10 mkVBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 23.74/11.10 mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; 23.74/11.10 mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; 23.74/11.10 mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) | sIZE_RATIO * size_l < size_r = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy 23.74/11.10 | sIZE_RATIO * size_r < size_l = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy)) 23.74/11.10 | otherwise = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) where { 23.74/11.10 size_l = sizeFM (Branch wu wv ww wx wy); 23.74/11.10 size_r = sizeFM (Branch xu xv xw xx xy); 23.74/11.10 }; 23.74/11.10 23.74/11.10 sIZE_RATIO :: Int; 23.74/11.10 sIZE_RATIO = 5; 23.74/11.10 23.74/11.10 sizeFM :: FiniteMap a b -> Int; 23.74/11.10 sizeFM EmptyFM = 0; 23.74/11.10 sizeFM (Branch vyz vzu size vzv vzw) = size; 23.74/11.10 23.74/11.10 unitFM :: a -> b -> FiniteMap a b; 23.74/11.10 unitFM key elt = Branch key elt 1 emptyFM emptyFM; 23.74/11.10 23.74/11.10 } 23.74/11.10 module Maybe where { 23.74/11.10 import qualified FiniteMap; 23.74/11.10 import qualified Main; 23.74/11.10 import qualified Prelude; 23.74/11.10 } 23.74/11.10 module Main where { 23.74/11.10 import qualified FiniteMap; 23.74/11.10 import qualified Maybe; 23.74/11.10 import qualified Prelude; 23.74/11.10 } 23.74/11.10 23.74/11.10 ---------------------------------------- 23.74/11.10 23.74/11.10 (7) COR (EQUIVALENT) 23.74/11.10 Cond Reductions: 23.74/11.10 The following Function with conditions 23.74/11.10 "compare x y|x == yEQ|x <= yLT|otherwiseGT; 23.74/11.10 " 23.74/11.10 is transformed to 23.74/11.10 "compare x y = compare3 x y; 23.74/11.10 " 23.74/11.10 "compare0 x y True = GT; 23.74/11.10 " 23.74/11.10 "compare1 x y True = LT; 23.74/11.10 compare1 x y False = compare0 x y otherwise; 23.74/11.10 " 23.74/11.10 "compare2 x y True = EQ; 23.74/11.10 compare2 x y False = compare1 x y (x <= y); 23.74/11.10 " 23.74/11.10 "compare3 x y = compare2 x y (x == y); 23.74/11.10 " 23.74/11.10 The following Function with conditions 23.74/11.10 "undefined |Falseundefined; 23.74/11.10 " 23.74/11.10 is transformed to 23.74/11.10 "undefined = undefined1; 23.74/11.10 " 23.74/11.10 "undefined0 True = undefined; 23.74/11.10 " 23.74/11.10 "undefined1 = undefined0 False; 23.74/11.10 " 23.74/11.10 The following Function with conditions 23.74/11.10 "addToFM_C combiner EmptyFM key elt = unitFM key elt; 23.74/11.10 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt|new_key < keymkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r|new_key > keymkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)|otherwiseBranch new_key (combiner elt new_elt) size fm_l fm_r; 23.74/11.10 " 23.74/11.10 is transformed to 23.74/11.10 "addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt; 23.74/11.10 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt; 23.74/11.10 " 23.74/11.10 "addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r; 23.74/11.10 " 23.74/11.10 "addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt); 23.74/11.10 addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise; 23.74/11.10 " 23.74/11.10 "addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r; 23.74/11.10 addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key); 23.74/11.10 " 23.74/11.10 "addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key); 23.74/11.10 " 23.74/11.10 "addToFM_C4 combiner EmptyFM key elt = unitFM key elt; 23.74/11.10 addToFM_C4 wvu wvv wvw wvx = addToFM_C3 wvu wvv wvw wvx; 23.74/11.10 " 23.74/11.10 The following Function with conditions 23.74/11.10 "mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; 23.74/11.10 mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; 23.74/11.10 mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy)|sIZE_RATIO * size_l < size_rmkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy|sIZE_RATIO * size_r < size_lmkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy))|otherwisemkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) where { 23.74/11.10 size_l = sizeFM (Branch wu wv ww wx wy); 23.74/11.10 ; 23.74/11.10 size_r = sizeFM (Branch xu xv xw xx xy); 23.74/11.10 } 23.74/11.10 ; 23.74/11.10 " 23.74/11.10 is transformed to 23.74/11.10 "mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r; 23.74/11.10 mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM; 23.74/11.10 mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy); 23.74/11.10 " 23.74/11.10 "mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_l < size_r) where { 23.74/11.10 mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy); 23.74/11.10 ; 23.74/11.10 mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy)); 23.74/11.10 mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy otherwise; 23.74/11.10 ; 23.74/11.10 mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy; 23.74/11.10 mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_r < size_l); 23.74/11.10 ; 23.74/11.10 size_l = sizeFM (Branch wu wv ww wx wy); 23.74/11.10 ; 23.74/11.10 size_r = sizeFM (Branch xu xv xw xx xy); 23.74/11.10 } 23.74/11.10 ; 23.74/11.10 " 23.74/11.10 "mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt; 23.74/11.10 mkVBalBranch4 wwv www wwx wwy = mkVBalBranch3 wwv www wwx wwy; 23.74/11.10 " 23.74/11.10 "mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt; 23.74/11.10 mkVBalBranch5 wxu wxv wxw wxx = mkVBalBranch4 wxu wxv wxw wxx; 23.74/11.10 " 23.74/11.10 The following Function with conditions 23.74/11.10 "mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr)|sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R; 23.74/11.10 " 23.74/11.10 is transformed to 23.74/11.10 "mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr); 24.93/11.33 " 24.93/11.33 "mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = single_R fm_L fm_R; 24.93/11.33 mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise; 24.93/11.33 " 24.93/11.33 "mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = double_R fm_L fm_R; 24.93/11.33 " 24.93/11.33 "mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); 24.93/11.33 " 24.93/11.33 The following Function with conditions 24.93/11.33 "mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr)|sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R; 24.93/11.33 " 24.93/11.33 is transformed to 24.93/11.33 "mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr); 24.93/11.33 " 24.93/11.33 "mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = single_L fm_L fm_R; 24.93/11.33 mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise; 24.93/11.33 " 24.93/11.33 "mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = double_L fm_L fm_R; 24.93/11.33 " 24.93/11.33 "mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); 24.93/11.33 " 24.93/11.33 The following Function with conditions 24.93/11.33 "mkBalBranch key elt fm_L fm_R|size_l + size_r < 2mkBranch 1 key elt fm_L fm_R|size_r > sIZE_RATIO * size_lmkBalBranch0 fm_L fm_R fm_R|size_l > sIZE_RATIO * size_rmkBalBranch1 fm_L fm_R fm_L|otherwisemkBranch 2 key elt fm_L fm_R where { 24.93/11.33 double_L fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 24.93/11.33 ; 24.93/11.33 double_R (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); 24.93/11.33 ; 24.93/11.33 mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr)|sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R; 24.93/11.33 ; 24.93/11.33 mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr)|sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R; 24.93/11.33 ; 24.93/11.33 single_L fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; 24.93/11.33 ; 24.93/11.33 single_R (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); 24.93/11.33 ; 24.93/11.33 size_l = sizeFM fm_L; 24.93/11.33 ; 24.93/11.33 size_r = sizeFM fm_R; 24.93/11.33 } 24.93/11.33 ; 24.93/11.33 " 24.93/11.33 is transformed to 24.93/11.33 "mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R; 24.93/11.33 " 24.93/11.33 "mkBalBranch6 key elt fm_L fm_R = mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where { 24.93/11.33 double_L fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 24.93/11.33 ; 24.93/11.33 double_R (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); 24.93/11.33 ; 24.93/11.33 mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr); 24.93/11.33 ; 24.93/11.33 mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = double_L fm_L fm_R; 24.93/11.33 ; 24.93/11.33 mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = single_L fm_L fm_R; 24.93/11.33 mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise; 24.93/11.33 ; 24.93/11.33 mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); 24.93/11.33 ; 24.93/11.33 mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr); 24.93/11.33 ; 24.93/11.33 mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = double_R fm_L fm_R; 24.93/11.33 ; 24.93/11.33 mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = single_R fm_L fm_R; 24.93/11.33 mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise; 24.93/11.33 ; 24.93/11.33 mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); 24.93/11.33 ; 24.93/11.33 mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R; 24.93/11.33 ; 24.93/11.33 mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L; 24.93/11.33 mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise; 24.93/11.33 ; 24.93/11.33 mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R; 24.93/11.33 mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r); 24.93/11.33 ; 24.93/11.33 mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R; 24.93/11.33 mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l); 24.93/11.33 ; 24.93/11.33 single_L fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; 24.93/11.33 ; 24.93/11.33 single_R (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); 24.93/11.33 ; 24.93/11.33 size_l = sizeFM fm_L; 24.93/11.33 ; 24.93/11.33 size_r = sizeFM fm_R; 24.93/11.33 } 24.93/11.33 ; 24.93/11.33 " 24.93/11.33 The following Function with conditions 24.93/11.33 "glueBal EmptyFM fm2 = fm2; 24.93/11.33 glueBal fm1 EmptyFM = fm1; 24.93/11.33 glueBal fm1 fm2|sizeFM fm2 > sizeFM fm1mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)|otherwisemkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2 where { 24.93/11.33 mid_elt1 = mid_elt10 vv2; 24.93/11.33 ; 24.93/11.33 mid_elt10 (vww,mid_elt1) = mid_elt1; 24.93/11.33 ; 24.93/11.33 mid_elt2 = mid_elt20 vv3; 24.93/11.33 ; 24.93/11.33 mid_elt20 (vwv,mid_elt2) = mid_elt2; 24.93/11.33 ; 24.93/11.33 mid_key1 = mid_key10 vv2; 24.93/11.33 ; 24.93/11.33 mid_key10 (mid_key1,vwx) = mid_key1; 24.93/11.33 ; 24.93/11.33 mid_key2 = mid_key20 vv3; 24.93/11.33 ; 24.93/11.33 mid_key20 (mid_key2,vwy) = mid_key2; 24.93/11.33 ; 24.93/11.33 vv2 = findMax fm1; 24.93/11.33 ; 24.93/11.33 vv3 = findMin fm2; 24.93/11.33 } 24.93/11.33 ; 24.93/11.33 " 24.93/11.33 is transformed to 24.93/11.33 "glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2; 24.93/11.33 glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM; 24.93/11.33 glueBal fm1 fm2 = glueBal2 fm1 fm2; 24.93/11.33 " 24.93/11.33 "glueBal2 fm1 fm2 = glueBal1 fm1 fm2 (sizeFM fm2 > sizeFM fm1) where { 24.93/11.33 glueBal0 fm1 fm2 True = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2; 24.93/11.33 ; 24.93/11.33 glueBal1 fm1 fm2 True = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2); 24.93/11.33 glueBal1 fm1 fm2 False = glueBal0 fm1 fm2 otherwise; 24.93/11.33 ; 24.93/11.33 mid_elt1 = mid_elt10 vv2; 24.93/11.33 ; 24.93/11.33 mid_elt10 (vww,mid_elt1) = mid_elt1; 24.93/11.33 ; 24.93/11.33 mid_elt2 = mid_elt20 vv3; 24.93/11.33 ; 24.93/11.33 mid_elt20 (vwv,mid_elt2) = mid_elt2; 24.93/11.33 ; 24.93/11.33 mid_key1 = mid_key10 vv2; 24.93/11.33 ; 24.93/11.33 mid_key10 (mid_key1,vwx) = mid_key1; 24.93/11.34 ; 24.93/11.34 mid_key2 = mid_key20 vv3; 24.93/11.34 ; 24.93/11.34 mid_key20 (mid_key2,vwy) = mid_key2; 24.93/11.34 ; 24.93/11.34 vv2 = findMax fm1; 24.93/11.34 ; 24.93/11.34 vv3 = findMin fm2; 24.93/11.34 } 24.93/11.34 ; 24.93/11.34 " 24.93/11.34 "glueBal3 fm1 EmptyFM = fm1; 24.93/11.34 glueBal3 wyv wyw = glueBal2 wyv wyw; 24.93/11.34 " 24.93/11.34 "glueBal4 EmptyFM fm2 = fm2; 24.93/11.34 glueBal4 wyy wyz = glueBal3 wyy wyz; 24.93/11.34 " 24.93/11.34 The following Function with conditions 24.93/11.34 "glueVBal EmptyFM fm2 = fm2; 24.93/11.34 glueVBal fm1 EmptyFM = fm1; 24.93/11.34 glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy)|sIZE_RATIO * size_l < size_rmkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy|sIZE_RATIO * size_r < size_lmkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy))|otherwiseglueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) where { 24.93/11.34 size_l = sizeFM (Branch vxu vxv vxw vxx vxy); 24.93/11.34 ; 24.93/11.34 size_r = sizeFM (Branch vyu vyv vyw vyx vyy); 24.93/11.34 } 24.93/11.34 ; 24.93/11.34 " 24.93/11.34 is transformed to 24.93/11.34 "glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2; 24.93/11.34 glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM; 24.93/11.34 glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy); 24.93/11.34 " 24.93/11.34 "glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_l < size_r) where { 24.93/11.34 glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy); 24.93/11.34 ; 24.93/11.34 glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy)); 24.93/11.34 glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise; 24.93/11.34 ; 24.93/11.34 glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy; 24.93/11.34 glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_r < size_l); 24.93/11.34 ; 24.93/11.34 size_l = sizeFM (Branch vxu vxv vxw vxx vxy); 24.93/11.34 ; 24.93/11.34 size_r = sizeFM (Branch vyu vyv vyw vyx vyy); 24.93/11.34 } 24.93/11.34 ; 24.93/11.34 " 24.93/11.34 "glueVBal4 fm1 EmptyFM = fm1; 24.93/11.34 glueVBal4 wzx wzy = glueVBal3 wzx wzy; 24.93/11.34 " 24.93/11.34 "glueVBal5 EmptyFM fm2 = fm2; 24.93/11.34 glueVBal5 xuu xuv = glueVBal4 xuu xuv; 24.93/11.34 " 24.93/11.34 The following Function with conditions 24.93/11.34 "filterFM p EmptyFM = emptyFM; 24.93/11.34 filterFM p (Branch key elt vzz fm_l fm_r)|p key eltmkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r)|otherwiseglueVBal (filterFM p fm_l) (filterFM p fm_r); 24.93/11.34 " 24.93/11.34 is transformed to 24.93/11.34 "filterFM p EmptyFM = filterFM3 p EmptyFM; 24.93/11.34 filterFM p (Branch key elt vzz fm_l fm_r) = filterFM2 p (Branch key elt vzz fm_l fm_r); 24.93/11.34 " 24.93/11.34 "filterFM1 p key elt vzz fm_l fm_r True = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r); 24.93/11.34 filterFM1 p key elt vzz fm_l fm_r False = filterFM0 p key elt vzz fm_l fm_r otherwise; 24.93/11.34 " 24.93/11.34 "filterFM0 p key elt vzz fm_l fm_r True = glueVBal (filterFM p fm_l) (filterFM p fm_r); 24.93/11.34 " 24.93/11.34 "filterFM2 p (Branch key elt vzz fm_l fm_r) = filterFM1 p key elt vzz fm_l fm_r (p key elt); 24.93/11.34 " 24.93/11.34 "filterFM3 p EmptyFM = emptyFM; 24.93/11.34 filterFM3 xuy xuz = filterFM2 xuy xuz; 24.93/11.34 " 24.93/11.34 24.93/11.34 ---------------------------------------- 24.93/11.34 24.93/11.34 (8) 24.93/11.34 Obligation: 24.93/11.34 mainModule Main 24.93/11.34 module FiniteMap where { 24.93/11.34 import qualified Main; 24.93/11.34 import qualified Maybe; 24.93/11.34 import qualified Prelude; 24.93/11.34 data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; 24.93/11.34 24.93/11.34 instance (Eq a, Eq b) => Eq FiniteMap a b where { 24.93/11.34 } 24.93/11.34 addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; 24.93/11.34 addToFM fm key elt = addToFM_C addToFM0 fm key elt; 24.93/11.34 24.93/11.34 addToFM0 old new = new; 24.93/11.34 24.93/11.34 addToFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> a -> b -> FiniteMap a b; 24.93/11.34 addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt; 24.93/11.34 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt; 24.93/11.34 24.93/11.34 addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r; 24.93/11.34 24.93/11.34 addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt); 24.93/11.34 addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise; 24.93/11.34 24.93/11.34 addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r; 24.93/11.34 addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key); 24.93/11.34 24.93/11.34 addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key); 24.93/11.34 24.93/11.34 addToFM_C4 combiner EmptyFM key elt = unitFM key elt; 24.93/11.34 addToFM_C4 wvu wvv wvw wvx = addToFM_C3 wvu wvv wvw wvx; 24.93/11.34 24.93/11.34 deleteMax :: Ord a => FiniteMap a b -> FiniteMap a b; 24.93/11.34 deleteMax (Branch key elt xz fm_l EmptyFM) = fm_l; 24.93/11.34 deleteMax (Branch key elt yu fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r); 24.93/11.34 24.93/11.34 deleteMin :: Ord a => FiniteMap a b -> FiniteMap a b; 24.93/11.34 deleteMin (Branch key elt vzx EmptyFM fm_r) = fm_r; 24.93/11.34 deleteMin (Branch key elt vzy fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r; 24.93/11.34 24.93/11.34 emptyFM :: FiniteMap a b; 24.93/11.34 emptyFM = EmptyFM; 24.93/11.34 24.93/11.34 filterFM :: Ord b => (b -> a -> Bool) -> FiniteMap b a -> FiniteMap b a; 24.93/11.34 filterFM p EmptyFM = filterFM3 p EmptyFM; 24.93/11.34 filterFM p (Branch key elt vzz fm_l fm_r) = filterFM2 p (Branch key elt vzz fm_l fm_r); 24.93/11.34 24.93/11.34 filterFM0 p key elt vzz fm_l fm_r True = glueVBal (filterFM p fm_l) (filterFM p fm_r); 24.93/11.34 24.93/11.34 filterFM1 p key elt vzz fm_l fm_r True = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r); 24.93/11.34 filterFM1 p key elt vzz fm_l fm_r False = filterFM0 p key elt vzz fm_l fm_r otherwise; 24.93/11.34 24.93/11.34 filterFM2 p (Branch key elt vzz fm_l fm_r) = filterFM1 p key elt vzz fm_l fm_r (p key elt); 24.93/11.34 24.93/11.34 filterFM3 p EmptyFM = emptyFM; 24.93/11.34 filterFM3 xuy xuz = filterFM2 xuy xuz; 24.93/11.34 24.93/11.34 findMax :: FiniteMap a b -> (a,b); 24.93/11.34 findMax (Branch key elt zx zy EmptyFM) = (key,elt); 24.93/11.34 findMax (Branch key elt zz vuu fm_r) = findMax fm_r; 24.93/11.34 24.93/11.34 findMin :: FiniteMap b a -> (b,a); 24.93/11.34 findMin (Branch key elt wuu EmptyFM wuv) = (key,elt); 24.93/11.34 findMin (Branch key elt wuw fm_l wux) = findMin fm_l; 24.93/11.34 24.93/11.34 glueBal :: Ord b => FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 24.93/11.34 glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2; 24.93/11.34 glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM; 24.93/11.34 glueBal fm1 fm2 = glueBal2 fm1 fm2; 24.93/11.34 24.93/11.34 glueBal2 fm1 fm2 = glueBal1 fm1 fm2 (sizeFM fm2 > sizeFM fm1) where { 24.93/11.34 glueBal0 fm1 fm2 True = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2; 24.93/11.34 glueBal1 fm1 fm2 True = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2); 24.93/11.34 glueBal1 fm1 fm2 False = glueBal0 fm1 fm2 otherwise; 24.93/11.34 mid_elt1 = mid_elt10 vv2; 24.93/11.34 mid_elt10 (vww,mid_elt1) = mid_elt1; 24.93/11.34 mid_elt2 = mid_elt20 vv3; 24.93/11.34 mid_elt20 (vwv,mid_elt2) = mid_elt2; 24.93/11.34 mid_key1 = mid_key10 vv2; 24.93/11.34 mid_key10 (mid_key1,vwx) = mid_key1; 24.93/11.34 mid_key2 = mid_key20 vv3; 24.93/11.34 mid_key20 (mid_key2,vwy) = mid_key2; 24.93/11.34 vv2 = findMax fm1; 24.93/11.34 vv3 = findMin fm2; 24.93/11.34 }; 24.93/11.34 24.93/11.34 glueBal3 fm1 EmptyFM = fm1; 24.93/11.34 glueBal3 wyv wyw = glueBal2 wyv wyw; 24.93/11.34 24.93/11.34 glueBal4 EmptyFM fm2 = fm2; 24.93/11.34 glueBal4 wyy wyz = glueBal3 wyy wyz; 24.93/11.34 24.93/11.34 glueVBal :: Ord b => FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 24.93/11.34 glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2; 24.93/11.34 glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM; 24.93/11.34 glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy); 24.93/11.34 24.93/11.34 glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_l < size_r) where { 24.93/11.34 glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy); 24.93/11.34 glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy)); 24.93/11.34 glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise; 24.93/11.34 glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy; 24.93/11.34 glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_r < size_l); 24.93/11.34 size_l = sizeFM (Branch vxu vxv vxw vxx vxy); 24.93/11.34 size_r = sizeFM (Branch vyu vyv vyw vyx vyy); 24.93/11.34 }; 24.93/11.34 24.93/11.34 glueVBal4 fm1 EmptyFM = fm1; 24.93/11.34 glueVBal4 wzx wzy = glueVBal3 wzx wzy; 24.93/11.34 24.93/11.34 glueVBal5 EmptyFM fm2 = fm2; 24.93/11.34 glueVBal5 xuu xuv = glueVBal4 xuu xuv; 24.93/11.34 24.93/11.34 mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 24.93/11.34 mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R; 24.93/11.34 24.93/11.34 mkBalBranch6 key elt fm_L fm_R = mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where { 24.93/11.34 double_L fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 24.93/11.34 double_R (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); 24.93/11.34 mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr); 24.93/11.34 mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = double_L fm_L fm_R; 24.93/11.34 mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = single_L fm_L fm_R; 24.93/11.34 mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise; 24.93/11.34 mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); 24.93/11.34 mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr); 24.93/11.34 mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = double_R fm_L fm_R; 24.93/11.34 mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = single_R fm_L fm_R; 24.93/11.34 mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise; 24.93/11.34 mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); 24.93/11.34 mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R; 24.93/11.34 mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L; 24.93/11.34 mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise; 24.93/11.34 mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R; 24.93/11.34 mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r); 24.93/11.34 mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R; 24.93/11.34 mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l); 24.93/11.34 single_L fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; 24.93/11.34 single_R (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); 24.93/11.34 size_l = sizeFM fm_L; 24.93/11.34 size_r = sizeFM fm_R; 24.93/11.34 }; 24.93/11.34 24.93/11.34 mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 24.93/11.34 mkBranch which key elt fm_l fm_r = let { 24.93/11.34 result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; 24.93/11.34 } in result where { 24.93/11.34 balance_ok = True; 24.93/11.34 left_ok = left_ok0 fm_l key fm_l; 24.93/11.34 left_ok0 fm_l key EmptyFM = True; 24.93/11.34 left_ok0 fm_l key (Branch left_key yv yw yx yy) = let { 24.93/11.34 biggest_left_key = fst (findMax fm_l); 24.93/11.34 } in biggest_left_key < key; 24.93/11.34 left_size = sizeFM fm_l; 24.93/11.34 right_ok = right_ok0 fm_r key fm_r; 24.93/11.34 right_ok0 fm_r key EmptyFM = True; 24.93/11.34 right_ok0 fm_r key (Branch right_key yz zu zv zw) = let { 24.93/11.34 smallest_right_key = fst (findMin fm_r); 24.93/11.34 } in key < smallest_right_key; 24.93/11.34 right_size = sizeFM fm_r; 24.93/11.34 unbox :: Int -> Int; 24.93/11.34 unbox x = x; 24.93/11.34 }; 24.93/11.34 24.93/11.34 mkVBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 24.93/11.34 mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r; 24.93/11.34 mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM; 24.93/11.34 mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy); 24.93/11.34 24.93/11.34 mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_l < size_r) where { 24.93/11.34 mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy); 24.93/11.34 mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy)); 24.93/11.34 mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy otherwise; 24.93/11.34 mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy; 24.93/11.34 mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_r < size_l); 24.93/11.34 size_l = sizeFM (Branch wu wv ww wx wy); 24.93/11.34 size_r = sizeFM (Branch xu xv xw xx xy); 24.93/11.34 }; 24.93/11.34 24.93/11.34 mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt; 24.93/11.34 mkVBalBranch4 wwv www wwx wwy = mkVBalBranch3 wwv www wwx wwy; 24.93/11.34 24.93/11.34 mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt; 24.93/11.34 mkVBalBranch5 wxu wxv wxw wxx = mkVBalBranch4 wxu wxv wxw wxx; 24.93/11.34 24.93/11.34 sIZE_RATIO :: Int; 24.93/11.34 sIZE_RATIO = 5; 24.93/11.34 24.93/11.34 sizeFM :: FiniteMap b a -> Int; 24.93/11.34 sizeFM EmptyFM = 0; 24.93/11.34 sizeFM (Branch vyz vzu size vzv vzw) = size; 24.93/11.34 24.93/11.34 unitFM :: b -> a -> FiniteMap b a; 24.93/11.34 unitFM key elt = Branch key elt 1 emptyFM emptyFM; 24.93/11.34 24.93/11.34 } 24.93/11.34 module Maybe where { 24.93/11.34 import qualified FiniteMap; 24.93/11.34 import qualified Main; 24.93/11.34 import qualified Prelude; 24.93/11.34 } 24.93/11.34 module Main where { 24.93/11.34 import qualified FiniteMap; 24.93/11.34 import qualified Maybe; 24.93/11.34 import qualified Prelude; 24.93/11.34 } 24.93/11.34 24.93/11.34 ---------------------------------------- 24.93/11.34 24.93/11.34 (9) LetRed (EQUIVALENT) 24.93/11.34 Let/Where Reductions: 24.93/11.34 The bindings of the following Let/Where expression 24.93/11.34 "mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where { 24.93/11.34 double_L fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 24.93/11.34 ; 24.93/11.34 double_R (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); 24.93/11.34 ; 24.93/11.34 mkBalBranch0 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr); 24.93/11.34 ; 24.93/11.34 mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = double_L fm_L fm_R; 24.93/11.34 ; 24.93/11.34 mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr True = single_L fm_L fm_R; 24.93/11.34 mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise; 24.93/11.34 ; 24.93/11.34 mkBalBranch02 fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); 24.93/11.34 ; 24.93/11.34 mkBalBranch1 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr); 24.93/11.34 ; 24.93/11.34 mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = double_R fm_L fm_R; 24.93/11.34 ; 24.93/11.34 mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr True = single_R fm_L fm_R; 24.93/11.34 mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise; 24.93/11.34 ; 24.93/11.34 mkBalBranch12 fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); 24.93/11.34 ; 24.93/11.34 mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R; 24.93/11.34 ; 24.93/11.34 mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L; 24.93/11.34 mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise; 24.93/11.34 ; 24.93/11.34 mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R; 24.93/11.34 mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r); 24.93/11.34 ; 24.93/11.34 mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R; 24.93/11.34 mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l); 24.93/11.34 ; 24.93/11.34 single_L fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; 24.93/11.34 ; 24.93/11.34 single_R (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); 24.93/11.34 ; 24.93/11.34 size_l = sizeFM fm_L; 24.93/11.34 ; 24.93/11.34 size_r = sizeFM fm_R; 24.93/11.34 } 24.93/11.34 " 24.93/11.34 are unpacked to the following functions on top level 24.93/11.34 "mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr); 24.93/11.34 " 24.93/11.34 "mkBalBranch6Single_R xvu xvv xvw xvx (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 xvu xvv fm_lr fm_r); 24.93/11.34 " 24.93/11.34 "mkBalBranch6Double_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 xvu xvv fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 24.93/11.34 " 24.93/11.34 "mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R; 24.93/11.34 " 24.93/11.34 "mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr); 24.93/11.34 " 24.93/11.34 "mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Single_R xvu xvv xvw xvx fm_L fm_R; 24.93/11.34 mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise; 24.93/11.34 " 24.93/11.34 "mkBalBranch6Size_l xvu xvv xvw xvx = sizeFM xvw; 24.93/11.34 " 24.93/11.34 "mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Double_R xvu xvv xvw xvx fm_L fm_R; 24.93/11.34 " 24.93/11.34 "mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R; 24.93/11.34 mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_r xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_l xvu xvv xvw xvx); 24.93/11.34 " 24.93/11.34 "mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R fm_R; 24.93/11.34 mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_l xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_r xvu xvv xvw xvx); 24.93/11.34 " 24.93/11.34 "mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); 24.93/11.34 " 24.93/11.34 "mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); 24.93/11.34 " 24.93/11.34 "mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Single_L xvu xvv xvw xvx fm_L fm_R; 24.93/11.42 mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise; 24.93/11.42 " 24.93/11.42 "mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Double_L xvu xvv xvw xvx fm_L fm_R; 24.93/11.42 " 24.93/11.42 "mkBalBranch6Double_R xvu xvv xvw xvx (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 xvu xvv fm_lrr fm_r); 24.93/11.42 " 24.93/11.42 "mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R fm_L; 24.93/11.42 mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R otherwise; 24.93/11.42 " 24.93/11.42 "mkBalBranch6Size_r xvu xvv xvw xvx = sizeFM xvx; 24.93/11.42 " 24.93/11.42 "mkBalBranch6Single_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 xvu xvv fm_l fm_rl) fm_rr; 24.93/11.42 " 24.93/11.42 The bindings of the following Let/Where expression 24.93/11.42 "let { 24.93/11.42 result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; 24.93/11.42 } in result where { 24.93/11.42 balance_ok = True; 24.93/11.42 ; 24.93/11.42 left_ok = left_ok0 fm_l key fm_l; 24.93/11.42 ; 24.93/11.42 left_ok0 fm_l key EmptyFM = True; 24.93/11.42 left_ok0 fm_l key (Branch left_key yv yw yx yy) = let { 24.93/11.42 biggest_left_key = fst (findMax fm_l); 24.93/11.42 } in biggest_left_key < key; 24.93/11.42 ; 24.93/11.42 left_size = sizeFM fm_l; 24.93/11.42 ; 24.93/11.42 right_ok = right_ok0 fm_r key fm_r; 24.93/11.42 ; 24.93/11.42 right_ok0 fm_r key EmptyFM = True; 24.93/11.42 right_ok0 fm_r key (Branch right_key yz zu zv zw) = let { 24.93/11.42 smallest_right_key = fst (findMin fm_r); 24.93/11.42 } in key < smallest_right_key; 24.93/11.42 ; 24.93/11.42 right_size = sizeFM fm_r; 24.93/11.42 ; 24.93/11.42 unbox x = x; 24.93/11.42 } 24.93/11.42 " 24.93/11.42 are unpacked to the following functions on top level 24.93/11.42 "mkBranchRight_ok xvy xvz xwu = mkBranchRight_ok0 xvy xvz xwu xvy xvz xvy; 24.93/11.42 " 24.93/11.42 "mkBranchRight_size xvy xvz xwu = sizeFM xvy; 24.93/11.42 " 24.93/11.42 "mkBranchBalance_ok xvy xvz xwu = True; 24.93/11.42 " 24.93/11.42 "mkBranchUnbox xvy xvz xwu x = x; 24.93/11.42 " 24.93/11.42 "mkBranchRight_ok0 xvy xvz xwu fm_r key EmptyFM = True; 24.93/11.42 mkBranchRight_ok0 xvy xvz xwu fm_r key (Branch right_key yz zu zv zw) = key < mkBranchRight_ok0Smallest_right_key fm_r; 24.93/11.42 " 24.93/11.42 "mkBranchLeft_ok xvy xvz xwu = mkBranchLeft_ok0 xvy xvz xwu xwu xvz xwu; 24.93/11.42 " 24.93/11.42 "mkBranchLeft_size xvy xvz xwu = sizeFM xwu; 24.93/11.42 " 24.93/11.42 "mkBranchLeft_ok0 xvy xvz xwu fm_l key EmptyFM = True; 24.93/11.42 mkBranchLeft_ok0 xvy xvz xwu fm_l key (Branch left_key yv yw yx yy) = mkBranchLeft_ok0Biggest_left_key fm_l < key; 24.93/11.42 " 24.93/11.42 The bindings of the following Let/Where expression 24.93/11.42 "let { 24.93/11.42 result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; 24.93/11.42 } in result" 24.93/11.42 are unpacked to the following functions on top level 24.93/11.42 "mkBranchResult xwv xww xwx xwy = Branch xwv xww (mkBranchUnbox xwx xwv xwy (1 + mkBranchLeft_size xwx xwv xwy + mkBranchRight_size xwx xwv xwy)) xwy xwx; 24.93/11.42 " 24.93/11.42 The bindings of the following Let/Where expression 24.93/11.42 "glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_l < size_r) where { 24.93/11.42 glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy); 24.93/11.42 ; 24.93/11.42 glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy)); 24.93/11.42 glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal0 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise; 24.93/11.42 ; 24.93/11.42 glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy; 24.93/11.42 glueVBal2 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal1 vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * size_r < size_l); 24.93/11.42 ; 24.93/11.42 size_l = sizeFM (Branch vxu vxv vxw vxx vxy); 24.93/11.42 ; 24.93/11.42 size_r = sizeFM (Branch vyu vyv vyw vyx vyy); 24.93/11.42 } 24.93/11.42 " 24.93/11.42 are unpacked to the following functions on top level 24.93/11.42 "glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy; 24.93/11.42 glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw < glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw); 24.93/11.42 " 24.93/11.42 "glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xwz xxu xxv xxw xxx); 24.93/11.42 " 24.93/11.42 "glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xxy xxz xyu xyv xyw); 24.93/11.42 " 24.93/11.42 "glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy)); 24.93/11.42 glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise; 24.93/11.42 " 24.93/11.42 "glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy); 24.93/11.42 " 24.93/11.42 The bindings of the following Let/Where expression 24.93/11.42 "glueBal1 fm1 fm2 (sizeFM fm2 > sizeFM fm1) where { 24.93/11.42 glueBal0 fm1 fm2 True = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2; 24.93/11.42 ; 24.93/11.42 glueBal1 fm1 fm2 True = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2); 24.93/11.42 glueBal1 fm1 fm2 False = glueBal0 fm1 fm2 otherwise; 24.93/11.42 ; 24.93/11.42 mid_elt1 = mid_elt10 vv2; 24.93/11.42 ; 24.93/11.42 mid_elt10 (vww,mid_elt1) = mid_elt1; 24.93/11.42 ; 24.93/11.42 mid_elt2 = mid_elt20 vv3; 24.93/11.42 ; 24.93/11.42 mid_elt20 (vwv,mid_elt2) = mid_elt2; 24.93/11.42 ; 24.93/11.42 mid_key1 = mid_key10 vv2; 24.93/11.42 ; 24.93/11.42 mid_key10 (mid_key1,vwx) = mid_key1; 24.93/11.42 ; 24.93/11.42 mid_key2 = mid_key20 vv3; 24.93/11.42 ; 24.93/11.42 mid_key20 (mid_key2,vwy) = mid_key2; 24.93/11.42 ; 24.93/11.42 vv2 = findMax fm1; 24.93/11.42 ; 24.93/11.42 vv3 = findMin fm2; 24.93/11.42 } 24.93/11.42 " 24.93/11.42 are unpacked to the following functions on top level 24.93/11.42 "glueBal2Mid_key20 xyx xyy (mid_key2,vwy) = mid_key2; 24.93/11.42 " 24.93/11.42 "glueBal2Mid_elt2 xyx xyy = glueBal2Mid_elt20 xyx xyy (glueBal2Vv3 xyx xyy); 24.93/11.42 " 24.93/11.42 "glueBal2Mid_elt10 xyx xyy (vww,mid_elt1) = mid_elt1; 24.93/11.42 " 24.93/11.42 "glueBal2Mid_key2 xyx xyy = glueBal2Mid_key20 xyx xyy (glueBal2Vv3 xyx xyy); 24.93/11.42 " 24.93/11.42 "glueBal2GlueBal0 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 xyx xyy) (glueBal2Mid_elt1 xyx xyy) (deleteMax fm1) fm2; 24.93/11.42 " 24.93/11.42 "glueBal2Vv3 xyx xyy = findMin xyx; 24.93/11.42 " 24.93/11.42 "glueBal2Vv2 xyx xyy = findMax xyy; 24.93/11.42 " 24.93/11.42 "glueBal2GlueBal1 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 xyx xyy) (glueBal2Mid_elt2 xyx xyy) fm1 (deleteMin fm2); 24.93/11.42 glueBal2GlueBal1 xyx xyy fm1 fm2 False = glueBal2GlueBal0 xyx xyy fm1 fm2 otherwise; 24.93/11.42 " 24.93/11.42 "glueBal2Mid_elt20 xyx xyy (vwv,mid_elt2) = mid_elt2; 24.93/11.42 " 24.93/11.42 "glueBal2Mid_elt1 xyx xyy = glueBal2Mid_elt10 xyx xyy (glueBal2Vv2 xyx xyy); 24.93/11.42 " 24.93/11.42 "glueBal2Mid_key1 xyx xyy = glueBal2Mid_key10 xyx xyy (glueBal2Vv2 xyx xyy); 24.93/11.42 " 24.93/11.42 "glueBal2Mid_key10 xyx xyy (mid_key1,vwx) = mid_key1; 24.93/11.42 " 24.93/11.42 The bindings of the following Let/Where expression 24.93/11.42 "mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_l < size_r) where { 24.93/11.42 mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy); 24.93/11.42 ; 24.93/11.42 mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy)); 24.93/11.42 mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch0 key elt wu wv ww wx wy xu xv xw xx xy otherwise; 24.93/11.42 ; 24.93/11.42 mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy; 24.93/11.42 mkVBalBranch2 key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch1 key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * size_r < size_l); 24.93/11.42 ; 24.93/11.42 size_l = sizeFM (Branch wu wv ww wx wy); 24.93/11.42 ; 24.93/11.42 size_r = sizeFM (Branch xu xv xw xx xy); 24.93/11.42 } 24.93/11.42 " 24.93/11.42 are unpacked to the following functions on top level 24.93/11.42 "mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy)); 24.93/11.42 mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy otherwise; 24.93/11.42 " 24.93/11.42 "mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy); 24.93/11.42 " 24.93/11.42 "mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xyz xzu xzv xzw xzx); 24.93/11.42 " 24.93/11.42 "mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xzy xzz yuu yuv yuw); 24.93/11.42 " 24.93/11.42 "mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy; 24.93/11.42 mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw < mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw); 24.93/11.42 " 24.93/11.42 The bindings of the following Let/Where expression 24.93/11.42 "let { 24.93/11.42 smallest_right_key = fst (findMin fm_r); 24.93/11.42 } in key < smallest_right_key" 24.93/11.42 are unpacked to the following functions on top level 24.93/11.42 "mkBranchRight_ok0Smallest_right_key yux = fst (findMin yux); 24.93/11.42 " 24.93/11.42 The bindings of the following Let/Where expression 24.93/11.42 "let { 24.93/11.42 biggest_left_key = fst (findMax fm_l); 24.93/11.42 } in biggest_left_key < key" 24.93/11.42 are unpacked to the following functions on top level 24.93/11.42 "mkBranchLeft_ok0Biggest_left_key yuy = fst (findMax yuy); 24.93/11.42 " 24.93/11.42 24.93/11.42 ---------------------------------------- 24.93/11.42 24.93/11.42 (10) 24.93/11.42 Obligation: 24.93/11.42 mainModule Main 24.93/11.42 module FiniteMap where { 24.93/11.42 import qualified Main; 24.93/11.42 import qualified Maybe; 24.93/11.42 import qualified Prelude; 24.93/11.42 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 24.93/11.42 24.93/11.42 instance (Eq a, Eq b) => Eq FiniteMap b a where { 24.93/11.42 } 24.93/11.42 addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; 24.93/11.42 addToFM fm key elt = addToFM_C addToFM0 fm key elt; 24.93/11.42 24.93/11.42 addToFM0 old new = new; 24.93/11.42 24.93/11.42 addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; 24.93/11.42 addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt; 24.93/11.42 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt; 24.93/11.42 24.93/11.42 addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r; 24.93/11.42 24.93/11.42 addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt); 24.93/11.42 addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise; 24.93/11.42 24.93/11.42 addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r; 24.93/11.42 addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key); 24.93/11.42 24.93/11.42 addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key); 24.93/11.42 24.93/11.42 addToFM_C4 combiner EmptyFM key elt = unitFM key elt; 24.93/11.42 addToFM_C4 wvu wvv wvw wvx = addToFM_C3 wvu wvv wvw wvx; 24.93/11.42 24.93/11.42 deleteMax :: Ord b => FiniteMap b a -> FiniteMap b a; 24.93/11.42 deleteMax (Branch key elt xz fm_l EmptyFM) = fm_l; 24.93/11.42 deleteMax (Branch key elt yu fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r); 24.93/11.42 24.93/11.42 deleteMin :: Ord a => FiniteMap a b -> FiniteMap a b; 24.93/11.42 deleteMin (Branch key elt vzx EmptyFM fm_r) = fm_r; 24.93/11.42 deleteMin (Branch key elt vzy fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r; 24.93/11.42 24.93/11.42 emptyFM :: FiniteMap b a; 24.93/11.42 emptyFM = EmptyFM; 24.93/11.42 24.93/11.42 filterFM :: Ord b => (b -> a -> Bool) -> FiniteMap b a -> FiniteMap b a; 24.93/11.42 filterFM p EmptyFM = filterFM3 p EmptyFM; 24.93/11.42 filterFM p (Branch key elt vzz fm_l fm_r) = filterFM2 p (Branch key elt vzz fm_l fm_r); 24.93/11.42 24.93/11.42 filterFM0 p key elt vzz fm_l fm_r True = glueVBal (filterFM p fm_l) (filterFM p fm_r); 24.93/11.42 24.93/11.42 filterFM1 p key elt vzz fm_l fm_r True = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r); 24.93/11.42 filterFM1 p key elt vzz fm_l fm_r False = filterFM0 p key elt vzz fm_l fm_r otherwise; 24.93/11.42 24.93/11.42 filterFM2 p (Branch key elt vzz fm_l fm_r) = filterFM1 p key elt vzz fm_l fm_r (p key elt); 24.93/11.42 24.93/11.42 filterFM3 p EmptyFM = emptyFM; 24.93/11.42 filterFM3 xuy xuz = filterFM2 xuy xuz; 24.93/11.42 24.93/11.42 findMax :: FiniteMap a b -> (a,b); 24.93/11.42 findMax (Branch key elt zx zy EmptyFM) = (key,elt); 24.93/11.42 findMax (Branch key elt zz vuu fm_r) = findMax fm_r; 24.93/11.42 24.93/11.42 findMin :: FiniteMap b a -> (b,a); 24.93/11.42 findMin (Branch key elt wuu EmptyFM wuv) = (key,elt); 24.93/11.42 findMin (Branch key elt wuw fm_l wux) = findMin fm_l; 24.93/11.42 24.93/11.42 glueBal :: Ord a => FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 24.93/11.42 glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2; 24.93/11.42 glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM; 24.93/11.42 glueBal fm1 fm2 = glueBal2 fm1 fm2; 24.93/11.42 24.93/11.42 glueBal2 fm1 fm2 = glueBal2GlueBal1 fm2 fm1 fm1 fm2 (sizeFM fm2 > sizeFM fm1); 24.93/11.42 24.93/11.42 glueBal2GlueBal0 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 xyx xyy) (glueBal2Mid_elt1 xyx xyy) (deleteMax fm1) fm2; 24.93/11.42 24.93/11.42 glueBal2GlueBal1 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 xyx xyy) (glueBal2Mid_elt2 xyx xyy) fm1 (deleteMin fm2); 24.93/11.42 glueBal2GlueBal1 xyx xyy fm1 fm2 False = glueBal2GlueBal0 xyx xyy fm1 fm2 otherwise; 24.93/11.42 24.93/11.42 glueBal2Mid_elt1 xyx xyy = glueBal2Mid_elt10 xyx xyy (glueBal2Vv2 xyx xyy); 24.93/11.42 24.93/11.42 glueBal2Mid_elt10 xyx xyy (vww,mid_elt1) = mid_elt1; 24.93/11.42 24.93/11.42 glueBal2Mid_elt2 xyx xyy = glueBal2Mid_elt20 xyx xyy (glueBal2Vv3 xyx xyy); 24.93/11.42 24.93/11.42 glueBal2Mid_elt20 xyx xyy (vwv,mid_elt2) = mid_elt2; 24.93/11.42 24.93/11.42 glueBal2Mid_key1 xyx xyy = glueBal2Mid_key10 xyx xyy (glueBal2Vv2 xyx xyy); 24.93/11.42 24.93/11.42 glueBal2Mid_key10 xyx xyy (mid_key1,vwx) = mid_key1; 24.93/11.42 24.93/11.42 glueBal2Mid_key2 xyx xyy = glueBal2Mid_key20 xyx xyy (glueBal2Vv3 xyx xyy); 24.93/11.42 24.93/11.42 glueBal2Mid_key20 xyx xyy (mid_key2,vwy) = mid_key2; 24.93/11.42 24.93/11.42 glueBal2Vv2 xyx xyy = findMax xyy; 24.93/11.42 24.93/11.42 glueBal2Vv3 xyx xyy = findMin xyx; 24.93/11.42 24.93/11.42 glueBal3 fm1 EmptyFM = fm1; 24.93/11.42 glueBal3 wyv wyw = glueBal2 wyv wyw; 24.93/11.42 24.93/11.42 glueBal4 EmptyFM fm2 = fm2; 24.93/11.42 glueBal4 wyy wyz = glueBal3 wyy wyz; 24.93/11.42 24.93/11.42 glueVBal :: Ord a => FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 24.93/11.42 glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2; 24.93/11.42 glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM; 24.93/11.42 glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy); 24.93/11.42 24.93/11.42 glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3GlueVBal2 vyu vyv vyw vyx vyy vxu vxv vxw vxx vxy vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * glueVBal3Size_l vyu vyv vyw vyx vyy vxu vxv vxw vxx vxy < glueVBal3Size_r vyu vyv vyw vyx vyy vxu vxv vxw vxx vxy); 24.93/11.42 24.93/11.42 glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy); 24.93/11.42 24.93/11.42 glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy)); 24.93/11.42 glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise; 24.93/11.42 24.93/11.42 glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy; 24.93/11.42 glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw < glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw); 24.93/11.42 24.93/11.42 glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xxy xxz xyu xyv xyw); 24.93/11.42 24.93/11.42 glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xwz xxu xxv xxw xxx); 24.93/11.42 24.93/11.42 glueVBal4 fm1 EmptyFM = fm1; 24.93/11.42 glueVBal4 wzx wzy = glueVBal3 wzx wzy; 24.93/11.42 24.93/11.42 glueVBal5 EmptyFM fm2 = fm2; 24.93/11.42 glueVBal5 xuu xuv = glueVBal4 xuu xuv; 24.93/11.42 24.93/11.42 mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 24.93/11.42 mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R; 24.93/11.42 24.93/11.42 mkBalBranch6 key elt fm_L fm_R = mkBalBranch6MkBalBranch5 key elt fm_L fm_R key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_L fm_R + mkBalBranch6Size_r key elt fm_L fm_R < 2); 24.93/11.42 24.93/11.42 mkBalBranch6Double_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 xvu xvv fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); 24.93/11.42 24.93/11.42 mkBalBranch6Double_R xvu xvv xvw xvx (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 xvu xvv fm_lrr fm_r); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Double_L xvu xvv xvw xvx fm_L fm_R; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Single_L xvu xvv xvw xvx fm_L fm_R; 24.93/11.42 mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Double_R xvu xvv xvw xvx fm_L fm_R; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Single_R xvu xvv xvw xvx fm_L fm_R; 24.93/11.42 mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R fm_L; 24.93/11.42 mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R otherwise; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R fm_R; 24.93/11.42 mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_l xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_r xvu xvv xvw xvx); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R; 24.93/11.42 mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_r xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_l xvu xvv xvw xvx); 24.93/11.42 24.93/11.42 mkBalBranch6Single_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 xvu xvv fm_l fm_rl) fm_rr; 24.93/11.42 24.93/11.42 mkBalBranch6Single_R xvu xvv xvw xvx (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 xvu xvv fm_lr fm_r); 24.93/11.42 24.93/11.42 mkBalBranch6Size_l xvu xvv xvw xvx = sizeFM xvw; 24.93/11.42 24.93/11.42 mkBalBranch6Size_r xvu xvv xvw xvx = sizeFM xvx; 24.93/11.42 24.93/11.42 mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 24.93/11.42 mkBranch which key elt fm_l fm_r = mkBranchResult key elt fm_r fm_l; 24.93/11.42 24.93/11.42 mkBranchBalance_ok xvy xvz xwu = True; 24.93/11.42 24.93/11.42 mkBranchLeft_ok xvy xvz xwu = mkBranchLeft_ok0 xvy xvz xwu xwu xvz xwu; 24.93/11.42 24.93/11.42 mkBranchLeft_ok0 xvy xvz xwu fm_l key EmptyFM = True; 24.93/11.42 mkBranchLeft_ok0 xvy xvz xwu fm_l key (Branch left_key yv yw yx yy) = mkBranchLeft_ok0Biggest_left_key fm_l < key; 24.93/11.42 24.93/11.42 mkBranchLeft_ok0Biggest_left_key yuy = fst (findMax yuy); 24.93/11.42 24.93/11.42 mkBranchLeft_size xvy xvz xwu = sizeFM xwu; 24.93/11.42 24.93/11.42 mkBranchResult xwv xww xwx xwy = Branch xwv xww (mkBranchUnbox xwx xwv xwy (1 + mkBranchLeft_size xwx xwv xwy + mkBranchRight_size xwx xwv xwy)) xwy xwx; 24.93/11.42 24.93/11.42 mkBranchRight_ok xvy xvz xwu = mkBranchRight_ok0 xvy xvz xwu xvy xvz xvy; 24.93/11.42 24.93/11.42 mkBranchRight_ok0 xvy xvz xwu fm_r key EmptyFM = True; 24.93/11.42 mkBranchRight_ok0 xvy xvz xwu fm_r key (Branch right_key yz zu zv zw) = key < mkBranchRight_ok0Smallest_right_key fm_r; 24.93/11.42 24.93/11.42 mkBranchRight_ok0Smallest_right_key yux = fst (findMin yux); 24.93/11.42 24.93/11.42 mkBranchRight_size xvy xvz xwu = sizeFM xvy; 24.93/11.42 24.93/11.42 mkBranchUnbox :: Ord a => -> (FiniteMap a b) ( -> a ( -> (FiniteMap a b) (Int -> Int))); 24.93/11.42 mkBranchUnbox xvy xvz xwu x = x; 24.93/11.42 24.93/11.42 mkVBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 24.93/11.42 mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r; 24.93/11.42 mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM; 24.93/11.42 mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy); 24.93/11.42 24.93/11.42 mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3MkVBalBranch2 wu wv ww wx wy xu xv xw xx xy key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * mkVBalBranch3Size_l wu wv ww wx wy xu xv xw xx xy < mkVBalBranch3Size_r wu wv ww wx wy xu xv xw xx xy); 24.93/11.42 24.93/11.42 mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch 13 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy); 24.93/11.42 24.93/11.42 mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy)); 24.93/11.42 mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy otherwise; 24.93/11.42 24.93/11.42 mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy; 24.93/11.42 mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw < mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw); 24.93/11.42 24.93/11.42 mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xyz xzu xzv xzw xzx); 24.93/11.42 24.93/11.42 mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xzy xzz yuu yuv yuw); 24.93/11.42 24.93/11.42 mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt; 24.93/11.42 mkVBalBranch4 wwv www wwx wwy = mkVBalBranch3 wwv www wwx wwy; 24.93/11.42 24.93/11.42 mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt; 24.93/11.42 mkVBalBranch5 wxu wxv wxw wxx = mkVBalBranch4 wxu wxv wxw wxx; 24.93/11.42 24.93/11.42 sIZE_RATIO :: Int; 24.93/11.42 sIZE_RATIO = 5; 24.93/11.42 24.93/11.42 sizeFM :: FiniteMap a b -> Int; 24.93/11.42 sizeFM EmptyFM = 0; 24.93/11.42 sizeFM (Branch vyz vzu size vzv vzw) = size; 24.93/11.42 24.93/11.42 unitFM :: a -> b -> FiniteMap a b; 24.93/11.42 unitFM key elt = Branch key elt 1 emptyFM emptyFM; 24.93/11.42 24.93/11.42 } 24.93/11.42 module Maybe where { 24.93/11.42 import qualified FiniteMap; 24.93/11.42 import qualified Main; 24.93/11.42 import qualified Prelude; 24.93/11.42 } 24.93/11.42 module Main where { 24.93/11.42 import qualified FiniteMap; 24.93/11.42 import qualified Maybe; 24.93/11.42 import qualified Prelude; 24.93/11.42 } 24.93/11.42 24.93/11.42 ---------------------------------------- 24.93/11.42 24.93/11.42 (11) NumRed (SOUND) 24.93/11.42 Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero. 24.93/11.42 ---------------------------------------- 24.93/11.42 24.93/11.42 (12) 24.93/11.42 Obligation: 24.93/11.42 mainModule Main 24.93/11.42 module FiniteMap where { 24.93/11.42 import qualified Main; 24.93/11.42 import qualified Maybe; 24.93/11.42 import qualified Prelude; 24.93/11.42 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 24.93/11.42 24.93/11.42 instance (Eq a, Eq b) => Eq FiniteMap b a where { 24.93/11.42 } 24.93/11.42 addToFM :: Ord a => FiniteMap a b -> a -> b -> FiniteMap a b; 24.93/11.42 addToFM fm key elt = addToFM_C addToFM0 fm key elt; 24.93/11.42 24.93/11.42 addToFM0 old new = new; 24.93/11.42 24.93/11.42 addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; 24.93/11.42 addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt; 24.93/11.42 addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt; 24.93/11.42 24.93/11.42 addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r; 24.93/11.42 24.93/11.42 addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt); 24.93/11.42 addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise; 24.93/11.42 24.93/11.42 addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r; 24.93/11.42 addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key); 24.93/11.42 24.93/11.42 addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key); 24.93/11.42 24.93/11.42 addToFM_C4 combiner EmptyFM key elt = unitFM key elt; 24.93/11.42 addToFM_C4 wvu wvv wvw wvx = addToFM_C3 wvu wvv wvw wvx; 24.93/11.42 24.93/11.42 deleteMax :: Ord b => FiniteMap b a -> FiniteMap b a; 24.93/11.42 deleteMax (Branch key elt xz fm_l EmptyFM) = fm_l; 24.93/11.42 deleteMax (Branch key elt yu fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r); 24.93/11.42 24.93/11.42 deleteMin :: Ord b => FiniteMap b a -> FiniteMap b a; 24.93/11.42 deleteMin (Branch key elt vzx EmptyFM fm_r) = fm_r; 24.93/11.42 deleteMin (Branch key elt vzy fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r; 24.93/11.42 24.93/11.42 emptyFM :: FiniteMap b a; 24.93/11.42 emptyFM = EmptyFM; 24.93/11.42 24.93/11.42 filterFM :: Ord b => (b -> a -> Bool) -> FiniteMap b a -> FiniteMap b a; 24.93/11.42 filterFM p EmptyFM = filterFM3 p EmptyFM; 24.93/11.42 filterFM p (Branch key elt vzz fm_l fm_r) = filterFM2 p (Branch key elt vzz fm_l fm_r); 24.93/11.42 24.93/11.42 filterFM0 p key elt vzz fm_l fm_r True = glueVBal (filterFM p fm_l) (filterFM p fm_r); 24.93/11.42 24.93/11.42 filterFM1 p key elt vzz fm_l fm_r True = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r); 24.93/11.42 filterFM1 p key elt vzz fm_l fm_r False = filterFM0 p key elt vzz fm_l fm_r otherwise; 24.93/11.42 24.93/11.42 filterFM2 p (Branch key elt vzz fm_l fm_r) = filterFM1 p key elt vzz fm_l fm_r (p key elt); 24.93/11.42 24.93/11.42 filterFM3 p EmptyFM = emptyFM; 24.93/11.42 filterFM3 xuy xuz = filterFM2 xuy xuz; 24.93/11.42 24.93/11.42 findMax :: FiniteMap b a -> (b,a); 24.93/11.42 findMax (Branch key elt zx zy EmptyFM) = (key,elt); 24.93/11.42 findMax (Branch key elt zz vuu fm_r) = findMax fm_r; 24.93/11.42 24.93/11.42 findMin :: FiniteMap b a -> (b,a); 24.93/11.42 findMin (Branch key elt wuu EmptyFM wuv) = (key,elt); 24.93/11.42 findMin (Branch key elt wuw fm_l wux) = findMin fm_l; 24.93/11.42 24.93/11.42 glueBal :: Ord b => FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 24.93/11.42 glueBal EmptyFM fm2 = glueBal4 EmptyFM fm2; 24.93/11.42 glueBal fm1 EmptyFM = glueBal3 fm1 EmptyFM; 24.93/11.42 glueBal fm1 fm2 = glueBal2 fm1 fm2; 24.93/11.42 24.93/11.42 glueBal2 fm1 fm2 = glueBal2GlueBal1 fm2 fm1 fm1 fm2 (sizeFM fm2 > sizeFM fm1); 24.93/11.42 24.93/11.42 glueBal2GlueBal0 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key1 xyx xyy) (glueBal2Mid_elt1 xyx xyy) (deleteMax fm1) fm2; 24.93/11.42 24.93/11.42 glueBal2GlueBal1 xyx xyy fm1 fm2 True = mkBalBranch (glueBal2Mid_key2 xyx xyy) (glueBal2Mid_elt2 xyx xyy) fm1 (deleteMin fm2); 24.93/11.42 glueBal2GlueBal1 xyx xyy fm1 fm2 False = glueBal2GlueBal0 xyx xyy fm1 fm2 otherwise; 24.93/11.42 24.93/11.42 glueBal2Mid_elt1 xyx xyy = glueBal2Mid_elt10 xyx xyy (glueBal2Vv2 xyx xyy); 24.93/11.42 24.93/11.42 glueBal2Mid_elt10 xyx xyy (vww,mid_elt1) = mid_elt1; 24.93/11.42 24.93/11.42 glueBal2Mid_elt2 xyx xyy = glueBal2Mid_elt20 xyx xyy (glueBal2Vv3 xyx xyy); 24.93/11.42 24.93/11.42 glueBal2Mid_elt20 xyx xyy (vwv,mid_elt2) = mid_elt2; 24.93/11.42 24.93/11.42 glueBal2Mid_key1 xyx xyy = glueBal2Mid_key10 xyx xyy (glueBal2Vv2 xyx xyy); 24.93/11.42 24.93/11.42 glueBal2Mid_key10 xyx xyy (mid_key1,vwx) = mid_key1; 24.93/11.42 24.93/11.42 glueBal2Mid_key2 xyx xyy = glueBal2Mid_key20 xyx xyy (glueBal2Vv3 xyx xyy); 24.93/11.42 24.93/11.42 glueBal2Mid_key20 xyx xyy (mid_key2,vwy) = mid_key2; 24.93/11.42 24.93/11.42 glueBal2Vv2 xyx xyy = findMax xyy; 24.93/11.42 24.93/11.42 glueBal2Vv3 xyx xyy = findMin xyx; 24.93/11.42 24.93/11.42 glueBal3 fm1 EmptyFM = fm1; 24.93/11.42 glueBal3 wyv wyw = glueBal2 wyv wyw; 24.93/11.42 24.93/11.42 glueBal4 EmptyFM fm2 = fm2; 24.93/11.42 glueBal4 wyy wyz = glueBal3 wyy wyz; 24.93/11.42 24.93/11.42 glueVBal :: Ord a => FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 24.93/11.42 glueVBal EmptyFM fm2 = glueVBal5 EmptyFM fm2; 24.93/11.42 glueVBal fm1 EmptyFM = glueVBal4 fm1 EmptyFM; 24.93/11.42 glueVBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy); 24.93/11.42 24.93/11.42 glueVBal3 (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy) = glueVBal3GlueVBal2 vyu vyv vyw vyx vyy vxu vxv vxw vxx vxy vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * glueVBal3Size_l vyu vyv vyw vyx vyy vxu vxv vxw vxx vxy < glueVBal3Size_r vyu vyv vyw vyx vyy vxu vxv vxw vxx vxy); 24.93/11.42 24.93/11.42 glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = glueBal (Branch vxu vxv vxw vxx vxy) (Branch vyu vyv vyw vyx vyy); 24.93/11.42 24.93/11.42 glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vxu vxv vxx (glueVBal vxy (Branch vyu vyv vyw vyx vyy)); 24.93/11.42 glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal0 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy otherwise; 24.93/11.42 24.93/11.42 glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy True = mkBalBranch vyu vyv (glueVBal (Branch vxu vxv vxw vxx vxy) vyx) vyy; 24.93/11.42 glueVBal3GlueVBal2 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy False = glueVBal3GlueVBal1 xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw vxu vxv vxw vxx vxy vyu vyv vyw vyx vyy (sIZE_RATIO * glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw < glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw); 24.93/11.42 24.93/11.42 glueVBal3Size_l xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xxy xxz xyu xyv xyw); 24.93/11.42 24.93/11.42 glueVBal3Size_r xwz xxu xxv xxw xxx xxy xxz xyu xyv xyw = sizeFM (Branch xwz xxu xxv xxw xxx); 24.93/11.42 24.93/11.42 glueVBal4 fm1 EmptyFM = fm1; 24.93/11.42 glueVBal4 wzx wzy = glueVBal3 wzx wzy; 24.93/11.42 24.93/11.42 glueVBal5 EmptyFM fm2 = fm2; 24.93/11.42 glueVBal5 xuu xuv = glueVBal4 xuu xuv; 24.93/11.42 24.93/11.42 mkBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 24.93/11.42 mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R; 24.93/11.42 24.93/11.42 mkBalBranch6 key elt fm_L fm_R = mkBalBranch6MkBalBranch5 key elt fm_L fm_R key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_L fm_R + mkBalBranch6Size_r key elt fm_L fm_R < Pos (Succ (Succ Zero))); 24.93/11.42 24.93/11.42 mkBalBranch6Double_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vvv (Branch key_rl elt_rl vvw fm_rll fm_rlr) fm_rr) = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) key_rl elt_rl (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))) xvu xvv fm_l fm_rll) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))) key_r elt_r fm_rlr fm_rr); 24.93/11.42 24.93/11.42 mkBalBranch6Double_R xvu xvv xvw xvx (Branch key_l elt_l vuw fm_ll (Branch key_lr elt_lr vux fm_lrl fm_lrr)) fm_r = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))) key_lr elt_lr (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) key_l elt_l fm_ll fm_lrl) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))) xvu xvv fm_lrr fm_r); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Double_L xvu xvv xvw xvx fm_L fm_R; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr True = mkBalBranch6Single_L xvu xvv xvw xvx fm_L fm_R; 24.93/11.42 mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr otherwise; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch02 xvu xvv xvw xvx fm_L fm_R (Branch vvx vvy vvz fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xvu xvv xvw xvx fm_L fm_R vvx vvy vvz fm_rl fm_rr (sizeFM fm_rl < Pos (Succ (Succ Zero)) * sizeFM fm_rr); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Double_R xvu xvv xvw xvx fm_L fm_R; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr True = mkBalBranch6Single_R xvu xvv xvw xvx fm_L fm_R; 24.93/11.42 mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr otherwise; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch12 xvu xvv xvw xvx fm_L fm_R (Branch vuy vuz vvu fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xvu xvv xvw xvx fm_L fm_R vuy vuz vvu fm_ll fm_lr (sizeFM fm_lr < Pos (Succ (Succ Zero)) * sizeFM fm_ll); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch (Pos (Succ (Succ Zero))) key elt fm_L fm_R; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xvu xvv xvw xvx fm_L fm_R fm_L; 24.93/11.42 mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xvu xvv xvw xvx key elt fm_L fm_R otherwise; 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xvu xvv xvw xvx fm_L fm_R fm_R; 24.93/11.42 mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_l xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_r xvu xvv xvw xvx); 24.93/11.42 24.93/11.42 mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R True = mkBranch (Pos (Succ Zero)) key elt fm_L fm_R; 24.93/11.42 mkBalBranch6MkBalBranch5 xvu xvv xvw xvx key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xvu xvv xvw xvx key elt fm_L fm_R (mkBalBranch6Size_r xvu xvv xvw xvx > sIZE_RATIO * mkBalBranch6Size_l xvu xvv xvw xvx); 24.93/11.42 24.93/11.42 mkBalBranch6Single_L xvu xvv xvw xvx fm_l (Branch key_r elt_r vwu fm_rl fm_rr) = mkBranch (Pos (Succ (Succ (Succ Zero)))) key_r elt_r (mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) xvu xvv fm_l fm_rl) fm_rr; 24.93/11.42 24.93/11.42 mkBalBranch6Single_R xvu xvv xvw xvx (Branch key_l elt_l vuv fm_ll fm_lr) fm_r = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))) key_l elt_l fm_ll (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))) xvu xvv fm_lr fm_r); 24.93/11.42 24.93/11.42 mkBalBranch6Size_l xvu xvv xvw xvx = sizeFM xvw; 24.93/11.42 24.93/11.42 mkBalBranch6Size_r xvu xvv xvw xvx = sizeFM xvx; 24.93/11.42 24.93/11.42 mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 24.93/11.42 mkBranch which key elt fm_l fm_r = mkBranchResult key elt fm_r fm_l; 24.93/11.42 24.93/11.42 mkBranchBalance_ok xvy xvz xwu = True; 24.93/11.42 24.93/11.42 mkBranchLeft_ok xvy xvz xwu = mkBranchLeft_ok0 xvy xvz xwu xwu xvz xwu; 24.93/11.42 24.93/11.42 mkBranchLeft_ok0 xvy xvz xwu fm_l key EmptyFM = True; 24.93/11.42 mkBranchLeft_ok0 xvy xvz xwu fm_l key (Branch left_key yv yw yx yy) = mkBranchLeft_ok0Biggest_left_key fm_l < key; 24.93/11.42 24.93/11.42 mkBranchLeft_ok0Biggest_left_key yuy = fst (findMax yuy); 24.93/11.42 24.93/11.42 mkBranchLeft_size xvy xvz xwu = sizeFM xwu; 24.93/11.42 24.93/11.42 mkBranchResult xwv xww xwx xwy = Branch xwv xww (mkBranchUnbox xwx xwv xwy (Pos (Succ Zero) + mkBranchLeft_size xwx xwv xwy + mkBranchRight_size xwx xwv xwy)) xwy xwx; 24.93/11.42 24.93/11.42 mkBranchRight_ok xvy xvz xwu = mkBranchRight_ok0 xvy xvz xwu xvy xvz xvy; 24.93/11.42 24.93/11.42 mkBranchRight_ok0 xvy xvz xwu fm_r key EmptyFM = True; 24.93/11.42 mkBranchRight_ok0 xvy xvz xwu fm_r key (Branch right_key yz zu zv zw) = key < mkBranchRight_ok0Smallest_right_key fm_r; 24.93/11.42 24.93/11.42 mkBranchRight_ok0Smallest_right_key yux = fst (findMin yux); 24.93/11.42 24.93/11.42 mkBranchRight_size xvy xvz xwu = sizeFM xvy; 24.93/11.42 24.93/11.42 mkBranchUnbox :: Ord a => -> (FiniteMap a b) ( -> a ( -> (FiniteMap a b) (Int -> Int))); 24.93/11.42 mkBranchUnbox xvy xvz xwu x = x; 24.93/11.42 24.93/11.42 mkVBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; 24.93/11.42 mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r; 24.93/11.42 mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM; 24.93/11.42 mkVBalBranch key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy); 24.93/11.42 24.93/11.42 mkVBalBranch3 key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy) = mkVBalBranch3MkVBalBranch2 wu wv ww wx wy xu xv xw xx xy key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * mkVBalBranch3Size_l wu wv ww wx wy xu xv xw xx xy < mkVBalBranch3Size_r wu wv ww wx wy xu xv xw xx xy); 24.93/11.42 24.93/11.42 mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))))) key elt (Branch wu wv ww wx wy) (Branch xu xv xw xx xy); 24.93/11.42 24.93/11.42 mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch wu wv wx (mkVBalBranch key elt wy (Branch xu xv xw xx xy)); 24.93/11.42 mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch0 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy otherwise; 24.93/11.42 24.93/11.42 mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy True = mkBalBranch xu xv (mkVBalBranch key elt (Branch wu wv ww wx wy) xx) xy; 24.93/11.42 mkVBalBranch3MkVBalBranch2 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy False = mkVBalBranch3MkVBalBranch1 xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw key elt wu wv ww wx wy xu xv xw xx xy (sIZE_RATIO * mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw < mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw); 24.93/11.42 24.93/11.42 mkVBalBranch3Size_l xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xyz xzu xzv xzw xzx); 24.93/11.42 24.93/11.42 mkVBalBranch3Size_r xyz xzu xzv xzw xzx xzy xzz yuu yuv yuw = sizeFM (Branch xzy xzz yuu yuv yuw); 24.93/11.42 24.93/11.42 mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt; 24.93/11.42 mkVBalBranch4 wwv www wwx wwy = mkVBalBranch3 wwv www wwx wwy; 24.93/11.42 24.93/11.42 mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt; 24.93/11.42 mkVBalBranch5 wxu wxv wxw wxx = mkVBalBranch4 wxu wxv wxw wxx; 24.93/11.42 24.93/11.42 sIZE_RATIO :: Int; 24.93/11.42 sIZE_RATIO = Pos (Succ (Succ (Succ (Succ (Succ Zero))))); 24.93/11.42 24.93/11.42 sizeFM :: FiniteMap a b -> Int; 24.93/11.42 sizeFM EmptyFM = Pos Zero; 24.93/11.42 sizeFM (Branch vyz vzu size vzv vzw) = size; 24.93/11.42 24.93/11.42 unitFM :: b -> a -> FiniteMap b a; 24.93/11.42 unitFM key elt = Branch key elt (Pos (Succ Zero)) emptyFM emptyFM; 24.93/11.42 24.93/11.42 } 24.93/11.42 module Maybe where { 24.93/11.42 import qualified FiniteMap; 24.93/11.42 import qualified Main; 24.93/11.42 import qualified Prelude; 24.93/11.42 } 24.93/11.42 module Main where { 24.93/11.42 import qualified FiniteMap; 24.93/11.42 import qualified Maybe; 24.93/11.42 import qualified Prelude; 24.93/11.42 } 24.93/11.42 24.93/11.42 ---------------------------------------- 24.93/11.42 24.93/11.42 (13) Narrow (SOUND) 24.93/11.42 Haskell To QDPs 24.93/11.42 24.93/11.42 digraph dp_graph { 24.93/11.42 node [outthreshold=100, inthreshold=100];1[label="FiniteMap.filterFM",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 24.93/11.42 3[label="FiniteMap.filterFM yuz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 24.93/11.42 4[label="FiniteMap.filterFM yuz3 yuz4",fontsize=16,color="burlywood",shape="triangle"];13009[label="yuz4/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];4 -> 13009[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13009 -> 5[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13010[label="yuz4/FiniteMap.Branch yuz40 yuz41 yuz42 yuz43 yuz44",fontsize=10,color="white",style="solid",shape="box"];4 -> 13010[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13010 -> 6[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 5[label="FiniteMap.filterFM yuz3 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3]; 24.93/11.42 6[label="FiniteMap.filterFM yuz3 (FiniteMap.Branch yuz40 yuz41 yuz42 yuz43 yuz44)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 24.93/11.42 7[label="FiniteMap.filterFM3 yuz3 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 24.93/11.42 8[label="FiniteMap.filterFM2 yuz3 (FiniteMap.Branch yuz40 yuz41 yuz42 yuz43 yuz44)",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 24.93/11.42 9[label="FiniteMap.emptyFM",fontsize=16,color="black",shape="triangle"];9 -> 11[label="",style="solid", color="black", weight=3]; 24.93/11.42 10 -> 12[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10[label="FiniteMap.filterFM1 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 (yuz3 yuz40 yuz41)",fontsize=16,color="magenta"];10 -> 13[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11[label="FiniteMap.EmptyFM",fontsize=16,color="green",shape="box"];13[label="yuz3 yuz40 yuz41",fontsize=16,color="green",shape="box"];13 -> 18[label="",style="dashed", color="green", weight=3]; 24.93/11.42 13 -> 19[label="",style="dashed", color="green", weight=3]; 24.93/11.42 12[label="FiniteMap.filterFM1 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 yuz5",fontsize=16,color="burlywood",shape="triangle"];13011[label="yuz5/False",fontsize=10,color="white",style="solid",shape="box"];12 -> 13011[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13011 -> 16[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13012[label="yuz5/True",fontsize=10,color="white",style="solid",shape="box"];12 -> 13012[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13012 -> 17[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 18[label="yuz40",fontsize=16,color="green",shape="box"];19[label="yuz41",fontsize=16,color="green",shape="box"];16[label="FiniteMap.filterFM1 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 False",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3]; 24.93/11.42 17[label="FiniteMap.filterFM1 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 True",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3]; 24.93/11.42 20[label="FiniteMap.filterFM0 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 otherwise",fontsize=16,color="black",shape="box"];20 -> 22[label="",style="solid", color="black", weight=3]; 24.93/11.42 21 -> 23[label="",style="dashed", color="red", weight=0]; 24.93/11.42 21[label="FiniteMap.mkVBalBranch yuz40 yuz41 (FiniteMap.filterFM yuz3 yuz43) (FiniteMap.filterFM yuz3 yuz44)",fontsize=16,color="magenta"];21 -> 24[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 21 -> 25[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 22[label="FiniteMap.filterFM0 yuz3 yuz40 yuz41 yuz42 yuz43 yuz44 True",fontsize=16,color="black",shape="box"];22 -> 26[label="",style="solid", color="black", weight=3]; 24.93/11.42 24 -> 4[label="",style="dashed", color="red", weight=0]; 24.93/11.42 24[label="FiniteMap.filterFM yuz3 yuz44",fontsize=16,color="magenta"];24 -> 27[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 25 -> 4[label="",style="dashed", color="red", weight=0]; 24.93/11.42 25[label="FiniteMap.filterFM yuz3 yuz43",fontsize=16,color="magenta"];25 -> 28[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 23[label="FiniteMap.mkVBalBranch yuz40 yuz41 yuz7 yuz6",fontsize=16,color="burlywood",shape="triangle"];13013[label="yuz7/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];23 -> 13013[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13013 -> 29[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13014[label="yuz7/FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74",fontsize=10,color="white",style="solid",shape="box"];23 -> 13014[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13014 -> 30[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 26 -> 31[label="",style="dashed", color="red", weight=0]; 24.93/11.42 26[label="FiniteMap.glueVBal (FiniteMap.filterFM yuz3 yuz43) (FiniteMap.filterFM yuz3 yuz44)",fontsize=16,color="magenta"];26 -> 32[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 26 -> 33[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 27[label="yuz44",fontsize=16,color="green",shape="box"];28[label="yuz43",fontsize=16,color="green",shape="box"];29[label="FiniteMap.mkVBalBranch yuz40 yuz41 FiniteMap.EmptyFM yuz6",fontsize=16,color="black",shape="box"];29 -> 34[label="",style="solid", color="black", weight=3]; 24.93/11.42 30[label="FiniteMap.mkVBalBranch yuz40 yuz41 (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) yuz6",fontsize=16,color="burlywood",shape="box"];13015[label="yuz6/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];30 -> 13015[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13015 -> 35[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13016[label="yuz6/FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64",fontsize=10,color="white",style="solid",shape="box"];30 -> 13016[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13016 -> 36[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 32 -> 4[label="",style="dashed", color="red", weight=0]; 24.93/11.42 32[label="FiniteMap.filterFM yuz3 yuz43",fontsize=16,color="magenta"];32 -> 37[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 33 -> 4[label="",style="dashed", color="red", weight=0]; 24.93/11.42 33[label="FiniteMap.filterFM yuz3 yuz44",fontsize=16,color="magenta"];33 -> 38[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 31[label="FiniteMap.glueVBal yuz9 yuz8",fontsize=16,color="burlywood",shape="triangle"];13017[label="yuz9/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];31 -> 13017[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13017 -> 39[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13018[label="yuz9/FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94",fontsize=10,color="white",style="solid",shape="box"];31 -> 13018[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13018 -> 40[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 34[label="FiniteMap.mkVBalBranch5 yuz40 yuz41 FiniteMap.EmptyFM yuz6",fontsize=16,color="black",shape="box"];34 -> 41[label="",style="solid", color="black", weight=3]; 24.93/11.42 35[label="FiniteMap.mkVBalBranch yuz40 yuz41 (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];35 -> 42[label="",style="solid", color="black", weight=3]; 24.93/11.42 36[label="FiniteMap.mkVBalBranch yuz40 yuz41 (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64)",fontsize=16,color="black",shape="box"];36 -> 43[label="",style="solid", color="black", weight=3]; 24.93/11.42 37[label="yuz43",fontsize=16,color="green",shape="box"];38[label="yuz44",fontsize=16,color="green",shape="box"];39[label="FiniteMap.glueVBal FiniteMap.EmptyFM yuz8",fontsize=16,color="black",shape="box"];39 -> 44[label="",style="solid", color="black", weight=3]; 24.93/11.42 40[label="FiniteMap.glueVBal (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94) yuz8",fontsize=16,color="burlywood",shape="box"];13019[label="yuz8/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];40 -> 13019[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13019 -> 45[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13020[label="yuz8/FiniteMap.Branch yuz80 yuz81 yuz82 yuz83 yuz84",fontsize=10,color="white",style="solid",shape="box"];40 -> 13020[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13020 -> 46[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 41[label="FiniteMap.addToFM yuz6 yuz40 yuz41",fontsize=16,color="black",shape="triangle"];41 -> 47[label="",style="solid", color="black", weight=3]; 24.93/11.42 42[label="FiniteMap.mkVBalBranch4 yuz40 yuz41 (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];42 -> 48[label="",style="solid", color="black", weight=3]; 24.93/11.42 43[label="FiniteMap.mkVBalBranch3 yuz40 yuz41 (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64)",fontsize=16,color="black",shape="box"];43 -> 49[label="",style="solid", color="black", weight=3]; 24.93/11.42 44[label="FiniteMap.glueVBal5 FiniteMap.EmptyFM yuz8",fontsize=16,color="black",shape="box"];44 -> 50[label="",style="solid", color="black", weight=3]; 24.93/11.42 45[label="FiniteMap.glueVBal (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];45 -> 51[label="",style="solid", color="black", weight=3]; 24.93/11.42 46[label="FiniteMap.glueVBal (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94) (FiniteMap.Branch yuz80 yuz81 yuz82 yuz83 yuz84)",fontsize=16,color="black",shape="box"];46 -> 52[label="",style="solid", color="black", weight=3]; 24.93/11.42 47[label="FiniteMap.addToFM_C FiniteMap.addToFM0 yuz6 yuz40 yuz41",fontsize=16,color="burlywood",shape="triangle"];13021[label="yuz6/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];47 -> 13021[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13021 -> 53[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13022[label="yuz6/FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64",fontsize=10,color="white",style="solid",shape="box"];47 -> 13022[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13022 -> 54[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 48 -> 41[label="",style="dashed", color="red", weight=0]; 24.93/11.42 48[label="FiniteMap.addToFM (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74) yuz40 yuz41",fontsize=16,color="magenta"];48 -> 55[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 49 -> 8191[label="",style="dashed", color="red", weight=0]; 24.93/11.42 49[label="FiniteMap.mkVBalBranch3MkVBalBranch2 yuz70 yuz71 yuz72 yuz73 yuz74 yuz60 yuz61 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24.93/11.42 49 -> 8201[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 49 -> 8202[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 49 -> 8203[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 49 -> 8204[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 50[label="yuz8",fontsize=16,color="green",shape="box"];51[label="FiniteMap.glueVBal4 (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];51 -> 57[label="",style="solid", color="black", weight=3]; 24.93/11.42 52[label="FiniteMap.glueVBal3 (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94) (FiniteMap.Branch yuz80 yuz81 yuz82 yuz83 yuz84)",fontsize=16,color="black",shape="box"];52 -> 58[label="",style="solid", color="black", weight=3]; 24.93/11.42 53[label="FiniteMap.addToFM_C FiniteMap.addToFM0 FiniteMap.EmptyFM yuz40 yuz41",fontsize=16,color="black",shape="box"];53 -> 59[label="",style="solid", color="black", weight=3]; 24.93/11.42 54[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64) yuz40 yuz41",fontsize=16,color="black",shape="box"];54 -> 60[label="",style="solid", color="black", weight=3]; 24.93/11.42 55[label="FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74",fontsize=16,color="green",shape="box"];8192[label="yuz64",fontsize=16,color="green",shape="box"];8193[label="yuz60",fontsize=16,color="green",shape="box"];8194[label="yuz40",fontsize=16,color="green",shape="box"];8195[label="yuz71",fontsize=16,color="green",shape="box"];8196[label="yuz41",fontsize=16,color="green",shape="box"];8197[label="yuz72",fontsize=16,color="green",shape="box"];8198[label="yuz73",fontsize=16,color="green",shape="box"];8199[label="yuz63",fontsize=16,color="green",shape="box"];8200[label="yuz70",fontsize=16,color="green",shape="box"];8201[label="yuz74",fontsize=16,color="green",shape="box"];8202[label="yuz61",fontsize=16,color="green",shape="box"];8203 -> 4214[label="",style="dashed", color="red", weight=0]; 24.93/11.42 8203[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz70 yuz71 yuz72 yuz73 yuz74 yuz60 yuz61 yuz62 yuz63 yuz64 < FiniteMap.mkVBalBranch3Size_r yuz70 yuz71 yuz72 yuz73 yuz74 yuz60 yuz61 yuz62 yuz63 yuz64",fontsize=16,color="magenta"];8203 -> 9510[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 8203 -> 9511[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 8204[label="yuz62",fontsize=16,color="green",shape="box"];8191[label="FiniteMap.mkVBalBranch3MkVBalBranch2 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz161 yuz162 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz370",fontsize=16,color="burlywood",shape="triangle"];13023[label="yuz370/False",fontsize=10,color="white",style="solid",shape="box"];8191 -> 13023[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13023 -> 9512[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13024[label="yuz370/True",fontsize=10,color="white",style="solid",shape="box"];8191 -> 13024[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13024 -> 9513[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 57[label="FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94",fontsize=16,color="green",shape="box"];58 -> 9577[label="",style="dashed", color="red", weight=0]; 24.93/11.42 58[label="FiniteMap.glueVBal3GlueVBal2 yuz80 yuz81 yuz82 yuz83 yuz84 yuz90 yuz91 yuz92 yuz93 yuz94 yuz90 yuz91 yuz92 yuz93 yuz94 yuz80 yuz81 yuz82 yuz83 yuz84 (FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz80 yuz81 yuz82 yuz83 yuz84 yuz90 yuz91 yuz92 yuz93 yuz94 < FiniteMap.glueVBal3Size_r yuz80 yuz81 yuz82 yuz83 yuz84 yuz90 yuz91 yuz92 yuz93 yuz94)",fontsize=16,color="magenta"];58 -> 9578[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 58 -> 9579[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 58 -> 9580[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 58 -> 9581[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 58 -> 9582[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 58 -> 9583[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 58 -> 9584[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 58 -> 9585[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 58 -> 9586[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 58 -> 9587[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 58 -> 9588[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 59[label="FiniteMap.addToFM_C4 FiniteMap.addToFM0 FiniteMap.EmptyFM yuz40 yuz41",fontsize=16,color="black",shape="box"];59 -> 63[label="",style="solid", color="black", weight=3]; 24.93/11.42 60[label="FiniteMap.addToFM_C3 FiniteMap.addToFM0 (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64) yuz40 yuz41",fontsize=16,color="black",shape="box"];60 -> 64[label="",style="solid", color="black", weight=3]; 24.93/11.42 9510 -> 8159[label="",style="dashed", color="red", weight=0]; 24.93/11.42 9510[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz70 yuz71 yuz72 yuz73 yuz74 yuz60 yuz61 yuz62 yuz63 yuz64",fontsize=16,color="magenta"];9510 -> 9525[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9511[label="FiniteMap.mkVBalBranch3Size_r yuz70 yuz71 yuz72 yuz73 yuz74 yuz60 yuz61 yuz62 yuz63 yuz64",fontsize=16,color="black",shape="box"];9511 -> 9526[label="",style="solid", color="black", weight=3]; 24.93/11.42 4214[label="yuz161 < yuz151",fontsize=16,color="black",shape="triangle"];4214 -> 4249[label="",style="solid", color="black", weight=3]; 24.93/11.42 9512[label="FiniteMap.mkVBalBranch3MkVBalBranch2 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz161 yuz162 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 False",fontsize=16,color="black",shape="box"];9512 -> 9527[label="",style="solid", color="black", weight=3]; 24.93/11.42 9513[label="FiniteMap.mkVBalBranch3MkVBalBranch2 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz161 yuz162 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 True",fontsize=16,color="black",shape="box"];9513 -> 9528[label="",style="solid", color="black", weight=3]; 24.93/11.42 9578[label="yuz90",fontsize=16,color="green",shape="box"];9579[label="yuz91",fontsize=16,color="green",shape="box"];9580[label="yuz93",fontsize=16,color="green",shape="box"];9581[label="yuz92",fontsize=16,color="green",shape="box"];9582 -> 4214[label="",style="dashed", color="red", weight=0]; 24.93/11.42 9582[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz80 yuz81 yuz82 yuz83 yuz84 yuz90 yuz91 yuz92 yuz93 yuz94 < FiniteMap.glueVBal3Size_r yuz80 yuz81 yuz82 yuz83 yuz84 yuz90 yuz91 yuz92 yuz93 yuz94",fontsize=16,color="magenta"];9582 -> 10597[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9582 -> 10598[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9583[label="yuz82",fontsize=16,color="green",shape="box"];9584[label="yuz81",fontsize=16,color="green",shape="box"];9585[label="yuz83",fontsize=16,color="green",shape="box"];9586[label="yuz80",fontsize=16,color="green",shape="box"];9587[label="yuz94",fontsize=16,color="green",shape="box"];9588[label="yuz84",fontsize=16,color="green",shape="box"];9577[label="FiniteMap.glueVBal3GlueVBal2 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz376",fontsize=16,color="burlywood",shape="triangle"];13025[label="yuz376/False",fontsize=10,color="white",style="solid",shape="box"];9577 -> 13025[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13025 -> 10599[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13026[label="yuz376/True",fontsize=10,color="white",style="solid",shape="box"];9577 -> 13026[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13026 -> 10600[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 63[label="FiniteMap.unitFM yuz40 yuz41",fontsize=16,color="black",shape="box"];63 -> 67[label="",style="solid", color="black", weight=3]; 24.93/11.42 64 -> 10902[label="",style="dashed", color="red", weight=0]; 24.93/11.42 64[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 yuz60 yuz61 yuz62 yuz63 yuz64 yuz40 yuz41 (yuz40 < yuz60)",fontsize=16,color="magenta"];64 -> 10903[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 64 -> 10904[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 64 -> 10905[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 64 -> 10906[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 64 -> 10907[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 64 -> 10908[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 64 -> 10909[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 64 -> 10910[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9525[label="FiniteMap.mkVBalBranch3Size_l yuz70 yuz71 yuz72 yuz73 yuz74 yuz60 yuz61 yuz62 yuz63 yuz64",fontsize=16,color="black",shape="box"];9525 -> 9561[label="",style="solid", color="black", weight=3]; 24.93/11.42 8159[label="FiniteMap.sIZE_RATIO * yuz368",fontsize=16,color="black",shape="triangle"];8159 -> 8165[label="",style="solid", color="black", weight=3]; 24.93/11.42 9526 -> 7250[label="",style="dashed", color="red", weight=0]; 24.93/11.42 9526[label="FiniteMap.sizeFM (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64)",fontsize=16,color="magenta"];4249[label="compare yuz161 yuz151 == LT",fontsize=16,color="black",shape="box"];4249 -> 4347[label="",style="solid", color="black", weight=3]; 24.93/11.42 9527 -> 9562[label="",style="dashed", color="red", weight=0]; 24.93/11.42 9527[label="FiniteMap.mkVBalBranch3MkVBalBranch1 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz161 yuz162 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 (FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_r yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 < FiniteMap.mkVBalBranch3Size_l yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594)",fontsize=16,color="magenta"];9527 -> 9563[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9528 -> 12049[label="",style="dashed", color="red", weight=0]; 24.93/11.42 9528[label="FiniteMap.mkBalBranch yuz1590 yuz1591 (FiniteMap.mkVBalBranch yuz161 yuz162 (FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554) yuz1593) yuz1594",fontsize=16,color="magenta"];9528 -> 12050[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9528 -> 12051[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9528 -> 12052[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9528 -> 12053[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10597 -> 8159[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10597[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz80 yuz81 yuz82 yuz83 yuz84 yuz90 yuz91 yuz92 yuz93 yuz94",fontsize=16,color="magenta"];10597 -> 10620[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10598[label="FiniteMap.glueVBal3Size_r yuz80 yuz81 yuz82 yuz83 yuz84 yuz90 yuz91 yuz92 yuz93 yuz94",fontsize=16,color="black",shape="box"];10598 -> 10621[label="",style="solid", color="black", weight=3]; 24.93/11.42 10599[label="FiniteMap.glueVBal3GlueVBal2 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 False",fontsize=16,color="black",shape="box"];10599 -> 10622[label="",style="solid", color="black", weight=3]; 24.93/11.42 10600[label="FiniteMap.glueVBal3GlueVBal2 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 True",fontsize=16,color="black",shape="box"];10600 -> 10623[label="",style="solid", color="black", weight=3]; 24.93/11.42 67[label="FiniteMap.Branch yuz40 yuz41 (Pos (Succ Zero)) FiniteMap.emptyFM FiniteMap.emptyFM",fontsize=16,color="green",shape="box"];67 -> 71[label="",style="dashed", color="green", weight=3]; 24.93/11.42 67 -> 72[label="",style="dashed", color="green", weight=3]; 24.93/11.42 10903[label="yuz60",fontsize=16,color="green",shape="box"];10904[label="yuz63",fontsize=16,color="green",shape="box"];10905[label="yuz40",fontsize=16,color="green",shape="box"];10906[label="yuz64",fontsize=16,color="green",shape="box"];10907[label="yuz40 < yuz60",fontsize=16,color="black",shape="triangle"];10907 -> 11303[label="",style="solid", color="black", weight=3]; 24.93/11.42 10908[label="yuz61",fontsize=16,color="green",shape="box"];10909[label="yuz62",fontsize=16,color="green",shape="box"];10910[label="yuz41",fontsize=16,color="green",shape="box"];10902[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 yuz411 yuz412 yuz413 yuz414 yuz415 yuz416 yuz417 yuz418",fontsize=16,color="burlywood",shape="triangle"];13027[label="yuz418/False",fontsize=10,color="white",style="solid",shape="box"];10902 -> 13027[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13027 -> 11304[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13028[label="yuz418/True",fontsize=10,color="white",style="solid",shape="box"];10902 -> 13028[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13028 -> 11305[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 9561 -> 7250[label="",style="dashed", color="red", weight=0]; 24.93/11.42 9561[label="FiniteMap.sizeFM (FiniteMap.Branch yuz70 yuz71 yuz72 yuz73 yuz74)",fontsize=16,color="magenta"];9561 -> 9565[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9561 -> 9566[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9561 -> 9567[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9561 -> 9568[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9561 -> 9569[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 8165[label="primMulInt FiniteMap.sIZE_RATIO yuz368",fontsize=16,color="black",shape="triangle"];8165 -> 8175[label="",style="solid", color="black", weight=3]; 24.93/11.42 7250[label="FiniteMap.sizeFM (FiniteMap.Branch yuz60 yuz61 yuz62 yuz63 yuz64)",fontsize=16,color="black",shape="triangle"];7250 -> 7514[label="",style="solid", color="black", weight=3]; 24.93/11.42 4347[label="primCmpInt yuz161 yuz151 == LT",fontsize=16,color="burlywood",shape="triangle"];13029[label="yuz161/Pos yuz1610",fontsize=10,color="white",style="solid",shape="box"];4347 -> 13029[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13029 -> 4400[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13030[label="yuz161/Neg yuz1610",fontsize=10,color="white",style="solid",shape="box"];4347 -> 13030[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13030 -> 4401[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 9563 -> 4214[label="",style="dashed", color="red", weight=0]; 24.93/11.42 9563[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_r yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 < FiniteMap.mkVBalBranch3Size_l yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594",fontsize=16,color="magenta"];9563 -> 9570[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9563 -> 9571[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9562[label="FiniteMap.mkVBalBranch3MkVBalBranch1 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz161 yuz162 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz374",fontsize=16,color="burlywood",shape="triangle"];13031[label="yuz374/False",fontsize=10,color="white",style="solid",shape="box"];9562 -> 13031[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13031 -> 9572[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13032[label="yuz374/True",fontsize=10,color="white",style="solid",shape="box"];9562 -> 13032[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13032 -> 9573[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 12050[label="yuz1591",fontsize=16,color="green",shape="box"];12051[label="yuz1590",fontsize=16,color="green",shape="box"];12052[label="FiniteMap.mkVBalBranch yuz161 yuz162 (FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554) yuz1593",fontsize=16,color="burlywood",shape="box"];13033[label="yuz1593/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12052 -> 13033[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13033 -> 12080[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13034[label="yuz1593/FiniteMap.Branch yuz15930 yuz15931 yuz15932 yuz15933 yuz15934",fontsize=10,color="white",style="solid",shape="box"];12052 -> 13034[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13034 -> 12081[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 12053[label="yuz1594",fontsize=16,color="green",shape="box"];12049[label="FiniteMap.mkBalBranch yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="black",shape="triangle"];12049 -> 12082[label="",style="solid", color="black", weight=3]; 24.93/11.42 10620[label="FiniteMap.glueVBal3Size_l yuz80 yuz81 yuz82 yuz83 yuz84 yuz90 yuz91 yuz92 yuz93 yuz94",fontsize=16,color="black",shape="box"];10620 -> 10644[label="",style="solid", color="black", weight=3]; 24.93/11.42 10621 -> 9550[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10621[label="FiniteMap.sizeFM (FiniteMap.Branch yuz80 yuz81 yuz82 yuz83 yuz84)",fontsize=16,color="magenta"];10621 -> 10645[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10622 -> 10646[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10622[label="FiniteMap.glueVBal3GlueVBal1 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 (FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_r yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 < FiniteMap.glueVBal3Size_l yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)",fontsize=16,color="magenta"];10622 -> 10647[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10623 -> 12049[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10623[label="FiniteMap.mkBalBranch yuz2350 yuz2351 (FiniteMap.glueVBal (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) yuz2353) yuz2354",fontsize=16,color="magenta"];10623 -> 12054[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 71 -> 9[label="",style="dashed", color="red", weight=0]; 24.93/11.42 71[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];72 -> 9[label="",style="dashed", color="red", weight=0]; 24.93/11.42 72[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];11303[label="compare yuz40 yuz60 == LT",fontsize=16,color="black",shape="box"];11303 -> 11361[label="",style="solid", color="black", weight=3]; 24.93/11.42 11304[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 yuz411 yuz412 yuz413 yuz414 yuz415 yuz416 yuz417 False",fontsize=16,color="black",shape="box"];11304 -> 11362[label="",style="solid", color="black", weight=3]; 24.93/11.42 11305[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 yuz411 yuz412 yuz413 yuz414 yuz415 yuz416 yuz417 True",fontsize=16,color="black",shape="box"];11305 -> 11363[label="",style="solid", color="black", weight=3]; 24.93/11.42 9565[label="yuz71",fontsize=16,color="green",shape="box"];9566[label="yuz74",fontsize=16,color="green",shape="box"];9567[label="yuz70",fontsize=16,color="green",shape="box"];9568[label="yuz72",fontsize=16,color="green",shape="box"];9569[label="yuz73",fontsize=16,color="green",shape="box"];8175[label="primMulInt (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) yuz368",fontsize=16,color="burlywood",shape="box"];13035[label="yuz368/Pos yuz3680",fontsize=10,color="white",style="solid",shape="box"];8175 -> 13035[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13035 -> 9514[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13036[label="yuz368/Neg yuz3680",fontsize=10,color="white",style="solid",shape="box"];8175 -> 13036[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13036 -> 9515[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 7514[label="yuz62",fontsize=16,color="green",shape="box"];4400[label="primCmpInt (Pos yuz1610) yuz151 == LT",fontsize=16,color="burlywood",shape="box"];13037[label="yuz1610/Succ yuz16100",fontsize=10,color="white",style="solid",shape="box"];4400 -> 13037[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13037 -> 5270[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13038[label="yuz1610/Zero",fontsize=10,color="white",style="solid",shape="box"];4400 -> 13038[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13038 -> 5271[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 4401[label="primCmpInt (Neg yuz1610) yuz151 == LT",fontsize=16,color="burlywood",shape="box"];13039[label="yuz1610/Succ yuz16100",fontsize=10,color="white",style="solid",shape="box"];4401 -> 13039[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13039 -> 5272[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13040[label="yuz1610/Zero",fontsize=10,color="white",style="solid",shape="box"];4401 -> 13040[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13040 -> 5273[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 9570 -> 8159[label="",style="dashed", color="red", weight=0]; 24.93/11.42 9570[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_r yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594",fontsize=16,color="magenta"];9570 -> 10602[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9571[label="FiniteMap.mkVBalBranch3Size_l yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594",fontsize=16,color="black",shape="triangle"];9571 -> 10603[label="",style="solid", color="black", weight=3]; 24.93/11.42 9572[label="FiniteMap.mkVBalBranch3MkVBalBranch1 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz161 yuz162 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 False",fontsize=16,color="black",shape="box"];9572 -> 10604[label="",style="solid", color="black", weight=3]; 24.93/11.42 9573[label="FiniteMap.mkVBalBranch3MkVBalBranch1 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz161 yuz162 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 True",fontsize=16,color="black",shape="box"];9573 -> 10605[label="",style="solid", color="black", weight=3]; 24.93/11.42 12080[label="FiniteMap.mkVBalBranch yuz161 yuz162 (FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];12080 -> 12104[label="",style="solid", color="black", weight=3]; 24.93/11.42 12081[label="FiniteMap.mkVBalBranch yuz161 yuz162 (FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554) (FiniteMap.Branch yuz15930 yuz15931 yuz15932 yuz15933 yuz15934)",fontsize=16,color="black",shape="box"];12081 -> 12105[label="",style="solid", color="black", weight=3]; 24.93/11.42 12082[label="FiniteMap.mkBalBranch6 yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="black",shape="box"];12082 -> 12106[label="",style="solid", color="black", weight=3]; 24.93/11.42 10644 -> 9550[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10644[label="FiniteMap.sizeFM (FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94)",fontsize=16,color="magenta"];10644 -> 10649[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10645[label="FiniteMap.Branch yuz80 yuz81 yuz82 yuz83 yuz84",fontsize=16,color="green",shape="box"];9550[label="FiniteMap.sizeFM yuz322",fontsize=16,color="burlywood",shape="triangle"];13041[label="yuz322/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];9550 -> 13041[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13041 -> 10609[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13042[label="yuz322/FiniteMap.Branch yuz3220 yuz3221 yuz3222 yuz3223 yuz3224",fontsize=10,color="white",style="solid",shape="box"];9550 -> 13042[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13042 -> 10610[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 10647 -> 4214[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10647[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_r yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 < FiniteMap.glueVBal3Size_l yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="magenta"];10647 -> 10650[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10647 -> 10651[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10646[label="FiniteMap.glueVBal3GlueVBal1 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz380",fontsize=16,color="burlywood",shape="triangle"];13043[label="yuz380/False",fontsize=10,color="white",style="solid",shape="box"];10646 -> 13043[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13043 -> 10652[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13044[label="yuz380/True",fontsize=10,color="white",style="solid",shape="box"];10646 -> 13044[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13044 -> 10653[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 12054[label="FiniteMap.glueVBal (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) yuz2353",fontsize=16,color="burlywood",shape="box"];13045[label="yuz2353/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12054 -> 13045[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13045 -> 12083[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13046[label="yuz2353/FiniteMap.Branch yuz23530 yuz23531 yuz23532 yuz23533 yuz23534",fontsize=10,color="white",style="solid",shape="box"];12054 -> 13046[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13046 -> 12084[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 11361[label="compare3 yuz40 yuz60 == LT",fontsize=16,color="black",shape="box"];11361 -> 11397[label="",style="solid", color="black", weight=3]; 24.93/11.42 11362 -> 11398[label="",style="dashed", color="red", weight=0]; 24.93/11.42 11362[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 yuz411 yuz412 yuz413 yuz414 yuz415 yuz416 yuz417 (yuz416 > yuz411)",fontsize=16,color="magenta"];11362 -> 11399[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11362 -> 11400[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11362 -> 11401[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11362 -> 11402[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11362 -> 11403[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11362 -> 11404[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11362 -> 11405[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11362 -> 11406[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11363 -> 12049[label="",style="dashed", color="red", weight=0]; 24.93/11.42 11363[label="FiniteMap.mkBalBranch yuz411 yuz412 (FiniteMap.addToFM_C FiniteMap.addToFM0 yuz414 yuz416 yuz417) yuz415",fontsize=16,color="magenta"];11363 -> 12055[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11363 -> 12056[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11363 -> 12057[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 11363 -> 12058[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 9514[label="primMulInt (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) (Pos yuz3680)",fontsize=16,color="black",shape="box"];9514 -> 9529[label="",style="solid", color="black", weight=3]; 24.93/11.42 9515[label="primMulInt (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) (Neg yuz3680)",fontsize=16,color="black",shape="box"];9515 -> 9530[label="",style="solid", color="black", weight=3]; 24.93/11.42 5270[label="primCmpInt (Pos (Succ yuz16100)) yuz151 == LT",fontsize=16,color="burlywood",shape="box"];13047[label="yuz151/Pos yuz1510",fontsize=10,color="white",style="solid",shape="box"];5270 -> 13047[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13047 -> 5322[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13048[label="yuz151/Neg yuz1510",fontsize=10,color="white",style="solid",shape="box"];5270 -> 13048[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13048 -> 5323[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 5271[label="primCmpInt (Pos Zero) yuz151 == LT",fontsize=16,color="burlywood",shape="box"];13049[label="yuz151/Pos yuz1510",fontsize=10,color="white",style="solid",shape="box"];5271 -> 13049[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13049 -> 5324[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13050[label="yuz151/Neg yuz1510",fontsize=10,color="white",style="solid",shape="box"];5271 -> 13050[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13050 -> 5325[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 5272[label="primCmpInt (Neg (Succ yuz16100)) yuz151 == LT",fontsize=16,color="burlywood",shape="box"];13051[label="yuz151/Pos yuz1510",fontsize=10,color="white",style="solid",shape="box"];5272 -> 13051[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13051 -> 5326[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13052[label="yuz151/Neg yuz1510",fontsize=10,color="white",style="solid",shape="box"];5272 -> 13052[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13052 -> 5327[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 5273[label="primCmpInt (Neg Zero) yuz151 == LT",fontsize=16,color="burlywood",shape="box"];13053[label="yuz151/Pos yuz1510",fontsize=10,color="white",style="solid",shape="box"];5273 -> 13053[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13053 -> 5328[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13054[label="yuz151/Neg yuz1510",fontsize=10,color="white",style="solid",shape="box"];5273 -> 13054[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13054 -> 5329[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 10602[label="FiniteMap.mkVBalBranch3Size_r yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594",fontsize=16,color="black",shape="triangle"];10602 -> 10630[label="",style="solid", color="black", weight=3]; 24.93/11.42 10603 -> 9550[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10603[label="FiniteMap.sizeFM (FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554)",fontsize=16,color="magenta"];10603 -> 10631[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10604[label="FiniteMap.mkVBalBranch3MkVBalBranch0 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz161 yuz162 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 otherwise",fontsize=16,color="black",shape="box"];10604 -> 10632[label="",style="solid", color="black", weight=3]; 24.93/11.42 10605 -> 12049[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10605[label="FiniteMap.mkBalBranch yuz1550 yuz1551 yuz1553 (FiniteMap.mkVBalBranch yuz161 yuz162 yuz1554 (FiniteMap.Branch yuz1590 yuz1591 yuz1592 yuz1593 yuz1594))",fontsize=16,color="magenta"];10605 -> 12059[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10605 -> 12060[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10605 -> 12061[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10605 -> 12062[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12104[label="FiniteMap.mkVBalBranch4 yuz161 yuz162 (FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];12104 -> 12123[label="",style="solid", color="black", weight=3]; 24.93/11.42 12105[label="FiniteMap.mkVBalBranch3 yuz161 yuz162 (FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554) (FiniteMap.Branch yuz15930 yuz15931 yuz15932 yuz15933 yuz15934)",fontsize=16,color="black",shape="triangle"];12105 -> 12124[label="",style="solid", color="black", weight=3]; 24.93/11.42 12106 -> 12125[label="",style="dashed", color="red", weight=0]; 24.93/11.42 12106[label="FiniteMap.mkBalBranch6MkBalBranch5 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 (FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354 + FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354 < Pos (Succ (Succ Zero)))",fontsize=16,color="magenta"];12106 -> 12126[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10649[label="FiniteMap.Branch yuz90 yuz91 yuz92 yuz93 yuz94",fontsize=16,color="green",shape="box"];10609[label="FiniteMap.sizeFM FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];10609 -> 10636[label="",style="solid", color="black", weight=3]; 24.93/11.42 10610[label="FiniteMap.sizeFM (FiniteMap.Branch yuz3220 yuz3221 yuz3222 yuz3223 yuz3224)",fontsize=16,color="black",shape="box"];10610 -> 10637[label="",style="solid", color="black", weight=3]; 24.93/11.42 10650 -> 8159[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10650[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_r yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="magenta"];10650 -> 10696[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10651[label="FiniteMap.glueVBal3Size_l yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="black",shape="triangle"];10651 -> 10697[label="",style="solid", color="black", weight=3]; 24.93/11.42 10652[label="FiniteMap.glueVBal3GlueVBal1 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 False",fontsize=16,color="black",shape="box"];10652 -> 10698[label="",style="solid", color="black", weight=3]; 24.93/11.42 10653[label="FiniteMap.glueVBal3GlueVBal1 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 True",fontsize=16,color="black",shape="box"];10653 -> 10699[label="",style="solid", color="black", weight=3]; 24.93/11.42 12083[label="FiniteMap.glueVBal (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];12083 -> 12107[label="",style="solid", color="black", weight=3]; 24.93/11.42 12084[label="FiniteMap.glueVBal (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz23530 yuz23531 yuz23532 yuz23533 yuz23534)",fontsize=16,color="black",shape="box"];12084 -> 12108[label="",style="solid", color="black", weight=3]; 24.93/11.42 11397[label="compare2 yuz40 yuz60 (yuz40 == yuz60) == LT",fontsize=16,color="burlywood",shape="box"];13055[label="yuz40/LT",fontsize=10,color="white",style="solid",shape="box"];11397 -> 13055[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13055 -> 11408[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13056[label="yuz40/EQ",fontsize=10,color="white",style="solid",shape="box"];11397 -> 13056[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13056 -> 11409[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13057[label="yuz40/GT",fontsize=10,color="white",style="solid",shape="box"];11397 -> 13057[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13057 -> 11410[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 11399[label="yuz412",fontsize=16,color="green",shape="box"];11400[label="yuz411",fontsize=16,color="green",shape="box"];11401[label="yuz413",fontsize=16,color="green",shape="box"];11402[label="yuz414",fontsize=16,color="green",shape="box"];11403[label="yuz415",fontsize=16,color="green",shape="box"];11404[label="yuz417",fontsize=16,color="green",shape="box"];11405[label="yuz416 > yuz411",fontsize=16,color="blue",shape="box"];13058[label="> :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13058[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13058 -> 11411[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13059[label="> :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13059[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13059 -> 11412[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13060[label="> :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13060[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13060 -> 11413[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13061[label="> :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13061[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13061 -> 11414[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13062[label="> :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13062[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13062 -> 11415[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13063[label="> :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13063[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13063 -> 11416[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13064[label="> :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13064[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13064 -> 11417[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13065[label="> :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13065[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13065 -> 11418[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13066[label="> :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13066[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13066 -> 11419[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13067[label="> :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13067[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13067 -> 11420[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13068[label="> :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13068[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13068 -> 11421[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13069[label="> :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13069[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13069 -> 11422[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13070[label="> :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13070[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13070 -> 11423[label="",style="solid", color="blue", weight=3]; 24.93/11.42 13071[label="> :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];11405 -> 13071[label="",style="solid", color="blue", weight=9]; 24.93/11.42 13071 -> 11424[label="",style="solid", color="blue", weight=3]; 24.93/11.42 11406[label="yuz416",fontsize=16,color="green",shape="box"];11398[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 yuz432 yuz433 yuz434 yuz435 yuz436 yuz437 yuz438 yuz439",fontsize=16,color="burlywood",shape="triangle"];13072[label="yuz439/False",fontsize=10,color="white",style="solid",shape="box"];11398 -> 13072[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13072 -> 11425[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13073[label="yuz439/True",fontsize=10,color="white",style="solid",shape="box"];11398 -> 13073[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13073 -> 11426[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 12055[label="yuz412",fontsize=16,color="green",shape="box"];12056[label="yuz411",fontsize=16,color="green",shape="box"];12057[label="FiniteMap.addToFM_C FiniteMap.addToFM0 yuz414 yuz416 yuz417",fontsize=16,color="burlywood",shape="triangle"];13074[label="yuz414/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12057 -> 13074[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13074 -> 12085[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13075[label="yuz414/FiniteMap.Branch yuz4140 yuz4141 yuz4142 yuz4143 yuz4144",fontsize=10,color="white",style="solid",shape="box"];12057 -> 13075[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13075 -> 12086[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 12058[label="yuz415",fontsize=16,color="green",shape="box"];9529[label="Pos (primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) yuz3680)",fontsize=16,color="green",shape="box"];9529 -> 9574[label="",style="dashed", color="green", weight=3]; 24.93/11.42 9530[label="Neg (primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) yuz3680)",fontsize=16,color="green",shape="box"];9530 -> 9575[label="",style="dashed", color="green", weight=3]; 24.93/11.42 5322[label="primCmpInt (Pos (Succ yuz16100)) (Pos yuz1510) == LT",fontsize=16,color="black",shape="box"];5322 -> 5342[label="",style="solid", color="black", weight=3]; 24.93/11.42 5323[label="primCmpInt (Pos (Succ yuz16100)) (Neg yuz1510) == LT",fontsize=16,color="black",shape="box"];5323 -> 5343[label="",style="solid", color="black", weight=3]; 24.93/11.42 5324[label="primCmpInt (Pos Zero) (Pos yuz1510) == LT",fontsize=16,color="burlywood",shape="box"];13076[label="yuz1510/Succ yuz15100",fontsize=10,color="white",style="solid",shape="box"];5324 -> 13076[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13076 -> 5344[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13077[label="yuz1510/Zero",fontsize=10,color="white",style="solid",shape="box"];5324 -> 13077[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13077 -> 5345[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 5325[label="primCmpInt (Pos Zero) (Neg yuz1510) == LT",fontsize=16,color="burlywood",shape="box"];13078[label="yuz1510/Succ yuz15100",fontsize=10,color="white",style="solid",shape="box"];5325 -> 13078[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13078 -> 5346[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13079[label="yuz1510/Zero",fontsize=10,color="white",style="solid",shape="box"];5325 -> 13079[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13079 -> 5347[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 5326[label="primCmpInt (Neg (Succ yuz16100)) (Pos yuz1510) == LT",fontsize=16,color="black",shape="box"];5326 -> 5348[label="",style="solid", color="black", weight=3]; 24.93/11.42 5327[label="primCmpInt (Neg (Succ yuz16100)) (Neg yuz1510) == LT",fontsize=16,color="black",shape="box"];5327 -> 5349[label="",style="solid", color="black", weight=3]; 24.93/11.42 5328[label="primCmpInt (Neg Zero) (Pos yuz1510) == LT",fontsize=16,color="burlywood",shape="box"];13080[label="yuz1510/Succ yuz15100",fontsize=10,color="white",style="solid",shape="box"];5328 -> 13080[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13080 -> 5350[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13081[label="yuz1510/Zero",fontsize=10,color="white",style="solid",shape="box"];5328 -> 13081[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13081 -> 5351[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 5329[label="primCmpInt (Neg Zero) (Neg yuz1510) == LT",fontsize=16,color="burlywood",shape="box"];13082[label="yuz1510/Succ yuz15100",fontsize=10,color="white",style="solid",shape="box"];5329 -> 13082[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13082 -> 5352[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13083[label="yuz1510/Zero",fontsize=10,color="white",style="solid",shape="box"];5329 -> 13083[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13083 -> 5353[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 10630 -> 9550[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10630[label="FiniteMap.sizeFM (FiniteMap.Branch yuz1590 yuz1591 yuz1592 yuz1593 yuz1594)",fontsize=16,color="magenta"];10630 -> 10658[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10631[label="FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554",fontsize=16,color="green",shape="box"];10632[label="FiniteMap.mkVBalBranch3MkVBalBranch0 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 yuz161 yuz162 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz1590 yuz1591 yuz1592 yuz1593 yuz1594 True",fontsize=16,color="black",shape="box"];10632 -> 10659[label="",style="solid", color="black", weight=3]; 24.93/11.42 12059[label="yuz1551",fontsize=16,color="green",shape="box"];12060[label="yuz1550",fontsize=16,color="green",shape="box"];12061[label="yuz1553",fontsize=16,color="green",shape="box"];12062[label="FiniteMap.mkVBalBranch yuz161 yuz162 yuz1554 (FiniteMap.Branch yuz1590 yuz1591 yuz1592 yuz1593 yuz1594)",fontsize=16,color="burlywood",shape="box"];13084[label="yuz1554/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12062 -> 13084[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13084 -> 12087[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13085[label="yuz1554/FiniteMap.Branch yuz15540 yuz15541 yuz15542 yuz15543 yuz15544",fontsize=10,color="white",style="solid",shape="box"];12062 -> 13085[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13085 -> 12088[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 12123[label="FiniteMap.addToFM (FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554) yuz161 yuz162",fontsize=16,color="black",shape="triangle"];12123 -> 12127[label="",style="solid", color="black", weight=3]; 24.93/11.42 12124 -> 8191[label="",style="dashed", color="red", weight=0]; 24.93/11.42 12124[label="FiniteMap.mkVBalBranch3MkVBalBranch2 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz15930 yuz15931 yuz15932 yuz15933 yuz15934 yuz161 yuz162 yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz15930 yuz15931 yuz15932 yuz15933 yuz15934 (FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz15930 yuz15931 yuz15932 yuz15933 yuz15934 < FiniteMap.mkVBalBranch3Size_r yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz15930 yuz15931 yuz15932 yuz15933 yuz15934)",fontsize=16,color="magenta"];12124 -> 12128[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12124 -> 12129[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12124 -> 12130[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12124 -> 12131[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12124 -> 12132[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12124 -> 12133[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12126 -> 4214[label="",style="dashed", color="red", weight=0]; 24.93/11.42 12126[label="FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354 + FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354 < Pos (Succ (Succ Zero))",fontsize=16,color="magenta"];12126 -> 12134[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12126 -> 12135[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12125[label="FiniteMap.mkBalBranch6MkBalBranch5 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 yuz455",fontsize=16,color="burlywood",shape="triangle"];13086[label="yuz455/False",fontsize=10,color="white",style="solid",shape="box"];12125 -> 13086[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13086 -> 12136[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13087[label="yuz455/True",fontsize=10,color="white",style="solid",shape="box"];12125 -> 13087[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13087 -> 12137[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 10636[label="Pos Zero",fontsize=16,color="green",shape="box"];10637[label="yuz3222",fontsize=16,color="green",shape="box"];10696[label="FiniteMap.glueVBal3Size_r yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="black",shape="triangle"];10696 -> 10727[label="",style="solid", color="black", weight=3]; 24.93/11.42 10697 -> 9550[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10697[label="FiniteMap.sizeFM (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)",fontsize=16,color="magenta"];10697 -> 10728[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10698[label="FiniteMap.glueVBal3GlueVBal0 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 otherwise",fontsize=16,color="black",shape="box"];10698 -> 10729[label="",style="solid", color="black", weight=3]; 24.93/11.42 10699 -> 12049[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10699[label="FiniteMap.mkBalBranch yuz2410 yuz2411 yuz2413 (FiniteMap.glueVBal yuz2414 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354))",fontsize=16,color="magenta"];10699 -> 12063[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10699 -> 12064[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10699 -> 12065[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10699 -> 12066[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12107[label="FiniteMap.glueVBal4 (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];12107 -> 12138[label="",style="solid", color="black", weight=3]; 24.93/11.42 12108[label="FiniteMap.glueVBal3 (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz23530 yuz23531 yuz23532 yuz23533 yuz23534)",fontsize=16,color="black",shape="triangle"];12108 -> 12139[label="",style="solid", color="black", weight=3]; 24.93/11.42 11408[label="compare2 LT yuz60 (LT == yuz60) == LT",fontsize=16,color="burlywood",shape="box"];13088[label="yuz60/LT",fontsize=10,color="white",style="solid",shape="box"];11408 -> 13088[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13088 -> 11454[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13089[label="yuz60/EQ",fontsize=10,color="white",style="solid",shape="box"];11408 -> 13089[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13089 -> 11455[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13090[label="yuz60/GT",fontsize=10,color="white",style="solid",shape="box"];11408 -> 13090[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13090 -> 11456[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 11409[label="compare2 EQ yuz60 (EQ == yuz60) == LT",fontsize=16,color="burlywood",shape="box"];13091[label="yuz60/LT",fontsize=10,color="white",style="solid",shape="box"];11409 -> 13091[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13091 -> 11457[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13092[label="yuz60/EQ",fontsize=10,color="white",style="solid",shape="box"];11409 -> 13092[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13092 -> 11458[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13093[label="yuz60/GT",fontsize=10,color="white",style="solid",shape="box"];11409 -> 13093[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13093 -> 11459[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 11410[label="compare2 GT yuz60 (GT == yuz60) == LT",fontsize=16,color="burlywood",shape="box"];13094[label="yuz60/LT",fontsize=10,color="white",style="solid",shape="box"];11410 -> 13094[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13094 -> 11460[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13095[label="yuz60/EQ",fontsize=10,color="white",style="solid",shape="box"];11410 -> 13095[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13095 -> 11461[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13096[label="yuz60/GT",fontsize=10,color="white",style="solid",shape="box"];11410 -> 13096[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13096 -> 11462[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 11411[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11411 -> 11463[label="",style="solid", color="black", weight=3]; 24.93/11.42 11412[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11412 -> 11464[label="",style="solid", color="black", weight=3]; 24.93/11.42 11413[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11413 -> 11465[label="",style="solid", color="black", weight=3]; 24.93/11.42 11414[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11414 -> 11466[label="",style="solid", color="black", weight=3]; 24.93/11.42 11415[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11415 -> 11467[label="",style="solid", color="black", weight=3]; 24.93/11.42 11416[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11416 -> 11468[label="",style="solid", color="black", weight=3]; 24.93/11.42 11417[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11417 -> 11469[label="",style="solid", color="black", weight=3]; 24.93/11.42 11418[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11418 -> 11470[label="",style="solid", color="black", weight=3]; 24.93/11.42 11419[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11419 -> 11471[label="",style="solid", color="black", weight=3]; 24.93/11.42 11420[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11420 -> 11472[label="",style="solid", color="black", weight=3]; 24.93/11.42 11421[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11421 -> 11473[label="",style="solid", color="black", weight=3]; 24.93/11.42 11422[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11422 -> 11474[label="",style="solid", color="black", weight=3]; 24.93/11.42 11423[label="yuz416 > yuz411",fontsize=16,color="black",shape="box"];11423 -> 11475[label="",style="solid", color="black", weight=3]; 24.93/11.42 11424[label="yuz416 > yuz411",fontsize=16,color="black",shape="triangle"];11424 -> 11476[label="",style="solid", color="black", weight=3]; 24.93/11.42 11425[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 yuz432 yuz433 yuz434 yuz435 yuz436 yuz437 yuz438 False",fontsize=16,color="black",shape="box"];11425 -> 11477[label="",style="solid", color="black", weight=3]; 24.93/11.42 11426[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 yuz432 yuz433 yuz434 yuz435 yuz436 yuz437 yuz438 True",fontsize=16,color="black",shape="box"];11426 -> 11478[label="",style="solid", color="black", weight=3]; 24.93/11.42 12085[label="FiniteMap.addToFM_C FiniteMap.addToFM0 FiniteMap.EmptyFM yuz416 yuz417",fontsize=16,color="black",shape="box"];12085 -> 12109[label="",style="solid", color="black", weight=3]; 24.93/11.42 12086[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch yuz4140 yuz4141 yuz4142 yuz4143 yuz4144) yuz416 yuz417",fontsize=16,color="black",shape="box"];12086 -> 12110[label="",style="solid", color="black", weight=3]; 24.93/11.42 9574[label="primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) yuz3680",fontsize=16,color="burlywood",shape="triangle"];13097[label="yuz3680/Succ yuz36800",fontsize=10,color="white",style="solid",shape="box"];9574 -> 13097[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13097 -> 10606[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13098[label="yuz3680/Zero",fontsize=10,color="white",style="solid",shape="box"];9574 -> 13098[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13098 -> 10607[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 9575 -> 9574[label="",style="dashed", color="red", weight=0]; 24.93/11.42 9575[label="primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) yuz3680",fontsize=16,color="magenta"];9575 -> 10608[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 5342[label="primCmpNat (Succ yuz16100) yuz1510 == LT",fontsize=16,color="burlywood",shape="triangle"];13099[label="yuz1510/Succ yuz15100",fontsize=10,color="white",style="solid",shape="box"];5342 -> 13099[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13099 -> 5383[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13100[label="yuz1510/Zero",fontsize=10,color="white",style="solid",shape="box"];5342 -> 13100[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13100 -> 5384[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 5343[label="GT == LT",fontsize=16,color="black",shape="triangle"];5343 -> 5385[label="",style="solid", color="black", weight=3]; 24.93/11.42 5344[label="primCmpInt (Pos Zero) (Pos (Succ yuz15100)) == LT",fontsize=16,color="black",shape="box"];5344 -> 5386[label="",style="solid", color="black", weight=3]; 24.93/11.42 5345[label="primCmpInt (Pos Zero) (Pos Zero) == LT",fontsize=16,color="black",shape="box"];5345 -> 5387[label="",style="solid", color="black", weight=3]; 24.93/11.42 5346[label="primCmpInt (Pos Zero) (Neg (Succ yuz15100)) == LT",fontsize=16,color="black",shape="box"];5346 -> 5388[label="",style="solid", color="black", weight=3]; 24.93/11.42 5347[label="primCmpInt (Pos Zero) (Neg Zero) == LT",fontsize=16,color="black",shape="box"];5347 -> 5389[label="",style="solid", color="black", weight=3]; 24.93/11.42 5348[label="LT == LT",fontsize=16,color="black",shape="triangle"];5348 -> 5390[label="",style="solid", color="black", weight=3]; 24.93/11.42 5349[label="primCmpNat yuz1510 (Succ yuz16100) == LT",fontsize=16,color="burlywood",shape="triangle"];13101[label="yuz1510/Succ yuz15100",fontsize=10,color="white",style="solid",shape="box"];5349 -> 13101[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13101 -> 5391[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 13102[label="yuz1510/Zero",fontsize=10,color="white",style="solid",shape="box"];5349 -> 13102[label="",style="solid", color="burlywood", weight=9]; 24.93/11.42 13102 -> 5392[label="",style="solid", color="burlywood", weight=3]; 24.93/11.42 5350[label="primCmpInt (Neg Zero) (Pos (Succ yuz15100)) == LT",fontsize=16,color="black",shape="box"];5350 -> 5393[label="",style="solid", color="black", weight=3]; 24.93/11.42 5351[label="primCmpInt (Neg Zero) (Pos Zero) == LT",fontsize=16,color="black",shape="box"];5351 -> 5394[label="",style="solid", color="black", weight=3]; 24.93/11.42 5352[label="primCmpInt (Neg Zero) (Neg (Succ yuz15100)) == LT",fontsize=16,color="black",shape="box"];5352 -> 5395[label="",style="solid", color="black", weight=3]; 24.93/11.42 5353[label="primCmpInt (Neg Zero) (Neg Zero) == LT",fontsize=16,color="black",shape="box"];5353 -> 5396[label="",style="solid", color="black", weight=3]; 24.93/11.42 10658[label="FiniteMap.Branch yuz1590 yuz1591 yuz1592 yuz1593 yuz1594",fontsize=16,color="green",shape="box"];10659 -> 10707[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10659[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))))) yuz161 yuz162 (FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554) (FiniteMap.Branch yuz1590 yuz1591 yuz1592 yuz1593 yuz1594)",fontsize=16,color="magenta"];10659 -> 10708[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10709[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10710[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10711[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10712[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10713[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10714[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10715[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10716[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10717[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10718[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10719[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10659 -> 10720[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12087[label="FiniteMap.mkVBalBranch yuz161 yuz162 FiniteMap.EmptyFM (FiniteMap.Branch yuz1590 yuz1591 yuz1592 yuz1593 yuz1594)",fontsize=16,color="black",shape="box"];12087 -> 12111[label="",style="solid", color="black", weight=3]; 24.93/11.42 12088[label="FiniteMap.mkVBalBranch yuz161 yuz162 (FiniteMap.Branch yuz15540 yuz15541 yuz15542 yuz15543 yuz15544) (FiniteMap.Branch yuz1590 yuz1591 yuz1592 yuz1593 yuz1594)",fontsize=16,color="black",shape="box"];12088 -> 12112[label="",style="solid", color="black", weight=3]; 24.93/11.42 12127 -> 12057[label="",style="dashed", color="red", weight=0]; 24.93/11.42 12127[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554) yuz161 yuz162",fontsize=16,color="magenta"];12127 -> 12177[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12127 -> 12178[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12127 -> 12179[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12128[label="yuz15934",fontsize=16,color="green",shape="box"];12129[label="yuz15930",fontsize=16,color="green",shape="box"];12130[label="yuz15933",fontsize=16,color="green",shape="box"];12131[label="yuz15931",fontsize=16,color="green",shape="box"];12132 -> 4214[label="",style="dashed", color="red", weight=0]; 24.93/11.42 12132[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz15930 yuz15931 yuz15932 yuz15933 yuz15934 < FiniteMap.mkVBalBranch3Size_r yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz15930 yuz15931 yuz15932 yuz15933 yuz15934",fontsize=16,color="magenta"];12132 -> 12180[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12132 -> 12181[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 12133[label="yuz15932",fontsize=16,color="green",shape="box"];12134[label="FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354 + FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="black",shape="box"];12134 -> 12182[label="",style="solid", color="black", weight=3]; 24.93/11.42 12135[label="Pos (Succ (Succ Zero))",fontsize=16,color="green",shape="box"];12136[label="FiniteMap.mkBalBranch6MkBalBranch5 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 False",fontsize=16,color="black",shape="box"];12136 -> 12183[label="",style="solid", color="black", weight=3]; 24.93/11.42 12137[label="FiniteMap.mkBalBranch6MkBalBranch5 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 True",fontsize=16,color="black",shape="box"];12137 -> 12184[label="",style="solid", color="black", weight=3]; 24.93/11.42 10727 -> 9550[label="",style="dashed", color="red", weight=0]; 24.93/11.42 10727[label="FiniteMap.sizeFM (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="magenta"];10727 -> 10761[label="",style="dashed", color="magenta", weight=3]; 24.93/11.42 10728[label="FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="green",shape="box"];10729[label="FiniteMap.glueVBal3GlueVBal0 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2350 yuz2351 yuz2352 yuz2353 yuz2354 True",fontsize=16,color="black",shape="box"];10729 -> 10762[label="",style="solid", color="black", weight=3]; 24.93/11.42 12063[label="yuz2411",fontsize=16,color="green",shape="box"];12064[label="yuz2410",fontsize=16,color="green",shape="box"];12065[label="yuz2413",fontsize=16,color="green",shape="box"];12066[label="FiniteMap.glueVBal yuz2414 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="burlywood",shape="box"];13103[label="yuz2414/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12066 -> 13103[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13103 -> 12089[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13104[label="yuz2414/FiniteMap.Branch yuz24140 yuz24141 yuz24142 yuz24143 yuz24144",fontsize=10,color="white",style="solid",shape="box"];12066 -> 13104[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13104 -> 12090[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 12138[label="FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="green",shape="box"];12139 -> 9577[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12139[label="FiniteMap.glueVBal3GlueVBal2 yuz23530 yuz23531 yuz23532 yuz23533 yuz23534 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 yuz23530 yuz23531 yuz23532 yuz23533 yuz23534 (FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz23530 yuz23531 yuz23532 yuz23533 yuz23534 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 < FiniteMap.glueVBal3Size_r yuz23530 yuz23531 yuz23532 yuz23533 yuz23534 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)",fontsize=16,color="magenta"];12139 -> 12185[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12139 -> 12186[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12139 -> 12187[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12139 -> 12188[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12139 -> 12189[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12139 -> 12190[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 11454[label="compare2 LT LT (LT == LT) == LT",fontsize=16,color="black",shape="box"];11454 -> 11507[label="",style="solid", color="black", weight=3]; 25.25/11.42 11455[label="compare2 LT EQ (LT == EQ) == LT",fontsize=16,color="black",shape="box"];11455 -> 11508[label="",style="solid", color="black", weight=3]; 25.25/11.42 11456[label="compare2 LT GT (LT == GT) == LT",fontsize=16,color="black",shape="box"];11456 -> 11509[label="",style="solid", color="black", weight=3]; 25.25/11.42 11457[label="compare2 EQ LT (EQ == LT) == LT",fontsize=16,color="black",shape="box"];11457 -> 11510[label="",style="solid", color="black", weight=3]; 25.25/11.42 11458[label="compare2 EQ EQ (EQ == EQ) == LT",fontsize=16,color="black",shape="box"];11458 -> 11511[label="",style="solid", color="black", weight=3]; 25.25/11.42 11459[label="compare2 EQ GT (EQ == GT) == LT",fontsize=16,color="black",shape="box"];11459 -> 11512[label="",style="solid", color="black", weight=3]; 25.25/11.42 11460[label="compare2 GT LT (GT == LT) == LT",fontsize=16,color="black",shape="box"];11460 -> 11513[label="",style="solid", color="black", weight=3]; 25.25/11.42 11461[label="compare2 GT EQ (GT == EQ) == LT",fontsize=16,color="black",shape="box"];11461 -> 11514[label="",style="solid", color="black", weight=3]; 25.25/11.42 11462[label="compare2 GT GT (GT == GT) == LT",fontsize=16,color="black",shape="box"];11462 -> 11515[label="",style="solid", color="black", weight=3]; 25.25/11.42 11463[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11463 -> 11516[label="",style="solid", color="black", weight=3]; 25.25/11.42 11464[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11464 -> 11517[label="",style="solid", color="black", weight=3]; 25.25/11.42 11465[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11465 -> 11518[label="",style="solid", color="black", weight=3]; 25.25/11.42 11466[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11466 -> 11519[label="",style="solid", color="black", weight=3]; 25.25/11.42 11467[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11467 -> 11520[label="",style="solid", color="black", weight=3]; 25.25/11.42 11468[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11468 -> 11521[label="",style="solid", color="black", weight=3]; 25.25/11.42 11469[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11469 -> 11522[label="",style="solid", color="black", weight=3]; 25.25/11.42 11470[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11470 -> 11523[label="",style="solid", color="black", weight=3]; 25.25/11.42 11471[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11471 -> 11524[label="",style="solid", color="black", weight=3]; 25.25/11.42 11472[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11472 -> 11525[label="",style="solid", color="black", weight=3]; 25.25/11.42 11473[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11473 -> 11526[label="",style="solid", color="black", weight=3]; 25.25/11.42 11474[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11474 -> 11527[label="",style="solid", color="black", weight=3]; 25.25/11.42 11475[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11475 -> 11528[label="",style="solid", color="black", weight=3]; 25.25/11.42 11476[label="compare yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11476 -> 11529[label="",style="solid", color="black", weight=3]; 25.25/11.42 11477[label="FiniteMap.addToFM_C0 FiniteMap.addToFM0 yuz432 yuz433 yuz434 yuz435 yuz436 yuz437 yuz438 otherwise",fontsize=16,color="black",shape="box"];11477 -> 11530[label="",style="solid", color="black", weight=3]; 25.25/11.42 11478 -> 12049[label="",style="dashed", color="red", weight=0]; 25.25/11.42 11478[label="FiniteMap.mkBalBranch yuz432 yuz433 yuz435 (FiniteMap.addToFM_C FiniteMap.addToFM0 yuz436 yuz437 yuz438)",fontsize=16,color="magenta"];11478 -> 12067[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 11478 -> 12068[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 11478 -> 12069[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 11478 -> 12070[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12109[label="FiniteMap.addToFM_C4 FiniteMap.addToFM0 FiniteMap.EmptyFM yuz416 yuz417",fontsize=16,color="black",shape="box"];12109 -> 12140[label="",style="solid", color="black", weight=3]; 25.25/11.42 12110[label="FiniteMap.addToFM_C3 FiniteMap.addToFM0 (FiniteMap.Branch yuz4140 yuz4141 yuz4142 yuz4143 yuz4144) yuz416 yuz417",fontsize=16,color="black",shape="box"];12110 -> 12141[label="",style="solid", color="black", weight=3]; 25.25/11.42 10606[label="primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) (Succ yuz36800)",fontsize=16,color="black",shape="box"];10606 -> 10634[label="",style="solid", color="black", weight=3]; 25.25/11.42 10607[label="primMulNat (Succ (Succ (Succ (Succ (Succ Zero))))) Zero",fontsize=16,color="black",shape="box"];10607 -> 10635[label="",style="solid", color="black", weight=3]; 25.25/11.42 10608[label="yuz3680",fontsize=16,color="green",shape="box"];5383[label="primCmpNat (Succ yuz16100) (Succ yuz15100) == LT",fontsize=16,color="black",shape="box"];5383 -> 6818[label="",style="solid", color="black", weight=3]; 25.25/11.42 5384[label="primCmpNat (Succ yuz16100) Zero == LT",fontsize=16,color="black",shape="box"];5384 -> 6819[label="",style="solid", color="black", weight=3]; 25.25/11.42 5385[label="False",fontsize=16,color="green",shape="box"];5386 -> 5349[label="",style="dashed", color="red", weight=0]; 25.25/11.42 5386[label="primCmpNat Zero (Succ yuz15100) == LT",fontsize=16,color="magenta"];5386 -> 6820[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 5386 -> 6821[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 5387[label="EQ == LT",fontsize=16,color="black",shape="triangle"];5387 -> 6822[label="",style="solid", color="black", weight=3]; 25.25/11.42 5388 -> 5343[label="",style="dashed", color="red", weight=0]; 25.25/11.42 5388[label="GT == LT",fontsize=16,color="magenta"];5389 -> 5387[label="",style="dashed", color="red", weight=0]; 25.25/11.42 5389[label="EQ == LT",fontsize=16,color="magenta"];5390[label="True",fontsize=16,color="green",shape="box"];5391[label="primCmpNat (Succ yuz15100) (Succ yuz16100) == LT",fontsize=16,color="black",shape="box"];5391 -> 6823[label="",style="solid", color="black", weight=3]; 25.25/11.42 5392[label="primCmpNat Zero (Succ yuz16100) == LT",fontsize=16,color="black",shape="box"];5392 -> 6824[label="",style="solid", color="black", weight=3]; 25.25/11.42 5393 -> 5348[label="",style="dashed", color="red", weight=0]; 25.25/11.42 5393[label="LT == LT",fontsize=16,color="magenta"];5394 -> 5387[label="",style="dashed", color="red", weight=0]; 25.25/11.42 5394[label="EQ == LT",fontsize=16,color="magenta"];5395 -> 5342[label="",style="dashed", color="red", weight=0]; 25.25/11.42 5395[label="primCmpNat (Succ yuz15100) Zero == LT",fontsize=16,color="magenta"];5395 -> 6825[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 5395 -> 6826[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 5396 -> 5387[label="",style="dashed", color="red", weight=0]; 25.25/11.42 5396[label="EQ == LT",fontsize=16,color="magenta"];10708[label="yuz1593",fontsize=16,color="green",shape="box"];10709[label="yuz1592",fontsize=16,color="green",shape="box"];10710[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))",fontsize=16,color="green",shape="box"];10711[label="yuz1553",fontsize=16,color="green",shape="box"];10712[label="yuz1590",fontsize=16,color="green",shape="box"];10713[label="yuz1554",fontsize=16,color="green",shape="box"];10714[label="yuz1591",fontsize=16,color="green",shape="box"];10715[label="yuz162",fontsize=16,color="green",shape="box"];10716[label="yuz1550",fontsize=16,color="green",shape="box"];10717[label="yuz1552",fontsize=16,color="green",shape="box"];10718[label="yuz1551",fontsize=16,color="green",shape="box"];10719[label="yuz161",fontsize=16,color="green",shape="box"];10720[label="yuz1594",fontsize=16,color="green",shape="box"];10707[label="FiniteMap.mkBranch (Pos (Succ yuz383)) yuz384 yuz385 (FiniteMap.Branch yuz386 yuz387 yuz388 yuz389 yuz390) (FiniteMap.Branch yuz391 yuz392 yuz393 yuz394 yuz395)",fontsize=16,color="black",shape="triangle"];10707 -> 10739[label="",style="solid", color="black", weight=3]; 25.25/11.42 12111[label="FiniteMap.mkVBalBranch5 yuz161 yuz162 FiniteMap.EmptyFM (FiniteMap.Branch yuz1590 yuz1591 yuz1592 yuz1593 yuz1594)",fontsize=16,color="black",shape="box"];12111 -> 12142[label="",style="solid", color="black", weight=3]; 25.25/11.42 12112 -> 12105[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12112[label="FiniteMap.mkVBalBranch3 yuz161 yuz162 (FiniteMap.Branch yuz15540 yuz15541 yuz15542 yuz15543 yuz15544) (FiniteMap.Branch yuz1590 yuz1591 yuz1592 yuz1593 yuz1594)",fontsize=16,color="magenta"];12112 -> 12143[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12112 -> 12144[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12112 -> 12145[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12112 -> 12146[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12112 -> 12147[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12112 -> 12148[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12112 -> 12149[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12112 -> 12150[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12112 -> 12151[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12112 -> 12152[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12177[label="FiniteMap.Branch yuz1550 yuz1551 yuz1552 yuz1553 yuz1554",fontsize=16,color="green",shape="box"];12178[label="yuz161",fontsize=16,color="green",shape="box"];12179[label="yuz162",fontsize=16,color="green",shape="box"];12180 -> 8159[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12180[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz15930 yuz15931 yuz15932 yuz15933 yuz15934",fontsize=16,color="magenta"];12180 -> 12221[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12181 -> 10602[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12181[label="FiniteMap.mkVBalBranch3Size_r yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz15930 yuz15931 yuz15932 yuz15933 yuz15934",fontsize=16,color="magenta"];12181 -> 12222[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12181 -> 12223[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12181 -> 12224[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12181 -> 12225[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12181 -> 12226[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12182 -> 12238[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12182[label="primPlusInt (FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354) (FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354)",fontsize=16,color="magenta"];12182 -> 12239[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12183 -> 12228[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12183[label="FiniteMap.mkBalBranch6MkBalBranch4 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 (FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354)",fontsize=16,color="magenta"];12183 -> 12229[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12184[label="FiniteMap.mkBranch (Pos (Succ Zero)) yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="black",shape="box"];12184 -> 12230[label="",style="solid", color="black", weight=3]; 25.25/11.42 10761[label="FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354",fontsize=16,color="green",shape="box"];10762[label="FiniteMap.glueBal (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="black",shape="box"];10762 -> 10809[label="",style="solid", color="black", weight=3]; 25.25/11.42 12089[label="FiniteMap.glueVBal FiniteMap.EmptyFM (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="black",shape="box"];12089 -> 12113[label="",style="solid", color="black", weight=3]; 25.25/11.42 12090[label="FiniteMap.glueVBal (FiniteMap.Branch yuz24140 yuz24141 yuz24142 yuz24143 yuz24144) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="black",shape="box"];12090 -> 12114[label="",style="solid", color="black", weight=3]; 25.25/11.42 12185 -> 4214[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12185[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz23530 yuz23531 yuz23532 yuz23533 yuz23534 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414 < FiniteMap.glueVBal3Size_r yuz23530 yuz23531 yuz23532 yuz23533 yuz23534 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="magenta"];12185 -> 12231[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12185 -> 12232[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12186[label="yuz23532",fontsize=16,color="green",shape="box"];12187[label="yuz23531",fontsize=16,color="green",shape="box"];12188[label="yuz23533",fontsize=16,color="green",shape="box"];12189[label="yuz23530",fontsize=16,color="green",shape="box"];12190[label="yuz23534",fontsize=16,color="green",shape="box"];11507[label="compare2 LT LT True == LT",fontsize=16,color="black",shape="box"];11507 -> 11567[label="",style="solid", color="black", weight=3]; 25.25/11.42 11508[label="compare2 LT EQ False == LT",fontsize=16,color="black",shape="box"];11508 -> 11568[label="",style="solid", color="black", weight=3]; 25.25/11.42 11509[label="compare2 LT GT False == LT",fontsize=16,color="black",shape="box"];11509 -> 11569[label="",style="solid", color="black", weight=3]; 25.25/11.42 11510[label="compare2 EQ LT False == LT",fontsize=16,color="black",shape="box"];11510 -> 11570[label="",style="solid", color="black", weight=3]; 25.25/11.42 11511[label="compare2 EQ EQ True == LT",fontsize=16,color="black",shape="box"];11511 -> 11571[label="",style="solid", color="black", weight=3]; 25.25/11.42 11512[label="compare2 EQ GT False == LT",fontsize=16,color="black",shape="box"];11512 -> 11572[label="",style="solid", color="black", weight=3]; 25.25/11.42 11513[label="compare2 GT LT False == LT",fontsize=16,color="black",shape="box"];11513 -> 11573[label="",style="solid", color="black", weight=3]; 25.25/11.42 11514[label="compare2 GT EQ False == LT",fontsize=16,color="black",shape="box"];11514 -> 11574[label="",style="solid", color="black", weight=3]; 25.25/11.42 11515[label="compare2 GT GT True == LT",fontsize=16,color="black",shape="box"];11515 -> 11575[label="",style="solid", color="black", weight=3]; 25.25/11.42 11516[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11516 -> 11576[label="",style="solid", color="black", weight=3]; 25.25/11.42 11517[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11517 -> 11577[label="",style="solid", color="black", weight=3]; 25.25/11.42 11518[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11518 -> 11578[label="",style="solid", color="black", weight=3]; 25.25/11.42 11519[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11519 -> 11579[label="",style="solid", color="black", weight=3]; 25.25/11.42 11520[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11520 -> 11580[label="",style="solid", color="black", weight=3]; 25.25/11.42 11521[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11521 -> 11581[label="",style="solid", color="black", weight=3]; 25.25/11.42 11522[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11522 -> 11582[label="",style="solid", color="black", weight=3]; 25.25/11.42 11523[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11523 -> 11583[label="",style="solid", color="black", weight=3]; 25.25/11.42 11524[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11524 -> 11584[label="",style="solid", color="black", weight=3]; 25.25/11.42 11525[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11525 -> 11585[label="",style="solid", color="black", weight=3]; 25.25/11.42 11526[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11526 -> 11586[label="",style="solid", color="black", weight=3]; 25.25/11.42 11527[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11527 -> 11587[label="",style="solid", color="black", weight=3]; 25.25/11.42 11528[label="compare3 yuz416 yuz411 == GT",fontsize=16,color="black",shape="box"];11528 -> 11588[label="",style="solid", color="black", weight=3]; 25.25/11.42 11529[label="primCmpInt yuz416 yuz411 == GT",fontsize=16,color="burlywood",shape="box"];13105[label="yuz416/Pos yuz4160",fontsize=10,color="white",style="solid",shape="box"];11529 -> 13105[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13105 -> 11589[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13106[label="yuz416/Neg yuz4160",fontsize=10,color="white",style="solid",shape="box"];11529 -> 13106[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13106 -> 11590[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 11530[label="FiniteMap.addToFM_C0 FiniteMap.addToFM0 yuz432 yuz433 yuz434 yuz435 yuz436 yuz437 yuz438 True",fontsize=16,color="black",shape="box"];11530 -> 11591[label="",style="solid", color="black", weight=3]; 25.25/11.42 12067[label="yuz433",fontsize=16,color="green",shape="box"];12068[label="yuz432",fontsize=16,color="green",shape="box"];12069[label="yuz435",fontsize=16,color="green",shape="box"];12070 -> 12057[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12070[label="FiniteMap.addToFM_C FiniteMap.addToFM0 yuz436 yuz437 yuz438",fontsize=16,color="magenta"];12070 -> 12091[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12070 -> 12092[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12070 -> 12093[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12140[label="FiniteMap.unitFM yuz416 yuz417",fontsize=16,color="black",shape="box"];12140 -> 12191[label="",style="solid", color="black", weight=3]; 25.25/11.42 12141 -> 10902[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12141[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 yuz4140 yuz4141 yuz4142 yuz4143 yuz4144 yuz416 yuz417 (yuz416 < yuz4140)",fontsize=16,color="magenta"];12141 -> 12192[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12141 -> 12193[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12141 -> 12194[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12141 -> 12195[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12141 -> 12196[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12141 -> 12197[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 10634 -> 2742[label="",style="dashed", color="red", weight=0]; 25.25/11.42 10634[label="primPlusNat (primMulNat (Succ (Succ (Succ (Succ Zero)))) (Succ yuz36800)) (Succ yuz36800)",fontsize=16,color="magenta"];10634 -> 10661[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 10634 -> 10662[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 10635[label="Zero",fontsize=16,color="green",shape="box"];6818[label="primCmpNat yuz16100 yuz15100 == LT",fontsize=16,color="burlywood",shape="triangle"];13107[label="yuz16100/Succ yuz161000",fontsize=10,color="white",style="solid",shape="box"];6818 -> 13107[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13107 -> 6850[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13108[label="yuz16100/Zero",fontsize=10,color="white",style="solid",shape="box"];6818 -> 13108[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13108 -> 6851[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 6819 -> 5343[label="",style="dashed", color="red", weight=0]; 25.25/11.42 6819[label="GT == LT",fontsize=16,color="magenta"];6820[label="Zero",fontsize=16,color="green",shape="box"];6821[label="yuz15100",fontsize=16,color="green",shape="box"];6822[label="False",fontsize=16,color="green",shape="box"];6823 -> 6818[label="",style="dashed", color="red", weight=0]; 25.25/11.42 6823[label="primCmpNat yuz15100 yuz16100 == LT",fontsize=16,color="magenta"];6823 -> 6852[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 6823 -> 6853[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 6824 -> 5348[label="",style="dashed", color="red", weight=0]; 25.25/11.42 6824[label="LT == LT",fontsize=16,color="magenta"];6825[label="yuz15100",fontsize=16,color="green",shape="box"];6826[label="Zero",fontsize=16,color="green",shape="box"];10739 -> 6849[label="",style="dashed", color="red", weight=0]; 25.25/11.42 10739[label="FiniteMap.mkBranchResult yuz384 yuz385 (FiniteMap.Branch yuz391 yuz392 yuz393 yuz394 yuz395) (FiniteMap.Branch yuz386 yuz387 yuz388 yuz389 yuz390)",fontsize=16,color="magenta"];10739 -> 10775[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 10739 -> 10776[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 10739 -> 10777[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 10739 -> 10778[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12142 -> 12123[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12142[label="FiniteMap.addToFM (FiniteMap.Branch yuz1590 yuz1591 yuz1592 yuz1593 yuz1594) yuz161 yuz162",fontsize=16,color="magenta"];12142 -> 12198[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12142 -> 12199[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12142 -> 12200[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12142 -> 12201[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12142 -> 12202[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12143[label="yuz1591",fontsize=16,color="green",shape="box"];12144[label="yuz15542",fontsize=16,color="green",shape="box"];12145[label="yuz15543",fontsize=16,color="green",shape="box"];12146[label="yuz15540",fontsize=16,color="green",shape="box"];12147[label="yuz1590",fontsize=16,color="green",shape="box"];12148[label="yuz1592",fontsize=16,color="green",shape="box"];12149[label="yuz15541",fontsize=16,color="green",shape="box"];12150[label="yuz15544",fontsize=16,color="green",shape="box"];12151[label="yuz1593",fontsize=16,color="green",shape="box"];12152[label="yuz1594",fontsize=16,color="green",shape="box"];12221 -> 9571[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12221[label="FiniteMap.mkVBalBranch3Size_l yuz1550 yuz1551 yuz1552 yuz1553 yuz1554 yuz15930 yuz15931 yuz15932 yuz15933 yuz15934",fontsize=16,color="magenta"];12221 -> 12233[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12221 -> 12234[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12221 -> 12235[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12221 -> 12236[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12221 -> 12237[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12222[label="yuz15934",fontsize=16,color="green",shape="box"];12223[label="yuz15933",fontsize=16,color="green",shape="box"];12224[label="yuz15930",fontsize=16,color="green",shape="box"];12225[label="yuz15931",fontsize=16,color="green",shape="box"];12226[label="yuz15932",fontsize=16,color="green",shape="box"];12239[label="FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="black",shape="triangle"];12239 -> 12241[label="",style="solid", color="black", weight=3]; 25.25/11.42 12238[label="primPlusInt yuz458 (FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354)",fontsize=16,color="burlywood",shape="triangle"];13109[label="yuz458/Pos yuz4580",fontsize=10,color="white",style="solid",shape="box"];12238 -> 13109[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13109 -> 12242[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13110[label="yuz458/Neg yuz4580",fontsize=10,color="white",style="solid",shape="box"];12238 -> 13110[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13110 -> 12243[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 12229 -> 11424[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12229[label="FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="magenta"];12229 -> 12244[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12229 -> 12245[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12228[label="FiniteMap.mkBalBranch6MkBalBranch4 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 yuz456",fontsize=16,color="burlywood",shape="triangle"];13111[label="yuz456/False",fontsize=10,color="white",style="solid",shape="box"];12228 -> 13111[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13111 -> 12246[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13112[label="yuz456/True",fontsize=10,color="white",style="solid",shape="box"];12228 -> 13112[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13112 -> 12247[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 12230 -> 6849[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12230[label="FiniteMap.mkBranchResult yuz2350 yuz2351 yuz2354 yuz454",fontsize=16,color="magenta"];12230 -> 12248[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12230 -> 12249[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12230 -> 12250[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12230 -> 12251[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 10809[label="FiniteMap.glueBal2 (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="black",shape="box"];10809 -> 10845[label="",style="solid", color="black", weight=3]; 25.25/11.42 12113[label="FiniteMap.glueVBal5 FiniteMap.EmptyFM (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="black",shape="box"];12113 -> 12153[label="",style="solid", color="black", weight=3]; 25.25/11.42 12114 -> 12108[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12114[label="FiniteMap.glueVBal3 (FiniteMap.Branch yuz24140 yuz24141 yuz24142 yuz24143 yuz24144) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="magenta"];12114 -> 12154[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12114 -> 12155[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12114 -> 12156[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12114 -> 12157[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12114 -> 12158[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12114 -> 12159[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12114 -> 12160[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12114 -> 12161[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12114 -> 12162[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12114 -> 12163[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12231 -> 8159[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12231[label="FiniteMap.sIZE_RATIO * FiniteMap.glueVBal3Size_l yuz23530 yuz23531 yuz23532 yuz23533 yuz23534 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="magenta"];12231 -> 12252[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12232 -> 10696[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12232[label="FiniteMap.glueVBal3Size_r yuz23530 yuz23531 yuz23532 yuz23533 yuz23534 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="magenta"];12232 -> 12253[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12232 -> 12254[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12232 -> 12255[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12232 -> 12256[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12232 -> 12257[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 11567 -> 5387[label="",style="dashed", color="red", weight=0]; 25.25/11.42 11567[label="EQ == LT",fontsize=16,color="magenta"];11568[label="compare1 LT EQ (LT <= EQ) == LT",fontsize=16,color="black",shape="box"];11568 -> 11625[label="",style="solid", color="black", weight=3]; 25.25/11.42 11569[label="compare1 LT GT (LT <= GT) == LT",fontsize=16,color="black",shape="box"];11569 -> 11626[label="",style="solid", color="black", weight=3]; 25.25/11.42 11570[label="compare1 EQ LT (EQ <= LT) == LT",fontsize=16,color="black",shape="box"];11570 -> 11627[label="",style="solid", color="black", weight=3]; 25.25/11.42 11571 -> 5387[label="",style="dashed", color="red", weight=0]; 25.25/11.42 11571[label="EQ == LT",fontsize=16,color="magenta"];11572[label="compare1 EQ GT (EQ <= GT) == LT",fontsize=16,color="black",shape="box"];11572 -> 11628[label="",style="solid", color="black", weight=3]; 25.25/11.42 11573[label="compare1 GT LT (GT <= LT) == LT",fontsize=16,color="black",shape="box"];11573 -> 11629[label="",style="solid", color="black", weight=3]; 25.25/11.42 11574[label="compare1 GT EQ (GT <= EQ) == LT",fontsize=16,color="black",shape="box"];11574 -> 11630[label="",style="solid", color="black", weight=3]; 25.25/11.42 11575 -> 5387[label="",style="dashed", color="red", weight=0]; 25.25/11.42 11575[label="EQ == LT",fontsize=16,color="magenta"];11576[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11576 -> 11631[label="",style="solid", color="black", weight=3]; 25.25/11.42 11577[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11577 -> 11632[label="",style="solid", color="black", weight=3]; 25.25/11.42 11578[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11578 -> 11633[label="",style="solid", color="black", weight=3]; 25.25/11.42 11579[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11579 -> 11634[label="",style="solid", color="black", weight=3]; 25.25/11.42 11580[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11580 -> 11635[label="",style="solid", color="black", weight=3]; 25.25/11.42 11581[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11581 -> 11636[label="",style="solid", color="black", weight=3]; 25.25/11.42 11582[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11582 -> 11637[label="",style="solid", color="black", weight=3]; 25.25/11.42 11583[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11583 -> 11638[label="",style="solid", color="black", weight=3]; 25.25/11.42 11584[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11584 -> 11639[label="",style="solid", color="black", weight=3]; 25.25/11.42 11585[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11585 -> 11640[label="",style="solid", color="black", weight=3]; 25.25/11.42 11586[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="burlywood",shape="box"];13113[label="yuz416/LT",fontsize=10,color="white",style="solid",shape="box"];11586 -> 13113[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13113 -> 11641[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13114[label="yuz416/EQ",fontsize=10,color="white",style="solid",shape="box"];11586 -> 13114[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13114 -> 11642[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13115[label="yuz416/GT",fontsize=10,color="white",style="solid",shape="box"];11586 -> 13115[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13115 -> 11643[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 11587[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11587 -> 11644[label="",style="solid", color="black", weight=3]; 25.25/11.42 11588[label="compare2 yuz416 yuz411 (yuz416 == yuz411) == GT",fontsize=16,color="black",shape="box"];11588 -> 11645[label="",style="solid", color="black", weight=3]; 25.25/11.42 11589[label="primCmpInt (Pos yuz4160) yuz411 == GT",fontsize=16,color="burlywood",shape="box"];13116[label="yuz4160/Succ yuz41600",fontsize=10,color="white",style="solid",shape="box"];11589 -> 13116[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13116 -> 11646[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13117[label="yuz4160/Zero",fontsize=10,color="white",style="solid",shape="box"];11589 -> 13117[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13117 -> 11647[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 11590[label="primCmpInt (Neg yuz4160) yuz411 == GT",fontsize=16,color="burlywood",shape="box"];13118[label="yuz4160/Succ yuz41600",fontsize=10,color="white",style="solid",shape="box"];11590 -> 13118[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13118 -> 11648[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13119[label="yuz4160/Zero",fontsize=10,color="white",style="solid",shape="box"];11590 -> 13119[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13119 -> 11649[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 11591[label="FiniteMap.Branch yuz437 (FiniteMap.addToFM0 yuz433 yuz438) yuz434 yuz435 yuz436",fontsize=16,color="green",shape="box"];11591 -> 11650[label="",style="dashed", color="green", weight=3]; 25.25/11.42 12091[label="yuz436",fontsize=16,color="green",shape="box"];12092[label="yuz437",fontsize=16,color="green",shape="box"];12093[label="yuz438",fontsize=16,color="green",shape="box"];12191[label="FiniteMap.Branch yuz416 yuz417 (Pos (Succ Zero)) FiniteMap.emptyFM FiniteMap.emptyFM",fontsize=16,color="green",shape="box"];12191 -> 12258[label="",style="dashed", color="green", weight=3]; 25.25/11.42 12191 -> 12259[label="",style="dashed", color="green", weight=3]; 25.25/11.42 12192[label="yuz4140",fontsize=16,color="green",shape="box"];12193[label="yuz4143",fontsize=16,color="green",shape="box"];12194[label="yuz4144",fontsize=16,color="green",shape="box"];12195[label="yuz416 < yuz4140",fontsize=16,color="blue",shape="box"];13120[label="< :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13120[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13120 -> 12260[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13121[label="< :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13121[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13121 -> 12261[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13122[label="< :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13122[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13122 -> 12262[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13123[label="< :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13123[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13123 -> 12263[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13124[label="< :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13124[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13124 -> 12264[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13125[label="< :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13125[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13125 -> 12265[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13126[label="< :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13126[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13126 -> 12266[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13127[label="< :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13127[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13127 -> 12267[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13128[label="< :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13128[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13128 -> 12268[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13129[label="< :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13129[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13129 -> 12269[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13130[label="< :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13130[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13130 -> 12270[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13131[label="< :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13131[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13131 -> 12271[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13132[label="< :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13132[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13132 -> 12272[label="",style="solid", color="blue", weight=3]; 25.25/11.42 13133[label="< :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];12195 -> 13133[label="",style="solid", color="blue", weight=9]; 25.25/11.42 13133 -> 12273[label="",style="solid", color="blue", weight=3]; 25.25/11.42 12196[label="yuz4141",fontsize=16,color="green",shape="box"];12197[label="yuz4142",fontsize=16,color="green",shape="box"];10661[label="Succ yuz36800",fontsize=16,color="green",shape="box"];10662[label="primMulNat (Succ (Succ (Succ (Succ Zero)))) (Succ yuz36800)",fontsize=16,color="black",shape="box"];10662 -> 10740[label="",style="solid", color="black", weight=3]; 25.25/11.42 2742[label="primPlusNat yuz250 yuz15",fontsize=16,color="burlywood",shape="triangle"];13134[label="yuz250/Succ yuz2500",fontsize=10,color="white",style="solid",shape="box"];2742 -> 13134[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13134 -> 2806[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13135[label="yuz250/Zero",fontsize=10,color="white",style="solid",shape="box"];2742 -> 13135[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13135 -> 2807[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 6850[label="primCmpNat (Succ yuz161000) yuz15100 == LT",fontsize=16,color="burlywood",shape="box"];13136[label="yuz15100/Succ yuz151000",fontsize=10,color="white",style="solid",shape="box"];6850 -> 13136[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13136 -> 6908[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13137[label="yuz15100/Zero",fontsize=10,color="white",style="solid",shape="box"];6850 -> 13137[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13137 -> 6909[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 6851[label="primCmpNat Zero yuz15100 == LT",fontsize=16,color="burlywood",shape="box"];13138[label="yuz15100/Succ yuz151000",fontsize=10,color="white",style="solid",shape="box"];6851 -> 13138[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13138 -> 6910[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 13139[label="yuz15100/Zero",fontsize=10,color="white",style="solid",shape="box"];6851 -> 13139[label="",style="solid", color="burlywood", weight=9]; 25.25/11.42 13139 -> 6911[label="",style="solid", color="burlywood", weight=3]; 25.25/11.42 6852[label="yuz15100",fontsize=16,color="green",shape="box"];6853[label="yuz16100",fontsize=16,color="green",shape="box"];10775[label="FiniteMap.Branch yuz391 yuz392 yuz393 yuz394 yuz395",fontsize=16,color="green",shape="box"];10776[label="FiniteMap.Branch yuz386 yuz387 yuz388 yuz389 yuz390",fontsize=16,color="green",shape="box"];10777[label="yuz384",fontsize=16,color="green",shape="box"];10778[label="yuz385",fontsize=16,color="green",shape="box"];6849[label="FiniteMap.mkBranchResult yuz232 yuz233 yuz236 yuz321",fontsize=16,color="black",shape="triangle"];6849 -> 6907[label="",style="solid", color="black", weight=3]; 25.25/11.42 12198[label="yuz1592",fontsize=16,color="green",shape="box"];12199[label="yuz1593",fontsize=16,color="green",shape="box"];12200[label="yuz1590",fontsize=16,color="green",shape="box"];12201[label="yuz1591",fontsize=16,color="green",shape="box"];12202[label="yuz1594",fontsize=16,color="green",shape="box"];12233[label="yuz15934",fontsize=16,color="green",shape="box"];12234[label="yuz15933",fontsize=16,color="green",shape="box"];12235[label="yuz15930",fontsize=16,color="green",shape="box"];12236[label="yuz15931",fontsize=16,color="green",shape="box"];12237[label="yuz15932",fontsize=16,color="green",shape="box"];12241 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12241[label="FiniteMap.sizeFM yuz454",fontsize=16,color="magenta"];12241 -> 12286[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12242[label="primPlusInt (Pos yuz4580) (FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354)",fontsize=16,color="black",shape="box"];12242 -> 12287[label="",style="solid", color="black", weight=3]; 25.25/11.42 12243[label="primPlusInt (Neg yuz4580) (FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354)",fontsize=16,color="black",shape="box"];12243 -> 12288[label="",style="solid", color="black", weight=3]; 25.25/11.42 12244 -> 8159[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12244[label="FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="magenta"];12244 -> 12289[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12245[label="FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="black",shape="triangle"];12245 -> 12290[label="",style="solid", color="black", weight=3]; 25.25/11.42 12246[label="FiniteMap.mkBalBranch6MkBalBranch4 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 False",fontsize=16,color="black",shape="box"];12246 -> 12291[label="",style="solid", color="black", weight=3]; 25.25/11.42 12247[label="FiniteMap.mkBalBranch6MkBalBranch4 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 True",fontsize=16,color="black",shape="box"];12247 -> 12292[label="",style="solid", color="black", weight=3]; 25.25/11.42 12248[label="yuz2354",fontsize=16,color="green",shape="box"];12249[label="yuz454",fontsize=16,color="green",shape="box"];12250[label="yuz2350",fontsize=16,color="green",shape="box"];12251[label="yuz2351",fontsize=16,color="green",shape="box"];10845 -> 10885[label="",style="dashed", color="red", weight=0]; 25.25/11.42 10845[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.sizeFM (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) > FiniteMap.sizeFM (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414))",fontsize=16,color="magenta"];10845 -> 10886[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 10845 -> 10887[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12153[label="FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354",fontsize=16,color="green",shape="box"];12154[label="yuz24140",fontsize=16,color="green",shape="box"];12155[label="yuz2350",fontsize=16,color="green",shape="box"];12156[label="yuz24141",fontsize=16,color="green",shape="box"];12157[label="yuz2351",fontsize=16,color="green",shape="box"];12158[label="yuz24143",fontsize=16,color="green",shape="box"];12159[label="yuz24142",fontsize=16,color="green",shape="box"];12160[label="yuz2352",fontsize=16,color="green",shape="box"];12161[label="yuz2353",fontsize=16,color="green",shape="box"];12162[label="yuz24144",fontsize=16,color="green",shape="box"];12163[label="yuz2354",fontsize=16,color="green",shape="box"];12252 -> 10651[label="",style="dashed", color="red", weight=0]; 25.25/11.42 12252[label="FiniteMap.glueVBal3Size_l yuz23530 yuz23531 yuz23532 yuz23533 yuz23534 yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="magenta"];12252 -> 12293[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12252 -> 12294[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12252 -> 12295[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12252 -> 12296[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12252 -> 12297[label="",style="dashed", color="magenta", weight=3]; 25.25/11.42 12253[label="yuz23532",fontsize=16,color="green",shape="box"];12254[label="yuz23531",fontsize=16,color="green",shape="box"];12255[label="yuz23533",fontsize=16,color="green",shape="box"];12256[label="yuz23530",fontsize=16,color="green",shape="box"];12257[label="yuz23534",fontsize=16,color="green",shape="box"];11625[label="compare1 LT EQ True == LT",fontsize=16,color="black",shape="box"];11625 -> 11684[label="",style="solid", color="black", weight=3]; 25.25/11.42 11626[label="compare1 LT GT True == LT",fontsize=16,color="black",shape="box"];11626 -> 11685[label="",style="solid", color="black", weight=3]; 25.25/11.42 11627[label="compare1 EQ LT False == LT",fontsize=16,color="black",shape="box"];11627 -> 11686[label="",style="solid", color="black", weight=3]; 25.25/11.43 11628[label="compare1 EQ GT True == LT",fontsize=16,color="black",shape="box"];11628 -> 11687[label="",style="solid", color="black", weight=3]; 25.25/11.43 11629[label="compare1 GT LT False == LT",fontsize=16,color="black",shape="box"];11629 -> 11688[label="",style="solid", color="black", weight=3]; 25.25/11.43 11630[label="compare1 GT EQ False == LT",fontsize=16,color="black",shape="box"];11630 -> 11689[label="",style="solid", color="black", weight=3]; 25.25/11.43 11631[label="error []",fontsize=16,color="red",shape="box"];11632[label="error []",fontsize=16,color="red",shape="box"];11633[label="error []",fontsize=16,color="red",shape="box"];11634[label="error []",fontsize=16,color="red",shape="box"];11635[label="error []",fontsize=16,color="red",shape="box"];11636[label="error []",fontsize=16,color="red",shape="box"];11637[label="error []",fontsize=16,color="red",shape="box"];11638[label="error []",fontsize=16,color="red",shape="box"];11639[label="error []",fontsize=16,color="red",shape="box"];11640[label="error []",fontsize=16,color="red",shape="box"];11641[label="compare2 LT yuz411 (LT == yuz411) == GT",fontsize=16,color="burlywood",shape="box"];13140[label="yuz411/LT",fontsize=10,color="white",style="solid",shape="box"];11641 -> 13140[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13140 -> 11690[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13141[label="yuz411/EQ",fontsize=10,color="white",style="solid",shape="box"];11641 -> 13141[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13141 -> 11691[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13142[label="yuz411/GT",fontsize=10,color="white",style="solid",shape="box"];11641 -> 13142[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13142 -> 11692[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11642[label="compare2 EQ yuz411 (EQ == yuz411) == GT",fontsize=16,color="burlywood",shape="box"];13143[label="yuz411/LT",fontsize=10,color="white",style="solid",shape="box"];11642 -> 13143[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13143 -> 11693[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13144[label="yuz411/EQ",fontsize=10,color="white",style="solid",shape="box"];11642 -> 13144[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13144 -> 11694[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13145[label="yuz411/GT",fontsize=10,color="white",style="solid",shape="box"];11642 -> 13145[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13145 -> 11695[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11643[label="compare2 GT yuz411 (GT == yuz411) == GT",fontsize=16,color="burlywood",shape="box"];13146[label="yuz411/LT",fontsize=10,color="white",style="solid",shape="box"];11643 -> 13146[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13146 -> 11696[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13147[label="yuz411/EQ",fontsize=10,color="white",style="solid",shape="box"];11643 -> 13147[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13147 -> 11697[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13148[label="yuz411/GT",fontsize=10,color="white",style="solid",shape="box"];11643 -> 13148[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13148 -> 11698[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11644[label="error []",fontsize=16,color="red",shape="box"];11645[label="error []",fontsize=16,color="red",shape="box"];11646[label="primCmpInt (Pos (Succ yuz41600)) yuz411 == GT",fontsize=16,color="burlywood",shape="box"];13149[label="yuz411/Pos yuz4110",fontsize=10,color="white",style="solid",shape="box"];11646 -> 13149[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13149 -> 11699[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13150[label="yuz411/Neg yuz4110",fontsize=10,color="white",style="solid",shape="box"];11646 -> 13150[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13150 -> 11700[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11647[label="primCmpInt (Pos Zero) yuz411 == GT",fontsize=16,color="burlywood",shape="box"];13151[label="yuz411/Pos yuz4110",fontsize=10,color="white",style="solid",shape="box"];11647 -> 13151[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13151 -> 11701[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13152[label="yuz411/Neg yuz4110",fontsize=10,color="white",style="solid",shape="box"];11647 -> 13152[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13152 -> 11702[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11648[label="primCmpInt (Neg (Succ yuz41600)) yuz411 == GT",fontsize=16,color="burlywood",shape="box"];13153[label="yuz411/Pos yuz4110",fontsize=10,color="white",style="solid",shape="box"];11648 -> 13153[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13153 -> 11703[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13154[label="yuz411/Neg yuz4110",fontsize=10,color="white",style="solid",shape="box"];11648 -> 13154[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13154 -> 11704[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11649[label="primCmpInt (Neg Zero) yuz411 == GT",fontsize=16,color="burlywood",shape="box"];13155[label="yuz411/Pos yuz4110",fontsize=10,color="white",style="solid",shape="box"];11649 -> 13155[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13155 -> 11705[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13156[label="yuz411/Neg yuz4110",fontsize=10,color="white",style="solid",shape="box"];11649 -> 13156[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13156 -> 11706[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11650[label="FiniteMap.addToFM0 yuz433 yuz438",fontsize=16,color="black",shape="box"];11650 -> 11707[label="",style="solid", color="black", weight=3]; 25.25/11.43 12258[label="FiniteMap.emptyFM",fontsize=16,color="black",shape="triangle"];12258 -> 12298[label="",style="solid", color="black", weight=3]; 25.25/11.43 12259 -> 12258[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12259[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];12260[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12260 -> 12299[label="",style="solid", color="black", weight=3]; 25.25/11.43 12261[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12261 -> 12300[label="",style="solid", color="black", weight=3]; 25.25/11.43 12262[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12262 -> 12301[label="",style="solid", color="black", weight=3]; 25.25/11.43 12263[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12263 -> 12302[label="",style="solid", color="black", weight=3]; 25.25/11.43 12264[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12264 -> 12303[label="",style="solid", color="black", weight=3]; 25.25/11.43 12265[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12265 -> 12304[label="",style="solid", color="black", weight=3]; 25.25/11.43 12266[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12266 -> 12305[label="",style="solid", color="black", weight=3]; 25.25/11.43 12267[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12267 -> 12306[label="",style="solid", color="black", weight=3]; 25.25/11.43 12268[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12268 -> 12307[label="",style="solid", color="black", weight=3]; 25.25/11.43 12269[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12269 -> 12308[label="",style="solid", color="black", weight=3]; 25.25/11.43 12270 -> 10907[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12270[label="yuz416 < yuz4140",fontsize=16,color="magenta"];12270 -> 12309[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12270 -> 12310[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12271[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12271 -> 12311[label="",style="solid", color="black", weight=3]; 25.25/11.43 12272[label="yuz416 < yuz4140",fontsize=16,color="black",shape="box"];12272 -> 12312[label="",style="solid", color="black", weight=3]; 25.25/11.43 12273 -> 4214[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12273[label="yuz416 < yuz4140",fontsize=16,color="magenta"];12273 -> 12313[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12273 -> 12314[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10740 -> 2742[label="",style="dashed", color="red", weight=0]; 25.25/11.43 10740[label="primPlusNat (primMulNat (Succ (Succ (Succ Zero))) (Succ yuz36800)) (Succ yuz36800)",fontsize=16,color="magenta"];10740 -> 10779[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10740 -> 10780[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 2806[label="primPlusNat (Succ yuz2500) yuz15",fontsize=16,color="burlywood",shape="box"];13157[label="yuz15/Succ yuz150",fontsize=10,color="white",style="solid",shape="box"];2806 -> 13157[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13157 -> 2849[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13158[label="yuz15/Zero",fontsize=10,color="white",style="solid",shape="box"];2806 -> 13158[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13158 -> 2850[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 2807[label="primPlusNat Zero yuz15",fontsize=16,color="burlywood",shape="box"];13159[label="yuz15/Succ yuz150",fontsize=10,color="white",style="solid",shape="box"];2807 -> 13159[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13159 -> 2851[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13160[label="yuz15/Zero",fontsize=10,color="white",style="solid",shape="box"];2807 -> 13160[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13160 -> 2852[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 6908[label="primCmpNat (Succ yuz161000) (Succ yuz151000) == LT",fontsize=16,color="black",shape="box"];6908 -> 7205[label="",style="solid", color="black", weight=3]; 25.25/11.43 6909[label="primCmpNat (Succ yuz161000) Zero == LT",fontsize=16,color="black",shape="box"];6909 -> 7206[label="",style="solid", color="black", weight=3]; 25.25/11.43 6910[label="primCmpNat Zero (Succ yuz151000) == LT",fontsize=16,color="black",shape="box"];6910 -> 7207[label="",style="solid", color="black", weight=3]; 25.25/11.43 6911[label="primCmpNat Zero Zero == LT",fontsize=16,color="black",shape="box"];6911 -> 7208[label="",style="solid", color="black", weight=3]; 25.25/11.43 6907[label="FiniteMap.Branch yuz232 yuz233 (FiniteMap.mkBranchUnbox yuz236 yuz232 yuz321 (Pos (Succ Zero) + FiniteMap.mkBranchLeft_size yuz236 yuz232 yuz321 + FiniteMap.mkBranchRight_size yuz236 yuz232 yuz321)) yuz321 yuz236",fontsize=16,color="green",shape="box"];6907 -> 7204[label="",style="dashed", color="green", weight=3]; 25.25/11.43 12286[label="yuz454",fontsize=16,color="green",shape="box"];12287 -> 7811[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12287[label="primPlusInt (Pos yuz4580) (FiniteMap.sizeFM yuz2354)",fontsize=16,color="magenta"];12287 -> 12323[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12287 -> 12324[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12288 -> 7813[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12288[label="primPlusInt (Neg yuz4580) (FiniteMap.sizeFM yuz2354)",fontsize=16,color="magenta"];12288 -> 12325[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12288 -> 12326[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12289 -> 12239[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12289[label="FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="magenta"];12290 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12290[label="FiniteMap.sizeFM yuz2354",fontsize=16,color="magenta"];12290 -> 12327[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12291 -> 12328[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12291[label="FiniteMap.mkBalBranch6MkBalBranch3 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 (FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354)",fontsize=16,color="magenta"];12291 -> 12329[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12292[label="FiniteMap.mkBalBranch6MkBalBranch0 yuz2350 yuz2351 yuz454 yuz2354 yuz454 yuz2354 yuz2354",fontsize=16,color="burlywood",shape="box"];13161[label="yuz2354/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12292 -> 13161[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13161 -> 12330[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13162[label="yuz2354/FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544",fontsize=10,color="white",style="solid",shape="box"];12292 -> 13162[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13162 -> 12331[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 10886 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 10886[label="FiniteMap.sizeFM (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="magenta"];10886 -> 11311[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10887 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 10887[label="FiniteMap.sizeFM (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)",fontsize=16,color="magenta"];10887 -> 11312[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10885[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (yuz401 > yuz400)",fontsize=16,color="black",shape="triangle"];10885 -> 11313[label="",style="solid", color="black", weight=3]; 25.25/11.43 12293[label="yuz23532",fontsize=16,color="green",shape="box"];12294[label="yuz23531",fontsize=16,color="green",shape="box"];12295[label="yuz23533",fontsize=16,color="green",shape="box"];12296[label="yuz23530",fontsize=16,color="green",shape="box"];12297[label="yuz23534",fontsize=16,color="green",shape="box"];11684 -> 5348[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11684[label="LT == LT",fontsize=16,color="magenta"];11685 -> 5348[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11685[label="LT == LT",fontsize=16,color="magenta"];11686[label="compare0 EQ LT otherwise == LT",fontsize=16,color="black",shape="box"];11686 -> 11758[label="",style="solid", color="black", weight=3]; 25.25/11.43 11687 -> 5348[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11687[label="LT == LT",fontsize=16,color="magenta"];11688[label="compare0 GT LT otherwise == LT",fontsize=16,color="black",shape="box"];11688 -> 11759[label="",style="solid", color="black", weight=3]; 25.25/11.43 11689[label="compare0 GT EQ otherwise == LT",fontsize=16,color="black",shape="box"];11689 -> 11760[label="",style="solid", color="black", weight=3]; 25.25/11.43 11690[label="compare2 LT LT (LT == LT) == GT",fontsize=16,color="black",shape="box"];11690 -> 11761[label="",style="solid", color="black", weight=3]; 25.25/11.43 11691[label="compare2 LT EQ (LT == EQ) == GT",fontsize=16,color="black",shape="box"];11691 -> 11762[label="",style="solid", color="black", weight=3]; 25.25/11.43 11692[label="compare2 LT GT (LT == GT) == GT",fontsize=16,color="black",shape="box"];11692 -> 11763[label="",style="solid", color="black", weight=3]; 25.25/11.43 11693[label="compare2 EQ LT (EQ == LT) == GT",fontsize=16,color="black",shape="box"];11693 -> 11764[label="",style="solid", color="black", weight=3]; 25.25/11.43 11694[label="compare2 EQ EQ (EQ == EQ) == GT",fontsize=16,color="black",shape="box"];11694 -> 11765[label="",style="solid", color="black", weight=3]; 25.25/11.43 11695[label="compare2 EQ GT (EQ == GT) == GT",fontsize=16,color="black",shape="box"];11695 -> 11766[label="",style="solid", color="black", weight=3]; 25.25/11.43 11696[label="compare2 GT LT (GT == LT) == GT",fontsize=16,color="black",shape="box"];11696 -> 11767[label="",style="solid", color="black", weight=3]; 25.25/11.43 11697[label="compare2 GT EQ (GT == EQ) == GT",fontsize=16,color="black",shape="box"];11697 -> 11768[label="",style="solid", color="black", weight=3]; 25.25/11.43 11698[label="compare2 GT GT (GT == GT) == GT",fontsize=16,color="black",shape="box"];11698 -> 11769[label="",style="solid", color="black", weight=3]; 25.25/11.43 11699[label="primCmpInt (Pos (Succ yuz41600)) (Pos yuz4110) == GT",fontsize=16,color="black",shape="box"];11699 -> 11770[label="",style="solid", color="black", weight=3]; 25.25/11.43 11700[label="primCmpInt (Pos (Succ yuz41600)) (Neg yuz4110) == GT",fontsize=16,color="black",shape="box"];11700 -> 11771[label="",style="solid", color="black", weight=3]; 25.25/11.43 11701[label="primCmpInt (Pos Zero) (Pos yuz4110) == GT",fontsize=16,color="burlywood",shape="box"];13163[label="yuz4110/Succ yuz41100",fontsize=10,color="white",style="solid",shape="box"];11701 -> 13163[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13163 -> 11772[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13164[label="yuz4110/Zero",fontsize=10,color="white",style="solid",shape="box"];11701 -> 13164[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13164 -> 11773[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11702[label="primCmpInt (Pos Zero) (Neg yuz4110) == GT",fontsize=16,color="burlywood",shape="box"];13165[label="yuz4110/Succ yuz41100",fontsize=10,color="white",style="solid",shape="box"];11702 -> 13165[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13165 -> 11774[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13166[label="yuz4110/Zero",fontsize=10,color="white",style="solid",shape="box"];11702 -> 13166[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13166 -> 11775[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11703[label="primCmpInt (Neg (Succ yuz41600)) (Pos yuz4110) == GT",fontsize=16,color="black",shape="box"];11703 -> 11776[label="",style="solid", color="black", weight=3]; 25.25/11.43 11704[label="primCmpInt (Neg (Succ yuz41600)) (Neg yuz4110) == GT",fontsize=16,color="black",shape="box"];11704 -> 11777[label="",style="solid", color="black", weight=3]; 25.25/11.43 11705[label="primCmpInt (Neg Zero) (Pos yuz4110) == GT",fontsize=16,color="burlywood",shape="box"];13167[label="yuz4110/Succ yuz41100",fontsize=10,color="white",style="solid",shape="box"];11705 -> 13167[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13167 -> 11778[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13168[label="yuz4110/Zero",fontsize=10,color="white",style="solid",shape="box"];11705 -> 13168[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13168 -> 11779[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11706[label="primCmpInt (Neg Zero) (Neg yuz4110) == GT",fontsize=16,color="burlywood",shape="box"];13169[label="yuz4110/Succ yuz41100",fontsize=10,color="white",style="solid",shape="box"];11706 -> 13169[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13169 -> 11780[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13170[label="yuz4110/Zero",fontsize=10,color="white",style="solid",shape="box"];11706 -> 13170[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13170 -> 11781[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11707[label="yuz438",fontsize=16,color="green",shape="box"];12298[label="FiniteMap.EmptyFM",fontsize=16,color="green",shape="box"];12299[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12299 -> 12332[label="",style="solid", color="black", weight=3]; 25.25/11.43 12300[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12300 -> 12333[label="",style="solid", color="black", weight=3]; 25.25/11.43 12301[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12301 -> 12334[label="",style="solid", color="black", weight=3]; 25.25/11.43 12302[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12302 -> 12335[label="",style="solid", color="black", weight=3]; 25.25/11.43 12303[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12303 -> 12336[label="",style="solid", color="black", weight=3]; 25.25/11.43 12304[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12304 -> 12337[label="",style="solid", color="black", weight=3]; 25.25/11.43 12305[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12305 -> 12338[label="",style="solid", color="black", weight=3]; 25.25/11.43 12306[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12306 -> 12339[label="",style="solid", color="black", weight=3]; 25.25/11.43 12307[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12307 -> 12340[label="",style="solid", color="black", weight=3]; 25.25/11.43 12308[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12308 -> 12341[label="",style="solid", color="black", weight=3]; 25.25/11.43 12309[label="yuz4140",fontsize=16,color="green",shape="box"];12310[label="yuz416",fontsize=16,color="green",shape="box"];12311[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12311 -> 12342[label="",style="solid", color="black", weight=3]; 25.25/11.43 12312[label="compare yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12312 -> 12343[label="",style="solid", color="black", weight=3]; 25.25/11.43 12313[label="yuz416",fontsize=16,color="green",shape="box"];12314[label="yuz4140",fontsize=16,color="green",shape="box"];10779[label="Succ yuz36800",fontsize=16,color="green",shape="box"];10780[label="primMulNat (Succ (Succ (Succ Zero))) (Succ yuz36800)",fontsize=16,color="black",shape="box"];10780 -> 10826[label="",style="solid", color="black", weight=3]; 25.25/11.43 2849[label="primPlusNat (Succ yuz2500) (Succ yuz150)",fontsize=16,color="black",shape="box"];2849 -> 2867[label="",style="solid", color="black", weight=3]; 25.25/11.43 2850[label="primPlusNat (Succ yuz2500) Zero",fontsize=16,color="black",shape="box"];2850 -> 2868[label="",style="solid", color="black", weight=3]; 25.25/11.43 2851[label="primPlusNat Zero (Succ yuz150)",fontsize=16,color="black",shape="box"];2851 -> 2869[label="",style="solid", color="black", weight=3]; 25.25/11.43 2852[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];2852 -> 2870[label="",style="solid", color="black", weight=3]; 25.25/11.43 7205 -> 6818[label="",style="dashed", color="red", weight=0]; 25.25/11.43 7205[label="primCmpNat yuz161000 yuz151000 == LT",fontsize=16,color="magenta"];7205 -> 7253[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7205 -> 7254[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7206 -> 5343[label="",style="dashed", color="red", weight=0]; 25.25/11.43 7206[label="GT == LT",fontsize=16,color="magenta"];7207 -> 5348[label="",style="dashed", color="red", weight=0]; 25.25/11.43 7207[label="LT == LT",fontsize=16,color="magenta"];7208 -> 5387[label="",style="dashed", color="red", weight=0]; 25.25/11.43 7208[label="EQ == LT",fontsize=16,color="magenta"];7204[label="FiniteMap.mkBranchUnbox yuz236 yuz232 yuz321 (Pos (Succ Zero) + FiniteMap.mkBranchLeft_size yuz236 yuz232 yuz321 + FiniteMap.mkBranchRight_size yuz236 yuz232 yuz321)",fontsize=16,color="black",shape="box"];7204 -> 7259[label="",style="solid", color="black", weight=3]; 25.25/11.43 12323[label="yuz4580",fontsize=16,color="green",shape="box"];12324 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12324[label="FiniteMap.sizeFM yuz2354",fontsize=16,color="magenta"];12324 -> 12344[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7811[label="primPlusInt (Pos yuz32820) yuz1602",fontsize=16,color="burlywood",shape="triangle"];13171[label="yuz1602/Pos yuz16020",fontsize=10,color="white",style="solid",shape="box"];7811 -> 13171[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13171 -> 7856[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13172[label="yuz1602/Neg yuz16020",fontsize=10,color="white",style="solid",shape="box"];7811 -> 13172[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13172 -> 7857[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12325[label="yuz4580",fontsize=16,color="green",shape="box"];12326 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12326[label="FiniteMap.sizeFM yuz2354",fontsize=16,color="magenta"];12326 -> 12345[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7813[label="primPlusInt (Neg yuz32820) yuz1602",fontsize=16,color="burlywood",shape="triangle"];13173[label="yuz1602/Pos yuz16020",fontsize=10,color="white",style="solid",shape="box"];7813 -> 13173[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13173 -> 7859[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13174[label="yuz1602/Neg yuz16020",fontsize=10,color="white",style="solid",shape="box"];7813 -> 13174[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13174 -> 7860[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12327[label="yuz2354",fontsize=16,color="green",shape="box"];12329 -> 11424[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12329[label="FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="magenta"];12329 -> 12346[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12329 -> 12347[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12328[label="FiniteMap.mkBalBranch6MkBalBranch3 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 yuz459",fontsize=16,color="burlywood",shape="triangle"];13175[label="yuz459/False",fontsize=10,color="white",style="solid",shape="box"];12328 -> 13175[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13175 -> 12348[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13176[label="yuz459/True",fontsize=10,color="white",style="solid",shape="box"];12328 -> 13176[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13176 -> 12349[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12330[label="FiniteMap.mkBalBranch6MkBalBranch0 yuz2350 yuz2351 yuz454 FiniteMap.EmptyFM yuz454 FiniteMap.EmptyFM FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];12330 -> 12362[label="",style="solid", color="black", weight=3]; 25.25/11.43 12331[label="FiniteMap.mkBalBranch6MkBalBranch0 yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544)",fontsize=16,color="black",shape="box"];12331 -> 12363[label="",style="solid", color="black", weight=3]; 25.25/11.43 11311[label="FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354",fontsize=16,color="green",shape="box"];11312[label="FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="green",shape="box"];11313[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (compare yuz401 yuz400 == GT)",fontsize=16,color="black",shape="box"];11313 -> 11364[label="",style="solid", color="black", weight=3]; 25.25/11.43 11758[label="compare0 EQ LT True == LT",fontsize=16,color="black",shape="box"];11758 -> 11847[label="",style="solid", color="black", weight=3]; 25.25/11.43 11759[label="compare0 GT LT True == LT",fontsize=16,color="black",shape="box"];11759 -> 11848[label="",style="solid", color="black", weight=3]; 25.25/11.43 11760[label="compare0 GT EQ True == LT",fontsize=16,color="black",shape="box"];11760 -> 11849[label="",style="solid", color="black", weight=3]; 25.25/11.43 11761[label="compare2 LT LT True == GT",fontsize=16,color="black",shape="box"];11761 -> 11850[label="",style="solid", color="black", weight=3]; 25.25/11.43 11762[label="compare2 LT EQ False == GT",fontsize=16,color="black",shape="box"];11762 -> 11851[label="",style="solid", color="black", weight=3]; 25.25/11.43 11763[label="compare2 LT GT False == GT",fontsize=16,color="black",shape="box"];11763 -> 11852[label="",style="solid", color="black", weight=3]; 25.25/11.43 11764[label="compare2 EQ LT False == GT",fontsize=16,color="black",shape="box"];11764 -> 11853[label="",style="solid", color="black", weight=3]; 25.25/11.43 11765[label="compare2 EQ EQ True == GT",fontsize=16,color="black",shape="box"];11765 -> 11854[label="",style="solid", color="black", weight=3]; 25.25/11.43 11766[label="compare2 EQ GT False == GT",fontsize=16,color="black",shape="box"];11766 -> 11855[label="",style="solid", color="black", weight=3]; 25.25/11.43 11767[label="compare2 GT LT False == GT",fontsize=16,color="black",shape="box"];11767 -> 11856[label="",style="solid", color="black", weight=3]; 25.25/11.43 11768[label="compare2 GT EQ False == GT",fontsize=16,color="black",shape="box"];11768 -> 11857[label="",style="solid", color="black", weight=3]; 25.25/11.43 11769[label="compare2 GT GT True == GT",fontsize=16,color="black",shape="box"];11769 -> 11858[label="",style="solid", color="black", weight=3]; 25.25/11.43 11770[label="primCmpNat (Succ yuz41600) yuz4110 == GT",fontsize=16,color="burlywood",shape="triangle"];13177[label="yuz4110/Succ yuz41100",fontsize=10,color="white",style="solid",shape="box"];11770 -> 13177[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13177 -> 11859[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13178[label="yuz4110/Zero",fontsize=10,color="white",style="solid",shape="box"];11770 -> 13178[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13178 -> 11860[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11771[label="GT == GT",fontsize=16,color="black",shape="triangle"];11771 -> 11861[label="",style="solid", color="black", weight=3]; 25.25/11.43 11772[label="primCmpInt (Pos Zero) (Pos (Succ yuz41100)) == GT",fontsize=16,color="black",shape="box"];11772 -> 11862[label="",style="solid", color="black", weight=3]; 25.25/11.43 11773[label="primCmpInt (Pos Zero) (Pos Zero) == GT",fontsize=16,color="black",shape="box"];11773 -> 11863[label="",style="solid", color="black", weight=3]; 25.25/11.43 11774[label="primCmpInt (Pos Zero) (Neg (Succ yuz41100)) == GT",fontsize=16,color="black",shape="box"];11774 -> 11864[label="",style="solid", color="black", weight=3]; 25.25/11.43 11775[label="primCmpInt (Pos Zero) (Neg Zero) == GT",fontsize=16,color="black",shape="box"];11775 -> 11865[label="",style="solid", color="black", weight=3]; 25.25/11.43 11776[label="LT == GT",fontsize=16,color="black",shape="triangle"];11776 -> 11866[label="",style="solid", color="black", weight=3]; 25.25/11.43 11777[label="primCmpNat yuz4110 (Succ yuz41600) == GT",fontsize=16,color="burlywood",shape="triangle"];13179[label="yuz4110/Succ yuz41100",fontsize=10,color="white",style="solid",shape="box"];11777 -> 13179[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13179 -> 11867[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13180[label="yuz4110/Zero",fontsize=10,color="white",style="solid",shape="box"];11777 -> 13180[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13180 -> 11868[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11778[label="primCmpInt (Neg Zero) (Pos (Succ yuz41100)) == GT",fontsize=16,color="black",shape="box"];11778 -> 11869[label="",style="solid", color="black", weight=3]; 25.25/11.43 11779[label="primCmpInt (Neg Zero) (Pos Zero) == GT",fontsize=16,color="black",shape="box"];11779 -> 11870[label="",style="solid", color="black", weight=3]; 25.25/11.43 11780[label="primCmpInt (Neg Zero) (Neg (Succ yuz41100)) == GT",fontsize=16,color="black",shape="box"];11780 -> 11871[label="",style="solid", color="black", weight=3]; 25.25/11.43 11781[label="primCmpInt (Neg Zero) (Neg Zero) == GT",fontsize=16,color="black",shape="box"];11781 -> 11872[label="",style="solid", color="black", weight=3]; 25.25/11.43 12332[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12332 -> 12364[label="",style="solid", color="black", weight=3]; 25.25/11.43 12333[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12333 -> 12365[label="",style="solid", color="black", weight=3]; 25.25/11.43 12334[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12334 -> 12366[label="",style="solid", color="black", weight=3]; 25.25/11.43 12335[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12335 -> 12367[label="",style="solid", color="black", weight=3]; 25.25/11.43 12336[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12336 -> 12368[label="",style="solid", color="black", weight=3]; 25.25/11.43 12337[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12337 -> 12369[label="",style="solid", color="black", weight=3]; 25.25/11.43 12338[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12338 -> 12370[label="",style="solid", color="black", weight=3]; 25.25/11.43 12339[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12339 -> 12371[label="",style="solid", color="black", weight=3]; 25.25/11.43 12340[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12340 -> 12372[label="",style="solid", color="black", weight=3]; 25.25/11.43 12341[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12341 -> 12373[label="",style="solid", color="black", weight=3]; 25.25/11.43 12342[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12342 -> 12374[label="",style="solid", color="black", weight=3]; 25.25/11.43 12343[label="compare3 yuz416 yuz4140 == LT",fontsize=16,color="black",shape="box"];12343 -> 12375[label="",style="solid", color="black", weight=3]; 25.25/11.43 10826 -> 2742[label="",style="dashed", color="red", weight=0]; 25.25/11.43 10826[label="primPlusNat (primMulNat (Succ (Succ Zero)) (Succ yuz36800)) (Succ yuz36800)",fontsize=16,color="magenta"];10826 -> 10868[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10826 -> 10869[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 2867[label="Succ (Succ (primPlusNat yuz2500 yuz150))",fontsize=16,color="green",shape="box"];2867 -> 3025[label="",style="dashed", color="green", weight=3]; 25.25/11.43 2868[label="Succ yuz2500",fontsize=16,color="green",shape="box"];2869[label="Succ yuz150",fontsize=16,color="green",shape="box"];2870[label="Zero",fontsize=16,color="green",shape="box"];7253[label="yuz161000",fontsize=16,color="green",shape="box"];7254[label="yuz151000",fontsize=16,color="green",shape="box"];7259[label="Pos (Succ Zero) + FiniteMap.mkBranchLeft_size yuz236 yuz232 yuz321 + FiniteMap.mkBranchRight_size yuz236 yuz232 yuz321",fontsize=16,color="black",shape="box"];7259 -> 7531[label="",style="solid", color="black", weight=3]; 25.25/11.43 12344[label="yuz2354",fontsize=16,color="green",shape="box"];7856[label="primPlusInt (Pos yuz32820) (Pos yuz16020)",fontsize=16,color="black",shape="box"];7856 -> 8148[label="",style="solid", color="black", weight=3]; 25.25/11.43 7857[label="primPlusInt (Pos yuz32820) (Neg yuz16020)",fontsize=16,color="black",shape="box"];7857 -> 8149[label="",style="solid", color="black", weight=3]; 25.25/11.43 12345[label="yuz2354",fontsize=16,color="green",shape="box"];7859[label="primPlusInt (Neg yuz32820) (Pos yuz16020)",fontsize=16,color="black",shape="box"];7859 -> 8151[label="",style="solid", color="black", weight=3]; 25.25/11.43 7860[label="primPlusInt (Neg yuz32820) (Neg yuz16020)",fontsize=16,color="black",shape="box"];7860 -> 8152[label="",style="solid", color="black", weight=3]; 25.25/11.43 12346 -> 8159[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12346[label="FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="magenta"];12346 -> 12376[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12347 -> 12239[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12347[label="FiniteMap.mkBalBranch6Size_l yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="magenta"];12348[label="FiniteMap.mkBalBranch6MkBalBranch3 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 False",fontsize=16,color="black",shape="box"];12348 -> 12377[label="",style="solid", color="black", weight=3]; 25.25/11.43 12349[label="FiniteMap.mkBalBranch6MkBalBranch3 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 True",fontsize=16,color="black",shape="box"];12349 -> 12378[label="",style="solid", color="black", weight=3]; 25.25/11.43 12362[label="error []",fontsize=16,color="red",shape="box"];12363[label="FiniteMap.mkBalBranch6MkBalBranch02 yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544)",fontsize=16,color="black",shape="box"];12363 -> 12387[label="",style="solid", color="black", weight=3]; 25.25/11.43 11364[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt yuz401 yuz400 == GT)",fontsize=16,color="burlywood",shape="box"];13181[label="yuz401/Pos yuz4010",fontsize=10,color="white",style="solid",shape="box"];11364 -> 13181[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13181 -> 11427[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13182[label="yuz401/Neg yuz4010",fontsize=10,color="white",style="solid",shape="box"];11364 -> 13182[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13182 -> 11428[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11847 -> 5343[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11847[label="GT == LT",fontsize=16,color="magenta"];11848 -> 5343[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11848[label="GT == LT",fontsize=16,color="magenta"];11849 -> 5343[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11849[label="GT == LT",fontsize=16,color="magenta"];11850[label="EQ == GT",fontsize=16,color="black",shape="triangle"];11850 -> 11908[label="",style="solid", color="black", weight=3]; 25.25/11.43 11851[label="compare1 LT EQ (LT <= EQ) == GT",fontsize=16,color="black",shape="box"];11851 -> 11909[label="",style="solid", color="black", weight=3]; 25.25/11.43 11852[label="compare1 LT GT (LT <= GT) == GT",fontsize=16,color="black",shape="box"];11852 -> 11910[label="",style="solid", color="black", weight=3]; 25.25/11.43 11853[label="compare1 EQ LT (EQ <= LT) == GT",fontsize=16,color="black",shape="box"];11853 -> 11911[label="",style="solid", color="black", weight=3]; 25.25/11.43 11854 -> 11850[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11854[label="EQ == GT",fontsize=16,color="magenta"];11855[label="compare1 EQ GT (EQ <= GT) == GT",fontsize=16,color="black",shape="box"];11855 -> 11912[label="",style="solid", color="black", weight=3]; 25.25/11.43 11856[label="compare1 GT LT (GT <= LT) == GT",fontsize=16,color="black",shape="box"];11856 -> 11913[label="",style="solid", color="black", weight=3]; 25.25/11.43 11857[label="compare1 GT EQ (GT <= EQ) == GT",fontsize=16,color="black",shape="box"];11857 -> 11914[label="",style="solid", color="black", weight=3]; 25.25/11.43 11858 -> 11850[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11858[label="EQ == GT",fontsize=16,color="magenta"];11859[label="primCmpNat (Succ yuz41600) (Succ yuz41100) == GT",fontsize=16,color="black",shape="box"];11859 -> 11915[label="",style="solid", color="black", weight=3]; 25.25/11.43 11860[label="primCmpNat (Succ yuz41600) Zero == GT",fontsize=16,color="black",shape="box"];11860 -> 11916[label="",style="solid", color="black", weight=3]; 25.25/11.43 11861[label="True",fontsize=16,color="green",shape="box"];11862 -> 11777[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11862[label="primCmpNat Zero (Succ yuz41100) == GT",fontsize=16,color="magenta"];11862 -> 11917[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11862 -> 11918[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11863 -> 11850[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11863[label="EQ == GT",fontsize=16,color="magenta"];11864 -> 11771[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11864[label="GT == GT",fontsize=16,color="magenta"];11865 -> 11850[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11865[label="EQ == GT",fontsize=16,color="magenta"];11866[label="False",fontsize=16,color="green",shape="box"];11867[label="primCmpNat (Succ yuz41100) (Succ yuz41600) == GT",fontsize=16,color="black",shape="box"];11867 -> 11919[label="",style="solid", color="black", weight=3]; 25.25/11.43 11868[label="primCmpNat Zero (Succ yuz41600) == GT",fontsize=16,color="black",shape="box"];11868 -> 11920[label="",style="solid", color="black", weight=3]; 25.25/11.43 11869 -> 11776[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11869[label="LT == GT",fontsize=16,color="magenta"];11870 -> 11850[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11870[label="EQ == GT",fontsize=16,color="magenta"];11871 -> 11770[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11871[label="primCmpNat (Succ yuz41100) Zero == GT",fontsize=16,color="magenta"];11871 -> 11921[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11871 -> 11922[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11872 -> 11850[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11872[label="EQ == GT",fontsize=16,color="magenta"];12364[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12364 -> 12388[label="",style="solid", color="black", weight=3]; 25.25/11.43 12365[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12365 -> 12389[label="",style="solid", color="black", weight=3]; 25.25/11.43 12366[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12366 -> 12390[label="",style="solid", color="black", weight=3]; 25.25/11.43 12367[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12367 -> 12391[label="",style="solid", color="black", weight=3]; 25.25/11.43 12368[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12368 -> 12392[label="",style="solid", color="black", weight=3]; 25.25/11.43 12369[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12369 -> 12393[label="",style="solid", color="black", weight=3]; 25.25/11.43 12370[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12370 -> 12394[label="",style="solid", color="black", weight=3]; 25.25/11.43 12371[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12371 -> 12395[label="",style="solid", color="black", weight=3]; 25.25/11.43 12372[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12372 -> 12396[label="",style="solid", color="black", weight=3]; 25.25/11.43 12373[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12373 -> 12397[label="",style="solid", color="black", weight=3]; 25.25/11.43 12374[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12374 -> 12398[label="",style="solid", color="black", weight=3]; 25.25/11.43 12375[label="compare2 yuz416 yuz4140 (yuz416 == yuz4140) == LT",fontsize=16,color="black",shape="box"];12375 -> 12399[label="",style="solid", color="black", weight=3]; 25.25/11.43 10868[label="Succ yuz36800",fontsize=16,color="green",shape="box"];10869[label="primMulNat (Succ (Succ Zero)) (Succ yuz36800)",fontsize=16,color="black",shape="box"];10869 -> 11345[label="",style="solid", color="black", weight=3]; 25.25/11.43 3025 -> 2742[label="",style="dashed", color="red", weight=0]; 25.25/11.43 3025[label="primPlusNat yuz2500 yuz150",fontsize=16,color="magenta"];3025 -> 3090[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 3025 -> 3091[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7531 -> 7672[label="",style="dashed", color="red", weight=0]; 25.25/11.43 7531[label="primPlusInt (Pos (Succ Zero) + FiniteMap.mkBranchLeft_size yuz236 yuz232 yuz321) (FiniteMap.mkBranchRight_size yuz236 yuz232 yuz321)",fontsize=16,color="magenta"];7531 -> 7673[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 8148[label="Pos (primPlusNat yuz32820 yuz16020)",fontsize=16,color="green",shape="box"];8148 -> 10683[label="",style="dashed", color="green", weight=3]; 25.25/11.43 8149[label="primMinusNat yuz32820 yuz16020",fontsize=16,color="burlywood",shape="triangle"];13183[label="yuz32820/Succ yuz328200",fontsize=10,color="white",style="solid",shape="box"];8149 -> 13183[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13183 -> 10684[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13184[label="yuz32820/Zero",fontsize=10,color="white",style="solid",shape="box"];8149 -> 13184[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13184 -> 10685[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 8151 -> 8149[label="",style="dashed", color="red", weight=0]; 25.25/11.43 8151[label="primMinusNat yuz16020 yuz32820",fontsize=16,color="magenta"];8151 -> 10686[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 8151 -> 10687[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 8152[label="Neg (primPlusNat yuz32820 yuz16020)",fontsize=16,color="green",shape="box"];8152 -> 10688[label="",style="dashed", color="green", weight=3]; 25.25/11.43 12376 -> 12245[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12376[label="FiniteMap.mkBalBranch6Size_r yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="magenta"];12377[label="FiniteMap.mkBalBranch6MkBalBranch2 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 otherwise",fontsize=16,color="black",shape="box"];12377 -> 12400[label="",style="solid", color="black", weight=3]; 25.25/11.43 12378[label="FiniteMap.mkBalBranch6MkBalBranch1 yuz2350 yuz2351 yuz454 yuz2354 yuz454 yuz2354 yuz454",fontsize=16,color="burlywood",shape="box"];13185[label="yuz454/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12378 -> 13185[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13185 -> 12401[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13186[label="yuz454/FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544",fontsize=10,color="white",style="solid",shape="box"];12378 -> 13186[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13186 -> 12402[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12387 -> 12415[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12387[label="FiniteMap.mkBalBranch6MkBalBranch01 yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz23540 yuz23541 yuz23542 yuz23543 yuz23544 (FiniteMap.sizeFM yuz23543 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz23544)",fontsize=16,color="magenta"];12387 -> 12416[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11427[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos yuz4010) yuz400 == GT)",fontsize=16,color="burlywood",shape="box"];13187[label="yuz4010/Succ yuz40100",fontsize=10,color="white",style="solid",shape="box"];11427 -> 13187[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13187 -> 11479[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13188[label="yuz4010/Zero",fontsize=10,color="white",style="solid",shape="box"];11427 -> 13188[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13188 -> 11480[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11428[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Neg yuz4010) yuz400 == GT)",fontsize=16,color="burlywood",shape="box"];13189[label="yuz4010/Succ yuz40100",fontsize=10,color="white",style="solid",shape="box"];11428 -> 13189[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13189 -> 11481[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13190[label="yuz4010/Zero",fontsize=10,color="white",style="solid",shape="box"];11428 -> 13190[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13190 -> 11482[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11908[label="False",fontsize=16,color="green",shape="box"];11909[label="compare1 LT EQ True == GT",fontsize=16,color="black",shape="box"];11909 -> 11969[label="",style="solid", color="black", weight=3]; 25.25/11.43 11910[label="compare1 LT GT True == GT",fontsize=16,color="black",shape="box"];11910 -> 11970[label="",style="solid", color="black", weight=3]; 25.25/11.43 11911[label="compare1 EQ LT False == GT",fontsize=16,color="black",shape="box"];11911 -> 11971[label="",style="solid", color="black", weight=3]; 25.25/11.43 11912[label="compare1 EQ GT True == GT",fontsize=16,color="black",shape="box"];11912 -> 11972[label="",style="solid", color="black", weight=3]; 25.25/11.43 11913[label="compare1 GT LT False == GT",fontsize=16,color="black",shape="box"];11913 -> 11973[label="",style="solid", color="black", weight=3]; 25.25/11.43 11914[label="compare1 GT EQ False == GT",fontsize=16,color="black",shape="box"];11914 -> 11974[label="",style="solid", color="black", weight=3]; 25.25/11.43 11915[label="primCmpNat yuz41600 yuz41100 == GT",fontsize=16,color="burlywood",shape="triangle"];13191[label="yuz41600/Succ yuz416000",fontsize=10,color="white",style="solid",shape="box"];11915 -> 13191[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13191 -> 11975[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13192[label="yuz41600/Zero",fontsize=10,color="white",style="solid",shape="box"];11915 -> 13192[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13192 -> 11976[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11916 -> 11771[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11916[label="GT == GT",fontsize=16,color="magenta"];11917[label="yuz41100",fontsize=16,color="green",shape="box"];11918[label="Zero",fontsize=16,color="green",shape="box"];11919 -> 11915[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11919[label="primCmpNat yuz41100 yuz41600 == GT",fontsize=16,color="magenta"];11919 -> 11977[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11919 -> 11978[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11920 -> 11776[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11920[label="LT == GT",fontsize=16,color="magenta"];11921[label="yuz41100",fontsize=16,color="green",shape="box"];11922[label="Zero",fontsize=16,color="green",shape="box"];12388[label="error []",fontsize=16,color="red",shape="box"];12389[label="error []",fontsize=16,color="red",shape="box"];12390[label="error []",fontsize=16,color="red",shape="box"];12391[label="error []",fontsize=16,color="red",shape="box"];12392[label="error []",fontsize=16,color="red",shape="box"];12393[label="error []",fontsize=16,color="red",shape="box"];12394[label="error []",fontsize=16,color="red",shape="box"];12395[label="error []",fontsize=16,color="red",shape="box"];12396[label="error []",fontsize=16,color="red",shape="box"];12397[label="error []",fontsize=16,color="red",shape="box"];12398[label="error []",fontsize=16,color="red",shape="box"];12399[label="error []",fontsize=16,color="red",shape="box"];11345 -> 2742[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11345[label="primPlusNat (primMulNat (Succ Zero) (Succ yuz36800)) (Succ yuz36800)",fontsize=16,color="magenta"];11345 -> 11385[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11345 -> 11386[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 3090[label="yuz150",fontsize=16,color="green",shape="box"];3091[label="yuz2500",fontsize=16,color="green",shape="box"];7673[label="Pos (Succ Zero) + FiniteMap.mkBranchLeft_size yuz236 yuz232 yuz321",fontsize=16,color="black",shape="box"];7673 -> 7804[label="",style="solid", color="black", weight=3]; 25.25/11.43 7672[label="primPlusInt yuz350 (FiniteMap.mkBranchRight_size yuz236 yuz232 yuz321)",fontsize=16,color="burlywood",shape="triangle"];13193[label="yuz350/Pos yuz3500",fontsize=10,color="white",style="solid",shape="box"];7672 -> 13193[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13193 -> 7805[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13194[label="yuz350/Neg yuz3500",fontsize=10,color="white",style="solid",shape="box"];7672 -> 13194[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13194 -> 7806[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 10683 -> 2742[label="",style="dashed", color="red", weight=0]; 25.25/11.43 10683[label="primPlusNat yuz32820 yuz16020",fontsize=16,color="magenta"];10683 -> 10746[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10683 -> 10747[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10684[label="primMinusNat (Succ yuz328200) yuz16020",fontsize=16,color="burlywood",shape="box"];13195[label="yuz16020/Succ yuz160200",fontsize=10,color="white",style="solid",shape="box"];10684 -> 13195[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13195 -> 10748[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13196[label="yuz16020/Zero",fontsize=10,color="white",style="solid",shape="box"];10684 -> 13196[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13196 -> 10749[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 10685[label="primMinusNat Zero yuz16020",fontsize=16,color="burlywood",shape="box"];13197[label="yuz16020/Succ yuz160200",fontsize=10,color="white",style="solid",shape="box"];10685 -> 13197[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13197 -> 10750[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13198[label="yuz16020/Zero",fontsize=10,color="white",style="solid",shape="box"];10685 -> 13198[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13198 -> 10751[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 10686[label="yuz16020",fontsize=16,color="green",shape="box"];10687[label="yuz32820",fontsize=16,color="green",shape="box"];10688 -> 2742[label="",style="dashed", color="red", weight=0]; 25.25/11.43 10688[label="primPlusNat yuz32820 yuz16020",fontsize=16,color="magenta"];10688 -> 10752[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10688 -> 10753[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12400[label="FiniteMap.mkBalBranch6MkBalBranch2 yuz2350 yuz2351 yuz454 yuz2354 yuz2350 yuz2351 yuz454 yuz2354 True",fontsize=16,color="black",shape="box"];12400 -> 12417[label="",style="solid", color="black", weight=3]; 25.25/11.43 12401[label="FiniteMap.mkBalBranch6MkBalBranch1 yuz2350 yuz2351 FiniteMap.EmptyFM yuz2354 FiniteMap.EmptyFM yuz2354 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];12401 -> 12418[label="",style="solid", color="black", weight=3]; 25.25/11.43 12402[label="FiniteMap.mkBalBranch6MkBalBranch1 yuz2350 yuz2351 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544)",fontsize=16,color="black",shape="box"];12402 -> 12419[label="",style="solid", color="black", weight=3]; 25.25/11.43 12416 -> 4214[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12416[label="FiniteMap.sizeFM yuz23543 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz23544",fontsize=16,color="magenta"];12416 -> 12420[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12416 -> 12421[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12415[label="FiniteMap.mkBalBranch6MkBalBranch01 yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz23540 yuz23541 yuz23542 yuz23543 yuz23544 yuz463",fontsize=16,color="burlywood",shape="triangle"];13199[label="yuz463/False",fontsize=10,color="white",style="solid",shape="box"];12415 -> 13199[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13199 -> 12422[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13200[label="yuz463/True",fontsize=10,color="white",style="solid",shape="box"];12415 -> 13200[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13200 -> 12423[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11479[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos (Succ yuz40100)) yuz400 == GT)",fontsize=16,color="burlywood",shape="box"];13201[label="yuz400/Pos yuz4000",fontsize=10,color="white",style="solid",shape="box"];11479 -> 13201[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13201 -> 11532[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13202[label="yuz400/Neg yuz4000",fontsize=10,color="white",style="solid",shape="box"];11479 -> 13202[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13202 -> 11533[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11480[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos Zero) yuz400 == GT)",fontsize=16,color="burlywood",shape="box"];13203[label="yuz400/Pos yuz4000",fontsize=10,color="white",style="solid",shape="box"];11480 -> 13203[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13203 -> 11534[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13204[label="yuz400/Neg yuz4000",fontsize=10,color="white",style="solid",shape="box"];11480 -> 13204[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13204 -> 11535[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11481[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Neg (Succ yuz40100)) yuz400 == GT)",fontsize=16,color="burlywood",shape="box"];13205[label="yuz400/Pos yuz4000",fontsize=10,color="white",style="solid",shape="box"];11481 -> 13205[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13205 -> 11536[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13206[label="yuz400/Neg yuz4000",fontsize=10,color="white",style="solid",shape="box"];11481 -> 13206[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13206 -> 11537[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11482[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Neg Zero) yuz400 == GT)",fontsize=16,color="burlywood",shape="box"];13207[label="yuz400/Pos yuz4000",fontsize=10,color="white",style="solid",shape="box"];11482 -> 13207[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13207 -> 11538[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13208[label="yuz400/Neg yuz4000",fontsize=10,color="white",style="solid",shape="box"];11482 -> 13208[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13208 -> 11539[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11969 -> 11776[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11969[label="LT == GT",fontsize=16,color="magenta"];11970 -> 11776[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11970[label="LT == GT",fontsize=16,color="magenta"];11971[label="compare0 EQ LT otherwise == GT",fontsize=16,color="black",shape="box"];11971 -> 12005[label="",style="solid", color="black", weight=3]; 25.25/11.43 11972 -> 11776[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11972[label="LT == GT",fontsize=16,color="magenta"];11973[label="compare0 GT LT otherwise == GT",fontsize=16,color="black",shape="box"];11973 -> 12006[label="",style="solid", color="black", weight=3]; 25.25/11.43 11974[label="compare0 GT EQ otherwise == GT",fontsize=16,color="black",shape="box"];11974 -> 12007[label="",style="solid", color="black", weight=3]; 25.25/11.43 11975[label="primCmpNat (Succ yuz416000) yuz41100 == GT",fontsize=16,color="burlywood",shape="box"];13209[label="yuz41100/Succ yuz411000",fontsize=10,color="white",style="solid",shape="box"];11975 -> 13209[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13209 -> 12008[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13210[label="yuz41100/Zero",fontsize=10,color="white",style="solid",shape="box"];11975 -> 13210[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13210 -> 12009[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11976[label="primCmpNat Zero yuz41100 == GT",fontsize=16,color="burlywood",shape="box"];13211[label="yuz41100/Succ yuz411000",fontsize=10,color="white",style="solid",shape="box"];11976 -> 13211[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13211 -> 12010[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13212[label="yuz41100/Zero",fontsize=10,color="white",style="solid",shape="box"];11976 -> 13212[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13212 -> 12011[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11977[label="yuz41600",fontsize=16,color="green",shape="box"];11978[label="yuz41100",fontsize=16,color="green",shape="box"];11385[label="Succ yuz36800",fontsize=16,color="green",shape="box"];11386[label="primMulNat (Succ Zero) (Succ yuz36800)",fontsize=16,color="black",shape="triangle"];11386 -> 11441[label="",style="solid", color="black", weight=3]; 25.25/11.43 7804[label="primPlusInt (Pos (Succ Zero)) (FiniteMap.mkBranchLeft_size yuz236 yuz232 yuz321)",fontsize=16,color="black",shape="box"];7804 -> 7849[label="",style="solid", color="black", weight=3]; 25.25/11.43 7805[label="primPlusInt (Pos yuz3500) (FiniteMap.mkBranchRight_size yuz236 yuz232 yuz321)",fontsize=16,color="black",shape="box"];7805 -> 7850[label="",style="solid", color="black", weight=3]; 25.25/11.43 7806[label="primPlusInt (Neg yuz3500) (FiniteMap.mkBranchRight_size yuz236 yuz232 yuz321)",fontsize=16,color="black",shape="box"];7806 -> 7851[label="",style="solid", color="black", weight=3]; 25.25/11.43 10746[label="yuz16020",fontsize=16,color="green",shape="box"];10747[label="yuz32820",fontsize=16,color="green",shape="box"];10748[label="primMinusNat (Succ yuz328200) (Succ yuz160200)",fontsize=16,color="black",shape="box"];10748 -> 10796[label="",style="solid", color="black", weight=3]; 25.25/11.43 10749[label="primMinusNat (Succ yuz328200) Zero",fontsize=16,color="black",shape="box"];10749 -> 10797[label="",style="solid", color="black", weight=3]; 25.25/11.43 10750[label="primMinusNat Zero (Succ yuz160200)",fontsize=16,color="black",shape="box"];10750 -> 10798[label="",style="solid", color="black", weight=3]; 25.25/11.43 10751[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];10751 -> 10799[label="",style="solid", color="black", weight=3]; 25.25/11.43 10752[label="yuz16020",fontsize=16,color="green",shape="box"];10753[label="yuz32820",fontsize=16,color="green",shape="box"];12417[label="FiniteMap.mkBranch (Pos (Succ (Succ Zero))) yuz2350 yuz2351 yuz454 yuz2354",fontsize=16,color="black",shape="box"];12417 -> 12432[label="",style="solid", color="black", weight=3]; 25.25/11.43 12418[label="error []",fontsize=16,color="red",shape="box"];12419[label="FiniteMap.mkBalBranch6MkBalBranch12 yuz2350 yuz2351 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544)",fontsize=16,color="black",shape="box"];12419 -> 12433[label="",style="solid", color="black", weight=3]; 25.25/11.43 12420 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12420[label="FiniteMap.sizeFM yuz23543",fontsize=16,color="magenta"];12420 -> 12434[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12421 -> 12435[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12421[label="Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz23544",fontsize=16,color="magenta"];12421 -> 12436[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12422[label="FiniteMap.mkBalBranch6MkBalBranch01 yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz23540 yuz23541 yuz23542 yuz23543 yuz23544 False",fontsize=16,color="black",shape="box"];12422 -> 12437[label="",style="solid", color="black", weight=3]; 25.25/11.43 12423[label="FiniteMap.mkBalBranch6MkBalBranch01 yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz23540 yuz23541 yuz23542 yuz23543 yuz23544 True",fontsize=16,color="black",shape="box"];12423 -> 12438[label="",style="solid", color="black", weight=3]; 25.25/11.43 11532[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos (Succ yuz40100)) (Pos yuz4000) == GT)",fontsize=16,color="black",shape="box"];11532 -> 11654[label="",style="solid", color="black", weight=3]; 25.25/11.43 11533[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos (Succ yuz40100)) (Neg yuz4000) == GT)",fontsize=16,color="black",shape="box"];11533 -> 11655[label="",style="solid", color="black", weight=3]; 25.25/11.43 11534[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos Zero) (Pos yuz4000) == GT)",fontsize=16,color="burlywood",shape="box"];13213[label="yuz4000/Succ yuz40000",fontsize=10,color="white",style="solid",shape="box"];11534 -> 13213[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13213 -> 11656[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13214[label="yuz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];11534 -> 13214[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13214 -> 11657[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11535[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos Zero) (Neg yuz4000) == GT)",fontsize=16,color="burlywood",shape="box"];13215[label="yuz4000/Succ yuz40000",fontsize=10,color="white",style="solid",shape="box"];11535 -> 13215[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13215 -> 11658[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13216[label="yuz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];11535 -> 13216[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13216 -> 11659[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11536[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Neg (Succ yuz40100)) (Pos yuz4000) == GT)",fontsize=16,color="black",shape="box"];11536 -> 11660[label="",style="solid", color="black", weight=3]; 25.25/11.43 11537[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Neg (Succ yuz40100)) (Neg yuz4000) == GT)",fontsize=16,color="black",shape="box"];11537 -> 11661[label="",style="solid", color="black", weight=3]; 25.25/11.43 11538[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Neg Zero) (Pos yuz4000) == GT)",fontsize=16,color="burlywood",shape="box"];13217[label="yuz4000/Succ yuz40000",fontsize=10,color="white",style="solid",shape="box"];11538 -> 13217[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13217 -> 11662[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13218[label="yuz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];11538 -> 13218[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13218 -> 11663[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11539[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Neg Zero) (Neg yuz4000) == GT)",fontsize=16,color="burlywood",shape="box"];13219[label="yuz4000/Succ yuz40000",fontsize=10,color="white",style="solid",shape="box"];11539 -> 13219[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13219 -> 11664[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13220[label="yuz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];11539 -> 13220[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13220 -> 11665[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12005[label="compare0 EQ LT True == GT",fontsize=16,color="black",shape="box"];12005 -> 12038[label="",style="solid", color="black", weight=3]; 25.25/11.43 12006[label="compare0 GT LT True == GT",fontsize=16,color="black",shape="box"];12006 -> 12039[label="",style="solid", color="black", weight=3]; 25.25/11.43 12007[label="compare0 GT EQ True == GT",fontsize=16,color="black",shape="box"];12007 -> 12040[label="",style="solid", color="black", weight=3]; 25.25/11.43 12008[label="primCmpNat (Succ yuz416000) (Succ yuz411000) == GT",fontsize=16,color="black",shape="box"];12008 -> 12041[label="",style="solid", color="black", weight=3]; 25.25/11.43 12009[label="primCmpNat (Succ yuz416000) Zero == GT",fontsize=16,color="black",shape="box"];12009 -> 12042[label="",style="solid", color="black", weight=3]; 25.25/11.43 12010[label="primCmpNat Zero (Succ yuz411000) == GT",fontsize=16,color="black",shape="box"];12010 -> 12043[label="",style="solid", color="black", weight=3]; 25.25/11.43 12011[label="primCmpNat Zero Zero == GT",fontsize=16,color="black",shape="box"];12011 -> 12044[label="",style="solid", color="black", weight=3]; 25.25/11.43 11441 -> 2742[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11441[label="primPlusNat (primMulNat Zero (Succ yuz36800)) (Succ yuz36800)",fontsize=16,color="magenta"];11441 -> 11495[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11441 -> 11496[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7849 -> 7811[label="",style="dashed", color="red", weight=0]; 25.25/11.43 7849[label="primPlusInt (Pos (Succ Zero)) (FiniteMap.sizeFM yuz321)",fontsize=16,color="magenta"];7849 -> 8136[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7849 -> 8137[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7850 -> 7811[label="",style="dashed", color="red", weight=0]; 25.25/11.43 7850[label="primPlusInt (Pos yuz3500) (FiniteMap.sizeFM yuz236)",fontsize=16,color="magenta"];7850 -> 8138[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7850 -> 8139[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7851 -> 7813[label="",style="dashed", color="red", weight=0]; 25.25/11.43 7851[label="primPlusInt (Neg yuz3500) (FiniteMap.sizeFM yuz236)",fontsize=16,color="magenta"];7851 -> 8140[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 7851 -> 8141[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10796 -> 8149[label="",style="dashed", color="red", weight=0]; 25.25/11.43 10796[label="primMinusNat yuz328200 yuz160200",fontsize=16,color="magenta"];10796 -> 10839[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10796 -> 10840[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10797[label="Pos (Succ yuz328200)",fontsize=16,color="green",shape="box"];10798[label="Neg (Succ yuz160200)",fontsize=16,color="green",shape="box"];10799[label="Pos Zero",fontsize=16,color="green",shape="box"];12432 -> 6849[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12432[label="FiniteMap.mkBranchResult yuz2350 yuz2351 yuz2354 yuz454",fontsize=16,color="magenta"];12432 -> 12439[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12432 -> 12440[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12432 -> 12441[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12432 -> 12442[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12433 -> 12443[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12433[label="FiniteMap.mkBalBranch6MkBalBranch11 yuz2350 yuz2351 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 yuz4540 yuz4541 yuz4542 yuz4543 yuz4544 (FiniteMap.sizeFM yuz4544 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz4543)",fontsize=16,color="magenta"];12433 -> 12444[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12434[label="yuz23543",fontsize=16,color="green",shape="box"];12436 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12436[label="FiniteMap.sizeFM yuz23544",fontsize=16,color="magenta"];12436 -> 12445[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12435[label="Pos (Succ (Succ Zero)) * yuz466",fontsize=16,color="black",shape="triangle"];12435 -> 12446[label="",style="solid", color="black", weight=3]; 25.25/11.43 12437[label="FiniteMap.mkBalBranch6MkBalBranch00 yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz23540 yuz23541 yuz23542 yuz23543 yuz23544 otherwise",fontsize=16,color="black",shape="box"];12437 -> 12447[label="",style="solid", color="black", weight=3]; 25.25/11.43 12438[label="FiniteMap.mkBalBranch6Single_L yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544)",fontsize=16,color="black",shape="box"];12438 -> 12448[label="",style="solid", color="black", weight=3]; 25.25/11.43 11654[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat (Succ yuz40100) yuz4000 == GT)",fontsize=16,color="burlywood",shape="triangle"];13221[label="yuz4000/Succ yuz40000",fontsize=10,color="white",style="solid",shape="box"];11654 -> 13221[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13221 -> 11708[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13222[label="yuz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];11654 -> 13222[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13222 -> 11709[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11655[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (GT == GT)",fontsize=16,color="black",shape="triangle"];11655 -> 11710[label="",style="solid", color="black", weight=3]; 25.25/11.43 11656[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos Zero) (Pos (Succ yuz40000)) == GT)",fontsize=16,color="black",shape="box"];11656 -> 11711[label="",style="solid", color="black", weight=3]; 25.25/11.43 11657[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos Zero) (Pos Zero) == GT)",fontsize=16,color="black",shape="box"];11657 -> 11712[label="",style="solid", color="black", weight=3]; 25.25/11.43 11658[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos Zero) (Neg (Succ yuz40000)) == GT)",fontsize=16,color="black",shape="box"];11658 -> 11713[label="",style="solid", color="black", weight=3]; 25.25/11.43 11659[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Pos Zero) (Neg Zero) == GT)",fontsize=16,color="black",shape="box"];11659 -> 11714[label="",style="solid", color="black", weight=3]; 25.25/11.43 11660[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (LT == GT)",fontsize=16,color="black",shape="triangle"];11660 -> 11715[label="",style="solid", color="black", weight=3]; 25.25/11.43 11661[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat yuz4000 (Succ yuz40100) == GT)",fontsize=16,color="burlywood",shape="triangle"];13223[label="yuz4000/Succ yuz40000",fontsize=10,color="white",style="solid",shape="box"];11661 -> 13223[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13223 -> 11716[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13224[label="yuz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];11661 -> 13224[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13224 -> 11717[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11662[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Neg Zero) (Pos (Succ yuz40000)) == GT)",fontsize=16,color="black",shape="box"];11662 -> 11718[label="",style="solid", color="black", weight=3]; 25.25/11.43 11663[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Neg Zero) (Pos Zero) == GT)",fontsize=16,color="black",shape="box"];11663 -> 11719[label="",style="solid", color="black", weight=3]; 25.25/11.43 11664[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpInt (Neg Zero) (Neg (Succ yuz40000)) == 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weight=0]; 25.25/11.43 12041[label="primCmpNat yuz416000 yuz411000 == GT",fontsize=16,color="magenta"];12041 -> 12094[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12041 -> 12095[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12042 -> 11771[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12042[label="GT == GT",fontsize=16,color="magenta"];12043 -> 11776[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12043[label="LT == GT",fontsize=16,color="magenta"];12044 -> 11850[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12044[label="EQ == GT",fontsize=16,color="magenta"];11495[label="Succ yuz36800",fontsize=16,color="green",shape="box"];11496[label="primMulNat Zero (Succ yuz36800)",fontsize=16,color="black",shape="box"];11496 -> 11552[label="",style="solid", color="black", weight=3]; 25.25/11.43 8136[label="Succ Zero",fontsize=16,color="green",shape="box"];8137 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 8137[label="FiniteMap.sizeFM yuz321",fontsize=16,color="magenta"];8137 -> 10666[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 8138[label="yuz3500",fontsize=16,color="green",shape="box"];8139 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 8139[label="FiniteMap.sizeFM yuz236",fontsize=16,color="magenta"];8139 -> 10667[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 8140[label="yuz3500",fontsize=16,color="green",shape="box"];8141 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 8141[label="FiniteMap.sizeFM yuz236",fontsize=16,color="magenta"];8141 -> 10668[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 10839[label="yuz328200",fontsize=16,color="green",shape="box"];10840[label="yuz160200",fontsize=16,color="green",shape="box"];12439[label="yuz2354",fontsize=16,color="green",shape="box"];12440[label="yuz454",fontsize=16,color="green",shape="box"];12441[label="yuz2350",fontsize=16,color="green",shape="box"];12442[label="yuz2351",fontsize=16,color="green",shape="box"];12444 -> 4214[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12444[label="FiniteMap.sizeFM yuz4544 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM yuz4543",fontsize=16,color="magenta"];12444 -> 12449[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12444 -> 12450[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12443[label="FiniteMap.mkBalBranch6MkBalBranch11 yuz2350 yuz2351 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 yuz4540 yuz4541 yuz4542 yuz4543 yuz4544 yuz467",fontsize=16,color="burlywood",shape="triangle"];13225[label="yuz467/False",fontsize=10,color="white",style="solid",shape="box"];12443 -> 13225[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13225 -> 12451[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13226[label="yuz467/True",fontsize=10,color="white",style="solid",shape="box"];12443 -> 13226[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13226 -> 12452[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12445[label="yuz23544",fontsize=16,color="green",shape="box"];12446[label="primMulInt (Pos (Succ (Succ Zero))) yuz466",fontsize=16,color="burlywood",shape="box"];13227[label="yuz466/Pos yuz4660",fontsize=10,color="white",style="solid",shape="box"];12446 -> 13227[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13227 -> 12465[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13228[label="yuz466/Neg yuz4660",fontsize=10,color="white",style="solid",shape="box"];12446 -> 13228[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13228 -> 12466[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12447[label="FiniteMap.mkBalBranch6MkBalBranch00 yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz23540 yuz23541 yuz23542 yuz23543 yuz23544 True",fontsize=16,color="black",shape="box"];12447 -> 12467[label="",style="solid", color="black", weight=3]; 25.25/11.43 12448[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ Zero)))) yuz23540 yuz23541 (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) yuz2350 yuz2351 yuz454 yuz23543) yuz23544",fontsize=16,color="black",shape="box"];12448 -> 12468[label="",style="solid", color="black", weight=3]; 25.25/11.43 11708[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat (Succ yuz40100) (Succ yuz40000) == GT)",fontsize=16,color="black",shape="box"];11708 -> 11782[label="",style="solid", color="black", weight=3]; 25.25/11.43 11709[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat (Succ yuz40100) Zero == GT)",fontsize=16,color="black",shape="box"];11709 -> 11783[label="",style="solid", color="black", weight=3]; 25.25/11.43 11710[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) 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12467[label="FiniteMap.mkBalBranch6Double_L yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 yuz23543 yuz23544)",fontsize=16,color="burlywood",shape="box"];13229[label="yuz23543/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12467 -> 13229[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13229 -> 12483[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13230[label="yuz23543/FiniteMap.Branch yuz235430 yuz235431 yuz235432 yuz235433 yuz235434",fontsize=10,color="white",style="solid",shape="box"];12467 -> 13230[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13230 -> 12484[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12468 -> 6849[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12468[label="FiniteMap.mkBranchResult yuz23540 yuz23541 yuz23544 (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ 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25.25/11.43 13232[label="yuz40100/Zero",fontsize=10,color="white",style="solid",shape="box"];11782 -> 13232[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13232 -> 11874[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11783 -> 11655[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11783[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (GT == GT)",fontsize=16,color="magenta"];11784 -> 12049[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11784[label="FiniteMap.mkBalBranch (FiniteMap.glueBal2Mid_key2 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)) (FiniteMap.glueBal2Mid_elt2 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.deleteMin (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354))",fontsize=16,color="magenta"];11784 -> 12071[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11784 -> 12072[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11784 -> 12073[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11784 -> 12074[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11785[label="yuz40000",fontsize=16,color="green",shape="box"];11786[label="Zero",fontsize=16,color="green",shape="box"];11787 -> 11715[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11787[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) False",fontsize=16,color="magenta"];11788[label="FiniteMap.glueBal2GlueBal0 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) otherwise",fontsize=16,color="black",shape="box"];11788 -> 11876[label="",style="solid", color="black", weight=3]; 25.25/11.43 11789 -> 11782[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11789[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat yuz40000 yuz40100 == GT)",fontsize=16,color="magenta"];11789 -> 11877[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11789 -> 11878[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11790 -> 11660[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11790[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (LT == GT)",fontsize=16,color="magenta"];11791[label="yuz40000",fontsize=16,color="green",shape="box"];11792[label="Zero",fontsize=16,color="green",shape="box"];12469[label="yuz4544",fontsize=16,color="green",shape="box"];12470 -> 9550[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12470[label="FiniteMap.sizeFM yuz4543",fontsize=16,color="magenta"];12470 -> 12489[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12471[label="FiniteMap.mkBalBranch6MkBalBranch10 yuz2350 yuz2351 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 yuz4540 yuz4541 yuz4542 yuz4543 yuz4544 otherwise",fontsize=16,color="black",shape="box"];12471 -> 12490[label="",style="solid", color="black", weight=3]; 25.25/11.43 12472[label="FiniteMap.mkBalBranch6Single_R yuz2350 yuz2351 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354",fontsize=16,color="black",shape="box"];12472 -> 12491[label="",style="solid", color="black", weight=3]; 25.25/11.43 12481[label="Pos (primMulNat (Succ (Succ Zero)) yuz4660)",fontsize=16,color="green",shape="box"];12481 -> 12584[label="",style="dashed", color="green", weight=3]; 25.25/11.43 12482[label="Neg (primMulNat (Succ (Succ Zero)) yuz4660)",fontsize=16,color="green",shape="box"];12482 -> 12585[label="",style="dashed", color="green", weight=3]; 25.25/11.43 12483[label="FiniteMap.mkBalBranch6Double_L yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 FiniteMap.EmptyFM yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 FiniteMap.EmptyFM yuz23544)",fontsize=16,color="black",shape="box"];12483 -> 12586[label="",style="solid", color="black", weight=3]; 25.25/11.43 12484[label="FiniteMap.mkBalBranch6Double_L yuz2350 yuz2351 yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 (FiniteMap.Branch yuz235430 yuz235431 yuz235432 yuz235433 yuz235434) yuz23544) yuz454 (FiniteMap.Branch yuz23540 yuz23541 yuz23542 (FiniteMap.Branch yuz235430 yuz235431 yuz235432 yuz235433 yuz235434) yuz23544)",fontsize=16,color="black",shape="box"];12484 -> 12587[label="",style="solid", color="black", weight=3]; 25.25/11.43 12485[label="yuz23544",fontsize=16,color="green",shape="box"];12486[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) yuz2350 yuz2351 yuz454 yuz23543",fontsize=16,color="black",shape="box"];12486 -> 12588[label="",style="solid", color="black", weight=3]; 25.25/11.43 12487[label="yuz23540",fontsize=16,color="green",shape="box"];12488[label="yuz23541",fontsize=16,color="green",shape="box"];11873[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat (Succ yuz401000) yuz40000 == GT)",fontsize=16,color="burlywood",shape="box"];13233[label="yuz40000/Succ yuz400000",fontsize=10,color="white",style="solid",shape="box"];11873 -> 13233[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13233 -> 11923[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13234[label="yuz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];11873 -> 13234[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13234 -> 11924[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11874[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat Zero yuz40000 == GT)",fontsize=16,color="burlywood",shape="box"];13235[label="yuz40000/Succ yuz400000",fontsize=10,color="white",style="solid",shape="box"];11874 -> 13235[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13235 -> 11925[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13236[label="yuz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];11874 -> 13236[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13236 -> 11926[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12071[label="FiniteMap.glueBal2Mid_elt2 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)",fontsize=16,color="black",shape="box"];12071 -> 12096[label="",style="solid", color="black", weight=3]; 25.25/11.43 12072[label="FiniteMap.glueBal2Mid_key2 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)",fontsize=16,color="black",shape="box"];12072 -> 12097[label="",style="solid", color="black", weight=3]; 25.25/11.43 12073[label="FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414",fontsize=16,color="green",shape="box"];12074[label="FiniteMap.deleteMin (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="burlywood",shape="triangle"];13237[label="yuz2353/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12074 -> 13237[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13237 -> 12098[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13238[label="yuz2353/FiniteMap.Branch yuz23530 yuz23531 yuz23532 yuz23533 yuz23534",fontsize=10,color="white",style="solid",shape="box"];12074 -> 13238[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13238 -> 12099[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 11876[label="FiniteMap.glueBal2GlueBal0 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) True",fontsize=16,color="black",shape="box"];11876 -> 11931[label="",style="solid", color="black", weight=3]; 25.25/11.43 11877[label="yuz40100",fontsize=16,color="green",shape="box"];11878[label="yuz40000",fontsize=16,color="green",shape="box"];12489[label="yuz4543",fontsize=16,color="green",shape="box"];12490[label="FiniteMap.mkBalBranch6MkBalBranch10 yuz2350 yuz2351 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 yuz4540 yuz4541 yuz4542 yuz4543 yuz4544 True",fontsize=16,color="black",shape="box"];12490 -> 12589[label="",style="solid", color="black", weight=3]; 25.25/11.43 12491 -> 12620[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12491[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))) yuz4540 yuz4541 yuz4543 (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))) yuz2350 yuz2351 yuz4544 yuz2354)",fontsize=16,color="magenta"];12491 -> 12621[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12491 -> 12622[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12491 -> 12623[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12491 -> 12624[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12491 -> 12625[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12491 -> 12626[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12491 -> 12627[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12491 -> 12628[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12491 -> 12629[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12584[label="primMulNat (Succ (Succ Zero)) yuz4660",fontsize=16,color="burlywood",shape="triangle"];13239[label="yuz4660/Succ yuz46600",fontsize=10,color="white",style="solid",shape="box"];12584 -> 13239[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13239 -> 12599[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13240[label="yuz4660/Zero",fontsize=10,color="white",style="solid",shape="box"];12584 -> 13240[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13240 -> 12600[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12585 -> 12584[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12585[label="primMulNat (Succ (Succ Zero)) yuz4660",fontsize=16,color="magenta"];12585 -> 12601[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12586[label="error []",fontsize=16,color="red",shape="box"];12587 -> 12620[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12587[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) yuz235430 yuz235431 (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))) yuz2350 yuz2351 yuz454 yuz235433) (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))) yuz23540 yuz23541 yuz235434 yuz23544)",fontsize=16,color="magenta"];12587 -> 12630[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12587 -> 12631[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12587 -> 12632[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12587 -> 12633[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12587 -> 12634[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12587 -> 12635[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12587 -> 12636[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12587 -> 12637[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12587 -> 12638[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12588 -> 6849[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12588[label="FiniteMap.mkBranchResult yuz2350 yuz2351 yuz23543 yuz454",fontsize=16,color="magenta"];12588 -> 12614[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12588 -> 12615[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12588 -> 12616[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12588 -> 12617[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11923[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat (Succ yuz401000) (Succ yuz400000) == GT)",fontsize=16,color="black",shape="box"];11923 -> 11979[label="",style="solid", color="black", weight=3]; 25.25/11.43 11924[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat (Succ yuz401000) Zero == GT)",fontsize=16,color="black",shape="box"];11924 -> 11980[label="",style="solid", color="black", weight=3]; 25.25/11.43 11925[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat Zero (Succ yuz400000) == GT)",fontsize=16,color="black",shape="box"];11925 -> 11981[label="",style="solid", color="black", weight=3]; 25.25/11.43 11926[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat Zero Zero == GT)",fontsize=16,color="black",shape="box"];11926 -> 11982[label="",style="solid", color="black", weight=3]; 25.25/11.43 12096[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.glueBal2Vv3 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414))",fontsize=16,color="black",shape="box"];12096 -> 12115[label="",style="solid", color="black", weight=3]; 25.25/11.43 12097[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.glueBal2Vv3 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414))",fontsize=16,color="black",shape="box"];12097 -> 12116[label="",style="solid", color="black", weight=3]; 25.25/11.43 12098[label="FiniteMap.deleteMin (FiniteMap.Branch yuz2350 yuz2351 yuz2352 FiniteMap.EmptyFM yuz2354)",fontsize=16,color="black",shape="box"];12098 -> 12117[label="",style="solid", color="black", weight=3]; 25.25/11.43 12099[label="FiniteMap.deleteMin (FiniteMap.Branch yuz2350 yuz2351 yuz2352 (FiniteMap.Branch yuz23530 yuz23531 yuz23532 yuz23533 yuz23534) yuz2354)",fontsize=16,color="black",shape="box"];12099 -> 12118[label="",style="solid", color="black", weight=3]; 25.25/11.43 11931 -> 12049[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11931[label="FiniteMap.mkBalBranch (FiniteMap.glueBal2Mid_key1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)) (FiniteMap.glueBal2Mid_elt1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)) (FiniteMap.deleteMax (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354)",fontsize=16,color="magenta"];11931 -> 12075[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11931 -> 12076[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11931 -> 12077[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11931 -> 12078[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12589[label="FiniteMap.mkBalBranch6Double_R yuz2350 yuz2351 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 yuz4544) yuz2354",fontsize=16,color="burlywood",shape="box"];13241[label="yuz4544/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12589 -> 13241[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13241 -> 12618[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13242[label="yuz4544/FiniteMap.Branch yuz45440 yuz45441 yuz45442 yuz45443 yuz45444",fontsize=10,color="white",style="solid",shape="box"];12589 -> 13242[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13242 -> 12619[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12621[label="yuz2351",fontsize=16,color="green",shape="box"];12622[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))",fontsize=16,color="green",shape="box"];12623[label="yuz2350",fontsize=16,color="green",shape="box"];12624[label="yuz4543",fontsize=16,color="green",shape="box"];12625[label="yuz4540",fontsize=16,color="green",shape="box"];12626[label="yuz4541",fontsize=16,color="green",shape="box"];12627[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))",fontsize=16,color="green",shape="box"];12628[label="yuz4544",fontsize=16,color="green",shape="box"];12629[label="yuz2354",fontsize=16,color="green",shape="box"];12620[label="FiniteMap.mkBranch (Pos (Succ yuz509)) yuz510 yuz511 yuz512 (FiniteMap.mkBranch (Pos (Succ yuz513)) yuz514 yuz515 yuz516 yuz517)",fontsize=16,color="black",shape="triangle"];12620 -> 12657[label="",style="solid", color="black", weight=3]; 25.25/11.43 12599[label="primMulNat (Succ (Succ Zero)) (Succ yuz46600)",fontsize=16,color="black",shape="box"];12599 -> 12658[label="",style="solid", color="black", weight=3]; 25.25/11.43 12600[label="primMulNat (Succ (Succ Zero)) Zero",fontsize=16,color="black",shape="box"];12600 -> 12659[label="",style="solid", color="black", weight=3]; 25.25/11.43 12601[label="yuz4660",fontsize=16,color="green",shape="box"];12630[label="yuz23541",fontsize=16,color="green",shape="box"];12631[label="Succ (Succ (Succ (Succ Zero)))",fontsize=16,color="green",shape="box"];12632[label="yuz23540",fontsize=16,color="green",shape="box"];12633[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))) yuz2350 yuz2351 yuz454 yuz235433",fontsize=16,color="black",shape="box"];12633 -> 12660[label="",style="solid", color="black", weight=3]; 25.25/11.43 12634[label="yuz235430",fontsize=16,color="green",shape="box"];12635[label="yuz235431",fontsize=16,color="green",shape="box"];12636[label="Succ (Succ (Succ (Succ (Succ (Succ Zero)))))",fontsize=16,color="green",shape="box"];12637[label="yuz235434",fontsize=16,color="green",shape="box"];12638[label="yuz23544",fontsize=16,color="green",shape="box"];12614[label="yuz23543",fontsize=16,color="green",shape="box"];12615[label="yuz454",fontsize=16,color="green",shape="box"];12616[label="yuz2350",fontsize=16,color="green",shape="box"];12617[label="yuz2351",fontsize=16,color="green",shape="box"];11979 -> 11782[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11979[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (primCmpNat yuz401000 yuz400000 == GT)",fontsize=16,color="magenta"];11979 -> 12012[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11979 -> 12013[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 11980 -> 11655[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11980[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (GT == GT)",fontsize=16,color="magenta"];11981 -> 11660[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11981[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (LT == GT)",fontsize=16,color="magenta"];11982 -> 11712[label="",style="dashed", color="red", weight=0]; 25.25/11.43 11982[label="FiniteMap.glueBal2GlueBal1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (EQ == GT)",fontsize=16,color="magenta"];12115 -> 12493[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12115[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.findMin (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354))",fontsize=16,color="magenta"];12115 -> 12494[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12495[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12496[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12497[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12498[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12499[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12500[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12501[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12502[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12503[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12504[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12505[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12506[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12507[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12115 -> 12508[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12666[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12116[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.findMin (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354))",fontsize=16,color="magenta"];12116 -> 12667[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12668[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12669[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12670[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12671[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12672[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12673[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12674[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12675[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12676[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12677[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12678[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12679[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12680[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12116 -> 12681[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12117[label="yuz2354",fontsize=16,color="green",shape="box"];12118 -> 12049[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12118[label="FiniteMap.mkBalBranch yuz2350 yuz2351 (FiniteMap.deleteMin (FiniteMap.Branch yuz23530 yuz23531 yuz23532 yuz23533 yuz23534)) yuz2354",fontsize=16,color="magenta"];12118 -> 12168[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12075[label="FiniteMap.glueBal2Mid_elt1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)",fontsize=16,color="black",shape="box"];12075 -> 12100[label="",style="solid", color="black", weight=3]; 25.25/11.43 12076[label="FiniteMap.glueBal2Mid_key1 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)",fontsize=16,color="black",shape="box"];12076 -> 12101[label="",style="solid", color="black", weight=3]; 25.25/11.43 12077[label="FiniteMap.deleteMax (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414)",fontsize=16,color="burlywood",shape="triangle"];13243[label="yuz2414/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12077 -> 13243[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13243 -> 12102[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13244[label="yuz2414/FiniteMap.Branch yuz24140 yuz24141 yuz24142 yuz24143 yuz24144",fontsize=10,color="white",style="solid",shape="box"];12077 -> 13244[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13244 -> 12103[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12078[label="FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354",fontsize=16,color="green",shape="box"];12618[label="FiniteMap.mkBalBranch6Double_R yuz2350 yuz2351 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 FiniteMap.EmptyFM) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 FiniteMap.EmptyFM) yuz2354",fontsize=16,color="black",shape="box"];12618 -> 12661[label="",style="solid", color="black", weight=3]; 25.25/11.43 12619[label="FiniteMap.mkBalBranch6Double_R yuz2350 yuz2351 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 (FiniteMap.Branch yuz45440 yuz45441 yuz45442 yuz45443 yuz45444)) yuz2354 (FiniteMap.Branch yuz4540 yuz4541 yuz4542 yuz4543 (FiniteMap.Branch yuz45440 yuz45441 yuz45442 yuz45443 yuz45444)) yuz2354",fontsize=16,color="black",shape="box"];12619 -> 12662[label="",style="solid", color="black", weight=3]; 25.25/11.43 12657 -> 6849[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12657[label="FiniteMap.mkBranchResult yuz510 yuz511 (FiniteMap.mkBranch (Pos (Succ yuz513)) yuz514 yuz515 yuz516 yuz517) yuz512",fontsize=16,color="magenta"];12657 -> 12757[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12657 -> 12758[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12657 -> 12759[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12657 -> 12760[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12658 -> 2742[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12658[label="primPlusNat (primMulNat (Succ Zero) (Succ yuz46600)) (Succ yuz46600)",fontsize=16,color="magenta"];12658 -> 12761[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12658 -> 12762[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12659[label="Zero",fontsize=16,color="green",shape="box"];12660 -> 6849[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12660[label="FiniteMap.mkBranchResult yuz2350 yuz2351 yuz235433 yuz454",fontsize=16,color="magenta"];12660 -> 12763[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12660 -> 12764[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12660 -> 12765[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12660 -> 12766[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12012[label="yuz400000",fontsize=16,color="green",shape="box"];12013[label="yuz401000",fontsize=16,color="green",shape="box"];12494[label="yuz2351",fontsize=16,color="green",shape="box"];12495[label="yuz2410",fontsize=16,color="green",shape="box"];12496[label="yuz2411",fontsize=16,color="green",shape="box"];12497[label="yuz2351",fontsize=16,color="green",shape="box"];12498[label="yuz2354",fontsize=16,color="green",shape="box"];12499[label="yuz2354",fontsize=16,color="green",shape="box"];12500[label="yuz2350",fontsize=16,color="green",shape="box"];12501[label="yuz2352",fontsize=16,color="green",shape="box"];12502[label="yuz2412",fontsize=16,color="green",shape="box"];12503[label="yuz2353",fontsize=16,color="green",shape="box"];12504[label="yuz2413",fontsize=16,color="green",shape="box"];12505[label="yuz2353",fontsize=16,color="green",shape="box"];12506[label="yuz2414",fontsize=16,color="green",shape="box"];12507[label="yuz2352",fontsize=16,color="green",shape="box"];12508[label="yuz2350",fontsize=16,color="green",shape="box"];12493[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz472 yuz473 yuz474 yuz475 yuz476) (FiniteMap.Branch yuz477 yuz478 yuz479 yuz480 yuz481) (FiniteMap.findMin (FiniteMap.Branch yuz482 yuz483 yuz484 yuz485 yuz486))",fontsize=16,color="burlywood",shape="triangle"];13245[label="yuz485/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12493 -> 13245[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13245 -> 12663[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13246[label="yuz485/FiniteMap.Branch yuz4850 yuz4851 yuz4852 yuz4853 yuz4854",fontsize=10,color="white",style="solid",shape="box"];12493 -> 13246[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13246 -> 12664[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12667[label="yuz2413",fontsize=16,color="green",shape="box"];12668[label="yuz2350",fontsize=16,color="green",shape="box"];12669[label="yuz2412",fontsize=16,color="green",shape="box"];12670[label="yuz2351",fontsize=16,color="green",shape="box"];12671[label="yuz2352",fontsize=16,color="green",shape="box"];12672[label="yuz2353",fontsize=16,color="green",shape="box"];12673[label="yuz2354",fontsize=16,color="green",shape="box"];12674[label="yuz2411",fontsize=16,color="green",shape="box"];12675[label="yuz2414",fontsize=16,color="green",shape="box"];12676[label="yuz2410",fontsize=16,color="green",shape="box"];12677[label="yuz2350",fontsize=16,color="green",shape="box"];12678[label="yuz2354",fontsize=16,color="green",shape="box"];12679[label="yuz2351",fontsize=16,color="green",shape="box"];12680[label="yuz2352",fontsize=16,color="green",shape="box"];12681[label="yuz2353",fontsize=16,color="green",shape="box"];12666[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz519 yuz520 yuz521 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weight=3]; 25.25/11.43 12168 -> 12208[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12168 -> 12209[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12168 -> 12210[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12168 -> 12211[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12100[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.glueBal2Vv2 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414))",fontsize=16,color="black",shape="box"];12100 -> 12119[label="",style="solid", color="black", weight=3]; 25.25/11.43 12101[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.glueBal2Vv2 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414))",fontsize=16,color="black",shape="box"];12101 -> 12120[label="",style="solid", color="black", weight=3]; 25.25/11.43 12102[label="FiniteMap.deleteMax (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 FiniteMap.EmptyFM)",fontsize=16,color="black",shape="box"];12102 -> 12121[label="",style="solid", color="black", weight=3]; 25.25/11.43 12103[label="FiniteMap.deleteMax (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 (FiniteMap.Branch yuz24140 yuz24141 yuz24142 yuz24143 yuz24144))",fontsize=16,color="black",shape="box"];12103 -> 12122[label="",style="solid", color="black", weight=3]; 25.25/11.43 12661[label="error []",fontsize=16,color="red",shape="box"];12662 -> 12620[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12662[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))) yuz45440 yuz45441 (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) yuz4540 yuz4541 yuz4543 yuz45443) (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))) yuz2350 yuz2351 yuz45444 yuz2354)",fontsize=16,color="magenta"];12662 -> 12769[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12662 -> 12770[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12662 -> 12771[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12662 -> 12772[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12662 -> 12773[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12662 -> 12774[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12662 -> 12775[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12662 -> 12776[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12662 -> 12777[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12757[label="FiniteMap.mkBranch (Pos (Succ yuz513)) yuz514 yuz515 yuz516 yuz517",fontsize=16,color="black",shape="triangle"];12757 -> 12872[label="",style="solid", color="black", weight=3]; 25.25/11.43 12758[label="yuz512",fontsize=16,color="green",shape="box"];12759[label="yuz510",fontsize=16,color="green",shape="box"];12760[label="yuz511",fontsize=16,color="green",shape="box"];12761[label="Succ yuz46600",fontsize=16,color="green",shape="box"];12762 -> 11386[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12762[label="primMulNat (Succ Zero) (Succ yuz46600)",fontsize=16,color="magenta"];12762 -> 12873[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12763[label="yuz235433",fontsize=16,color="green",shape="box"];12764[label="yuz454",fontsize=16,color="green",shape="box"];12765[label="yuz2350",fontsize=16,color="green",shape="box"];12766[label="yuz2351",fontsize=16,color="green",shape="box"];12663[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz472 yuz473 yuz474 yuz475 yuz476) (FiniteMap.Branch yuz477 yuz478 yuz479 yuz480 yuz481) (FiniteMap.findMin (FiniteMap.Branch yuz482 yuz483 yuz484 FiniteMap.EmptyFM yuz486))",fontsize=16,color="black",shape="box"];12663 -> 12778[label="",style="solid", color="black", weight=3]; 25.25/11.43 12664[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz472 yuz473 yuz474 yuz475 yuz476) (FiniteMap.Branch yuz477 yuz478 yuz479 yuz480 yuz481) (FiniteMap.findMin (FiniteMap.Branch yuz482 yuz483 yuz484 (FiniteMap.Branch yuz4850 yuz4851 yuz4852 yuz4853 yuz4854) yuz486))",fontsize=16,color="black",shape="box"];12664 -> 12779[label="",style="solid", color="black", weight=3]; 25.25/11.43 12767[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz519 yuz520 yuz521 yuz522 yuz523) (FiniteMap.Branch yuz524 yuz525 yuz526 yuz527 yuz528) (FiniteMap.findMin (FiniteMap.Branch yuz529 yuz530 yuz531 FiniteMap.EmptyFM yuz533))",fontsize=16,color="black",shape="box"];12767 -> 12874[label="",style="solid", color="black", weight=3]; 25.25/11.43 12768[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz519 yuz520 yuz521 yuz522 yuz523) (FiniteMap.Branch yuz524 yuz525 yuz526 yuz527 yuz528) (FiniteMap.findMin (FiniteMap.Branch yuz529 yuz530 yuz531 (FiniteMap.Branch yuz5320 yuz5321 yuz5322 yuz5323 yuz5324) yuz533))",fontsize=16,color="black",shape="box"];12768 -> 12875[label="",style="solid", color="black", weight=3]; 25.25/11.43 12207[label="yuz23532",fontsize=16,color="green",shape="box"];12208[label="yuz23531",fontsize=16,color="green",shape="box"];12209[label="yuz23533",fontsize=16,color="green",shape="box"];12210[label="yuz23530",fontsize=16,color="green",shape="box"];12211[label="yuz23534",fontsize=16,color="green",shape="box"];12119 -> 12781[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12119[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.findMax (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414))",fontsize=16,color="magenta"];12119 -> 12782[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12783[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12784[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12785[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12786[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12787[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12788[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12789[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12790[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12791[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12792[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12793[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12794[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12795[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12119 -> 12796[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12890[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12120[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz2350 yuz2351 yuz2352 yuz2353 yuz2354) (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414) (FiniteMap.findMax (FiniteMap.Branch yuz2410 yuz2411 yuz2412 yuz2413 yuz2414))",fontsize=16,color="magenta"];12120 -> 12891[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12892[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12893[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12894[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12895[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12896[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12897[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12898[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12899[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12900[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12901[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12902[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12903[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12904[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12120 -> 12905[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12121[label="yuz2413",fontsize=16,color="green",shape="box"];12122 -> 12049[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12122[label="FiniteMap.mkBalBranch yuz2410 yuz2411 yuz2413 (FiniteMap.deleteMax (FiniteMap.Branch yuz24140 yuz24141 yuz24142 yuz24143 yuz24144))",fontsize=16,color="magenta"];12122 -> 12173[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12122 -> 12174[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12122 -> 12175[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12122 -> 12176[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12769[label="yuz2351",fontsize=16,color="green",shape="box"];12770[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))",fontsize=16,color="green",shape="box"];12771[label="yuz2350",fontsize=16,color="green",shape="box"];12772 -> 12757[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12772[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) yuz4540 yuz4541 yuz4543 yuz45443",fontsize=16,color="magenta"];12772 -> 12876[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12772 -> 12877[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12772 -> 12878[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12772 -> 12879[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12772 -> 12880[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12773[label="yuz45440",fontsize=16,color="green",shape="box"];12774[label="yuz45441",fontsize=16,color="green",shape="box"];12775[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))",fontsize=16,color="green",shape="box"];12776[label="yuz45444",fontsize=16,color="green",shape="box"];12777[label="yuz2354",fontsize=16,color="green",shape="box"];12872 -> 6849[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12872[label="FiniteMap.mkBranchResult yuz514 yuz515 yuz517 yuz516",fontsize=16,color="magenta"];12872 -> 12981[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12872 -> 12982[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12872 -> 12983[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12872 -> 12984[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12873[label="yuz46600",fontsize=16,color="green",shape="box"];12778[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz472 yuz473 yuz474 yuz475 yuz476) (FiniteMap.Branch yuz477 yuz478 yuz479 yuz480 yuz481) (yuz482,yuz483)",fontsize=16,color="black",shape="box"];12778 -> 12881[label="",style="solid", color="black", weight=3]; 25.25/11.43 12779 -> 12493[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12779[label="FiniteMap.glueBal2Mid_elt20 (FiniteMap.Branch yuz472 yuz473 yuz474 yuz475 yuz476) (FiniteMap.Branch yuz477 yuz478 yuz479 yuz480 yuz481) (FiniteMap.findMin (FiniteMap.Branch yuz4850 yuz4851 yuz4852 yuz4853 yuz4854))",fontsize=16,color="magenta"];12779 -> 12882[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12779 -> 12883[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12779 -> 12884[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12779 -> 12885[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12779 -> 12886[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12874[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz519 yuz520 yuz521 yuz522 yuz523) (FiniteMap.Branch yuz524 yuz525 yuz526 yuz527 yuz528) (yuz529,yuz530)",fontsize=16,color="black",shape="box"];12874 -> 12985[label="",style="solid", color="black", weight=3]; 25.25/11.43 12875 -> 12666[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12875[label="FiniteMap.glueBal2Mid_key20 (FiniteMap.Branch yuz519 yuz520 yuz521 yuz522 yuz523) (FiniteMap.Branch yuz524 yuz525 yuz526 yuz527 yuz528) (FiniteMap.findMin (FiniteMap.Branch yuz5320 yuz5321 yuz5322 yuz5323 yuz5324))",fontsize=16,color="magenta"];12875 -> 12986[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12875 -> 12987[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12875 -> 12988[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12875 -> 12989[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12875 -> 12990[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12782[label="yuz2411",fontsize=16,color="green",shape="box"];12783[label="yuz2414",fontsize=16,color="green",shape="box"];12784[label="yuz2410",fontsize=16,color="green",shape="box"];12785[label="yuz2413",fontsize=16,color="green",shape="box"];12786[label="yuz2411",fontsize=16,color="green",shape="box"];12787[label="yuz2353",fontsize=16,color="green",shape="box"];12788[label="yuz2351",fontsize=16,color="green",shape="box"];12789[label="yuz2412",fontsize=16,color="green",shape="box"];12790[label="yuz2354",fontsize=16,color="green",shape="box"];12791[label="yuz2352",fontsize=16,color="green",shape="box"];12792[label="yuz2412",fontsize=16,color="green",shape="box"];12793[label="yuz2410",fontsize=16,color="green",shape="box"];12794[label="yuz2413",fontsize=16,color="green",shape="box"];12795[label="yuz2350",fontsize=16,color="green",shape="box"];12796[label="yuz2414",fontsize=16,color="green",shape="box"];12781[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz535 yuz536 yuz537 yuz538 yuz539) (FiniteMap.Branch yuz540 yuz541 yuz542 yuz543 yuz544) (FiniteMap.findMax (FiniteMap.Branch yuz545 yuz546 yuz547 yuz548 yuz549))",fontsize=16,color="burlywood",shape="triangle"];13249[label="yuz549/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12781 -> 13249[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13249 -> 12887[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13250[label="yuz549/FiniteMap.Branch yuz5490 yuz5491 yuz5492 yuz5493 yuz5494",fontsize=10,color="white",style="solid",shape="box"];12781 -> 13250[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13250 -> 12888[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12891[label="yuz2410",fontsize=16,color="green",shape="box"];12892[label="yuz2411",fontsize=16,color="green",shape="box"];12893[label="yuz2414",fontsize=16,color="green",shape="box"];12894[label="yuz2410",fontsize=16,color="green",shape="box"];12895[label="yuz2354",fontsize=16,color="green",shape="box"];12896[label="yuz2350",fontsize=16,color="green",shape="box"];12897[label="yuz2353",fontsize=16,color="green",shape="box"];12898[label="yuz2414",fontsize=16,color="green",shape="box"];12899[label="yuz2411",fontsize=16,color="green",shape="box"];12900[label="yuz2412",fontsize=16,color="green",shape="box"];12901[label="yuz2413",fontsize=16,color="green",shape="box"];12902[label="yuz2351",fontsize=16,color="green",shape="box"];12903[label="yuz2412",fontsize=16,color="green",shape="box"];12904[label="yuz2413",fontsize=16,color="green",shape="box"];12905[label="yuz2352",fontsize=16,color="green",shape="box"];12890[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz551 yuz552 yuz553 yuz554 yuz555) (FiniteMap.Branch yuz556 yuz557 yuz558 yuz559 yuz560) (FiniteMap.findMax (FiniteMap.Branch yuz561 yuz562 yuz563 yuz564 yuz565))",fontsize=16,color="burlywood",shape="triangle"];13251[label="yuz565/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];12890 -> 13251[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13251 -> 12991[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 13252[label="yuz565/FiniteMap.Branch yuz5650 yuz5651 yuz5652 yuz5653 yuz5654",fontsize=10,color="white",style="solid",shape="box"];12890 -> 13252[label="",style="solid", color="burlywood", weight=9]; 25.25/11.43 13252 -> 12992[label="",style="solid", color="burlywood", weight=3]; 25.25/11.43 12173[label="yuz2411",fontsize=16,color="green",shape="box"];12174[label="yuz2410",fontsize=16,color="green",shape="box"];12175[label="yuz2413",fontsize=16,color="green",shape="box"];12176 -> 12077[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12176[label="FiniteMap.deleteMax (FiniteMap.Branch yuz24140 yuz24141 yuz24142 yuz24143 yuz24144)",fontsize=16,color="magenta"];12176 -> 12216[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12176 -> 12217[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12176 -> 12218[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12176 -> 12219[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12176 -> 12220[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12876[label="yuz4541",fontsize=16,color="green",shape="box"];12877[label="yuz4540",fontsize=16,color="green",shape="box"];12878[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))",fontsize=16,color="green",shape="box"];12879[label="yuz4543",fontsize=16,color="green",shape="box"];12880[label="yuz45443",fontsize=16,color="green",shape="box"];12981[label="yuz517",fontsize=16,color="green",shape="box"];12982[label="yuz516",fontsize=16,color="green",shape="box"];12983[label="yuz514",fontsize=16,color="green",shape="box"];12984[label="yuz515",fontsize=16,color="green",shape="box"];12881[label="yuz483",fontsize=16,color="green",shape="box"];12882[label="yuz4851",fontsize=16,color="green",shape="box"];12883[label="yuz4854",fontsize=16,color="green",shape="box"];12884[label="yuz4853",fontsize=16,color="green",shape="box"];12885[label="yuz4852",fontsize=16,color="green",shape="box"];12886[label="yuz4850",fontsize=16,color="green",shape="box"];12985[label="yuz529",fontsize=16,color="green",shape="box"];12986[label="yuz5320",fontsize=16,color="green",shape="box"];12987[label="yuz5322",fontsize=16,color="green",shape="box"];12988[label="yuz5324",fontsize=16,color="green",shape="box"];12989[label="yuz5321",fontsize=16,color="green",shape="box"];12990[label="yuz5323",fontsize=16,color="green",shape="box"];12887[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz535 yuz536 yuz537 yuz538 yuz539) (FiniteMap.Branch yuz540 yuz541 yuz542 yuz543 yuz544) (FiniteMap.findMax (FiniteMap.Branch yuz545 yuz546 yuz547 yuz548 FiniteMap.EmptyFM))",fontsize=16,color="black",shape="box"];12887 -> 12993[label="",style="solid", color="black", weight=3]; 25.25/11.43 12888[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz535 yuz536 yuz537 yuz538 yuz539) (FiniteMap.Branch yuz540 yuz541 yuz542 yuz543 yuz544) (FiniteMap.findMax (FiniteMap.Branch yuz545 yuz546 yuz547 yuz548 (FiniteMap.Branch yuz5490 yuz5491 yuz5492 yuz5493 yuz5494)))",fontsize=16,color="black",shape="box"];12888 -> 12994[label="",style="solid", color="black", weight=3]; 25.25/11.43 12991[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz551 yuz552 yuz553 yuz554 yuz555) (FiniteMap.Branch yuz556 yuz557 yuz558 yuz559 yuz560) (FiniteMap.findMax (FiniteMap.Branch yuz561 yuz562 yuz563 yuz564 FiniteMap.EmptyFM))",fontsize=16,color="black",shape="box"];12991 -> 12995[label="",style="solid", color="black", weight=3]; 25.25/11.43 12992[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz551 yuz552 yuz553 yuz554 yuz555) (FiniteMap.Branch yuz556 yuz557 yuz558 yuz559 yuz560) (FiniteMap.findMax (FiniteMap.Branch yuz561 yuz562 yuz563 yuz564 (FiniteMap.Branch yuz5650 yuz5651 yuz5652 yuz5653 yuz5654)))",fontsize=16,color="black",shape="box"];12992 -> 12996[label="",style="solid", color="black", weight=3]; 25.25/11.43 12216[label="yuz24140",fontsize=16,color="green",shape="box"];12217[label="yuz24141",fontsize=16,color="green",shape="box"];12218[label="yuz24143",fontsize=16,color="green",shape="box"];12219[label="yuz24142",fontsize=16,color="green",shape="box"];12220[label="yuz24144",fontsize=16,color="green",shape="box"];12993[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz535 yuz536 yuz537 yuz538 yuz539) (FiniteMap.Branch yuz540 yuz541 yuz542 yuz543 yuz544) (yuz545,yuz546)",fontsize=16,color="black",shape="box"];12993 -> 12997[label="",style="solid", color="black", weight=3]; 25.25/11.43 12994 -> 12781[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12994[label="FiniteMap.glueBal2Mid_elt10 (FiniteMap.Branch yuz535 yuz536 yuz537 yuz538 yuz539) (FiniteMap.Branch yuz540 yuz541 yuz542 yuz543 yuz544) (FiniteMap.findMax (FiniteMap.Branch yuz5490 yuz5491 yuz5492 yuz5493 yuz5494))",fontsize=16,color="magenta"];12994 -> 12998[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12994 -> 12999[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12994 -> 13000[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12994 -> 13001[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12994 -> 13002[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12995[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz551 yuz552 yuz553 yuz554 yuz555) (FiniteMap.Branch yuz556 yuz557 yuz558 yuz559 yuz560) (yuz561,yuz562)",fontsize=16,color="black",shape="box"];12995 -> 13003[label="",style="solid", color="black", weight=3]; 25.25/11.43 12996 -> 12890[label="",style="dashed", color="red", weight=0]; 25.25/11.43 12996[label="FiniteMap.glueBal2Mid_key10 (FiniteMap.Branch yuz551 yuz552 yuz553 yuz554 yuz555) (FiniteMap.Branch yuz556 yuz557 yuz558 yuz559 yuz560) (FiniteMap.findMax (FiniteMap.Branch yuz5650 yuz5651 yuz5652 yuz5653 yuz5654))",fontsize=16,color="magenta"];12996 -> 13004[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12996 -> 13005[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12996 -> 13006[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12996 -> 13007[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12996 -> 13008[label="",style="dashed", color="magenta", weight=3]; 25.25/11.43 12997[label="yuz546",fontsize=16,color="green",shape="box"];12998[label="yuz5494",fontsize=16,color="green",shape="box"];12999[label="yuz5491",fontsize=16,color="green",shape="box"];13000[label="yuz5492",fontsize=16,color="green",shape="box"];13001[label="yuz5490",fontsize=16,color="green",shape="box"];13002[label="yuz5493",fontsize=16,color="green",shape="box"];13003[label="yuz561",fontsize=16,color="green",shape="box"];13004[label="yuz5651",fontsize=16,color="green",shape="box"];13005[label="yuz5654",fontsize=16,color="green",shape="box"];13006[label="yuz5650",fontsize=16,color="green",shape="box"];13007[label="yuz5652",fontsize=16,color="green",shape="box"];13008[label="yuz5653",fontsize=16,color="green",shape="box"];} 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (14) 25.25/11.43 Complex Obligation (AND) 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (15) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_addToFM_C1(yuz432, yuz433, yuz434, yuz435, yuz436, yuz437, yuz438, True, bb, bc) -> new_addToFM_C(yuz436, yuz437, yuz438, bb, bc) 25.25/11.43 new_addToFM_C2(yuz411, yuz412, yuz413, yuz414, yuz415, yuz416, yuz417, False, h, ba) -> new_addToFM_C1(yuz411, yuz412, yuz413, yuz414, yuz415, yuz416, yuz417, new_gt(yuz416, yuz411, h), h, ba) 25.25/11.43 new_addToFM_C2(yuz411, yuz412, yuz413, Branch(yuz4140, yuz4141, yuz4142, yuz4143, yuz4144), yuz415, yuz416, yuz417, True, h, ba) -> new_addToFM_C2(yuz4140, yuz4141, yuz4142, yuz4143, yuz4144, yuz416, yuz417, new_lt(yuz416, yuz4140, h), h, ba) 25.25/11.43 new_addToFM_C(Branch(yuz4140, yuz4141, yuz4142, yuz4143, yuz4144), yuz416, yuz417, h, ba) -> new_addToFM_C2(yuz4140, yuz4141, yuz4142, yuz4143, yuz4144, yuz416, yuz417, new_lt(yuz416, yuz4140, h), h, ba) 25.25/11.43 25.25/11.43 The TRS R consists of the following rules: 25.25/11.43 25.25/11.43 new_lt(yuz416, yuz4140, ty_Ordering) -> new_lt0(yuz416, yuz4140) 25.25/11.43 new_esEs10(Pos(Succ(yuz16100)), Neg(yuz1510)) -> new_esEs4 25.25/11.43 new_gt(LT, EQ, ty_Ordering) -> new_esEs2 25.25/11.43 new_gt0(Neg(Zero), Pos(Succ(yuz41100))) -> new_esEs2 25.25/11.43 new_esEs5(Zero, Succ(yuz151000)) -> new_esEs6 25.25/11.43 new_esEs7 -> False 25.25/11.43 new_lt(yuz416, yuz4140, ty_Int) -> new_lt1(yuz416, yuz4140) 25.25/11.43 new_lt(yuz416, yuz4140, app(ty_Ratio, ce)) -> error([]) 25.25/11.43 new_esEs8(Succ(yuz41100), yuz41600) -> new_esEs9(yuz41100, yuz41600) 25.25/11.43 new_esEs5(Succ(yuz161000), Zero) -> new_esEs4 25.25/11.43 new_esEs11(yuz16100, Succ(yuz15100)) -> new_esEs5(yuz16100, yuz15100) 25.25/11.43 new_gt0(Pos(Succ(yuz41600)), Pos(yuz4110)) -> new_esEs13(yuz41600, yuz4110) 25.25/11.43 new_esEs2 -> False 25.25/11.43 new_lt(yuz416, yuz4140, app(app(app(ty_@3, cb), cc), cd)) -> error([]) 25.25/11.43 new_gt0(Neg(Zero), Neg(Zero)) -> new_esEs1 25.25/11.43 new_gt(LT, LT, ty_Ordering) -> new_esEs1 25.25/11.43 new_lt0(LT, LT) -> new_esEs7 25.25/11.43 new_esEs10(Neg(Zero), Neg(Zero)) -> new_esEs7 25.25/11.43 new_gt(EQ, EQ, ty_Ordering) -> new_esEs1 25.25/11.43 new_gt0(Neg(Zero), Neg(Succ(yuz41100))) -> new_esEs13(yuz41100, Zero) 25.25/11.43 new_gt(GT, GT, ty_Ordering) -> new_esEs1 25.25/11.43 new_esEs10(Pos(Zero), Pos(Zero)) -> new_esEs7 25.25/11.43 new_gt(LT, GT, ty_Ordering) -> new_esEs2 25.25/11.43 new_gt(EQ, LT, ty_Ordering) -> new_esEs3 25.25/11.43 new_esEs8(Zero, yuz41600) -> new_esEs2 25.25/11.43 new_esEs11(yuz16100, Zero) -> new_esEs4 25.25/11.43 new_gt(yuz416, yuz411, app(app(app(ty_@3, cb), cc), cd)) -> error([]) 25.25/11.43 new_gt0(Pos(Zero), Neg(Succ(yuz41100))) -> new_esEs3 25.25/11.43 new_lt0(EQ, LT) -> new_esEs4 25.25/11.43 new_lt0(GT, EQ) -> new_esEs4 25.25/11.43 new_esEs9(Succ(yuz416000), Zero) -> new_esEs3 25.25/11.43 new_esEs1 -> False 25.25/11.43 new_esEs4 -> False 25.25/11.43 new_esEs3 -> True 25.25/11.43 new_gt(EQ, GT, ty_Ordering) -> new_esEs2 25.25/11.43 new_esEs5(Zero, Zero) -> new_esEs7 25.25/11.43 new_esEs10(Pos(Zero), Neg(Zero)) -> new_esEs7 25.25/11.43 new_esEs10(Neg(Zero), Pos(Zero)) -> new_esEs7 25.25/11.43 new_gt0(Neg(Succ(yuz41600)), Pos(yuz4110)) -> new_esEs2 25.25/11.43 new_esEs5(Succ(yuz161000), Succ(yuz151000)) -> new_esEs5(yuz161000, yuz151000) 25.25/11.43 new_lt(yuz416, yuz4140, ty_Char) -> error([]) 25.25/11.43 new_esEs12(Succ(yuz15100), yuz16100) -> new_esEs5(yuz15100, yuz16100) 25.25/11.43 new_gt0(Pos(Zero), Pos(Zero)) -> new_esEs1 25.25/11.43 new_lt0(EQ, GT) -> new_esEs6 25.25/11.43 new_esEs10(Neg(Succ(yuz16100)), Pos(yuz1510)) -> new_esEs6 25.25/11.43 new_lt(yuz416, yuz4140, ty_Float) -> error([]) 25.25/11.43 new_gt(yuz416, yuz411, app(app(ty_Either, bg), bh)) -> error([]) 25.25/11.43 new_gt(yuz416, yuz411, ty_Integer) -> error([]) 25.25/11.43 new_lt(yuz416, yuz4140, app(ty_Maybe, ca)) -> error([]) 25.25/11.43 new_lt(yuz416, yuz4140, ty_Bool) -> error([]) 25.25/11.43 new_gt(yuz416, yuz411, app(ty_[], bd)) -> error([]) 25.25/11.43 new_gt0(Pos(Zero), Pos(Succ(yuz41100))) -> new_esEs8(Zero, yuz41100) 25.25/11.43 new_gt0(Neg(Succ(yuz41600)), Neg(yuz4110)) -> new_esEs8(yuz4110, yuz41600) 25.25/11.43 new_esEs10(Pos(Succ(yuz16100)), Pos(yuz1510)) -> new_esEs11(yuz16100, yuz1510) 25.25/11.43 new_lt(yuz416, yuz4140, ty_Double) -> error([]) 25.25/11.43 new_lt(yuz416, yuz4140, app(app(ty_@2, be), bf)) -> error([]) 25.25/11.43 new_gt0(Pos(Succ(yuz41600)), Neg(yuz4110)) -> new_esEs3 25.25/11.43 new_lt(yuz416, yuz4140, ty_@0) -> error([]) 25.25/11.43 new_gt(yuz416, yuz411, app(app(ty_@2, be), bf)) -> error([]) 25.25/11.43 new_gt(yuz416, yuz411, ty_Double) -> error([]) 25.25/11.43 new_esEs10(Pos(Zero), Pos(Succ(yuz15100))) -> new_esEs12(Zero, yuz15100) 25.25/11.43 new_gt(yuz416, yuz411, ty_Bool) -> error([]) 25.25/11.43 new_esEs13(yuz41600, Zero) -> new_esEs3 25.25/11.43 new_lt(yuz416, yuz4140, app(ty_[], bd)) -> error([]) 25.25/11.43 new_gt0(Pos(Zero), Neg(Zero)) -> new_esEs1 25.25/11.43 new_gt0(Neg(Zero), Pos(Zero)) -> new_esEs1 25.25/11.43 new_esEs10(Neg(Zero), Neg(Succ(yuz15100))) -> new_esEs11(yuz15100, Zero) 25.25/11.43 new_lt0(GT, GT) -> new_esEs7 25.25/11.43 new_gt(yuz416, yuz411, ty_@0) -> error([]) 25.25/11.43 new_esEs12(Zero, yuz16100) -> new_esEs6 25.25/11.43 new_lt(yuz416, yuz4140, app(app(ty_Either, bg), bh)) -> error([]) 25.25/11.43 new_esEs9(Zero, Zero) -> new_esEs1 25.25/11.43 new_lt1(yuz161, yuz151) -> new_esEs10(yuz161, yuz151) 25.25/11.43 new_esEs10(Neg(Zero), Pos(Succ(yuz15100))) -> new_esEs6 25.25/11.43 new_esEs9(Zero, Succ(yuz411000)) -> new_esEs2 25.25/11.43 new_gt(GT, EQ, ty_Ordering) -> new_esEs3 25.25/11.43 new_lt0(LT, GT) -> new_esEs6 25.25/11.43 new_gt(yuz416, yuz411, ty_Char) -> error([]) 25.25/11.43 new_esEs6 -> True 25.25/11.43 new_gt(yuz416, yuz411, ty_Float) -> error([]) 25.25/11.43 new_esEs13(yuz41600, Succ(yuz41100)) -> new_esEs9(yuz41600, yuz41100) 25.25/11.43 new_gt(yuz416, yuz411, app(ty_Maybe, ca)) -> error([]) 25.25/11.43 new_lt0(EQ, EQ) -> new_esEs7 25.25/11.43 new_lt(yuz416, yuz4140, ty_Integer) -> error([]) 25.25/11.43 new_gt(yuz416, yuz411, ty_Int) -> new_gt0(yuz416, yuz411) 25.25/11.43 new_esEs10(Pos(Zero), Neg(Succ(yuz15100))) -> new_esEs4 25.25/11.43 new_gt(GT, LT, ty_Ordering) -> new_esEs3 25.25/11.43 new_lt0(GT, LT) -> new_esEs4 25.25/11.43 new_esEs9(Succ(yuz416000), Succ(yuz411000)) -> new_esEs9(yuz416000, yuz411000) 25.25/11.43 new_lt0(LT, EQ) -> new_esEs6 25.25/11.43 new_esEs10(Neg(Succ(yuz16100)), Neg(yuz1510)) -> new_esEs12(yuz1510, yuz16100) 25.25/11.43 new_gt(yuz416, yuz411, app(ty_Ratio, ce)) -> error([]) 25.25/11.43 25.25/11.43 The set Q consists of the following terms: 25.25/11.43 25.25/11.43 new_gt0(Neg(Succ(x0)), Pos(x1)) 25.25/11.43 new_gt0(Pos(Succ(x0)), Neg(x1)) 25.25/11.43 new_lt(x0, x1, app(ty_[], x2)) 25.25/11.43 new_lt(x0, x1, app(ty_Maybe, x2)) 25.25/11.43 new_gt(x0, x1, app(app(ty_@2, x2), x3)) 25.25/11.43 new_esEs5(Zero, Zero) 25.25/11.43 new_lt0(EQ, EQ) 25.25/11.43 new_lt(x0, x1, app(ty_Ratio, x2)) 25.25/11.43 new_lt0(LT, LT) 25.25/11.43 new_gt0(Pos(Succ(x0)), Pos(x1)) 25.25/11.43 new_lt(x0, x1, app(app(ty_@2, x2), x3)) 25.25/11.43 new_esEs11(x0, Succ(x1)) 25.25/11.43 new_esEs10(Pos(Zero), Pos(Zero)) 25.25/11.43 new_gt(x0, x1, ty_Char) 25.25/11.43 new_gt0(Neg(Succ(x0)), Neg(x1)) 25.25/11.43 new_esEs5(Succ(x0), Zero) 25.25/11.43 new_gt(LT, GT, ty_Ordering) 25.25/11.43 new_gt(x0, x1, app(app(ty_Either, x2), x3)) 25.25/11.43 new_gt(x0, x1, ty_@0) 25.25/11.43 new_gt(GT, LT, ty_Ordering) 25.25/11.43 new_lt(x0, x1, ty_Char) 25.25/11.43 new_gt0(Neg(Zero), Neg(Succ(x0))) 25.25/11.43 new_esEs12(Succ(x0), x1) 25.25/11.43 new_gt(x0, x1, ty_Double) 25.25/11.43 new_lt(x0, x1, ty_Ordering) 25.25/11.43 new_lt(x0, x1, ty_@0) 25.25/11.43 new_lt(x0, x1, ty_Double) 25.25/11.43 new_gt(x0, x1, ty_Int) 25.25/11.43 new_lt(x0, x1, app(app(ty_Either, x2), x3)) 25.25/11.43 new_gt(x0, x1, app(ty_Ratio, x2)) 25.25/11.43 new_gt0(Neg(Zero), Pos(Succ(x0))) 25.25/11.43 new_gt0(Pos(Zero), Neg(Succ(x0))) 25.25/11.43 new_lt0(GT, EQ) 25.25/11.43 new_esEs10(Pos(Zero), Neg(Zero)) 25.25/11.43 new_esEs10(Neg(Zero), Pos(Zero)) 25.25/11.43 new_lt0(EQ, GT) 25.25/11.43 new_lt1(x0, x1) 25.25/11.43 new_esEs8(Succ(x0), x1) 25.25/11.43 new_gt(LT, LT, ty_Ordering) 25.25/11.43 new_esEs10(Neg(Zero), Neg(Zero)) 25.25/11.43 new_gt0(Pos(Zero), Pos(Zero)) 25.25/11.43 new_esEs12(Zero, x0) 25.25/11.43 new_esEs13(x0, Succ(x1)) 25.25/11.43 new_gt(x0, x1, app(ty_[], x2)) 25.25/11.43 new_esEs8(Zero, x0) 25.25/11.43 new_gt(x0, x1, app(ty_Maybe, x2)) 25.25/11.43 new_lt(x0, x1, ty_Int) 25.25/11.43 new_esEs10(Neg(Zero), Neg(Succ(x0))) 25.25/11.43 new_esEs13(x0, Zero) 25.25/11.43 new_gt(EQ, GT, ty_Ordering) 25.25/11.43 new_gt(GT, EQ, ty_Ordering) 25.25/11.43 new_esEs9(Succ(x0), Succ(x1)) 25.25/11.43 new_gt(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 25.25/11.43 new_lt0(EQ, LT) 25.25/11.43 new_lt0(LT, EQ) 25.25/11.43 new_esEs10(Neg(Zero), Pos(Succ(x0))) 25.25/11.43 new_esEs10(Pos(Zero), Neg(Succ(x0))) 25.25/11.43 new_esEs3 25.25/11.43 new_esEs5(Succ(x0), Succ(x1)) 25.25/11.43 new_gt0(Pos(Zero), Pos(Succ(x0))) 25.25/11.43 new_esEs2 25.25/11.43 new_esEs10(Pos(Succ(x0)), Pos(x1)) 25.25/11.43 new_lt(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 25.25/11.43 new_lt0(LT, GT) 25.25/11.43 new_lt0(GT, LT) 25.25/11.43 new_esEs5(Zero, Succ(x0)) 25.25/11.43 new_esEs6 25.25/11.43 new_gt(LT, EQ, ty_Ordering) 25.25/11.43 new_gt(EQ, LT, ty_Ordering) 25.25/11.43 new_esEs1 25.25/11.43 new_gt0(Pos(Zero), Neg(Zero)) 25.25/11.43 new_gt0(Neg(Zero), Pos(Zero)) 25.25/11.43 new_lt(x0, x1, ty_Integer) 25.25/11.43 new_gt(x0, x1, ty_Bool) 25.25/11.43 new_gt(x0, x1, ty_Float) 25.25/11.43 new_esEs9(Zero, Succ(x0)) 25.25/11.43 new_esEs10(Pos(Succ(x0)), Neg(x1)) 25.25/11.43 new_gt(GT, GT, ty_Ordering) 25.25/11.43 new_esEs10(Neg(Succ(x0)), Pos(x1)) 25.25/11.43 new_gt(EQ, EQ, ty_Ordering) 25.25/11.43 new_esEs7 25.25/11.43 new_esEs10(Neg(Succ(x0)), Neg(x1)) 25.25/11.43 new_gt(x0, x1, ty_Integer) 25.25/11.43 new_lt(x0, x1, ty_Bool) 25.25/11.43 new_esEs10(Pos(Zero), Pos(Succ(x0))) 25.25/11.43 new_esEs9(Succ(x0), Zero) 25.25/11.43 new_lt0(GT, GT) 25.25/11.43 new_gt0(Neg(Zero), Neg(Zero)) 25.25/11.43 new_lt(x0, x1, ty_Float) 25.25/11.43 new_esEs4 25.25/11.43 new_esEs9(Zero, Zero) 25.25/11.43 new_esEs11(x0, Zero) 25.25/11.43 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (16) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_addToFM_C(Branch(yuz4140, yuz4141, yuz4142, yuz4143, yuz4144), yuz416, yuz417, h, ba) -> new_addToFM_C2(yuz4140, yuz4141, yuz4142, yuz4143, yuz4144, yuz416, yuz417, new_lt(yuz416, yuz4140, h), h, ba) 25.25/11.43 The graph contains the following edges 1 > 1, 1 > 2, 1 > 3, 1 > 4, 1 > 5, 2 >= 6, 3 >= 7, 4 >= 9, 5 >= 10 25.25/11.43 25.25/11.43 25.25/11.43 *new_addToFM_C2(yuz411, yuz412, yuz413, yuz414, yuz415, yuz416, yuz417, False, h, ba) -> new_addToFM_C1(yuz411, yuz412, yuz413, yuz414, yuz415, yuz416, yuz417, new_gt(yuz416, yuz411, h), h, ba) 25.25/11.43 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 9 >= 9, 10 >= 10 25.25/11.43 25.25/11.43 25.25/11.43 *new_addToFM_C1(yuz432, yuz433, yuz434, yuz435, yuz436, yuz437, yuz438, True, bb, bc) -> new_addToFM_C(yuz436, yuz437, yuz438, bb, bc) 25.25/11.43 The graph contains the following edges 5 >= 1, 6 >= 2, 7 >= 3, 9 >= 4, 10 >= 5 25.25/11.43 25.25/11.43 25.25/11.43 *new_addToFM_C2(yuz411, yuz412, yuz413, Branch(yuz4140, yuz4141, yuz4142, yuz4143, yuz4144), yuz415, yuz416, yuz417, True, h, ba) -> new_addToFM_C2(yuz4140, yuz4141, yuz4142, yuz4143, yuz4144, yuz416, yuz417, new_lt(yuz416, yuz4140, h), h, ba) 25.25/11.43 The graph contains the following edges 4 > 1, 4 > 2, 4 > 3, 4 > 4, 4 > 5, 6 >= 6, 7 >= 7, 9 >= 9, 10 >= 10 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (17) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (18) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_glueBal2GlueBal1(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, Succ(yuz401000), Succ(yuz400000), h, ba) -> new_glueBal2GlueBal1(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, yuz401000, yuz400000, h, ba) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (19) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_glueBal2GlueBal1(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, Succ(yuz401000), Succ(yuz400000), h, ba) -> new_glueBal2GlueBal1(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, yuz401000, yuz400000, h, ba) 25.25/11.43 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 11 > 11, 12 > 12, 13 >= 13, 14 >= 14 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (20) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (21) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h) -> new_filterFM(yuz3, yuz43, h) 25.25/11.43 new_filterFM(yuz3, Branch(yuz40, yuz41, yuz42, yuz43, yuz44), h) -> new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h) 25.25/11.43 new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h) -> new_filterFM(yuz3, yuz44, h) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (22) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_filterFM(yuz3, Branch(yuz40, yuz41, yuz42, yuz43, yuz44), h) -> new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h) 25.25/11.43 The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 7 25.25/11.43 25.25/11.43 25.25/11.43 *new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h) -> new_filterFM(yuz3, yuz43, h) 25.25/11.43 The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3 25.25/11.43 25.25/11.43 25.25/11.43 *new_filterFM1(yuz3, yuz40, yuz41, yuz42, yuz43, yuz44, h) -> new_filterFM(yuz3, yuz44, h) 25.25/11.43 The graph contains the following edges 1 >= 1, 6 >= 2, 7 >= 3 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (23) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (24) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_primMinusNat(Succ(yuz328200), Succ(yuz160200)) -> new_primMinusNat(yuz328200, yuz160200) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (25) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_primMinusNat(Succ(yuz328200), Succ(yuz160200)) -> new_primMinusNat(yuz328200, yuz160200) 25.25/11.43 The graph contains the following edges 1 > 1, 2 > 2 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (26) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (27) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_primPlusNat(Succ(yuz2500), Succ(yuz150)) -> new_primPlusNat(yuz2500, yuz150) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (28) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_primPlusNat(Succ(yuz2500), Succ(yuz150)) -> new_primPlusNat(yuz2500, yuz150) 25.25/11.43 The graph contains the following edges 1 > 1, 2 > 2 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (29) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (30) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_glueBal2Mid_key10(yuz551, yuz552, yuz553, yuz554, yuz555, yuz556, yuz557, yuz558, yuz559, yuz560, yuz561, yuz562, yuz563, yuz564, Branch(yuz5650, yuz5651, yuz5652, yuz5653, yuz5654), h, ba) -> new_glueBal2Mid_key10(yuz551, yuz552, yuz553, yuz554, yuz555, yuz556, yuz557, yuz558, yuz559, yuz560, yuz5650, yuz5651, yuz5652, yuz5653, yuz5654, h, ba) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (31) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_glueBal2Mid_key10(yuz551, yuz552, yuz553, yuz554, yuz555, yuz556, yuz557, yuz558, yuz559, yuz560, yuz561, yuz562, yuz563, yuz564, Branch(yuz5650, yuz5651, yuz5652, yuz5653, yuz5654), h, ba) -> new_glueBal2Mid_key10(yuz551, yuz552, yuz553, yuz554, yuz555, yuz556, yuz557, yuz558, yuz559, yuz560, yuz5650, yuz5651, yuz5652, yuz5653, yuz5654, h, ba) 25.25/11.43 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 15 > 11, 15 > 12, 15 > 13, 15 > 14, 15 > 15, 16 >= 16, 17 >= 17 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (32) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (33) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_deleteMin(yuz2350, yuz2351, yuz2352, Branch(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534), yuz2354, h, ba) -> new_deleteMin(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, h, ba) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (34) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_deleteMin(yuz2350, yuz2351, yuz2352, Branch(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534), yuz2354, h, ba) -> new_deleteMin(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, h, ba) 25.25/11.43 The graph contains the following edges 4 > 1, 4 > 2, 4 > 3, 4 > 4, 4 > 5, 6 >= 6, 7 >= 7 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (35) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (36) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_glueBal2Mid_elt20(yuz472, yuz473, yuz474, yuz475, yuz476, yuz477, yuz478, yuz479, yuz480, yuz481, yuz482, yuz483, yuz484, Branch(yuz4850, yuz4851, yuz4852, yuz4853, yuz4854), yuz486, h, ba) -> new_glueBal2Mid_elt20(yuz472, yuz473, yuz474, yuz475, yuz476, yuz477, yuz478, yuz479, yuz480, yuz481, yuz4850, yuz4851, yuz4852, yuz4853, yuz4854, h, ba) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (37) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_glueBal2Mid_elt20(yuz472, yuz473, yuz474, yuz475, yuz476, yuz477, yuz478, yuz479, yuz480, yuz481, yuz482, yuz483, yuz484, Branch(yuz4850, yuz4851, yuz4852, yuz4853, yuz4854), yuz486, h, ba) -> new_glueBal2Mid_elt20(yuz472, yuz473, yuz474, yuz475, yuz476, yuz477, yuz478, yuz479, yuz480, yuz481, yuz4850, yuz4851, yuz4852, yuz4853, yuz4854, h, ba) 25.25/11.43 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 14 > 11, 14 > 12, 14 > 13, 14 > 14, 14 > 15, 16 >= 16, 17 >= 17 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (38) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (39) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_glueBal2Mid_key20(yuz519, yuz520, yuz521, yuz522, yuz523, yuz524, yuz525, yuz526, yuz527, yuz528, yuz529, yuz530, yuz531, Branch(yuz5320, yuz5321, yuz5322, yuz5323, yuz5324), yuz533, h, ba) -> new_glueBal2Mid_key20(yuz519, yuz520, yuz521, yuz522, yuz523, yuz524, yuz525, yuz526, yuz527, yuz528, yuz5320, yuz5321, yuz5322, yuz5323, yuz5324, h, ba) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (40) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_glueBal2Mid_key20(yuz519, yuz520, yuz521, yuz522, yuz523, yuz524, yuz525, yuz526, yuz527, yuz528, yuz529, yuz530, yuz531, Branch(yuz5320, yuz5321, yuz5322, yuz5323, yuz5324), yuz533, h, ba) -> new_glueBal2Mid_key20(yuz519, yuz520, yuz521, yuz522, yuz523, yuz524, yuz525, yuz526, yuz527, yuz528, yuz5320, yuz5321, yuz5322, yuz5323, yuz5324, h, ba) 25.25/11.43 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 14 > 11, 14 > 12, 14 > 13, 14 > 14, 14 > 15, 16 >= 16, 17 >= 17 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (41) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (42) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_deleteMax(yuz2410, yuz2411, yuz2412, yuz2413, Branch(yuz24140, yuz24141, yuz24142, yuz24143, yuz24144), h, ba) -> new_deleteMax(yuz24140, yuz24141, yuz24142, yuz24143, yuz24144, h, ba) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (43) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_deleteMax(yuz2410, yuz2411, yuz2412, yuz2413, Branch(yuz24140, yuz24141, yuz24142, yuz24143, yuz24144), h, ba) -> new_deleteMax(yuz24140, yuz24141, yuz24142, yuz24143, yuz24144, h, ba) 25.25/11.43 The graph contains the following edges 5 > 1, 5 > 2, 5 > 3, 5 > 4, 5 > 5, 6 >= 6, 7 >= 7 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (44) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (45) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_glueBal2Mid_elt10(yuz535, yuz536, yuz537, yuz538, yuz539, yuz540, yuz541, yuz542, yuz543, yuz544, yuz545, yuz546, yuz547, yuz548, Branch(yuz5490, yuz5491, yuz5492, yuz5493, yuz5494), h, ba) -> new_glueBal2Mid_elt10(yuz535, yuz536, yuz537, yuz538, yuz539, yuz540, yuz541, yuz542, yuz543, yuz544, yuz5490, yuz5491, yuz5492, yuz5493, yuz5494, h, ba) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (46) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_glueBal2Mid_elt10(yuz535, yuz536, yuz537, yuz538, yuz539, yuz540, yuz541, yuz542, yuz543, yuz544, yuz545, yuz546, yuz547, yuz548, Branch(yuz5490, yuz5491, yuz5492, yuz5493, yuz5494), h, ba) -> new_glueBal2Mid_elt10(yuz535, yuz536, yuz537, yuz538, yuz539, yuz540, yuz541, yuz542, yuz543, yuz544, yuz5490, yuz5491, yuz5492, yuz5493, yuz5494, h, ba) 25.25/11.43 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 15 > 11, 15 > 12, 15 > 13, 15 > 14, 15 > 15, 16 >= 16, 17 >= 17 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (47) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (48) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_esEs0(Succ(yuz161000), Succ(yuz151000)) -> new_esEs0(yuz161000, yuz151000) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (49) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_esEs0(Succ(yuz161000), Succ(yuz151000)) -> new_esEs0(yuz161000, yuz151000) 25.25/11.43 The graph contains the following edges 1 > 1, 2 > 2 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (50) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (51) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_mkVBalBranch3(yuz161, yuz162, yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, yuz161, yuz162, new_lt1(new_sr(new_mkVBalBranch3Size_l(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, h, ba)), new_mkVBalBranch3Size_r(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, h, ba)), h, ba) 25.25/11.43 new_mkVBalBranch3MkVBalBranch2(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, Branch(yuz15930, yuz15931, yuz15932, yuz15933, yuz15934), yuz1594, yuz161, yuz162, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, yuz161, yuz162, new_lt1(new_sr(new_mkVBalBranch3Size_l(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, h, ba)), new_mkVBalBranch3Size_r(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, h, ba)), h, ba) 25.25/11.43 new_mkVBalBranch3MkVBalBranch2(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, yuz161, yuz162, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, yuz161, yuz162, new_lt1(new_sr(new_mkVBalBranch3Size_r(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, h, ba)), new_mkVBalBranch3Size_l(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, h, ba)), h, ba) 25.25/11.43 new_mkVBalBranch3MkVBalBranch1(yuz1550, yuz1551, yuz1552, yuz1553, Branch(yuz15540, yuz15541, yuz15542, yuz15543, yuz15544), yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, yuz161, yuz162, True, h, ba) -> new_mkVBalBranch3(yuz161, yuz162, yuz15540, yuz15541, yuz15542, yuz15543, yuz15544, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, h, ba) 25.25/11.43 25.25/11.43 The TRS R consists of the following rules: 25.25/11.43 25.25/11.43 new_esEs10(Pos(Succ(yuz16100)), Neg(yuz1510)) -> new_esEs4 25.25/11.43 new_esEs10(Pos(Succ(yuz16100)), Pos(yuz1510)) -> new_esEs11(yuz16100, yuz1510) 25.25/11.43 new_esEs5(Zero, Succ(yuz151000)) -> new_esEs6 25.25/11.43 new_esEs7 -> False 25.25/11.43 new_primPlusNat0(Succ(yuz2500), Zero) -> Succ(yuz2500) 25.25/11.43 new_primPlusNat0(Zero, Succ(yuz150)) -> Succ(yuz150) 25.25/11.43 new_primPlusNat0(Zero, Zero) -> Zero 25.25/11.43 new_esEs5(Succ(yuz161000), Zero) -> new_esEs4 25.25/11.43 new_esEs11(yuz16100, Succ(yuz15100)) -> new_esEs5(yuz16100, yuz15100) 25.25/11.43 new_esEs10(Neg(Zero), Neg(Zero)) -> new_esEs7 25.25/11.43 new_primMulNat(Zero) -> Zero 25.25/11.43 new_esEs10(Pos(Zero), Pos(Succ(yuz15100))) -> new_esEs12(Zero, yuz15100) 25.25/11.43 new_sizeFM(Branch(yuz3220, yuz3221, yuz3222, yuz3223, yuz3224), bb, bc) -> yuz3222 25.25/11.43 new_mkVBalBranch3Size_l(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, h, ba) -> new_sizeFM(Branch(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554), h, ba) 25.25/11.43 new_esEs10(Pos(Zero), Pos(Zero)) -> new_esEs7 25.25/11.43 new_esEs10(Neg(Zero), Neg(Succ(yuz15100))) -> new_esEs11(yuz15100, Zero) 25.25/11.43 new_esEs11(yuz16100, Zero) -> new_esEs4 25.25/11.43 new_sr(yuz368) -> new_primMulInt(yuz368) 25.25/11.43 new_primMulInt(Pos(yuz3680)) -> Pos(new_primMulNat(yuz3680)) 25.25/11.43 new_esEs12(Zero, yuz16100) -> new_esEs6 25.25/11.43 new_lt1(yuz161, yuz151) -> new_esEs10(yuz161, yuz151) 25.25/11.43 new_esEs10(Neg(Zero), Pos(Succ(yuz15100))) -> new_esEs6 25.25/11.43 new_primMulNat0(yuz36800) -> new_primPlusNat0(Zero, Succ(yuz36800)) 25.25/11.43 new_esEs6 -> True 25.25/11.43 new_primMulNat(Succ(yuz36800)) -> new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat0(yuz36800), Succ(yuz36800)), Succ(yuz36800)), Succ(yuz36800)), Succ(yuz36800)) 25.25/11.43 new_mkVBalBranch3Size_r(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, h, ba) -> new_sizeFM(Branch(yuz1590, yuz1591, yuz1592, yuz1593, yuz1594), h, ba) 25.25/11.43 new_esEs4 -> False 25.25/11.43 new_esEs5(Zero, Zero) -> new_esEs7 25.25/11.43 new_esEs10(Pos(Zero), Neg(Succ(yuz15100))) -> new_esEs4 25.25/11.43 new_esEs10(Pos(Zero), Neg(Zero)) -> new_esEs7 25.25/11.43 new_esEs10(Neg(Zero), Pos(Zero)) -> new_esEs7 25.25/11.43 new_esEs5(Succ(yuz161000), Succ(yuz151000)) -> new_esEs5(yuz161000, yuz151000) 25.25/11.43 new_esEs12(Succ(yuz15100), yuz16100) -> new_esEs5(yuz15100, yuz16100) 25.25/11.43 new_sizeFM(EmptyFM, bb, bc) -> Pos(Zero) 25.25/11.43 new_primPlusNat0(Succ(yuz2500), Succ(yuz150)) -> Succ(Succ(new_primPlusNat0(yuz2500, yuz150))) 25.25/11.43 new_esEs10(Neg(Succ(yuz16100)), Neg(yuz1510)) -> new_esEs12(yuz1510, yuz16100) 25.25/11.43 new_primMulInt(Neg(yuz3680)) -> Neg(new_primMulNat(yuz3680)) 25.25/11.43 new_esEs10(Neg(Succ(yuz16100)), Pos(yuz1510)) -> new_esEs6 25.25/11.43 25.25/11.43 The set Q consists of the following terms: 25.25/11.43 25.25/11.43 new_primMulInt(Neg(x0)) 25.25/11.43 new_primPlusNat0(Succ(x0), Succ(x1)) 25.25/11.43 new_esEs10(Neg(Zero), Pos(Succ(x0))) 25.25/11.43 new_esEs10(Pos(Zero), Neg(Succ(x0))) 25.25/11.43 new_esEs5(Zero, Zero) 25.25/11.43 new_esEs5(Succ(x0), Succ(x1)) 25.25/11.43 new_primMulNat0(x0) 25.25/11.43 new_esEs11(x0, Succ(x1)) 25.25/11.43 new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) 25.25/11.43 new_primMulNat(Zero) 25.25/11.43 new_esEs10(Pos(Zero), Pos(Zero)) 25.25/11.43 new_sizeFM(EmptyFM, x0, x1) 25.25/11.43 new_primMulNat(Succ(x0)) 25.25/11.43 new_esEs10(Pos(Succ(x0)), Pos(x1)) 25.25/11.43 new_esEs5(Succ(x0), Zero) 25.25/11.43 new_esEs5(Zero, Succ(x0)) 25.25/11.43 new_esEs12(Succ(x0), x1) 25.25/11.43 new_esEs6 25.25/11.43 new_primPlusNat0(Succ(x0), Zero) 25.25/11.43 new_primPlusNat0(Zero, Succ(x0)) 25.25/11.43 new_esEs10(Pos(Zero), Neg(Zero)) 25.25/11.43 new_esEs10(Neg(Zero), Pos(Zero)) 25.25/11.43 new_lt1(x0, x1) 25.25/11.43 new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) 25.25/11.43 new_esEs10(Pos(Succ(x0)), Neg(x1)) 25.25/11.43 new_esEs10(Neg(Succ(x0)), Pos(x1)) 25.25/11.43 new_esEs10(Neg(Zero), Neg(Zero)) 25.25/11.43 new_esEs7 25.25/11.43 new_esEs10(Neg(Succ(x0)), Neg(x1)) 25.25/11.43 new_sr(x0) 25.25/11.43 new_esEs12(Zero, x0) 25.25/11.43 new_esEs10(Pos(Zero), Pos(Succ(x0))) 25.25/11.43 new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6) 25.25/11.43 new_primMulInt(Pos(x0)) 25.25/11.43 new_esEs10(Neg(Zero), Neg(Succ(x0))) 25.25/11.43 new_esEs4 25.25/11.43 new_primPlusNat0(Zero, Zero) 25.25/11.43 new_esEs11(x0, Zero) 25.25/11.43 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (52) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_mkVBalBranch3MkVBalBranch1(yuz1550, yuz1551, yuz1552, yuz1553, Branch(yuz15540, yuz15541, yuz15542, yuz15543, yuz15544), yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, yuz161, yuz162, True, h, ba) -> new_mkVBalBranch3(yuz161, yuz162, yuz15540, yuz15541, yuz15542, yuz15543, yuz15544, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, h, ba) 25.25/11.43 The graph contains the following edges 11 >= 1, 12 >= 2, 5 > 3, 5 > 4, 5 > 5, 5 > 6, 5 > 7, 6 >= 8, 7 >= 9, 8 >= 10, 9 >= 11, 10 >= 12, 14 >= 13, 15 >= 14 25.25/11.43 25.25/11.43 25.25/11.43 *new_mkVBalBranch3(yuz161, yuz162, yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, yuz161, yuz162, new_lt1(new_sr(new_mkVBalBranch3Size_l(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, h, ba)), new_mkVBalBranch3Size_r(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, h, ba)), h, ba) 25.25/11.43 The graph contains the following edges 3 >= 1, 4 >= 2, 5 >= 3, 6 >= 4, 7 >= 5, 8 >= 6, 9 >= 7, 10 >= 8, 11 >= 9, 12 >= 10, 1 >= 11, 2 >= 12, 13 >= 14, 14 >= 15 25.25/11.43 25.25/11.43 25.25/11.43 *new_mkVBalBranch3MkVBalBranch2(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, Branch(yuz15930, yuz15931, yuz15932, yuz15933, yuz15934), yuz1594, yuz161, yuz162, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, yuz161, yuz162, new_lt1(new_sr(new_mkVBalBranch3Size_l(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, h, ba)), new_mkVBalBranch3Size_r(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz15930, yuz15931, yuz15932, yuz15933, yuz15934, h, ba)), h, ba) 25.25/11.43 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 9 > 6, 9 > 7, 9 > 8, 9 > 9, 9 > 10, 11 >= 11, 12 >= 12, 14 >= 14, 15 >= 15 25.25/11.43 25.25/11.43 25.25/11.43 *new_mkVBalBranch3MkVBalBranch2(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, yuz161, yuz162, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, yuz161, yuz162, new_lt1(new_sr(new_mkVBalBranch3Size_r(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, h, ba)), new_mkVBalBranch3Size_l(yuz1550, yuz1551, yuz1552, yuz1553, yuz1554, yuz1590, yuz1591, yuz1592, yuz1593, yuz1594, h, ba)), h, ba) 25.25/11.43 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 11 >= 11, 12 >= 12, 14 >= 14, 15 >= 15 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (53) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (54) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_glueVBal3GlueVBal1(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, Branch(yuz24140, yuz24141, yuz24142, yuz24143, yuz24144), True, h, ba) -> new_glueVBal3(yuz24140, yuz24141, yuz24142, yuz24143, yuz24144, yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, h, ba) 25.25/11.43 new_glueVBal3GlueVBal2(yuz2350, yuz2351, yuz2352, Branch(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534), yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, True, h, ba) -> new_glueVBal3GlueVBal2(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, new_lt1(new_sr(new_glueVBal3Size_l(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), new_glueVBal3Size_r(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), h, ba) 25.25/11.43 new_glueVBal3GlueVBal2(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, False, h, ba) -> new_glueVBal3GlueVBal1(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, new_lt1(new_sr(new_glueVBal3Size_r(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), new_glueVBal3Size_l(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), h, ba) 25.25/11.43 new_glueVBal3(yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, h, ba) -> new_glueVBal3GlueVBal2(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, new_lt1(new_sr(new_glueVBal3Size_l(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), new_glueVBal3Size_r(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), h, ba) 25.25/11.43 25.25/11.43 The TRS R consists of the following rules: 25.25/11.43 25.25/11.43 new_esEs10(Pos(Succ(yuz16100)), Neg(yuz1510)) -> new_esEs4 25.25/11.43 new_esEs10(Pos(Succ(yuz16100)), Pos(yuz1510)) -> new_esEs11(yuz16100, yuz1510) 25.25/11.43 new_esEs5(Zero, Succ(yuz151000)) -> new_esEs6 25.25/11.43 new_esEs7 -> False 25.25/11.43 new_primPlusNat0(Succ(yuz2500), Zero) -> Succ(yuz2500) 25.25/11.43 new_primPlusNat0(Zero, Succ(yuz150)) -> Succ(yuz150) 25.25/11.43 new_primPlusNat0(Zero, Zero) -> Zero 25.25/11.43 new_esEs5(Succ(yuz161000), Zero) -> new_esEs4 25.25/11.43 new_esEs11(yuz16100, Succ(yuz15100)) -> new_esEs5(yuz16100, yuz15100) 25.25/11.43 new_esEs10(Neg(Zero), Neg(Zero)) -> new_esEs7 25.25/11.43 new_primMulNat(Zero) -> Zero 25.25/11.43 new_esEs10(Pos(Zero), Pos(Succ(yuz15100))) -> new_esEs12(Zero, yuz15100) 25.25/11.43 new_sizeFM(Branch(yuz3220, yuz3221, yuz3222, yuz3223, yuz3224), h, ba) -> yuz3222 25.25/11.43 new_esEs10(Pos(Zero), Pos(Zero)) -> new_esEs7 25.25/11.43 new_esEs10(Neg(Zero), Neg(Succ(yuz15100))) -> new_esEs11(yuz15100, Zero) 25.25/11.43 new_esEs11(yuz16100, Zero) -> new_esEs4 25.25/11.43 new_sr(yuz368) -> new_primMulInt(yuz368) 25.25/11.43 new_primMulInt(Pos(yuz3680)) -> Pos(new_primMulNat(yuz3680)) 25.25/11.43 new_esEs12(Zero, yuz16100) -> new_esEs6 25.25/11.43 new_lt1(yuz161, yuz151) -> new_esEs10(yuz161, yuz151) 25.25/11.43 new_esEs10(Neg(Zero), Pos(Succ(yuz15100))) -> new_esEs6 25.25/11.43 new_primMulNat0(yuz36800) -> new_primPlusNat0(Zero, Succ(yuz36800)) 25.25/11.43 new_esEs6 -> True 25.25/11.43 new_primMulNat(Succ(yuz36800)) -> new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat0(yuz36800), Succ(yuz36800)), Succ(yuz36800)), Succ(yuz36800)), Succ(yuz36800)) 25.25/11.43 new_esEs4 -> False 25.25/11.43 new_esEs5(Zero, Zero) -> new_esEs7 25.25/11.43 new_esEs10(Pos(Zero), Neg(Succ(yuz15100))) -> new_esEs4 25.25/11.43 new_esEs10(Pos(Zero), Neg(Zero)) -> new_esEs7 25.25/11.43 new_esEs10(Neg(Zero), Pos(Zero)) -> new_esEs7 25.25/11.43 new_glueVBal3Size_l(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba) -> new_sizeFM(Branch(yuz2410, yuz2411, yuz2412, yuz2413, yuz2414), h, ba) 25.25/11.43 new_esEs5(Succ(yuz161000), Succ(yuz151000)) -> new_esEs5(yuz161000, yuz151000) 25.25/11.43 new_esEs12(Succ(yuz15100), yuz16100) -> new_esEs5(yuz15100, yuz16100) 25.25/11.43 new_sizeFM(EmptyFM, h, ba) -> Pos(Zero) 25.25/11.43 new_primPlusNat0(Succ(yuz2500), Succ(yuz150)) -> Succ(Succ(new_primPlusNat0(yuz2500, yuz150))) 25.25/11.43 new_esEs10(Neg(Succ(yuz16100)), Neg(yuz1510)) -> new_esEs12(yuz1510, yuz16100) 25.25/11.43 new_primMulInt(Neg(yuz3680)) -> Neg(new_primMulNat(yuz3680)) 25.25/11.43 new_esEs10(Neg(Succ(yuz16100)), Pos(yuz1510)) -> new_esEs6 25.25/11.43 new_glueVBal3Size_r(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba) -> new_sizeFM(Branch(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354), h, ba) 25.25/11.43 25.25/11.43 The set Q consists of the following terms: 25.25/11.43 25.25/11.43 new_primMulInt(Neg(x0)) 25.25/11.43 new_sizeFM(EmptyFM, x0, x1) 25.25/11.43 new_primPlusNat0(Succ(x0), Succ(x1)) 25.25/11.43 new_esEs10(Neg(Zero), Pos(Succ(x0))) 25.25/11.43 new_esEs10(Pos(Zero), Neg(Succ(x0))) 25.25/11.43 new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6) 25.25/11.43 new_esEs5(Zero, Zero) 25.25/11.43 new_esEs5(Succ(x0), Succ(x1)) 25.25/11.43 new_primMulNat0(x0) 25.25/11.43 new_esEs11(x0, Succ(x1)) 25.25/11.43 new_primMulNat(Zero) 25.25/11.43 new_esEs10(Pos(Zero), Pos(Zero)) 25.25/11.43 new_primMulNat(Succ(x0)) 25.25/11.43 new_esEs10(Pos(Succ(x0)), Pos(x1)) 25.25/11.43 new_esEs5(Succ(x0), Zero) 25.25/11.43 new_esEs5(Zero, Succ(x0)) 25.25/11.43 new_esEs12(Succ(x0), x1) 25.25/11.43 new_esEs6 25.25/11.43 new_primPlusNat0(Succ(x0), Zero) 25.25/11.43 new_glueVBal3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) 25.25/11.43 new_primPlusNat0(Zero, Succ(x0)) 25.25/11.43 new_esEs10(Pos(Zero), Neg(Zero)) 25.25/11.43 new_esEs10(Neg(Zero), Pos(Zero)) 25.25/11.43 new_lt1(x0, x1) 25.25/11.43 new_esEs10(Pos(Succ(x0)), Neg(x1)) 25.25/11.43 new_esEs10(Neg(Succ(x0)), Pos(x1)) 25.25/11.43 new_glueVBal3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) 25.25/11.43 new_esEs10(Neg(Zero), Neg(Zero)) 25.25/11.43 new_esEs7 25.25/11.43 new_esEs10(Neg(Succ(x0)), Neg(x1)) 25.25/11.43 new_sr(x0) 25.25/11.43 new_esEs12(Zero, x0) 25.25/11.43 new_esEs10(Pos(Zero), Pos(Succ(x0))) 25.25/11.43 new_primMulInt(Pos(x0)) 25.25/11.43 new_esEs10(Neg(Zero), Neg(Succ(x0))) 25.25/11.43 new_esEs4 25.25/11.43 new_primPlusNat0(Zero, Zero) 25.25/11.43 new_esEs11(x0, Zero) 25.25/11.43 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (55) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_glueVBal3(yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, h, ba) -> new_glueVBal3GlueVBal2(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, new_lt1(new_sr(new_glueVBal3Size_l(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), new_glueVBal3Size_r(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), h, ba) 25.25/11.43 The graph contains the following edges 6 >= 1, 7 >= 2, 8 >= 3, 9 >= 4, 10 >= 5, 1 >= 6, 2 >= 7, 3 >= 8, 4 >= 9, 5 >= 10, 11 >= 12, 12 >= 13 25.25/11.43 25.25/11.43 25.25/11.43 *new_glueVBal3GlueVBal2(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, False, h, ba) -> new_glueVBal3GlueVBal1(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, new_lt1(new_sr(new_glueVBal3Size_r(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), new_glueVBal3Size_l(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), h, ba) 25.25/11.43 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 12 >= 12, 13 >= 13 25.25/11.43 25.25/11.43 25.25/11.43 *new_glueVBal3GlueVBal2(yuz2350, yuz2351, yuz2352, Branch(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534), yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, True, h, ba) -> new_glueVBal3GlueVBal2(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, new_lt1(new_sr(new_glueVBal3Size_l(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), new_glueVBal3Size_r(yuz23530, yuz23531, yuz23532, yuz23533, yuz23534, yuz2410, yuz2411, yuz2412, yuz2413, yuz2414, h, ba)), h, ba) 25.25/11.43 The graph contains the following edges 4 > 1, 4 > 2, 4 > 3, 4 > 4, 4 > 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 12 >= 12, 13 >= 13 25.25/11.43 25.25/11.43 25.25/11.43 *new_glueVBal3GlueVBal1(yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, yuz2410, yuz2411, yuz2412, yuz2413, Branch(yuz24140, yuz24141, yuz24142, yuz24143, yuz24144), True, h, ba) -> new_glueVBal3(yuz24140, yuz24141, yuz24142, yuz24143, yuz24144, yuz2350, yuz2351, yuz2352, yuz2353, yuz2354, h, ba) 25.25/11.43 The graph contains the following edges 10 > 1, 10 > 2, 10 > 3, 10 > 4, 10 > 5, 1 >= 6, 2 >= 7, 3 >= 8, 4 >= 9, 5 >= 10, 12 >= 11, 13 >= 12 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (56) 25.25/11.43 YES 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (57) 25.25/11.43 Obligation: 25.25/11.43 Q DP problem: 25.25/11.43 The TRS P consists of the following rules: 25.25/11.43 25.25/11.43 new_esEs(Succ(yuz416000), Succ(yuz411000)) -> new_esEs(yuz416000, yuz411000) 25.25/11.43 25.25/11.43 R is empty. 25.25/11.43 Q is empty. 25.25/11.43 We have to consider all minimal (P,Q,R)-chains. 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (58) QDPSizeChangeProof (EQUIVALENT) 25.25/11.43 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 25.25/11.43 25.25/11.43 From the DPs we obtained the following set of size-change graphs: 25.25/11.43 *new_esEs(Succ(yuz416000), Succ(yuz411000)) -> new_esEs(yuz416000, yuz411000) 25.25/11.43 The graph contains the following edges 1 > 1, 2 > 2 25.25/11.43 25.25/11.43 25.25/11.43 ---------------------------------------- 25.25/11.43 25.25/11.43 (59) 25.25/11.43 YES 25.25/11.48 EOF