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Haskell 2019-04-01 06.52 pair #433316836
details
property
value
status
complete
benchmark
FiniteMap_plusFM_C_6.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n088.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
109.424 seconds
cpu usage
141.81
user time
138.855
system time
2.95581
max virtual memory
1.8285568E7
max residence set size
5935124.0
stage attributes
key
value
starexec-result
MAYBE
output
137.93/108.33 MAYBE 140.44/109.08 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 140.44/109.08 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 140.44/109.08 140.44/109.08 140.44/109.08 H-Termination with start terms of the given HASKELL could not be shown: 140.44/109.08 140.44/109.08 (0) HASKELL 140.44/109.08 (1) LR [EQUIVALENT, 0 ms] 140.44/109.08 (2) HASKELL 140.44/109.08 (3) CR [EQUIVALENT, 0 ms] 140.44/109.08 (4) HASKELL 140.44/109.08 (5) IFR [EQUIVALENT, 0 ms] 140.44/109.08 (6) HASKELL 140.44/109.08 (7) BR [EQUIVALENT, 0 ms] 140.44/109.08 (8) HASKELL 140.44/109.08 (9) COR [EQUIVALENT, 0 ms] 140.44/109.08 (10) HASKELL 140.44/109.08 (11) LetRed [EQUIVALENT, 0 ms] 140.44/109.08 (12) HASKELL 140.44/109.08 (13) NumRed [SOUND, 27 ms] 140.44/109.08 (14) HASKELL 140.44/109.08 140.44/109.08 140.44/109.08 ---------------------------------------- 140.44/109.08 140.44/109.08 (0) 140.44/109.08 Obligation: 140.44/109.08 mainModule Main 140.44/109.08 module FiniteMap where { 140.44/109.08 import qualified Main; 140.44/109.08 import qualified Maybe; 140.44/109.08 import qualified Prelude; 140.44/109.08 data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) ; 140.44/109.08 140.44/109.08 instance (Eq a, Eq b) => Eq FiniteMap a b where { 140.44/109.08 (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; 140.44/109.08 } 140.44/109.08 addToFM :: Ord a => FiniteMap a b -> a -> b -> FiniteMap a b; 140.44/109.08 addToFM fm key elt = addToFM_C (\old new ->new) fm key elt; 140.44/109.08 140.44/109.08 addToFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> a -> b -> FiniteMap a b; 140.44/109.08 addToFM_C combiner EmptyFM key elt = unitFM key elt; 140.44/109.08 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 140.44/109.08 | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) 140.44/109.08 | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; 140.44/109.08 140.44/109.08 emptyFM :: FiniteMap b a; 140.44/109.08 emptyFM = EmptyFM; 140.44/109.08 140.44/109.08 findMax :: FiniteMap a b -> (a,b); 140.44/109.08 findMax (Branch key elt _ _ EmptyFM) = (key,elt); 140.44/109.08 findMax (Branch key elt _ _ fm_r) = findMax fm_r; 140.44/109.08 140.44/109.08 findMin :: FiniteMap b a -> (b,a); 140.44/109.08 findMin (Branch key elt _ EmptyFM _) = (key,elt); 140.44/109.08 findMin (Branch key elt _ fm_l _) = findMin fm_l; 140.44/109.08 140.44/109.08 fmToList :: FiniteMap b a -> [(b,a)]; 140.44/109.08 fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm; 140.44/109.08 140.44/109.08 foldFM :: (c -> b -> a -> a) -> a -> FiniteMap c b -> a; 140.44/109.08 foldFM k z EmptyFM = z; 140.44/109.08 foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; 140.44/109.08 140.44/109.08 lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; 140.44/109.08 lookupFM EmptyFM key = Nothing; 140.44/109.08 lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find 140.44/109.08 | key_to_find > key = lookupFM fm_r key_to_find 140.44/109.08 | otherwise = Just elt; 140.44/109.08 140.44/109.08 mkBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 140.44/109.08 mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R 140.44/109.08 | size_r > sIZE_RATIO * size_l = case fm_R of { 140.44/109.08 Branch _ _ _ fm_rl fm_rr | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R 140.44/109.08 | otherwise -> double_L fm_L fm_R; 140.44/109.08 } 140.44/109.08 | size_l > sIZE_RATIO * size_r = case fm_L of { 140.44/109.08 Branch _ _ _ fm_ll fm_lr | sizeFM fm_lr < 2 * sizeFM fm_ll -> single_R fm_L fm_R 140.44/109.08 | otherwise -> double_R fm_L fm_R; 140.44/109.08 } 140.44/109.08 | otherwise = mkBranch 2 key elt fm_L fm_R where { 140.44/109.08 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); 140.44/109.08 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); 140.44/109.08 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; 140.44/109.08 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); 140.44/109.08 size_l = sizeFM fm_L; 140.44/109.08 size_r = sizeFM fm_R; 140.44/109.08 }; 140.44/109.08 140.44/109.08 mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; 140.44/109.08 mkBranch which key elt fm_l fm_r = let { 140.44/109.08 result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; 140.44/109.08 } in result where { 140.44/109.08 balance_ok = True; 140.44/109.08 left_ok = case fm_l of { 140.44/109.08 EmptyFM-> True; 140.44/109.08 Branch left_key _ _ _ _-> let { 140.44/109.08 biggest_left_key = fst (findMax fm_l); 140.44/109.08 } in biggest_left_key < key;
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