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Haskell 2019-04-01 06.52 pair #433317351
details
property
value
status
complete
benchmark
recip_2.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n018.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.11642 seconds
cpu usage
9.43531
user time
9.13294
system time
0.302371
max virtual memory
1.828352E7
max residence set size
583916.0
stage attributes
key
value
starexec-result
YES
output
7.45/3.56 YES 9.19/4.06 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.19/4.06 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.19/4.06 9.19/4.06 9.19/4.06 H-Termination with start terms of the given HASKELL could be proven: 9.19/4.06 9.19/4.06 (0) HASKELL 9.19/4.06 (1) BR [EQUIVALENT, 0 ms] 9.19/4.06 (2) HASKELL 9.19/4.06 (3) COR [EQUIVALENT, 0 ms] 9.19/4.06 (4) HASKELL 9.19/4.06 (5) Narrow [EQUIVALENT, 23 ms] 9.19/4.06 (6) YES 9.19/4.06 9.19/4.06 9.19/4.06 ---------------------------------------- 9.19/4.06 9.19/4.06 (0) 9.19/4.06 Obligation: 9.19/4.06 mainModule Main 9.19/4.06 module Main where { 9.19/4.06 import qualified Prelude; 9.19/4.06 data Float = Float MyInt MyInt ; 9.19/4.06 9.19/4.06 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.19/4.06 9.19/4.06 data Main.Nat = Succ Main.Nat | Zero ; 9.19/4.06 9.19/4.06 fromIntFloat :: MyInt -> Float; 9.19/4.06 fromIntFloat = primIntToFloat; 9.19/4.06 9.19/4.06 fsFloat :: Float -> Float -> Float; 9.19/4.06 fsFloat = primDivFloat; 9.19/4.06 9.19/4.06 primDivFloat :: Float -> Float -> Float; 9.19/4.06 primDivFloat (Float x1 x2) (Float y1 y2) = Float (srMyInt x1 y2) (srMyInt x2 y1); 9.19/4.06 9.19/4.06 primIntToFloat :: MyInt -> Float; 9.19/4.06 primIntToFloat x = Float x (Main.Pos (Main.Succ Main.Zero)); 9.19/4.06 9.19/4.06 primMulInt :: MyInt -> MyInt -> MyInt; 9.19/4.06 primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y); 9.19/4.06 primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y); 9.19/4.06 primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y); 9.19/4.06 primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y); 9.19/4.06 9.19/4.06 primMulNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.19/4.06 primMulNat Main.Zero Main.Zero = Main.Zero; 9.19/4.06 primMulNat Main.Zero (Main.Succ y) = Main.Zero; 9.19/4.06 primMulNat (Main.Succ x) Main.Zero = Main.Zero; 9.19/4.06 primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y); 9.19/4.06 9.19/4.06 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.19/4.06 primPlusNat Main.Zero Main.Zero = Main.Zero; 9.19/4.06 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 9.19/4.06 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 9.19/4.06 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 9.19/4.06 9.19/4.06 recipFloat :: Float -> Float; 9.19/4.06 recipFloat x = fsFloat (fromIntFloat (Main.Pos (Main.Succ Main.Zero))) x; 9.19/4.06 9.19/4.06 srMyInt :: MyInt -> MyInt -> MyInt; 9.19/4.06 srMyInt = primMulInt; 9.19/4.06 9.19/4.06 } 9.19/4.06 9.19/4.06 ---------------------------------------- 9.19/4.06 9.19/4.06 (1) BR (EQUIVALENT) 9.19/4.06 Replaced joker patterns by fresh variables and removed binding patterns. 9.19/4.06 ---------------------------------------- 9.19/4.06 9.19/4.06 (2) 9.19/4.06 Obligation: 9.19/4.06 mainModule Main 9.19/4.06 module Main where { 9.19/4.06 import qualified Prelude; 9.19/4.06 data Float = Float MyInt MyInt ; 9.19/4.06 9.19/4.06 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.19/4.06 9.19/4.06 data Main.Nat = Succ Main.Nat | Zero ; 9.19/4.06 9.19/4.06 fromIntFloat :: MyInt -> Float; 9.19/4.06 fromIntFloat = primIntToFloat; 9.19/4.06 9.19/4.06 fsFloat :: Float -> Float -> Float; 9.19/4.06 fsFloat = primDivFloat; 9.19/4.06 9.19/4.06 primDivFloat :: Float -> Float -> Float; 9.19/4.06 primDivFloat (Float x1 x2) (Float y1 y2) = Float (srMyInt x1 y2) (srMyInt x2 y1); 9.19/4.06 9.19/4.06 primIntToFloat :: MyInt -> Float; 9.19/4.06 primIntToFloat x = Float x (Main.Pos (Main.Succ Main.Zero)); 9.19/4.06 9.19/4.06 primMulInt :: MyInt -> MyInt -> MyInt; 9.19/4.06 primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y); 9.19/4.06 primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y); 9.19/4.06 primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
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