Examples.Basics.ProofTests:f4 from sbv-4.4

Time bar (total: 2.3s)

analyze15.0ms (0.7%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.1s (93.5%)

Memory
0.0MiB live, 637.7MiB allocated
Samples
441.0ms8 256×0valid-sollya
437.0ms8 256×0valid-baseline
407.0ms8 256×0valid-rival
Bogosity

preprocess107.0ms (4.7%)

Memory
5.7MiB live, 20.9MiB allocated
Algorithm
1×egg-herbie
Rules
863×fmm-def
619×fma-define
102×unsub-neg
100×distribute-lft-neg-in
69×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032397
197302
2304274
3877274
41934274
52859274
63055274
73061274
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)) (*.f64 y y)))
(neg.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 x x))
Outputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 y y)))
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal -2 binary64)) y)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) y x) (*.f64 y y))
(fma.f64 x (fma.f64 y #s(literal -2 binary64) x) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 y y)))
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal -2 binary64)) y)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) y x) (*.f64 y y))
(fma.f64 x (fma.f64 y #s(literal -2 binary64) x) (*.f64 y y))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)) (*.f64 y y)))
(neg.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 y y))))
(neg.f64 (fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal -2 binary64)) y))))
(neg.f64 (fma.f64 x (fma.f64 #s(literal -2 binary64) y x) (*.f64 y y)))
(neg.f64 (fma.f64 x (fma.f64 y #s(literal -2 binary64) x) (*.f64 y y)))
(neg.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 y y))))
(neg.f64 (fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal -2 binary64)) y))))
(neg.f64 (fma.f64 x (fma.f64 #s(literal -2 binary64) y x) (*.f64 y y)))
(neg.f64 (fma.f64 x (fma.f64 y #s(literal -2 binary64) x) (*.f64 y y)))
(+.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
Symmetry

(sort x y)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.7%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Compiler

Compiled 30 to 18 computations (40% saved)

simplify2.0ms (0.1%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
11855
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))

soundness0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Stop Event
1×fuel
Compiler

Compiled 15 to 9 computations (40% saved)

preprocess23.0ms (1%)

Memory
2.0MiB live, 33.5MiB allocated
Remove

(sort x y)

Compiler

Compiled 150 to 90 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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