Examples.Basics.ProofTests:f4 from sbv-4.4

Time bar (total: 5.4s)

analyze0.0ms (0%)

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 16 to 10 computations (37.5% saved)

sample5.2s (96.6%)

Results
566.0ms8256×0valid
714.0ms8252×0valid-sollya
1.0ms4×0exit-sollya
Sollya Eval
PtRival-outSollya-intervalSollya-pointstatusSollya statusRival itersollya-timecheck
(1.2309070354866673e-147 1.3326731493926164e+184)+inf.0(+inf.0 +inf.0)+nan.0validexit00.147262#f
(-7.466714371427965e-64 -1.9368253807587777e-189)5.575182350448891e-127(5.575182350448891e-127 5.575182350448891e-127)+nan.0validexit00.171296#f
(-6.037387488303975e+74 2.1681940688111443e+79)4.700803719117965e+158(4.700803719117965e+158 4.700803719117965e+158)+nan.0validexit00.13466699999999998#f
(6.464376245475684e-259 -1.73566353078701e+230)+inf.0(+inf.0 +inf.0)+nan.0validexit00.215176#f
Sollya timings
Total time spent in Sollya 715.0ms
Bogosity

preprocess144.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
872×fma-neg
639×fma-define
116×unsub-neg
96×distribute-lft-neg-in
70×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032397
197302
2304274
3877274
41927274
52867274
63063274
73069274
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 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 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 x (*.f64 y (fma.f64 x #s(literal -2 binary64) 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 x (*.f64 y (fma.f64 x #s(literal -2 binary64) 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 x (*.f64 y (fma.f64 x #s(literal -2 binary64) 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 x (*.f64 y (fma.f64 x #s(literal -2 binary64) 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 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%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

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)

simplify4.0ms (0.1%)

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))

soundness1.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 15 to 9 computations (40% saved)

preprocess30.0ms (0.6%)

Remove

(sort x y)

Compiler

Compiled 150 to 90 computations (40% saved)

end0.0ms (0%)

Profiling

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