From Rump in a 1983 paper

Time bar (total: 13.6s)

analyze16.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 24 to 17 computations (29.2% saved)

sample12.8s (94%)

Results
4.4s8256×0valid
340.0ms8218×0valid-sollya
23.0ms38×0exit-sollya
Sollya Eval
PtRival-outSollya-intervalSollya-pointstatusSollya statusRival itersollya-timecheck
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.078303#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.078826#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.080633#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.07763900000000001#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.08666#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.08225199999999999#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.10145900000000001#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.082628#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.082624#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.098056#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.04184#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.102539#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.105742#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.084152#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.052502#f
(10864.0 18817.0)1.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.11447500000000001#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.042035#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.083703#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.084275#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.082047#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.07060599999999999#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.096359#f
(10864.0 18817.0)1.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.083028#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.06464199999999999#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.082908#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.045040000000000004#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.070139#f
(10864.0 18817.0)1.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.09554499999999999#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.08303300000000001#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.10459#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.087004#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.034749999999999996#f
(10864.0 18817.0)1.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.082997#f
(10864.0 18817.0)1.0(1.0 1.0)+nan.0validexit00.079733#f
Sollya timings
Total time spent in Sollya 362.0ms
Bogosity

preprocess578.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
844×fma-neg
430×fma-define
154×cancel-sign-sub-inv
145×sub-neg
96×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036409
194381
2266373
3641365
41392365
52312365
62684365
72971365
83045365
93052365
103052365
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 y)))))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(-.f64 (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (neg.f64 y) #s(literal 4 binary64)))
(-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 y) #s(literal 4 binary64)))
(neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(neg.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 y y) #s(literal -2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal -9 binary64))))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 y)))))
(neg.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(fma.f64 (*.f64 y y) #s(literal -2 binary64) (+.f64 (pow.f64 (neg.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64) (fma.f64 y (*.f64 y #s(literal -2 binary64)) (pow.f64 (neg.f64 y) #s(literal 4 binary64))))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune18.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
18.8%
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative
3×+-commutative
2×sub-neg
1×neg-sub0
1×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01755
12355
22855
33055
43155
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Outputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))

soundness1.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 17 to 12 computations (29.4% saved)

preprocess200.0ms (1.5%)

Compiler

Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

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