exp2 (problem 3.3.7)

Time bar (total: 12.6s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
100%50.4%0%49.6%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample4.6s (36.4%)

Results
1.0ms2048valid
0.0ms1024valid
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0.0ms512valid
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0.0ms512valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
2.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
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0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
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0.0ms256valid
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3.0ms2048valid
0.0ms1024valid
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1.0ms2048valid
1.0ms2048valid
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0.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
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0.0ms1024valid
1.0ms2048valid
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0.0ms256valid
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0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms256valid
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0.0ms256valid
0.0ms1024valid
2.0ms2048valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
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1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
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0.0ms2048valid
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0.0ms512valid
1.0ms2048valid
1.0ms2048valid
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0.0ms1024valid
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0.0ms512valid
1.0ms2048valid
0.0ms256valid
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1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
1.0ms2048valid
0.0ms512valid
0.0ms2048valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
2.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
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1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
2.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms2048valid
0.0ms256valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
4.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms2048valid
0.0ms2048valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms512valid
0.0ms512valid
2.0ms2048valid
0.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
0.0ms2048valid
0.0ms256valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
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0.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
0.0ms2048valid
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1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
2.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
4.0ms2048valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms512valid
3.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms512valid
1.0ms2048valid
2.0ms2048valid
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms512valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
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0.0ms256valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms2048valid
0.0ms512valid
2.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms512valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
2.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms2048valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
1.0ms2048valid
10.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
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0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
53.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms2048valid
0.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
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0.0ms1024valid
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0.0ms256valid
0.0ms512valid
1.0ms2048valid
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1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms512valid
0.0ms512valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
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0.0ms1024valid
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0.0ms256valid
0.0ms512valid
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0.0ms512valid
0.0ms1024valid
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0.0ms1024valid
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3.0ms2048valid
0.0ms256valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
0.0ms512valid
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0.0ms1024valid
0.0ms512valid
1.0ms2048valid
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0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
1.0ms2048valid
5.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
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0.0ms256valid
1.0ms2048valid
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0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms2048valid
0.0ms512valid
10.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
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0.0ms1024valid
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0.0ms256valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
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1.0ms2048valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
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Bogosity

preprocess412.0ms (3.3%)

Algorithm
egg-herbie
Rules
972×distribute-lft-neg-in
866×div-sub
862×fma-neg
786×add0
658×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1321(1.6827261798480097e-162)0-(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
00-0-x
01(271.7412833617584)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-2
00-0-(-.f64 (exp.f64 x) 2)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
156128
2161124
3367124
4618124
51170124
63440124
75614124
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 (neg.f64 (neg.f64 x))))
(neg.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 (neg.f64 (neg.f64 x)))))
Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 (neg.f64 (neg.f64 x))))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(neg.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 (neg.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))
(-.f64 (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) -2)) (exp.f64 x))
(-.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 x))
(-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Symmetry

(abs x)

Compiler

Compiled 55 to 29 computations (47.3% saved)

eval0.0ms (0%)

Compiler

Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
53.4%
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize296.0ms (2.4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (exp.f64 x) 2)
53.4%
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
100.0%
(+.f64 (exp.f64 (neg.f64 x)) -2)
53.3%
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
Compiler

Compiled 45 to 17 computations (62.2% saved)

series7.0ms (0.1%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
1.0ms
x
@-inf
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
1.0ms
x
@inf
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
1.0ms
x
@0
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
1.0ms
x
@0
(+.f64 (exp.f64 (neg.f64 x)) -2)

rewrite258.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1888×prod-diff
882×log1p-expm1-u
421×expm1-log1p-u
114×associate-*r*
106×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01598
122268
2390268
Stop Event
node limit
Counts
4 → 206
Calls
Call 1
Inputs
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) -2)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) 2)
Outputs
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 x)))
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(*.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(*.f64 1 (+.f64 -2 (*.f64 2 (cosh.f64 x))))
(*.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (/.f64 1 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))))
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(fma.f64 1 (+.f64 (exp.f64 x) -2) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 0)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 0)
(+.f64 (exp.f64 x) -2)
(+.f64 -2 (exp.f64 x))
(+.f64 (+.f64 (exp.f64 x) -2) 0)
(+.f64 0 (+.f64 (exp.f64 x) -2))
(*.f64 (+.f64 (exp.f64 x) -2) 1)
(*.f64 1 (+.f64 (exp.f64 x) -2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)))
(*.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(*.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (+.f64 -8 (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 x) 2) -4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))) (+.f64 -8 (exp.f64 (*.f64 x 3)))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 0 (*.f64 (+.f64 (exp.f64 x) -2) 0))))
(/.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 4 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 (exp.f64 x) 2))
(/.f64 (neg.f64 (+.f64 -8 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(/.f64 (neg.f64 (+.f64 -8 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) 0) (-.f64 (+.f64 (exp.f64 x) -2) 0))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) -2) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) -2))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -2)))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) -2)) 1))
(fma.f64 1 (exp.f64 x) -2)
(fma.f64 1 (+.f64 (exp.f64 x) -2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) 0)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) 0)

simplify148.0ms (1.2%)

Algorithm
egg-herbie
Rules
864×add0
858×fma-neg
624×unswap-sqr
492×+-commutative
450×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03009892
19948152
236807808
Stop Event
node limit
Counts
246 → 177
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) 1)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 x 1)
(-.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) 1)
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 x)))
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(*.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(*.f64 1 (+.f64 -2 (*.f64 2 (cosh.f64 x))))
(*.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (/.f64 1 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))))
(/.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3) (+.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 2) (-.f64 0 (*.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 0))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (*.f64 (exp.f64 x) (+.f64 -8 (exp.f64 (*.f64 x 3))))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (*.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (exp.f64 x)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) 1)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (exp.f64 x)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) 2) 1)) (*.f64 (+.f64 (exp.f64 x) 2) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))) (neg.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) -8) (+.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) (-.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) -2))))
(/.f64 (-.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (*.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 2) 0) (-.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 0))
(/.f64 (-.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) 4) (-.f64 (*.f64 2 (cosh.f64 x)) -2))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) (+.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))
(pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 1))
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(fma.f64 1 (exp.f64 x) (neg.f64 (-.f64 2 (exp.f64 x))))
(fma.f64 1 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 0)
(fma.f64 1 (+.f64 (exp.f64 x) -2) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 0)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 0)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) -2))) 1)
(-.f64 (/.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))) (/.f64 8 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 2)) (/.f64 4 (+.f64 (exp.f64 x) 2)))
(*.f64 (+.f64 (exp.f64 x) -2) 1)
(*.f64 1 (+.f64 (exp.f64 x) -2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)))
(*.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(*.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (+.f64 -8 (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 x) 2) -4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))) (+.f64 -8 (exp.f64 (*.f64 x 3)))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 0 (*.f64 (+.f64 (exp.f64 x) -2) 0))))
(/.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 4 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 (exp.f64 x) 2))
(/.f64 (neg.f64 (+.f64 -8 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(/.f64 (neg.f64 (+.f64 -8 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) 0) (-.f64 (+.f64 (exp.f64 x) -2) 0))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) -2) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) -2))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -2)))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) -2)) 1))
(fma.f64 1 (exp.f64 x) -2)
(fma.f64 1 (+.f64 (exp.f64 x) -2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) 0)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) 0)
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 x)))
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(*.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(*.f64 1 (+.f64 -2 (*.f64 2 (cosh.f64 x))))
(*.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (/.f64 1 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))))
(/.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3) (+.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 2) (-.f64 0 (*.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 0))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (*.f64 (exp.f64 x) (+.f64 -8 (exp.f64 (*.f64 x 3))))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (*.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (exp.f64 x)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) 1)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (exp.f64 x)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) 2) 1)) (*.f64 (+.f64 (exp.f64 x) 2) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))) (neg.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) -8) (+.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) (-.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) -2))))
(/.f64 (-.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (*.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 2) 0) (-.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 0))
(/.f64 (-.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) 4) (-.f64 (*.f64 2 (cosh.f64 x)) -2))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) (+.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))
(pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 1))
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(fma.f64 1 (exp.f64 x) (neg.f64 (-.f64 2 (exp.f64 x))))
(fma.f64 1 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 0)
(fma.f64 1 (+.f64 (exp.f64 x) -2) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 0)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 0)
(+.f64 (exp.f64 x) -2)
(+.f64 -2 (exp.f64 x))
(+.f64 (+.f64 (exp.f64 x) -2) 0)
(+.f64 0 (+.f64 (exp.f64 x) -2))
(*.f64 (+.f64 (exp.f64 x) -2) 1)
(*.f64 1 (+.f64 (exp.f64 x) -2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)))
(*.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(*.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (+.f64 -8 (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (exp.f64 x) 2) -4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))) (+.f64 -8 (exp.f64 (*.f64 x 3)))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 0 (*.f64 (+.f64 (exp.f64 x) -2) 0))))
(/.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 4 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 (exp.f64 x) 2))
(/.f64 (neg.f64 (+.f64 -8 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(/.f64 (neg.f64 (+.f64 -8 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) 0) (-.f64 (+.f64 (exp.f64 x) -2) 0))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) -2) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) -2))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -2)))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) -2)) 1))
(fma.f64 1 (exp.f64 x) -2)
(fma.f64 1 (+.f64 (exp.f64 x) -2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) 0)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) 0)
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 (pow.f64 x 2) 1/2)) -1)
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(+.f64 (exp.f64 x) -2)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) 0)
(+.f64 (exp.f64 x) -2)

eval50.0ms (0.4%)

Compiler

Compiled 2801 to 1775 computations (36.6% saved)

prune31.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1698177
Fresh000
Picked112
Done000
Total1709179
Accuracy
100.0%
Counts
179 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(pow.f64 x 2)
53.0%
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) (+.f64 1 (+.f64 (exp.f64 (*.f64 2 x)) -4)))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
53.3%
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
53.4%
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
98.3%
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
98.6%
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
98.7%
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
51.9%
(+.f64 (exp.f64 x) -1)
53.3%
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
Compiler

Compiled 199 to 159 computations (20.1% saved)

localize1.2s (9.8%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
99.9%
(+.f64 1 (+.f64 (exp.f64 (*.f64 2 x)) -4))
99.4%
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) (+.f64 1 (+.f64 (exp.f64 (*.f64 2 x)) -4)))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
53.3%
(+.f64 2 (*.f64 (exp.f64 x) (+.f64 1 (+.f64 (exp.f64 (*.f64 2 x)) -4))))
100.0%
(cosh.f64 x)
95.4%
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
54.3%
(log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))))
53.3%
(+.f64 -2 (*.f64 2 (cosh.f64 x)))
100.0%
(cosh.f64 x)
53.3%
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
100.0%
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
100.0%
(*.f64 1/20160 (pow.f64 x 8))
99.9%
(*.f64 1/360 (pow.f64 x 6))
99.8%
(*.f64 1/12 (pow.f64 x 4))
Compiler

Compiled 214 to 153 computations (28.5% saved)

series177.0ms (1.4%)

Counts
14 → 115
Calls

42 calls:

TimeVariablePointExpression
73.0ms
x
@0
(*.f64 1/20160 (pow.f64 x 8))
44.0ms
x
@inf
(log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))))
29.0ms
x
@-inf
(log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))))
2.0ms
x
@0
(log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))))
2.0ms
x
@inf
(-.f64 (*.f64 2 (cosh.f64 x)) 2)

rewrite246.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
267×log1p-expm1-u
267×expm1-log1p-u
265×add0
262×add-cube-cbrt
261×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040334
1635326
Stop Event
node limit
Counts
14 → 499
Calls
Call 1
Inputs
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/360 (pow.f64 x 6))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
(cosh.f64 x)
(+.f64 -2 (*.f64 2 (cosh.f64 x)))
(log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))))
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(cosh.f64 x)
(+.f64 2 (*.f64 (exp.f64 x) (+.f64 1 (+.f64 (exp.f64 (*.f64 2 x)) -4))))
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) (+.f64 1 (+.f64 (exp.f64 (*.f64 2 x)) -4)))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 2 x)) -4))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
Outputs
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(+.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) 1)
(/.f64 (*.f64 (pow.f64 x 12) 1/1728) (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 0 (*.f64 (*.f64 1/12 (pow.f64 x 4)) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) 0) (-.f64 (*.f64 1/12 (pow.f64 x 4)) 0))
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 12) 1/1728) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/144))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 x 12) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 1/12 (pow.f64 x 4) 0)
(fma.f64 (pow.f64 x 4) 1/12 0)
(fma.f64 1 (*.f64 1/12 (pow.f64 x 4)) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 0)
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 0)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(+.f64 (*.f64 (*.f64 1/360 (pow.f64 x 6)) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/360 (pow.f64 x 6)))) 1)
(/.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3) (+.f64 (*.f64 (pow.f64 x 12) 1/129600) (-.f64 0 (*.f64 (*.f64 1/360 (pow.f64 x 6)) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/129600) 0) (-.f64 (*.f64 1/360 (pow.f64 x 6)) 0))
(pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1)
(pow.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/360)) 3)
(pow.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/360)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/129600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 1/360))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/360 (pow.f64 x 6)))))
(cbrt.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/360 (pow.f64 x 6))))
(log1p.f64 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))
(exp.f64 (log.f64 (*.f64 1/360 (pow.f64 x 6))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/360 (pow.f64 x 6))) 1))
(fma.f64 1/360 (pow.f64 x 6) 0)
(fma.f64 (pow.f64 x 6) 1/360 0)
(fma.f64 1 (*.f64 1/360 (pow.f64 x 6)) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 1/129600)) (*.f64 (pow.f64 x 2) (cbrt.f64 1/360)) 0)
(fma.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (*.f64 (pow.f64 x 3) (sqrt.f64 1/360)) 0)
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) 0)
(+.f64 (*.f64 (*.f64 1/20160 (pow.f64 x 8)) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8)))) 1)
(/.f64 (pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 3) (+.f64 (*.f64 (pow.f64 x 16) 1/406425600) (-.f64 0 (*.f64 (*.f64 1/20160 (pow.f64 x 8)) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 16) 1/406425600) 0) (-.f64 (*.f64 1/20160 (pow.f64 x 8)) 0))
(pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/20160 (pow.f64 x 8))) 3)
(pow.f64 (pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 1/20160)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 16) 1/406425600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8)))))
(cbrt.f64 (pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8))))
(log1p.f64 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8))))
(exp.f64 (log.f64 (*.f64 1/20160 (pow.f64 x 8))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/20160 (pow.f64 x 8))) 1))
(fma.f64 1/20160 (pow.f64 x 8) 0)
(fma.f64 (pow.f64 x 8) 1/20160 0)
(fma.f64 1 (*.f64 1/20160 (pow.f64 x 8)) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 16) 1/406425600)) (cbrt.f64 (*.f64 1/20160 (pow.f64 x 8))) 0)
(fma.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 1/20160)) (*.f64 (pow.f64 x 4) (sqrt.f64 1/20160)) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (/.f64 (pow.f64 x 4) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(*.f64 1 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(*.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 12) 1/1728) (pow.f64 x 6)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (/.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 12) 1/1728) (pow.f64 x 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4))))
(/.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)) 3) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)) 2) (-.f64 0 (*.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)) 0))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 12) 1/1728) (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 12) 1/1728) (pow.f64 x 6))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4))) (neg.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 12) 1/1728)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (pow.f64 x 8) 1/144) (*.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (-.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)) 2) 0) (-.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)) 0))
(pow.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)) 3) 1/3)
(pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))) 1))
(fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2))
(fma.f64 1 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (pow.f64 x 2))
(fma.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 0)
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (pow.f64 x 2))
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
(+.f64 -2 (*.f64 2 (cosh.f64 x)))
(+.f64 -2 (*.f64 (*.f64 2 (cosh.f64 x)) 1))
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(+.f64 (*.f64 (*.f64 2 (cosh.f64 x)) 1) -2)
(*.f64 (fma.f64 2 (cosh.f64 x) -2) 1)
(*.f64 1 (fma.f64 2 (cosh.f64 x) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2) (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)))
(*.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)) (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)))
(*.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3))) (/.f64 1 (+.f64 4 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (*.f64 2 (*.f64 2 (cosh.f64 x)))))))
(*.f64 (+.f64 (*.f64 8 (pow.f64 (cosh.f64 x) 3)) -8) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (+.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) 2)))))
(*.f64 (-.f64 4 (*.f64 4 (pow.f64 (cosh.f64 x) 2))) (/.f64 1 (+.f64 -2 (*.f64 -2 (cosh.f64 x)))))
(*.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) -4) (/.f64 1 (fma.f64 2 (cosh.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (*.f64 2 (*.f64 2 (cosh.f64 x))))) (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (+.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) 2))) (+.f64 (*.f64 8 (pow.f64 (cosh.f64 x) 3)) -8)))
(/.f64 1 (/.f64 (+.f64 -2 (*.f64 -2 (cosh.f64 x))) (-.f64 4 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))
(/.f64 1 (/.f64 (fma.f64 2 (cosh.f64 x) 2) (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) -4)))
(/.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 3) (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 2) (-.f64 0 (*.f64 (fma.f64 2 (cosh.f64 x) -2) 0))))
(/.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3))) (+.f64 4 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (*.f64 2 (*.f64 2 (cosh.f64 x))))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (cosh.f64 x) 3)) -8) (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (+.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) 2))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (cosh.f64 x) 3)) -8) (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (-.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) -2))))
(/.f64 (-.f64 4 (*.f64 4 (pow.f64 (cosh.f64 x) 2))) (+.f64 -2 (*.f64 -2 (cosh.f64 x))))
(/.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) -4) (fma.f64 2 (cosh.f64 x) 2))
(/.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) -4) (-.f64 (*.f64 2 (cosh.f64 x)) -2))
(/.f64 (neg.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3)))) (neg.f64 (+.f64 4 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (*.f64 2 (*.f64 2 (cosh.f64 x)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (cosh.f64 x) 3)) -8)) (neg.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (+.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) 2)))))
(/.f64 (neg.f64 (-.f64 4 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (neg.f64 (+.f64 -2 (*.f64 -2 (cosh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) -4)) (neg.f64 (fma.f64 2 (cosh.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 2) 0) (-.f64 (fma.f64 2 (cosh.f64 x) -2) 0))
(pow.f64 (fma.f64 2 (cosh.f64 x) -2) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 3)
(pow.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 2 (cosh.f64 x) -2)))
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(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))))
(exp.f64 (-.f64 (log.f64 (fma.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2)) (+.f64 x (log.f64 (+.f64 2 (exp.f64 x))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2)) (+.f64 x (log.f64 (+.f64 2 (exp.f64 x))))) 1))
(fma.f64 1 (/.f64 (fma.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 0)
(fma.f64 (fma.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 2)) (cbrt.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))) 0)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))) (sqrt.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))) 0)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))) (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (-.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(*.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 2) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(*.f64 (hypot.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4))) (hypot.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (+.f64 (pow.f64 (exp.f64 2) x) -4)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2)) (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (+.f64 (pow.f64 (exp.f64 2) x) -4))) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 3))))
(/.f64 1 (/.f64 (-.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) (-.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2))))
(/.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 3) (+.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) (-.f64 0 (*.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 0))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (+.f64 (pow.f64 (exp.f64 2) x) -4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2))) (neg.f64 (-.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 3) 1) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (-.f64 1 (*.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) 3) -64) (+.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (pow.f64 (exp.f64 2) x))) (-.f64 16 (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) -4))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) 0) (-.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 0))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (pow.f64 (exp.f64 2) x))) 16) (-.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) -4))
(pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 1))
(fma.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4) 1)
(fma.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 2) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4))) (hypot.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 0)
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 1)
(+.f64 (pow.f64 (exp.f64 2) x) (*.f64 2 (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 0)
(+.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) (*.f64 (+.f64 2 (exp.f64 x)) 0))
(+.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) (*.f64 (exp.f64 x) 0))
(+.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) (*.f64 0 (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) (*.f64 0 (+.f64 2 (exp.f64 x))))
(+.f64 (*.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 2) x))
(+.f64 (*.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 1) 0)
(+.f64 (*.f64 (*.f64 2 (exp.f64 x)) 1) (pow.f64 (exp.f64 2) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))) 1)
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 3) (+.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 2) (-.f64 0 (*.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 0))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 3) (pow.f64 (pow.f64 (exp.f64 2) x) 3)) (+.f64 (*.f64 (*.f64 2 (exp.f64 x)) (*.f64 2 (exp.f64 x))) (-.f64 (pow.f64 (pow.f64 (exp.f64 2) x) 2) (*.f64 (*.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 2) 0) (-.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 0))
(/.f64 (-.f64 (*.f64 (*.f64 2 (exp.f64 x)) (*.f64 2 (exp.f64 x))) (pow.f64 (pow.f64 (exp.f64 2) x) 2)) (-.f64 (*.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 2 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 2 (exp.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(exp.f64 (+.f64 x (log.f64 (+.f64 2 (exp.f64 x)))))
(exp.f64 (*.f64 (+.f64 x (log.f64 (+.f64 2 (exp.f64 x)))) 1))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(fma.f64 (exp.f64 x) 2 (pow.f64 (exp.f64 2) x))
(fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 0)
(fma.f64 1 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 0)
(fma.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 0)
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 0)

simplify257.0ms (2.1%)

Algorithm
egg-herbie
Rules
1106×fma-define
1000×add0
676×times-frac
668×distribute-rgt-in
568×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088324363
1286022534
Stop Event
node limit
Counts
614 → 581
Calls
Call 1
Inputs
(pow.f64 x 2)
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(*.f64 2 (log.f64 x))
(+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/90720 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 4 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 13/4 (pow.f64 x 4)) (*.f64 4 (pow.f64 x 3))))
(+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 13/4 (pow.f64 x 4)) (*.f64 4 (pow.f64 x 3)))))
(+.f64 2 (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 2 x)) 3)))
(+.f64 2 (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 2 x)) 3)))
(+.f64 2 (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 2 x)) 3)))
(+.f64 2 (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 2 x)) 3)))
(+.f64 2 (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 2 x)) 3)))
(+.f64 2 (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 2 x)) 3)))
(+.f64 2 (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 2 x)) 3)))
(+.f64 2 (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 2 x)) 3)))
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 2 x)) 3))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 2 x)) 3))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
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(*.f64 (hypot.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4))) (hypot.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (+.f64 (pow.f64 (exp.f64 2) x) -4)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2)) (/.f64 1 (-.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (+.f64 (pow.f64 (exp.f64 2) x) -4))) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 3))))
(/.f64 1 (/.f64 (-.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) (-.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2))))
(/.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 3) (+.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) (-.f64 0 (*.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 0))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2)) (-.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (+.f64 (pow.f64 (exp.f64 2) x) -4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2))) (neg.f64 (-.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 3) 1) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) (-.f64 1 (*.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) 3) -64) (+.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (pow.f64 (exp.f64 2) x))) (-.f64 16 (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) -4))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2) 0) (-.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 0))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (pow.f64 (exp.f64 2) x))) 16) (-.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) -4))
(pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))))
(exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 1))
(fma.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4) 1)
(fma.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 2) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4))) (hypot.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4))) 0)
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4)) 1)
(+.f64 (pow.f64 (exp.f64 2) x) (*.f64 2 (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 0)
(+.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) (*.f64 (+.f64 2 (exp.f64 x)) 0))
(+.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) (*.f64 (exp.f64 x) 0))
(+.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) (*.f64 0 (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) (*.f64 0 (+.f64 2 (exp.f64 x))))
(+.f64 (*.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 2) x))
(+.f64 (*.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 1) 0)
(+.f64 (*.f64 (*.f64 2 (exp.f64 x)) 1) (pow.f64 (exp.f64 2) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))) 1)
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 3) (+.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 2) (-.f64 0 (*.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 0))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 3) (pow.f64 (pow.f64 (exp.f64 2) x) 3)) (+.f64 (*.f64 (*.f64 2 (exp.f64 x)) (*.f64 2 (exp.f64 x))) (-.f64 (pow.f64 (pow.f64 (exp.f64 2) x) 2) (*.f64 (*.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 2) 0) (-.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 0))
(/.f64 (-.f64 (*.f64 (*.f64 2 (exp.f64 x)) (*.f64 2 (exp.f64 x))) (pow.f64 (pow.f64 (exp.f64 2) x) 2)) (-.f64 (*.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 2 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 2 (exp.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(exp.f64 (+.f64 x (log.f64 (+.f64 2 (exp.f64 x)))))
(exp.f64 (*.f64 (+.f64 x (log.f64 (+.f64 2 (exp.f64 x)))) 1))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(fma.f64 (exp.f64 x) 2 (pow.f64 (exp.f64 2) x))
(fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 0)
(fma.f64 1 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 0)
(fma.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 0)
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 0)
Outputs
(pow.f64 x 2)
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) 1/2))
(fma.f64 (pow.f64 x 2) 1/2 1)
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 1 (fma.f64 (pow.f64 x 6) 1/720 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) 1/24))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(*.f64 2 (log.f64 x))
(+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))
(fma.f64 1/12 (pow.f64 x 2) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))))
(fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 1/12 (pow.f64 x 2) (*.f64 2 (log.f64 x))))
(fma.f64 (pow.f64 x 4) -1/1440 (fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12)))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/90720 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))))
(fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 1/90720 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 2) (*.f64 2 (log.f64 x)))))
(fma.f64 (pow.f64 x 4) -1/1440 (fma.f64 (pow.f64 x 6) 1/90720 (fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(log.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(log.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(log.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(log.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(log.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(log.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(log.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))
(log.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2))
(log.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(log.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))
(pow.f64 x 2)
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3
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(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 3)
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 3) 1/3)
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 2)
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 2))
(fabs.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (+.f64 2 (exp.f64 x))))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 3))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 2 (exp.f64 x)) 3)))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(exp.f64 (+.f64 x (log.f64 (+.f64 2 (exp.f64 x)))))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log.f64 (+.f64 2 (exp.f64 x)))) 1))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(fma.f64 (exp.f64 x) 2 (pow.f64 (exp.f64 2) x))
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 0)
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(fma.f64 1 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))) 0)
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(fma.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x) 0)
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 0)
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) 0)
(fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 2) x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))

eval317.0ms (2.5%)

Compiler

Compiled 14548 to 10978 computations (24.5% saved)

prune108.0ms (0.9%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New6216627
Fresh033
Picked235
Done011
Total62313636
Accuracy
100.0%
Counts
636 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(pow.f64 x 2)
53.3%
(-.f64 (*.f64 2 (exp.f64 (log.f64 (cosh.f64 x)))) 2)
53.3%
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
50.6%
(-.f64 (*.f64 2 1) 2)
53.4%
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
98.3%
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
98.6%
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
98.8%
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
98.7%
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 2)))
51.9%
(+.f64 (exp.f64 x) -1)
94.1%
(exp.f64 (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))))
93.3%
(exp.f64 (*.f64 2 (log.f64 x)))
53.3%
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
Compiler

Compiled 257 to 212 computations (17.5% saved)

localize1.2s (9.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))
99.9%
(*.f64 -1/1440 (pow.f64 x 4))
99.7%
(*.f64 1/12 (pow.f64 x 2))
95.4%
(exp.f64 (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))))
100.0%
(cosh.f64 x)
100.0%
(exp.f64 (log.f64 (cosh.f64 x)))
53.4%
(log.f64 (cosh.f64 x))
53.3%
(-.f64 (*.f64 2 (exp.f64 (log.f64 (cosh.f64 x)))) 2)
95.4%
(exp.f64 (*.f64 2 (log.f64 x)))
100.0%
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
100.0%
(*.f64 1/20160 (pow.f64 x 8))
99.9%
(*.f64 1/360 (pow.f64 x 6))
99.8%
(*.f64 1/12 (pow.f64 x 4))
Compiler

Compiled 193 to 133 computations (31.1% saved)

series81.0ms (0.6%)

Counts
9 → 81
Calls

27 calls:

TimeVariablePointExpression
39.0ms
x
@-inf
(log.f64 (cosh.f64 x))
19.0ms
x
@inf
(log.f64 (cosh.f64 x))
4.0ms
x
@0
(+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))
3.0ms
x
@-inf
(+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))
2.0ms
x
@inf
(+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))

rewrite220.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
987×log1p-expm1-u
324×associate-*r*
232×fma-define
228×associate-*l*
202×add0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033208
1497208
26669208
Stop Event
node limit
Counts
9 → 297
Calls
Call 1
Inputs
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (*.f64 2 (log.f64 x)))
(-.f64 (*.f64 2 (exp.f64 (log.f64 (cosh.f64 x)))) 2)
(log.f64 (cosh.f64 x))
(exp.f64 (log.f64 (cosh.f64 x)))
(exp.f64 (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))))
(*.f64 1/12 (pow.f64 x 2))
(*.f64 -1/1440 (pow.f64 x 4))
(+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 12) 1/129600) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(*.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1)
(*.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(*.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2)) (/.f64 1 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))) (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2))))
(/.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3) (+.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2) (-.f64 0 (*.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 0))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000)) (+.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000)) (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2) (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2))) (neg.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2) (*.f64 (pow.f64 x 12) 1/129600)) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2) 0) (-.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 0))
(pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2))
(log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 1))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 6) 1/360 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 1/129600)) (*.f64 (pow.f64 x 2) (cbrt.f64 1/360)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 0)
(fma.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (*.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) 0)
(+.f64 (pow.f64 x 2) (*.f64 x 0))
(+.f64 (pow.f64 x 2) (*.f64 0 x))
(+.f64 0 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(*.f64 x x)
(*.f64 (pow.f64 x 2) 1)
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 8))) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 4) (-.f64 0 (*.f64 (pow.f64 x 2) 0))))
(/.f64 (-.f64 (pow.f64 x 4) 0) (-.f64 (pow.f64 x 2) 0))
(pow.f64 x 2)
(pow.f64 (pow.f64 x 6) 1/3)
(pow.f64 (pow.f64 x 4) 1/2)
(pow.f64 (pow.f64 x 2) 1)
(pow.f64 (exp.f64 2) (log.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)
(pow.f64 (pow.f64 (exp.f64 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 1) (log.f64 (pow.f64 x 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x 2))) 2)) (cbrt.f64 (log.f64 (pow.f64 x 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 x 2)))) (sqrt.f64 (log.f64 (pow.f64 x 2))))
(sqrt.f64 (pow.f64 x 4))
(fabs.f64 (pow.f64 x 2))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(fma.f64 x x 0)
(fma.f64 1 (pow.f64 x 2) 0)
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(*.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 (log.f64 (pow.f64 x 2)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (log.f64 (pow.f64 x 2)) 2)) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 (log.f64 (pow.f64 x 2)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))))) (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))) (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (log.f64 (pow.f64 x 2)) 2))))
(/.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 3) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 2) (-.f64 0 (*.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 0))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 (log.f64 (pow.f64 x 2)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 x 2)) 2) (-.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 1/12 (*.f64 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (log.f64 (pow.f64 x 2)) 2)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 (log.f64 (pow.f64 x 2)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (log.f64 (pow.f64 x 2)) 2))) (neg.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x 2)) 2) (*.f64 (pow.f64 x 4) 1/144)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 2) 0) (-.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 0))
(pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 2))
(log.f64 (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 (pow.f64 x 2)) 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 1))
(fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))
(fma.f64 2 (log.f64 x) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 (log.f64 x) 2 (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) 1/12 (log.f64 (pow.f64 x 2)))
(fma.f64 1 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 1 (*.f64 1/12 (pow.f64 x 2)) (log.f64 (pow.f64 x 2)))
(fma.f64 1 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 2))) (log.f64 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x 2))) 2) (cbrt.f64 (log.f64 (pow.f64 x 2))) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 0)
(fma.f64 (*.f64 x (sqrt.f64 1/12)) (*.f64 x (sqrt.f64 1/12)) (log.f64 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 x 2))) (sqrt.f64 (log.f64 (pow.f64 x 2))) (*.f64 1/12 (pow.f64 x 2)))

simplify205.0ms (1.6%)

Algorithm
egg-herbie
Rules
886×fma-define
830×+-commutative
732×log-prod
722×add0
478×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066413655
1206513095
2740513095
Stop Event
node limit
Counts
378 → 443
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/45 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (+.f64 (*.f64 -17/2520 (pow.f64 x 8)) (+.f64 (*.f64 1/45 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/25920 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(exp.f64 (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))) (*.f64 1/1440 (pow.f64 x 4))))
(exp.f64 (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))) (*.f64 1/1440 (pow.f64 x 4))))
(exp.f64 (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))) (*.f64 1/1440 (pow.f64 x 4))))
(exp.f64 (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))) (*.f64 1/1440 (pow.f64 x 4))))
(exp.f64 (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))) (*.f64 1/1440 (pow.f64 x 4))))
(exp.f64 (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))) (*.f64 1/1440 (pow.f64 x 4))))
(exp.f64 (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))) (*.f64 1/1440 (pow.f64 x 4))))
(exp.f64 (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))) (*.f64 1/1440 (pow.f64 x 4))))
(*.f64 2 (log.f64 x))
(*.f64 1/12 (pow.f64 x 2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 1/12 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 1/12 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 1/12 (pow.f64 x 2)))
(*.f64 1/12 (pow.f64 x 2))
(+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 12) 1/129600) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(*.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1)
(*.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(*.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2)) (/.f64 1 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))) (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2))))
(/.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3) (+.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2) (-.f64 0 (*.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 0))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000)) (+.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000)) (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2) (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2))) (neg.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2) (*.f64 (pow.f64 x 12) 1/129600)) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2) 0) (-.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 0))
(pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2))
(log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3))
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(fma.f64 (pow.f64 (exp.f64 -1/1440) (pow.f64 x 4)) (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 (pow.f64 x 2)) 1/12)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -1/1440 (*.f64 1/12 (pow.f64 x 2)))) (pow.f64 x 2))) 2) (cbrt.f64 (*.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -1/1440 (*.f64 1/12 (pow.f64 x 2)))) (pow.f64 x 2))) 0)
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -1/1440 (*.f64 1/12 (pow.f64 x 2)))) (pow.f64 x 2))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -1/1440 (*.f64 1/12 (pow.f64 x 2)))) (pow.f64 x 2))) 0)
(+.f64 (*.f64 1/12 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 1/12 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 2)))) 1)
(/.f64 (*.f64 (pow.f64 x 6) 1/1728) (+.f64 (*.f64 (pow.f64 x 4) 1/144) (-.f64 0 (*.f64 (*.f64 1/12 (pow.f64 x 2)) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) 0) (-.f64 (*.f64 1/12 (pow.f64 x 2)) 0))
(pow.f64 (*.f64 1/12 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/1728) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/144))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/12 (pow.f64 x 2))) 1))
(fma.f64 1/12 (pow.f64 x 2) 0)
(fma.f64 (pow.f64 x 2) 1/12 0)
(fma.f64 1 (*.f64 1/12 (pow.f64 x 2)) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 2))) 0)
(fma.f64 (*.f64 x (sqrt.f64 1/12)) (*.f64 x (sqrt.f64 1/12)) 0)
(+.f64 (*.f64 (pow.f64 x 4) -1/1440) 0)
(+.f64 0 (*.f64 (pow.f64 x 4) -1/1440))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/1440))) 1)
(/.f64 (*.f64 (pow.f64 x 12) -1/2985984000) (+.f64 (*.f64 (pow.f64 x 8) 1/2073600) (-.f64 0 (*.f64 (*.f64 (pow.f64 x 4) -1/1440) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/2073600) 0) (-.f64 (*.f64 (pow.f64 x 4) -1/1440) 0))
(pow.f64 (*.f64 (pow.f64 x 4) -1/1440) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -1/1440)) 3)
(pow.f64 (*.f64 (pow.f64 x 12) -1/2985984000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/1440)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/2073600))
(log.f64 (pow.f64 (exp.f64 -1/1440) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/1440))))
(cbrt.f64 (*.f64 (pow.f64 x 12) -1/2985984000))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/1440)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/1440)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/1440)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/1440)) 1))
(fma.f64 (pow.f64 x 4) -1/1440 0)
(fma.f64 -1/1440 (pow.f64 x 4) 0)
(fma.f64 1 (*.f64 (pow.f64 x 4) -1/1440) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/2073600)) (cbrt.f64 (*.f64 (pow.f64 x 4) -1/1440)) 0)
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/1440)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1/1440)) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/144) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (pow.f64 x 2)) 2) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(*.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 1)
(*.f64 1 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(*.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 (log.f64 (pow.f64 x 2)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (log.f64 (pow.f64 x 2)) 2)) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 (log.f64 (pow.f64 x 2)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))))) (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))) (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (log.f64 (pow.f64 x 2)) 2))))
(/.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 3) (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 2) (-.f64 0 (*.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 0))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 (log.f64 (pow.f64 x 2)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 x 2)) 2) (-.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 1/12 (*.f64 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (log.f64 (pow.f64 x 2)) 2)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 (log.f64 (pow.f64 x 2)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (log.f64 (pow.f64 x 2)) 2))) (neg.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x 2)) 2) (*.f64 (pow.f64 x 4) 1/144)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 2) 0) (-.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 0))
(pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 2))
(log.f64 (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 (pow.f64 x 2)) 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 1))
(fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))
(fma.f64 2 (log.f64 x) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 (log.f64 x) 2 (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) 1/12 (log.f64 (pow.f64 x 2)))
(fma.f64 1 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 1 (*.f64 1/12 (pow.f64 x 2)) (log.f64 (pow.f64 x 2)))
(fma.f64 1 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 2))) (log.f64 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x 2))) 2) (cbrt.f64 (log.f64 (pow.f64 x 2))) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 0)
(fma.f64 (*.f64 x (sqrt.f64 1/12)) (*.f64 x (sqrt.f64 1/12)) (log.f64 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 x 2))) (sqrt.f64 (log.f64 (pow.f64 x 2))) (*.f64 1/12 (pow.f64 x 2)))
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2))
(fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) -1/12))
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/45 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/12 (pow.f64 x 4) (fma.f64 1/45 (pow.f64 x 6) (*.f64 (pow.f64 x 2) 1/2)))
(fma.f64 (pow.f64 x 4) -1/12 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 6) 1/45)))
(+.f64 (*.f64 -1/12 (pow.f64 x 4)) (+.f64 (*.f64 -17/2520 (pow.f64 x 8)) (+.f64 (*.f64 1/45 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/12 (pow.f64 x 4) (fma.f64 -17/2520 (pow.f64 x 8) (fma.f64 1/45 (pow.f64 x 6) (*.f64 (pow.f64 x 2) 1/2))))
(fma.f64 (pow.f64 x 4) -1/12 (fma.f64 (pow.f64 x 8) -17/2520 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 6) 1/45))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(log.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(log.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(log.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(log.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(log.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(log.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(log.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
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1
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(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (*.f64 2 (log.f64 x)) 2)) (fma.f64 (pow.f64 x 2) 1/12 (*.f64 (log.f64 x) -2)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/1728) (pow.f64 (log.f64 (pow.f64 x 2)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/144) (*.f64 (log.f64 (pow.f64 x 2)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 1/1728 (pow.f64 (*.f64 2 (log.f64 x)) 3))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/144 (*.f64 (*.f64 2 (log.f64 x)) (+.f64 (*.f64 2 (log.f64 x)) (*.f64 -1/12 (pow.f64 x 2)))))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 x 6) 1/1728 (*.f64 8 (pow.f64 (log.f64 x) 3))) (fma.f64 (*.f64 2 (log.f64 x)) (fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) -1/12)) (*.f64 (pow.f64 x 4) 1/144))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (log.f64 (pow.f64 x 2)) 2))) (neg.f64 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (*.f64 2 (log.f64 x)) 2))) (neg.f64 (fma.f64 1/12 (pow.f64 x 2) (*.f64 (log.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (log.f64 x)) 2) (*.f64 (pow.f64 x 4) -1/144)) (fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) -1/12)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x 2)) 2) (*.f64 (pow.f64 x 4) 1/144)) (-.f64 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/144) (pow.f64 (*.f64 2 (log.f64 x)) 2))) (neg.f64 (fma.f64 1/12 (pow.f64 x 2) (*.f64 (log.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (log.f64 x)) 2) (*.f64 (pow.f64 x 4) -1/144)) (fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) -1/12)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 2) 0) (-.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 0))
(/.f64 (pow.f64 (fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12)) 2) (fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12)))
(pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 1)
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 3)
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 3) 1/3)
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(pow.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 2)
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 2))
(sqrt.f64 (pow.f64 (fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12)) 2))
(fabs.f64 (fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12)))
(log.f64 (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 (pow.f64 x 2)) 1/12)))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))))))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 3))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(expm1.f64 (log1p.f64 (fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))))
(log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 1))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 (log.f64 x) 2 (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 (pow.f64 x 2) 1/12 (log.f64 (pow.f64 x 2)))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 1 (log.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 1 (*.f64 1/12 (pow.f64 x 2)) (log.f64 (pow.f64 x 2)))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 1 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2))) 0)
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 0)
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 2))) (log.f64 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/144)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/12)) (*.f64 2 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x 2))) 2) (cbrt.f64 (log.f64 (pow.f64 x 2))) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 2) (log.f64 (pow.f64 x 2)))) 0)
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 (*.f64 x (sqrt.f64 1/12)) (*.f64 x (sqrt.f64 1/12)) (log.f64 (pow.f64 x 2)))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/12)) 2) (*.f64 2 (log.f64 x)))
(+.f64 (*.f64 2 (log.f64 x)) (pow.f64 (*.f64 x (sqrt.f64 1/12)) 2))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 x 2))) (sqrt.f64 (log.f64 (pow.f64 x 2))) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 -2 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 2 (log.f64 x) (*.f64 (pow.f64 x 2) 1/12))

eval256.0ms (2%)

Compiler

Compiled 11262 to 8759 computations (22.2% saved)

prune92.0ms (0.7%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New5693572
Fresh044
Picked235
Done134
Total57213585
Accuracy
100.0%
Counts
585 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.7%
(pow.f64 (pow.f64 x 6) 1/3)
92.9%
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
53.3%
(-.f64 (*.f64 2 (exp.f64 (log.f64 (cosh.f64 x)))) 2)
53.3%
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
53.4%
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
98.3%
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
98.6%
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
98.8%
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
98.7%
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 2)))
51.9%
(+.f64 (exp.f64 x) -1)
97.8%
(*.f64 x x)
94.1%
(exp.f64 (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))))
53.3%
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
Compiler

Compiled 215 to 174 computations (19.1% saved)

localize503.0ms (4%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
95.0%
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
65.7%
(pow.f64 (pow.f64 x 6) 1/3)
9.0%
(+.f64 (exp.f64 x) -1)
100.0%
(pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 2)
100.0%
(*.f64 1/20160 (pow.f64 x 8))
99.9%
(*.f64 1/360 (pow.f64 x 6))
99.7%
(*.f64 (pow.f64 x 2) (sqrt.f64 1/12))
Compiler

Compiled 130 to 95 computations (26.9% saved)

series106.0ms (0.8%)

Counts
5 → 48
Calls

15 calls:

TimeVariablePointExpression
61.0ms
x
@-inf
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
24.0ms
x
@0
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
6.0ms
x
@inf
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
2.0ms
x
@0
(pow.f64 (pow.f64 x 6) 1/3)
2.0ms
x
@-inf
(pow.f64 (pow.f64 x 6) 1/3)

rewrite132.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1110×log1p-expm1-u
1110×expm1-log1p-u
524×prod-diff
172×associate-*r*
126×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02489
131384
2361684
Stop Event
node limit
Counts
5 → 165
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 2) (sqrt.f64 1/12))
(pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 2)
(+.f64 (exp.f64 x) -1)
(pow.f64 (pow.f64 x 6) 1/3)
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
Outputs
(+.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 0)
(+.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (*.f64 (pow.f64 x 2) 0))
(+.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (*.f64 (sqrt.f64 1/12) 0))
(+.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (*.f64 0 (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (*.f64 0 (sqrt.f64 1/12)))
(+.f64 0 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))) 1)
(/.f64 (pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 3) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 0 (*.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 0))))
(/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 0) (-.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 0))
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 3) 1/3)
(pow.f64 (*.f64 x (pow.f64 1/12 1/4)) 2)
(sqrt.f64 (*.f64 1/12 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/12)) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 6) (*.f64 1/12 (sqrt.f64 1/12))))
(cbrt.f64 (*.f64 (*.f64 1/12 (sqrt.f64 1/12)) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 1))
(fma.f64 (pow.f64 x 2) (sqrt.f64 1/12) 0)
(fma.f64 (sqrt.f64 1/12) (pow.f64 x 2) 0)
(fma.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 0)
(fma.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 0)
(fma.f64 (*.f64 x (pow.f64 1/12 1/4)) (*.f64 x (pow.f64 1/12 1/4)) 0)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (+.f64 0 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 0)
(+.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 0))
(+.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 0 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 0 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 1)
(*.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))
(*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 1)
(*.f64 1 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4)))
(*.f64 (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4)) (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))) (*.f64 (sqrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(*.f64 (*.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (sqrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))) (sqrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(*.f64 (*.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (cbrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(/.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (+.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4) (-.f64 0 (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 0))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))) (*.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4)))) (-.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4) 0) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 0))
(sqrt.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4))
(log.f64 (exp.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 0)
(fma.f64 1 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4)) (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) -1))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) -1)) (sqrt.f64 (+.f64 (exp.f64 x) -1)))
(*.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))) (+.f64 -1 (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 3) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 2) (-.f64 0 (*.f64 (+.f64 (exp.f64 x) -1) 0))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (neg.f64 (+.f64 -1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 2) 0) (-.f64 (+.f64 (exp.f64 x) -1) 0))
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -1)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -1)))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) -1)) 1))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 1 (+.f64 (exp.f64 x) -1) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -1)) 0)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -1)) (sqrt.f64 (+.f64 (exp.f64 x) -1)) 0)
(+.f64 (pow.f64 x 2) 0)
(+.f64 (pow.f64 x 2) (*.f64 x 0))
(+.f64 (pow.f64 x 2) (*.f64 0 x))
(+.f64 0 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(*.f64 x x)
(*.f64 (pow.f64 x 2) 1)
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 1 (*.f64 2 (log.f64 x))) (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 2 (log.f64 x))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 2))
(*.f64 (pow.f64 (pow.f64 x 4) 1/3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 4) (-.f64 0 (*.f64 (pow.f64 x 2) 0))))
(/.f64 (-.f64 (pow.f64 x 4) 0) (-.f64 (pow.f64 x 2) 0))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 2)) (log.f64 x)))
(fma.f64 x x 0)
(fma.f64 1 (pow.f64 x 2) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 0)
(+.f64 (pow.f64 x 2) 0)
(+.f64 (pow.f64 x 2) (*.f64 x 0))
(+.f64 (pow.f64 x 2) (*.f64 0 x))
(+.f64 0 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(*.f64 x x)
(*.f64 (pow.f64 x 2) 1)
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 1 (*.f64 2 (log.f64 x))) (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 2 (log.f64 x))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 2))
(*.f64 (pow.f64 (pow.f64 x 4) 1/3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 4) (-.f64 0 (*.f64 (pow.f64 x 2) 0))))
(/.f64 (-.f64 (pow.f64 x 4) 0) (-.f64 (pow.f64 x 2) 0))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 2)) (log.f64 x)))
(fma.f64 x x 0)
(fma.f64 1 (pow.f64 x 2) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 0)

simplify109.0ms (0.9%)

Algorithm
egg-herbie
Rules
1128×unswap-sqr
941×add0
846×fma-neg
548×fma-define
476×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03645385
111384795
239084729
Stop Event
node limit
Counts
213 → 200
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (+.f64 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 -1/4 (pow.f64 (sqrt.f64 1/12) 4)) (*.f64 1/4 (pow.f64 (sqrt.f64 1/12) 4)))) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (+.f64 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 -1/4 (pow.f64 (sqrt.f64 1/12) 4)) (*.f64 1/4 (pow.f64 (sqrt.f64 1/12) 4)))) (+.f64 (*.f64 (pow.f64 x 8) (+.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 1/12) 6)) (*.f64 1/8 (pow.f64 (sqrt.f64 1/12) 6)))) (pow.f64 x 2))))
(*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2))
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/12) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/12) 3)) 2)) (pow.f64 x 4))) (+.f64 (*.f64 5/64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 6)))) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))))
(*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2))
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/12) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/12) 3)) 2)) (pow.f64 x 4))) (+.f64 (*.f64 5/64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 6)))) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(exp.f64 (*.f64 2 (*.f64 (log.f64 x) (log.f64 (E.f64)))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 x) (log.f64 (E.f64)))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 x) (log.f64 (E.f64)))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 x) (log.f64 (E.f64)))))
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 1 x)))))
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 1 x)))))
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 1 x)))))
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 1 x)))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(+.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 0)
(+.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (*.f64 (pow.f64 x 2) 0))
(+.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (*.f64 (sqrt.f64 1/12) 0))
(+.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (*.f64 0 (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) (*.f64 0 (sqrt.f64 1/12)))
(+.f64 0 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))) 1)
(/.f64 (pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 3) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 0 (*.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 0))))
(/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 0) (-.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 0))
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 3) 1/3)
(pow.f64 (*.f64 x (pow.f64 1/12 1/4)) 2)
(sqrt.f64 (*.f64 1/12 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/12)) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 6) (*.f64 1/12 (sqrt.f64 1/12))))
(cbrt.f64 (*.f64 (*.f64 1/12 (sqrt.f64 1/12)) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 1))
(fma.f64 (pow.f64 x 2) (sqrt.f64 1/12) 0)
(fma.f64 (sqrt.f64 1/12) (pow.f64 x 2) 0)
(fma.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)) 0)
(fma.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 0)
(fma.f64 (*.f64 x (pow.f64 1/12 1/4)) (*.f64 x (pow.f64 1/12 1/4)) 0)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (+.f64 0 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 0)
(+.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 0))
(+.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 0 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 0 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 1)
(*.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))
(*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 1)
(*.f64 1 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4)))
(*.f64 (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4)) (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))) (*.f64 (sqrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(*.f64 (*.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (sqrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))))) (sqrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(*.f64 (*.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (cbrt.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12)))))
(/.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (+.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4) (-.f64 0 (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 0))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))) (*.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4)))) (-.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4) 0) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 0))
(sqrt.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4))
(log.f64 (exp.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 0)
(fma.f64 1 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 4)) (cbrt.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) -1))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) -1)) (sqrt.f64 (+.f64 (exp.f64 x) -1)))
(*.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))) (+.f64 -1 (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 3) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 2) (-.f64 0 (*.f64 (+.f64 (exp.f64 x) -1) 0))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (neg.f64 (+.f64 -1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 2) 0) (-.f64 (+.f64 (exp.f64 x) -1) 0))
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -1)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -1)))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) -1)) 1))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 1 (+.f64 (exp.f64 x) -1) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -1)) 0)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -1)) (sqrt.f64 (+.f64 (exp.f64 x) -1)) 0)
(+.f64 (pow.f64 x 2) 0)
(+.f64 (pow.f64 x 2) (*.f64 x 0))
(+.f64 (pow.f64 x 2) (*.f64 0 x))
(+.f64 0 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(*.f64 x x)
(*.f64 (pow.f64 x 2) 1)
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 1 (*.f64 2 (log.f64 x))) (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 2 (log.f64 x))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 2))
(*.f64 (pow.f64 (pow.f64 x 4) 1/3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 4) (-.f64 0 (*.f64 (pow.f64 x 2) 0))))
(/.f64 (-.f64 (pow.f64 x 4) 0) (-.f64 (pow.f64 x 2) 0))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 2)) (log.f64 x)))
(fma.f64 x x 0)
(fma.f64 1 (pow.f64 x 2) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 0)
(+.f64 (pow.f64 x 2) 0)
(+.f64 (pow.f64 x 2) (*.f64 x 0))
(+.f64 (pow.f64 x 2) (*.f64 0 x))
(+.f64 0 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(*.f64 x x)
(*.f64 (pow.f64 x 2) 1)
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 1 (*.f64 2 (log.f64 x))) (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 2 (log.f64 x))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 2))
(*.f64 (pow.f64 (pow.f64 x 4) 1/3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 4) (-.f64 0 (*.f64 (pow.f64 x 2) 0))))
(/.f64 (-.f64 (pow.f64 x 4) 0) (-.f64 (pow.f64 x 2) 0))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 2)) (log.f64 x)))
(fma.f64 x x 0)
(fma.f64 1 (pow.f64 x 2) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 0)
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (+.f64 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 -1/4 (pow.f64 (sqrt.f64 1/12) 4)) (*.f64 1/4 (pow.f64 (sqrt.f64 1/12) 4)))) (pow.f64 x 2)))
(fma.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (+.f64 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 -1/4 (pow.f64 (sqrt.f64 1/12) 4)) (*.f64 1/4 (pow.f64 (sqrt.f64 1/12) 4)))) (+.f64 (*.f64 (pow.f64 x 8) (+.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 1/12) 6)) (*.f64 1/8 (pow.f64 (sqrt.f64 1/12) 6)))) (pow.f64 x 2))))
(fma.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2))
(*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2))
(*.f64 (pow.f64 x 4) 1/12)
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/12) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/12) 3)) 2)) (pow.f64 x 4))) (+.f64 (*.f64 5/64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 6)))) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 1/12) 6)) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/12) 3)) 2)) (pow.f64 x 4)) (+.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2) (pow.f64 x 2)) (/.f64 5/64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 6)))))
(-.f64 (+.f64 (/.f64 135 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2))) (/.f64 (+.f64 108 (pow.f64 (/.f64 -3/2 (sqrt.f64 1/12)) 2)) (pow.f64 x 4)))
(+.f64 (fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2)) (-.f64 (/.f64 135 (pow.f64 x 4)) (/.f64 (+.f64 108 (pow.f64 (/.f64 -3/2 (sqrt.f64 1/12)) 2)) (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2))
(*.f64 (pow.f64 x 4) 1/12)
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/12) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/12) 3)) 2)) (pow.f64 x 4))) (+.f64 (*.f64 5/64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 6)))) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2)) (pow.f64 x 2))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 1/12) 6)) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/12) 3)) 2)) (pow.f64 x 4)) (+.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 2) (pow.f64 x 2)) (/.f64 5/64 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 1/12) 6)))))
(-.f64 (+.f64 (/.f64 135 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2))) (/.f64 (+.f64 108 (pow.f64 (/.f64 -3/2 (sqrt.f64 1/12)) 2)) (pow.f64 x 4)))
(+.f64 (fma.f64 (pow.f64 x 4) 1/12 (pow.f64 x 2)) (-.f64 (/.f64 135 (pow.f64 x 4)) (/.f64 (+.f64 108 (pow.f64 (/.f64 -3/2 (sqrt.f64 1/12)) 2)) (pow.f64 x 4))))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (pow.f64 x 2) 1/2))
(fma.f64 (pow.f64 x 2) 1/2 x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 x (fma.f64 (pow.f64 x 2) 1/2 (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 (pow.f64 x 2) 1/2 x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 x (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (fma.f64 (pow.f64 x 4) 1/24 (*.f64 1/6 (pow.f64 x 3))) (fma.f64 (pow.f64 x 2) 1/2 x))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(exp.f64 (*.f64 2 (*.f64 (log.f64 x) (log.f64 (E.f64)))))
(pow.f64 x 2)
(exp.f64 (*.f64 2 (*.f64 (log.f64 x) (log.f64 (E.f64)))))
(pow.f64 x 2)
(exp.f64 (*.f64 2 (*.f64 (log.f64 x) (log.f64 (E.f64)))))
(pow.f64 x 2)
(exp.f64 (*.f64 2 (*.f64 (log.f64 x) (log.f64 (E.f64)))))
(pow.f64 x 2)
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 1 x)))))
(exp.f64 (*.f64 -2 (neg.f64 (log.f64 x))))
(pow.f64 (exp.f64 -2) (neg.f64 (log.f64 x)))
(pow.f64 (/.f64 1 x) -2)
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 1 x)))))
(exp.f64 (*.f64 -2 (neg.f64 (log.f64 x))))
(pow.f64 (exp.f64 -2) (neg.f64 (log.f64 x)))
(pow.f64 (/.f64 1 x) -2)
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 1 x)))))
(exp.f64 (*.f64 -2 (neg.f64 (log.f64 x))))
(pow.f64 (exp.f64 -2) (neg.f64 (log.f64 x)))
(pow.f64 (/.f64 1 x) -2)
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 1 x)))))
(exp.f64 (*.f64 -2 (neg.f64 (log.f64 x))))
(pow.f64 (exp.f64 -2) (neg.f64 (log.f64 x)))
(pow.f64 (/.f64 1 x) -2)
(exp.f64 (*.f64 2 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(exp.f64 (*.f64 2 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))
(exp.f64 (*.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
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(/.f64 (+.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (+.f64 -1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))) (+.f64 -1 (exp.f64 (*.f64 x 3)))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 -1 (exp.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (+.f64 -1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 3) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 2) (-.f64 0 (*.f64 (+.f64 (exp.f64 x) -1) 0))))
(expm1.f64 x)
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 -1 (exp.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x 3))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 -1 (exp.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (+.f64 -1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 -1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 -1 (exp.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (+.f64 -1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (+.f64 -1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 2) 0) (-.f64 (+.f64 (exp.f64 x) -1) 0))
(expm1.f64 x)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -1)) 2)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 2))
(expm1.f64 x)
(log.f64 (exp.f64 (+.f64 (exp.f64 x) -1)))
(expm1.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) -1))))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -1) 3))
(expm1.f64 x)
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -1)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -1)))
(expm1.f64 x)
(exp.f64 (log.f64 (+.f64 (exp.f64 x) -1)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) -1)) 1))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 1 (+.f64 (exp.f64 x) -1) 0)
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -1)) 0)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -1)) (sqrt.f64 (+.f64 (exp.f64 x) -1)) 0)
(expm1.f64 x)
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 x 0))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 0 x))
(pow.f64 x 2)
(+.f64 0 (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(*.f64 x x)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(pow.f64 x 2)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(pow.f64 x 2)
(*.f64 (pow.f64 1 (*.f64 2 (log.f64 x))) (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 2 (log.f64 x))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (*.f64 2 (log.f64 x))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 4 (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 (pow.f64 x 4) 1/3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x 2)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 x 2)
(/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 4) (-.f64 0 (*.f64 (pow.f64 x 2) 0))))
(/.f64 (pow.f64 x 6) (pow.f64 x 4))
(/.f64 (-.f64 (pow.f64 x 4) 0) (-.f64 (pow.f64 x 2) 0))
(pow.f64 x 2)
(sqrt.f64 (pow.f64 x 4))
(pow.f64 x 2)
(log.f64 (exp.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(pow.f64 x 2)
(cbrt.f64 (pow.f64 x 6))
(pow.f64 x 2)
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(pow.f64 x 2)
(exp.f64 (*.f64 (log.f64 (exp.f64 2)) (log.f64 x)))
(pow.f64 x 2)
(fma.f64 x x 0)
(pow.f64 x 2)
(fma.f64 1 (pow.f64 x 2) 0)
(pow.f64 x 2)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 0)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 x 0))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 0 x))
(pow.f64 x 2)
(+.f64 0 (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(*.f64 x x)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(pow.f64 x 2)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(pow.f64 x 2)
(*.f64 (pow.f64 1 (*.f64 2 (log.f64 x))) (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 2 (log.f64 x))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 x))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (*.f64 2 (log.f64 x))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 4 (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 (pow.f64 x 4) 1/3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x 2)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 x 2)
(/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 4) (-.f64 0 (*.f64 (pow.f64 x 2) 0))))
(/.f64 (pow.f64 x 6) (pow.f64 x 4))
(/.f64 (-.f64 (pow.f64 x 4) 0) (-.f64 (pow.f64 x 2) 0))
(pow.f64 x 2)
(sqrt.f64 (pow.f64 x 4))
(pow.f64 x 2)
(log.f64 (exp.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(pow.f64 x 2)
(cbrt.f64 (pow.f64 x 6))
(pow.f64 x 2)
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(pow.f64 x 2)
(exp.f64 (*.f64 (log.f64 (exp.f64 2)) (log.f64 x)))
(pow.f64 x 2)
(fma.f64 x x 0)
(pow.f64 x 2)
(fma.f64 1 (pow.f64 x 2) 0)
(pow.f64 x 2)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 0)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))

eval118.0ms (0.9%)

Compiler

Compiled 5316 to 4255 computations (20% saved)

prune46.0ms (0.4%)

Pruning

15 alts after pruning (5 fresh and 10 done)

PrunedKeptTotal
New2533256
Fresh022
Picked145
Done066
Total25415269
Accuracy
100.0%
Counts
269 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.7%
(pow.f64 (pow.f64 x 6) 1/3)
97.4%
(pow.f64 (/.f64 1 x) -2)
92.9%
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
53.3%
(-.f64 (*.f64 2 (exp.f64 (log.f64 (cosh.f64 x)))) 2)
53.3%
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
53.4%
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
98.3%
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
98.6%
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
98.8%
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
98.7%
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 2)))
97.8%
(*.f64 x x)
7.5%
(expm1.f64 x)
94.1%
(exp.f64 (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))))
53.3%
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
6.7%
x
Compiler

Compiled 353 to 271 computations (23.2% saved)

regimes13.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(-.f64 (*.f64 2 1) 2)
(expm1.f64 x)
(pow.f64 x 2)
(+.f64 (exp.f64 x) -1)
(pow.f64 (/.f64 1 x) -2)
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(pow.f64 (pow.f64 x 6) 1/3)
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(-.f64 (*.f64 2 (exp.f64 (log.f64 (cosh.f64 x)))) 2)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(exp.f64 (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) (+.f64 1 (+.f64 (exp.f64 (*.f64 2 x)) -4)))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 1/12))) 2)))
Outputs
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
Calls

2 calls:

10.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(-.f64 (*.f64 2 1) 2)
(expm1.f64 x)
(pow.f64 x 2)
(+.f64 (exp.f64 x) -1)
(pow.f64 (/.f64 1 x) -2)
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(pow.f64 (pow.f64 x 6) 1/3)
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(-.f64 (*.f64 2 (exp.f64 (log.f64 (cosh.f64 x)))) 2)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(exp.f64 (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x)))))
Outputs
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
Calls

2 calls:

9.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(-.f64 (*.f64 2 1) 2)
(expm1.f64 x)
(pow.f64 x 2)
(+.f64 (exp.f64 x) -1)
(pow.f64 (/.f64 1 x) -2)
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(pow.f64 (pow.f64 x 6) 1/3)
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(-.f64 (*.f64 2 (exp.f64 (log.f64 (cosh.f64 x)))) 2)
Outputs
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
Calls

2 calls:

8.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
x
(*.f64 x x)
(-.f64 (*.f64 2 1) 2)
(expm1.f64 x)
(pow.f64 x 2)
(+.f64 (exp.f64 x) -1)
(pow.f64 (/.f64 1 x) -2)
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(pow.f64 (pow.f64 x 6) 1/3)
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 x x)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Calls

2 calls:

13.0ms
x
4.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.7%2x
99.7%2(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
x
(*.f64 x x)
(-.f64 (*.f64 2 1) 2)
(expm1.f64 x)
(pow.f64 x 2)
(+.f64 (exp.f64 x) -1)
(pow.f64 (/.f64 1 x) -2)
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(pow.f64 (pow.f64 x 6) 1/3)
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
Outputs
(*.f64 x x)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
x
(*.f64 x x)
(-.f64 (*.f64 2 1) 2)
(expm1.f64 x)
(pow.f64 x 2)
(+.f64 (exp.f64 x) -1)
(pow.f64 (/.f64 1 x) -2)
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(pow.f64 (pow.f64 x 6) 1/3)
(pow.f64 (E.f64) (*.f64 2 (log.f64 x)))
Outputs
(*.f64 x x)
(-.f64 (*.f64 2 (cosh.f64 x)) 2)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(-.f64 (*.f64 2 1) 2)
(expm1.f64 x)
(pow.f64 x 2)
(+.f64 (exp.f64 x) -1)
(pow.f64 (/.f64 1 x) -2)
Outputs
(*.f64 x x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
97.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
6.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.861411190797526e-11
2.9370463563105353e-5
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
6.214035346460781e-6
0.005419445698413212
Results
13.0ms112×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 133 to 98 computations (26.3% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
6.214035346460781e-6
0.005419445698413212
Results
12.0ms112×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 117 to 90 computations (23.1% saved)

simplify39.0ms (0.3%)

Algorithm
egg-herbie
Rules
112×unsub-neg
64×+-commutative
56×cancel-sign-sub-inv
36×add0
32×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050356
192356
2124356
3131356
4135356
5168356
6211356
7218356
8229356
9255356
10267356
11272356
12281356
13287356
14292356
15294356
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 7737125245533627/154742504910672534362390528) (*.f64 x x) (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))
(if (<=.f64 x 3412647653636267/18446744073709551616) (*.f64 x x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))
(if (<=.f64 x 1890791267555229/9223372036854775808) (*.f64 x x) (-.f64 (*.f64 2 (cosh.f64 x)) 2))
(*.f64 x x)
x
Outputs
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 7737125245533627/154742504910672534362390528) (*.f64 x x) (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))
(if (<=.f64 x 3412647653636267/18446744073709551616) (*.f64 x x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2)))
(if (<=.f64 x 1890791267555229/9223372036854775808) (*.f64 x x) (-.f64 (*.f64 2 (cosh.f64 x)) 2))
(*.f64 x x)
x
Compiler

Compiled 106 to 75 computations (29.2% saved)

soundness1.1s (8.7%)

Rules
1888×prod-diff
1888×prod-diff
987×log1p-expm1-u
972×distribute-lft-neg-in
882×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017128
156128
2161124
3367124
4618124
51170124
63440124
75614124
01598
122268
2390268
033208
1497208
26669208
01598
122268
2390268
040334
1635326
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 338 to 195 computations (42.3% saved)

end0.0ms (0%)

preprocess89.0ms (0.7%)

Compiler

Compiled 516 to 326 computations (36.8% saved)

Profiling

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