VandenBroeck and Keller, Equation (20)

Time bar (total: 26.3s)

analyze338.0ms (1.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%25%12.5%4
0%0%56.2%0%0%25%18.7%5
6.3%3.1%46.9%0%0%28.1%21.9%6
6.5%3.1%45.3%0%0%28.1%23.4%7
6.6%3.1%44.5%0%0%28.1%24.2%8
8.3%3.9%43.3%0%0%28.5%24.2%9
8.7%4.1%43.1%0%0%28.5%24.2%10
9.1%4.3%42.9%0%0%28.6%24.2%11
9.1%4.3%42.8%0%0%28.6%24.3%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample9.0s (34.4%)

Results
0.0ms512valid
0.0ms512valid
1.0ms1024invalid
0.0ms256invalid
0.0ms256invalid
3.0ms512valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms2048valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms2048valid
0.0ms256valid
1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms512valid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
0.0ms256invalid
1.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms256invalid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
4.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
2.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms256invalid
1.0ms1024valid
0.0ms512invalid
2.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
3.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms2048valid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
0.0ms512invalid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms256invalid
4.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms256invalid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms256invalid
2.0ms2048valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms512valid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
0.0ms512invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms2048valid
1.0ms2048valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
2.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
1.0ms2048valid
1.0ms1024invalid
0.0ms512valid
0.0ms256invalid
1.0ms1024invalid
0.0ms256invalid
0.0ms512valid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
0.0ms256invalid
1.0ms2048valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
3.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
0.0ms512valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms2048valid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
2.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
0.0ms256invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
1.0ms2048valid
1.0ms1024invalid
4.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms256invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
2.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms2048valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
0.0ms256invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
0.0ms512invalid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
2.0ms512invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms512invalid
1.0ms2048valid
2.0ms2048valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms256invalid
1.0ms2048valid
1.0ms1024valid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms256invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
1.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
2.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms512valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
1.0ms512invalid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
0.0ms256invalid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
0.0ms512valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms256invalid
2.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
0.0ms512invalid
0.0ms512valid
0.0ms512invalid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
2.0ms2048valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
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1.0ms1024valid
1.0ms1024valid
1.0ms512valid
0.0ms256invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
Bogosity

preprocess1.9s (7.2%)

Algorithm
egg-herbie
Rules
1254×fma-define
778×times-frac
668×fma-neg
630×associate-/r*
580×log-prod
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2510-0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
30-0-(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
00-0-(PI.f64)
00-0-(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
00-0-(*.f64 (/.f64 (PI.f64) 4) f)
00-0-(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
00-0-f
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
00-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
00-0-(/.f64 (PI.f64) 4)
00-0-(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
00-0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
00-0-4
00-0-1
00-0-(/.f64 1 (/.f64 (PI.f64) 4))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033584
198484
2269484
3800484
42639484
57787484
Stop Event
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))))
Compiler

Compiled 434 to 320 computations (26.3% saved)

eval3.0ms (0%)

Compiler

Compiled 166 to 115 computations (30.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 38 to 30 computations (21.1% saved)

localize678.0ms (2.6%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (/.f64 (PI.f64) 4) f)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.4%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
9.4%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 198 to 145 computations (26.8% saved)

series105.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
47.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
42.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
5.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
2.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
2.0ms
f
@0
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))

rewrite162.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
250×associate-*r*
168×associate-*l*
138×add-exp-log
137×add-log-exp
137×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020112
1313112
25585112
Stop Event
unsound
Counts
4 → 64
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
(*.f64 (/.f64 (PI.f64) 4) f)
Outputs
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

simplify97.0ms (0.4%)

Algorithm
egg-herbie
Rules
1332×fma-define
1066×times-frac
994×fma-neg
628×distribute-lft-in
624×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01423777
14233549
216023244
378063244
Stop Event
node limit
Counts
112 → 61
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
Outputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 f (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
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-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval52.0ms (0.2%)

Compiler

Compiled 2852 to 2156 computations (24.4% saved)

prune28.0ms (0.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New541367
Fresh000
Picked011
Done000
Total541468
Accuracy
98.6%
Counts
68 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(neg.f64 (fma.f64 2 (*.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 1/192 (*.f64 2 (*.f64 (PI.f64) 2))) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))) 1/2) 0) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
97.5%
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
97.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 1/192 (*.f64 2 (*.f64 (PI.f64) 2))) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
97.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
97.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
98.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))))))
6.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
13.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3/2))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
97.6%
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
6.4%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
Compiler

Compiled 796 to 642 computations (19.3% saved)

localize3.4s (13.1%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 f (PI.f64))
99.5%
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
98.4%
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
9.4%
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
100.0%
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
100.0%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3/2)))
99.7%
(*.f64 (/.f64 (PI.f64) 4) f)
97.3%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3/2))
99.7%
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
99.7%
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
99.6%
(/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
99.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
100.0%
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
99.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
98.4%
(pow.f64 (PI.f64) 5)
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
97.5%
(pow.f64 (PI.f64) 7)
Compiler

Compiled 1067 to 762 computations (28.6% saved)

series164.0ms (0.6%)

Counts
18 → 99
Calls

42 calls:

TimeVariablePointExpression
45.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
24.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3/2))
22.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3/2))
16.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
11.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite181.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
434×log1p-expm1-u
434×expm1-log1p-u
432×add-exp-log
428×add-log-exp
427×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058656
11037546
Stop Event
node limit
Counts
18 → 338
Calls
Call 1
Inputs
(pow.f64 (PI.f64) 7)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3/2))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3/2)))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 f (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 7))) 1)
(*.f64 1 (pow.f64 (PI.f64) 7))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 14)) (cbrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 7)) (sqrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (pow.f64 (PI.f64) 7/2) (pow.f64 (PI.f64) 7/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 7) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 7) (pow.f64 (sqrt.f64 (PI.f64)) 7))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 7)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 7))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 7) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 7)))
(exp.f64 (log.f64 (pow.f64 (PI.f64) 7)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 7)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 2)
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (log.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 5)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2)
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f)))
(+.f64 0 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
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(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 0 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1)
(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (neg.f64 (/.f64 4 (PI.f64)))) (log.f64 (neg.f64 f)))
(*.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)
(neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))) 1)
(/.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) 2)
(log.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(*.f64 1 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) -2)) (/.f64 1 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 1 f) (/.f64 1 (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 1 (*.f64 (PI.f64) 1/2)) (/.f64 1 f))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1) (pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) -1)
(pow.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1) -1)
(log.f64 (exp.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(*.f64 1 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2) (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) 3) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)) (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) 2) (-.f64 (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (*.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)) (-.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
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(pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) (sqrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(log.f64 (exp.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(log1p.f64 (expm1.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(fma.f64 1 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 1 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) -1/4 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2) (cbrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
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(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(pow.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(log.f64 (pow.f64 (exp.f64 2) (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3))
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(exp.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
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(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 3)
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(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3))
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(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
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(fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
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(pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(pow.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -1)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3) (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))) 1)
(*.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) -1)
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))

simplify190.0ms (0.7%)

Algorithm
egg-herbie
Rules
690×fma-define
662×times-frac
642×sqr-pow
472×unswap-sqr
470×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095419851
1252516018
Stop Event
node limit
Counts
437 → 555
Calls
Call 1
Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
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(*.f64 4 (/.f64 (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (PI.f64)))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(*.f64 1 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) -2)) (/.f64 1 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 1 f) (/.f64 1 (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 1 (*.f64 (PI.f64) 1/2)) (/.f64 1 f))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1) (pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) -1)
(pow.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1) -1)
(log.f64 (exp.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(*.f64 1 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2) (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) 3) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)) (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) 2) (-.f64 (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (*.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)) (-.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))) (sqrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(log.f64 (exp.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(log1p.f64 (expm1.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(fma.f64 1 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 1 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)))
(fma.f64 -1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) -1/4 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2) (cbrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(fma.f64 (sqrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) -1/4) (*.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))
(+.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (log.f64 2/3))
(+.f64 0 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3)) 2)) (log.f64 (cbrt.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (log.f64 3/2))
(-.f64 0 (log.f64 (/.f64 3/2 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3)))) 1)
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) (log.f64 -3/2))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))) 2) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))) 2)
(neg.f64 (log.f64 (/.f64 3/2 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))))
(log1p.f64 (-.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3) 1))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))))) 1)
(/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3)) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3)))) 2)
(log.f64 (pow.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 2/3) (/.f64 4 (PI.f64))))
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(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))) (PI.f64))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(fma.f64 2 (*.f64 f (/.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (PI.f64))))
(fma.f64 2 (*.f64 f (*.f64 (*.f64 (PI.f64) 1/2) (/.f64 0 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(fma.f64 -1/2 (*.f64 (pow.f64 f 2) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (PI.f64))) (fma.f64 2 (*.f64 f (/.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (PI.f64)))))
(fma.f64 (*.f64 (pow.f64 f 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (/.f64 0 (PI.f64)))) -1/2 (fma.f64 2 (*.f64 f (*.f64 (*.f64 (PI.f64) 1/2) (/.f64 0 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (PI.f64))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(fma.f64 -1/2 (*.f64 (pow.f64 f 2) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (PI.f64))) (fma.f64 1/6 (*.f64 (pow.f64 f 3) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (PI.f64))) (fma.f64 2 (*.f64 f (/.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (PI.f64))))))
(fma.f64 (*.f64 (pow.f64 f 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (/.f64 0 (PI.f64)))) -1/2 (fma.f64 1/6 (*.f64 (pow.f64 f 3) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (/.f64 0 (PI.f64)))) (fma.f64 2 (*.f64 f (*.f64 (*.f64 (PI.f64) 1/2) (/.f64 0 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(*.f64 4 (/.f64 (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 0) (PI.f64)))
(+.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (PI.f64))) (*.f64 8 (/.f64 1 (*.f64 f (*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(fma.f64 4 (/.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (PI.f64)) (/.f64 8 (*.f64 f (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0))))))
(fma.f64 4 (/.f64 (log.f64 0) (PI.f64)) (/.f64 8 (*.f64 (*.f64 f 0) (*.f64 (PI.f64) 1/2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (PI.f64))) (*.f64 8 (/.f64 1 (*.f64 f (*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (PI.f64)) (/.f64 8 (*.f64 f (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)))))) (/.f64 8 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))))
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(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
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(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 (*.f64 f (PI.f64)) 1/2)
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(*.f64 (*.f64 f (PI.f64)) 1/2)
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(expm1.f64 (log1p.f64 (*.f64 (*.f64 f (PI.f64)) 1/2)))
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(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (neg.f64 (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) -1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (neg.f64 (PI.f64)))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (/.f64 1 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (neg.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (neg.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 3))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (neg.f64 (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (neg.f64 (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(+.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) -1)
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (neg.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (neg.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 1))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (neg.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 f (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(*.f64 f (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(*.f64 f (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(*.f64 f (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(*.f64 f (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(*.f64 f (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(*.f64 f (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(*.f64 f (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(*.f64 f (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(*.f64 f (PI.f64))

eval742.0ms (2.8%)

Compiler

Compiled 24547 to 18405 computations (25% saved)

prune144.0ms (0.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New64318661
Fresh718
Picked505
Done101
Total65619675
Accuracy
100.0%
Counts
675 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2))
13.5%
(neg.f64 (/.f64 (*.f64 4 (log.f64 4/3)) (PI.f64)))
97.6%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
96.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
97.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
36.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (expm1.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) f)))))))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
97.6%
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
99.4%
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) -1)))
99.5%
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
97.5%
(neg.f64 (*.f64 4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
80.6%
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) -1)))
80.6%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
95.5%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
96.2%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
97.1%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
Compiler

Compiled 686 to 578 computations (15.7% saved)

localize3.8s (14.4%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.5%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
99.2%
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2)
98.9%
(PI.f64)
99.5%
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
99.4%
(/.f64 (log.f64 f) (PI.f64))
98.9%
(PI.f64)
96.9%
(log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
98.9%
(PI.f64)
91.5%
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
83.0%
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
98.9%
(PI.f64)
98.5%
(log.f64 4/3)
100.0%
(tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
99.7%
(*.f64 (PI.f64) (*.f64 f 1/4))
99.5%
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
98.9%
(PI.f64)
Compiler

Compiled 685 to 478 computations (30.2% saved)

series264.0ms (1%)

Counts
18 → 125
Calls

33 calls:

TimeVariablePointExpression
82.0ms
f
@0
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
30.0ms
f
@-inf
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
29.0ms
f
@inf
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
25.0ms
f
@-inf
(/.f64 (log.f64 f) (PI.f64))
23.0ms
f
@inf
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))

rewrite143.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
382×log1p-expm1-u
382×expm1-log1p-u
378×add-exp-log
374×add-log-exp
372×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049420
1860373
Stop Event
node limit
Counts
18 → 330
Calls
Call 1
Inputs
(PI.f64)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/4))
(tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(log.f64 4/3)
(PI.f64)
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
(PI.f64)
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(PI.f64)
(/.f64 (log.f64 f) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
(PI.f64)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))) 1)
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) -1)
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 1/2) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 f 1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 f 1/4) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 1)
(*.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 2) (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(*.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 (*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 f 1/4)))) (+.f64 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4))) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) (*.f64 f 1/4)))) (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) (*.f64 f 1/4)))))
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(pow.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) 2)
(log.f64 (exp.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) 1))
(fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(fma.f64 1 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(fma.f64 1 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) 2) (cbrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) 2) (cbrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) (sqrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (sqrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (sqrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(+.f64 0 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) 2))) (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) 2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(*.f64 1 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3/2) (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3/2)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 1))
(+.f64 0 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) 2))) (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) 2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))) 1)
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3) 1/3)
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3/2) (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3/2)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(pow.f64 (/.f64 (*.f64 (PI.f64) f) 4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1))

simplify213.0ms (0.8%)

Algorithm
egg-herbie
Rules
1146×fma-neg
964×associate-*r*
922×associate-*l*
788×times-frac
604×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061615041
1158312372
2788712354
Stop Event
node limit
Counts
455 → 318
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -48 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64)))))) (PI.f64))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
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(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64)))) 1)
(*.f64 (log.f64 f) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))))
(pow.f64 (/.f64 (log.f64 f) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)
(log.f64 (pow.f64 f (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))) 1)
(*.f64 1 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) 2) (cbrt.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) (sqrt.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (pow.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) 2)) (-.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 3) (pow.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) 3)) (+.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) 2) (*.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))))
(pow.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) 2)
(log.f64 (exp.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (/.f64 0 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) 1))
(fma.f64 (/.f64 (log.f64 f) (PI.f64)) -1 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(fma.f64 1 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(fma.f64 1 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) 2) (cbrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) 2) (cbrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) (sqrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (sqrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (sqrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(+.f64 0 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) 2))) (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) 2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))) 1)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(*.f64 1 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3/2) (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3/2)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 1))
(+.f64 0 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) 2))) (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) 2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))) 1)
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3) 1/3)
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3/2) (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3/2)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(pow.f64 (/.f64 (*.f64 (PI.f64) f) 4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1))
Outputs
(*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(neg.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))
(fma.f64 -2 (*.f64 f (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2))) (neg.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))
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(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
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(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
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(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
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(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) 2))) (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) 2))))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))) 1)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 1)
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2)
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3)
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(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))
(fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3) 1/3)
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
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(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
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(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
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(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3/2) (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3/2)))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
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(/.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(/.f64 4 (*.f64 f (PI.f64)))
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(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
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(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(/.f64 4 (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1))
(/.f64 4 (*.f64 f (PI.f64)))

eval448.0ms (1.7%)

Compiler

Compiled 24688 to 17962 computations (27.2% saved)

prune149.0ms (0.6%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New6398647
Fresh21214
Picked235
Done000
Total64323666
Accuracy
100.0%
Counts
666 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2))
13.5%
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 1/3)) (PI.f64)))
97.6%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
97.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
96.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
97.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
36.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (expm1.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) f)))))))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
97.6%
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
99.5%
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
96.9%
(neg.f64 (*.f64 4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (cbrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
97.5%
(neg.f64 (*.f64 4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
4.2%
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
96.4%
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
80.5%
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
80.6%
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) -1)))
80.1%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))))))
80.6%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
95.5%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
96.2%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
97.1%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
Compiler

Compiled 771 to 651 computations (15.6% saved)

localize633.0ms (2.4%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.5%
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
98.9%
(PI.f64)
91.5%
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))
82.5%
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.5%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
98.9%
(PI.f64)
98.2%
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
99.7%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.5%
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64)))
98.9%
(PI.f64)
96.9%
(log.f64 (/.f64 4 (PI.f64)))
98.9%
(PI.f64)
99.7%
(*.f64 (PI.f64) f)
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.5%
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
98.9%
(PI.f64)
Compiler

Compiled 251 to 152 computations (39.4% saved)

series100.0ms (0.4%)

Counts
10 → 104
Calls

27 calls:

TimeVariablePointExpression
23.0ms
f
@inf
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
23.0ms
f
@0
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
23.0ms
f
@-inf
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
8.0ms
f
@0
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64)))
4.0ms
f
@0
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))

rewrite240.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1064×log1p-expm1-u
954×prod-diff
279×expm1-log1p-u
276×associate-*r*
178×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029295
1449295
25059295
Stop Event
node limit
Counts
10 → 538
Calls
Call 1
Inputs
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(*.f64 (PI.f64) f)
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))))
Outputs
(+.f64 0 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
(+.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f))))
(+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))) (*.f64 (neg.f64 (log.f64 f)) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1)
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))) 3)
(*.f64 1 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))) 2) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))) 3))
(*.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 2) (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 4 (PI.f64))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))) 3))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1/2) (/.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1/2))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 1 (*.f64 (PI.f64) -1/4)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/4))
(*.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 4)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1/4))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1/4) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 4 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))))
(*.f64 (*.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))) (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))))
(pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1/2) 2)
(pow.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))) 2)) (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))) (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 (PI.f64) 1/4)))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))

simplify370.0ms (1.4%)

Algorithm
egg-herbie
Rules
1618×fma-neg
1342×log-prod
890×associate-*l*
808×associate-*r*
650×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066931200
1169228592
2690628572
Stop Event
node limit
Counts
642 → 376
Calls
Call 1
Inputs
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(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4)
(/.f64 -1 (neg.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 4) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 1) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) -4) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 4) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 1) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) -4) (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (PI.f64))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (PI.f64) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (*.f64 (neg.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))))
(/.f64 (*.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (*.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) -1/4)
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (*.f64 (sqrt.f64 (PI.f64)) 1/2))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 4 (PI.f64))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 4 (PI.f64))) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1/2) 2)
(pow.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))) 2)) (cbrt.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))) (sqrt.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 (PI.f64) 1/4)))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
Outputs
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 f (PI.f64))
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(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/64))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 0))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))

eval434.0ms (1.6%)

Compiler

Compiled 20319 to 14007 computations (31.1% saved)

prune148.0ms (0.6%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1204101214
Fresh13215
Picked325
Done123
Total1221161237
Accuracy
100.0%
Counts
1237 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2))
13.5%
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 1/3)) (PI.f64)))
97.0%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/4)))
97.6%
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 (PI.f64) -1/4)))
96.7%
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
96.7%
(neg.f64 (/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
97.5%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
97.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
97.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
97.6%
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
97.4%
(neg.f64 (*.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 4 (PI.f64))))
99.5%
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
4.2%
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
96.6%
(neg.f64 (*.f64 3 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (/.f64 4 (PI.f64)) 1/3)))))
97.3%
(neg.f64 (*.f64 3 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4/3 (PI.f64))))))
80.6%
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
Compiler

Compiled 1214 to 931 computations (23.3% saved)

regimes74.0ms (0.3%)

Counts
50 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 4/3)) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 1/3)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) -1)))
(neg.f64 (*.f64 3 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4/3 (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 4 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64)))
(neg.f64 (*.f64 3 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 (/.f64 4 (PI.f64)) 1/3)))))
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (*.f64 4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
(neg.f64 (*.f64 4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/4)))
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2))
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) -1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3/2))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 1/192 (*.f64 2 (*.f64 (PI.f64) 2))) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (expm1.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) f)))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))))))
(neg.f64 (*.f64 4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (cbrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(neg.f64 (fma.f64 2 (*.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 1/192 (*.f64 2 (*.f64 (PI.f64) 2))) -2 (*.f64 1/16 (*.f64 (PI.f64) 2))) 1/2) 0) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
Calls

6 calls:

24.0ms
f
23.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
7.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
6.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
Results
AccuracySegmentsBranch
99.5%1f
99.5%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
99.5%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
99.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
99.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
99.5%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes12.0ms (0%)

Counts
20 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 4/3)) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 1/3)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64))))
(neg.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) -1)))
(neg.f64 (*.f64 3 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4/3 (PI.f64))))))
Outputs
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
Calls

1 calls:

11.0ms
f
Results
AccuracySegmentsBranch
97.6%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 4/3)) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 1/3)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 (PI.f64) -1/4)))
Outputs
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 (PI.f64) -1/4)))
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
97.6%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 4/3)) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 1/3)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
97.5%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 4/3)) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log1p.f64 1/3)) (PI.f64)))
Outputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 4/3)) (PI.f64)))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
13.5%1f
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
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
Outputs
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
4.2%1f
Compiler

Compiled 2 to 1 computations (50% saved)

simplify27.0ms (0.1%)

Algorithm
egg-herbie
Rules
272×distribute-lft-neg-in
178×neg-mul-1
136×distribute-rgt-neg-in
116×neg-sub0
94×distribute-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042219
193211
2169211
3240211
4309207
5373207
6514207
7707207
8785207
9812207
10821207
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 4/3)) (PI.f64)))
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) (neg.f64 1/4)))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 (PI.f64) -1/4)))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (neg.f64 (*.f64 (PI.f64) -1/4)))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (*.f64 (PI.f64) (neg.f64 -1/4)))
(/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (*.f64 (PI.f64) -1/4))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (neg.f64 (PI.f64))))
(*.f64 (/.f64 4 (neg.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 4/3)) (PI.f64)))
(/.f64 (*.f64 4 (log.f64 4/3)) (neg.f64 (PI.f64)))
(neg.f64 (*.f64 4 (*.f64 f (*.f64 (PI.f64) 0))))
(*.f64 (neg.f64 4) (*.f64 f (*.f64 (PI.f64) 0)))
(*.f64 (*.f64 f (*.f64 (PI.f64) 0)) (neg.f64 4))
(*.f64 4 (*.f64 f (*.f64 (PI.f64) 0)))
Compiler

Compiled 64 to 55 computations (14.1% saved)

soundness1.9s (7.3%)

Rules
1618×fma-neg
1342×log-prod
1332×fma-define
1332×fma-define
1146×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058656
11037546
095419851
1252516018
061615041
1158312372
2788712354
020112
1313112
25585112
095419851
1252516018
01423777
14233549
216023244
378063244
058656
11037546
066931200
1169228592
2690628572
01423777
14233549
216023244
378063244
029295
1449295
25059295
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
unsound
node limit
node limit
node limit
Compiler

Compiled 900 to 680 computations (24.4% saved)

end0.0ms (0%)

preprocess68.0ms (0.3%)

Compiler

Compiled 194 to 146 computations (24.7% saved)

Profiling

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