VandenBroeck and Keller, Equation (20)

Time bar (total: 23.4s)

analyze332.0ms (1.4%)

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)

sample10.0s (42.9%)

Results
0.0ms256valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
3.0ms2048valid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
4.0ms1024invalid
0.0ms256valid
0.0ms512valid
1.0ms2048valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
3.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
0.0ms256invalid
0.0ms512invalid
0.0ms256invalid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
4.0ms512invalid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
6.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms2048valid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
3.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
4.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
4.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256invalid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256invalid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms256invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
0.0ms256invalid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
10.0ms2048valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms256invalid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
1.0ms2048valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
2.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
1.0ms2048valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
2.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
3.0ms256valid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
0.0ms256invalid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
2.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
0.0ms256invalid
0.0ms512invalid
1.0ms1024valid
1.0ms2048valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512invalid
1.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
4.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms256invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256invalid
0.0ms256valid
0.0ms512invalid
4.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024invalid
0.0ms512valid
1.0ms2048valid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
1.0ms2048valid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
2.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms256invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
0.0ms256valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
2.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
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0.0ms256invalid
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0.0ms256invalid
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0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
6.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512invalid
0.0ms256valid
1.0ms1024invalid
0.0ms256invalid
2.0ms2048valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256invalid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
4.0ms1024invalid
0.0ms512valid
0.0ms256valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
4.0ms512valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
2.0ms2048valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
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1.0ms1024invalid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms256invalid
2.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
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1.0ms1024valid
0.0ms256invalid
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0.0ms256invalid
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0.0ms256invalid
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0.0ms512invalid
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0.0ms256invalid
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1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
4.0ms512invalid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
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1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
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1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
3.0ms2048valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
0.0ms256invalid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms2048valid
0.0ms256valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms256invalid
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0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
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1.0ms1024invalid
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1.0ms1024valid
1.0ms1024invalid
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1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
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1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
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1.0ms2048valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
1.0ms2048valid
0.0ms512valid
0.0ms256invalid
0.0ms512valid
1.0ms1024invalid
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1.0ms1024valid
0.0ms512valid
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1.0ms1024invalid
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0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
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1.0ms1024invalid
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1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
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1.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms2048valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
0.0ms256invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
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0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
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1.0ms1024valid
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1.0ms1024invalid
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1.0ms1024invalid
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1.0ms1024valid
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1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
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1.0ms1024invalid
1.0ms1024invalid
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1.0ms1024invalid
0.0ms256valid
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1.0ms1024invalid
1.0ms1024valid
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0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
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1.0ms1024invalid
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0.0ms256valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
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1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms2048valid
0.0ms512valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
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0.0ms256valid
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0.0ms256valid
0.0ms256invalid
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1.0ms1024valid
0.0ms256invalid
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0.0ms512invalid
1.0ms1024invalid
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0.0ms256valid
0.0ms256valid
2.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
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1.0ms2048valid
0.0ms512invalid
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0.0ms256valid
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1.0ms1024invalid
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1.0ms1024invalid
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1.0ms1024invalid
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1.0ms1024valid
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1.0ms1024valid
0.0ms512invalid
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0.0ms256valid
0.0ms256valid
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1.0ms1024invalid
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1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
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0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms256invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
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0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
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0.0ms512valid
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1.0ms1024invalid
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0.0ms512valid
0.0ms512invalid
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1.0ms1024valid
0.0ms256valid
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0.0ms512valid
1.0ms1024valid
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1.0ms1024valid
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0.0ms512valid
1.0ms1024invalid
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1.0ms1024valid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024valid
2.0ms2048valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
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0.0ms256valid
1.0ms1024valid
0.0ms256invalid
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1.0ms1024valid
2.0ms2048valid
1.0ms1024invalid
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8.0ms1024valid
0.0ms256valid
1.0ms1024invalid
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1.0ms1024invalid
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1.0ms1024valid
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0.0ms512invalid
1.0ms1024invalid
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0.0ms512valid
2.0ms2048valid
1.0ms1024invalid
1.0ms1024valid
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1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
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0.0ms512valid
1.0ms1024valid
0.0ms512invalid
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1.0ms1024valid
0.0ms256valid
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1.0ms1024invalid
0.0ms256invalid
1.0ms1024valid
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1.0ms1024invalid
1.0ms1024invalid
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0.0ms512valid
0.0ms512invalid
1.0ms2048valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
0.0ms256invalid
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1.0ms1024invalid
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0.0ms256invalid
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0.0ms256invalid
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1.0ms1024invalid
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0.0ms256valid
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1.0ms1024valid
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1.0ms1024invalid
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1.0ms1024valid
2.0ms1024invalid
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1.0ms1024invalid
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1.0ms1024invalid
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1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
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1.0ms1024valid
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1.0ms1024valid
1.0ms1024invalid
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0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
0.0ms256invalid
1.0ms1024valid
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0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
0.0ms256invalid
0.0ms256valid
1.0ms1024invalid
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0.0ms256valid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms1024valid
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0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
2.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
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1.0ms1024invalid
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1.0ms1024valid
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1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
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0.0ms256valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
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1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
Bogosity

preprocess1.4s (5.8%)

Algorithm
egg-herbie
Rules
1554×fma-def
850×associate-/l*
696×associate-*r/
536×cancel-sign-sub-inv
520×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2480-0-(-.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)))))
30-0-(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))))))
10-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
10-0-(exp.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-(/.f64 (PI.f64) 4)
00-0-4
00-0-1
00-0-(/.f64 1 (/.f64 (PI.f64) 4))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033584
198528
2262484
3772484
42705484
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)) (neg.f64 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)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.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 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4))))) (/.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)) (neg.f64 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)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.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 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4))))) (/.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)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.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) -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 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) 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)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.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) -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 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)))))
Compiler

Compiled 434 to 320 computations (26.3% saved)

eval3.0ms (0%)

Compiler

Compiled 169 to 118 computations (30.2% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(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)

localize614.0ms (2.6%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.5%
(*.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)))))))
98.9%
(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)))))
9.7%
(-.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)

series88.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
40.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
34.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
3.0ms
f
@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))))))
3.0ms
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)))))

rewrite151.0ms (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
25540112
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)))))
(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 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)))))))
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

simplify77.0ms (0.3%)

Algorithm
egg-herbie
Rules
1738×fma-def
1344×times-frac
820×distribute-lft-in
814×distribute-rgt-in
798×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01545001
14674621
218704270
Stop Event
node limit
Counts
112 → 75
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)))))
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(*.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)))
-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 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.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)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
(+.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 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
(+.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 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) (fma.f64 f (+.f64 (/.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
(+.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 0)
(fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))
(+.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 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) (fma.f64 f (+.f64 (/.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
(+.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 0)
(fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))
(/.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -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)))))))
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(*.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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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

eval65.0ms (0.3%)

Compiler

Compiled 3634 to 2755 computations (24.2% saved)

prune24.0ms (0.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New641175
Fresh000
Picked101
Done000
Total651176
Accuracy
97.6%
Counts
76 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
5.5%
(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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))))
96.6%
(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))))))
1.6%
(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)))) 16))))
1.7%
(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)))) 4))))
96.4%
(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)))))))))))
96.5%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
5.4%
(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 590 to 476 computations (19.3% saved)

localize687.0ms (2.9%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.9%
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
99.9%
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
99.7%
(*.f64 (/.f64 (PI.f64) 4) f)
98.9%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
99.7%
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
96.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
99.7%
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
99.5%
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
96.9%
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
99.5%
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
98.4%
(fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
98.4%
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
Compiler

Compiled 530 to 395 computations (25.5% saved)

series193.0ms (0.8%)

Counts
16 → 120
Calls

30 calls:

TimeVariablePointExpression
63.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
38.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
18.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
18.0ms
f
@0
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
17.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))

rewrite178.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
314×times-frac
302×log1p-expm1-u
302×expm1-log1p-u
300×add-exp-log
295×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045398
1707390
Stop Event
node limit
Counts
16 → 426
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))
(*.f64 (/.f64 (PI.f64) 4) f)
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/48))) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48)) (neg.f64 (pow.f64 (PI.f64) 2)))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/48)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/48)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/48))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/48))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/48)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) -2))
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (/.f64 1 (neg.f64 (pow.f64 (PI.f64) 2))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 3) (PI.f64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (PI.f64) 1) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 4))) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3/2) 1) (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (cbrt.f64 (pow.f64 (PI.f64) 4))) (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (/.f64 1 (PI.f64)) -1)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
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(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (pow.f64 (log.f64 f) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (cbrt.f64 (pow.f64 (log.f64 f) 2)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (pow.f64 (log.f64 f) 2)))))
(*.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (pow.f64 (log.f64 f) 2))) (neg.f64 (log.f64 (*.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (neg.f64 (log.f64 f)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2) (-.f64 (*.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f))) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))))))
(pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 2))
(log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 1))
(log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))
(fma.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 1/16))
(+.f64 0 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) 256))) (log.f64 (cbrt.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/4)) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/4)))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 16))
(-.f64 0 (log.f64 (/.f64 16 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))) 1)
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (log.f64 -16))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 2) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 3) (pow.f64 (log.f64 16) 3)) (+.f64 (*.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (+.f64 (*.f64 (log.f64 16) (log.f64 16)) (*.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 16)))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 2)
(neg.f64 (log.f64 (/.f64 16 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 1))
(log1p.f64 (-.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16) 1))
(+.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(-.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1)
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 (neg.f64 (*.f64 (PI.f64) f)) -4)
(/.f64 (-.f64 0 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3)) (+.f64 0 (+.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 2) (*.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)
(neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) 1)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(/.f64 -1 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) -1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 1))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (exp.f64 1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (PI.f64) 1/4))) f)
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 2))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) 1)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(/.f64 -1 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) -1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 1))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (exp.f64 1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (PI.f64) 1/4))) f)
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 2))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))

simplify383.0ms (1.6%)

Algorithm
egg-herbie
Rules
1184×associate-/r*
766×associate-/l*
518×fma-def
512×sqr-pow
424×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089319477
1225417020
Stop Event
node limit
Counts
546 → 509
Calls
Call 1
Inputs
(*.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))) (*.f64 -1 (log.f64 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))) (*.f64 -1 (log.f64 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 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (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 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 -4 (PI.f64))) (log.f64 (/.f64 -1 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 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 1))
(log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) 1))
(fma.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 1/16))
(+.f64 0 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 2) 256))) (log.f64 (cbrt.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/4)) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 1/4)))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 16))
(-.f64 0 (log.f64 (/.f64 16 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))) 1)
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (log.f64 -16))
(*.f64 1 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 2) (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) 3) (pow.f64 (log.f64 16) 3)) (+.f64 (*.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (+.f64 (*.f64 (log.f64 16) (log.f64 16)) (*.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 16)))))
(pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 2)
(neg.f64 (log.f64 (/.f64 16 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))) 1))
(log1p.f64 (-.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16) 1))
(+.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(-.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1)
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 (neg.f64 (*.f64 (PI.f64) f)) -4)
(/.f64 (-.f64 0 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3)) (+.f64 0 (+.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 2) (*.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)
(neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) 1)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(/.f64 -1 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) -1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 1))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (exp.f64 1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (PI.f64) 1/4))) f)
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 2))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) 1)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(/.f64 -1 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) -1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 1))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (exp.f64 1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (neg.f64 (*.f64 (PI.f64) 1/4))) f)
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 2))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) 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 -4 (PI.f64))) (log.f64 (/.f64 -1 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 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
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(expm1.f64 (log1p.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/16)))
(exp.f64 (log.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16))))
(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/16)))
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(log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/16)))
(log1p.f64 (-.f64 (*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 1/16) 1))
(log1p.f64 (fma.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 1/16 -1))
(log1p.f64 (fma.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 1/16) -1))
(+.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
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(-.f64 0 (*.f64 (*.f64 (PI.f64) 1/4) f))
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(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3) 1/3)
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(neg.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))
(*.f64 (*.f64 (PI.f64) -1/4) f)
(*.f64 f (*.f64 (PI.f64) -1/4))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 2))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/4 f)) 2))
(fabs.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))
(*.f64 (PI.f64) (*.f64 1/4 f))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/4) f) 3))
(*.f64 (PI.f64) (*.f64 1/4 f))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
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(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(*.f64 (PI.f64) (*.f64 1/4 f))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (PI.f64) (*.f64 1/4 f))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (PI.f64) (*.f64 1/4 f))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 1))
(*.f64 (PI.f64) (*.f64 1/4 f))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (PI.f64) (*.f64 1/4 f))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) 1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
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(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(/.f64 -1 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) -1)
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 1))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 3)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3) 1/3)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (exp.f64 1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(pow.f64 (E.f64) (*.f64 (PI.f64) (*.f64 1/4 f)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 2)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(pow.f64 (exp.f64 (neg.f64 (*.f64 (PI.f64) 1/4))) f)
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 2))
(fabs.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) 1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(/.f64 -1 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) -1)
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (*.f64 f 1))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 3)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3) 1/3)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (exp.f64 1) (*.f64 (*.f64 (PI.f64) 1/4) f))
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(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (sqrt.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 (PI.f64) 1/4) f))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(pow.f64 (exp.f64 (neg.f64 (*.f64 (PI.f64) 1/4))) f)
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 2))
(fabs.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 3))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))

eval535.0ms (2.3%)

Compiler

Compiled 16060 to 12539 computations (21.9% saved)

prune208.0ms (0.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New61521636
Fresh336
Picked505
Done000
Total62324647
Accuracy
97.8%
Counts
647 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))) 2))
96.1%
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (PI.f64) (*.f64 1/4 (log.f64 (*.f64 f (/.f64 4 (PI.f64))))))))
96.5%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
96.5%
(neg.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
96.4%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
96.3%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
95.1%
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))) 1))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 3)))
96.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 (*.f64 1/16 (PI.f64)) 2)))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
5.5%
(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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
96.0%
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 2) (PI.f64))))
96.5%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
5.4%
(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))))
96.6%
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
95.2%
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (PI.f64))))
96.4%
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
96.4%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))))
95.2%
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))))))
95.3%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
Compiler

Compiled 914 to 766 computations (16.2% saved)

localize1.4s (6%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.5%
(/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))
99.4%
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
98.2%
(exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
97.7%
(PI.f64)
99.4%
(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
98.5%
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16)))
98.5%
(*.f64 (PI.f64) -1/24)
97.7%
(PI.f64)
99.7%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
97.7%
(PI.f64)
96.9%
(log.f64 (/.f64 4 (PI.f64)))
97.7%
(PI.f64)
98.5%
(fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 (*.f64 1/16 (PI.f64)) 2))
98.5%
(*.f64 (PI.f64) 1/48)
98.5%
(log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 (*.f64 1/16 (PI.f64)) 2))))
97.7%
(PI.f64)
Compiler

Compiled 507 to 387 computations (23.7% saved)

series122.0ms (0.5%)

Counts
17 → 68
Calls

18 calls:

TimeVariablePointExpression
83.0ms
f
@0
(exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
19.0ms
f
@inf
(exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
17.0ms
f
@-inf
(exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
0.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
0.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))

rewrite198.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
454×associate-*r*
312×associate-*l*
310×frac-times
245×log1p-expm1-u
245×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045331
1685275
Stop Event
node limit
Counts
17 → 561
Calls
Call 1
Inputs
(PI.f64)
(log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 (*.f64 1/16 (PI.f64)) 2))))
(*.f64 (PI.f64) 1/48)
(fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 (*.f64 1/16 (PI.f64)) 2))
(PI.f64)
(log.f64 (/.f64 4 (PI.f64)))
(PI.f64)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(PI.f64)
(*.f64 (PI.f64) -1/24)
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16)))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
(PI.f64)
(exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.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)
(sqrt.f64 (pow.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)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))
(+.f64 0 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) 2))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 2) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))))
(*.f64 1 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))
(*.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 1)
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 2)) (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) (sqrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/13824)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (pow.f64 (*.f64 (PI.f64) 1/8) 2)) (/.f64 1 (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/13824))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (pow.f64 (*.f64 (PI.f64) 1/8) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/13824)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/13824)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (PI.f64) (*.f64 -1/24 (*.f64 (PI.f64) 1/8))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (pow.f64 (*.f64 (PI.f64) 1/8) 2)) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/13824))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (pow.f64 (*.f64 (PI.f64) 1/8) 2))) (neg.f64 (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/576)) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))
(pow.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 2))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 (PI.f64) 1/8))
(fma.f64 1/16 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24))
(fma.f64 2 (*.f64 (PI.f64) 1/16) (*.f64 (PI.f64) -1/24))
(fma.f64 1 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))
(fma.f64 1 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))
(fma.f64 -1/24 (PI.f64) (*.f64 (PI.f64) 1/8))
(fma.f64 (*.f64 (PI.f64) 1/16) 2 (*.f64 (PI.f64) -1/24))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/24))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/24))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (*.f64 (PI.f64) 2) 1/16 (*.f64 (PI.f64) -1/24))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/48))) 1)
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/48)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/48)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2304))
(log.f64 (pow.f64 (exp.f64 1/48) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/48))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/48)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))
(+.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))
(+.f64 0 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) 2))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 2) (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))))
(*.f64 1 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)))
(*.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 1)
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8)) 2)) (cbrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))) (sqrt.f64 (fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))))
(*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/13824)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (*.f64 (*.f64 (PI.f64) 1/8) (-.f64 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576) (pow.f64 (*.f64 (PI.f64) 1/8) 2)) (/.f64 1 (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 (PI.f64) 1/8))))
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simplify214.0ms (0.9%)

Algorithm
egg-herbie
Rules
1440×times-frac
1102×associate-*l*
1068×associate-*r*
526×fma-def
338×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079020397
1194518958
Stop Event
node limit
Counts
629 → 477
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (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 (cbrt.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) 2) (cbrt.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(*.f64 (sqrt.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) (sqrt.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)) (-.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(pow.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))) (cbrt.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (sqrt.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(sqrt.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(log.f64 (exp.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))))
(cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(log1p.f64 (expm1.f64 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
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(*.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))
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(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 1 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 1 (*.f64 f 1/2)))
(*.f64 (/.f64 2 (PI.f64)) (*.f64 2 (/.f64 1 f)))
(*.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (neg.f64 (/.f64 4 (PI.f64))) (/.f64 1 (neg.f64 f)))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
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(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
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(*.f64 (/.f64 2 f) (/.f64 2 (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))
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(*.f64 (/.f64 2 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (PI.f64)) 1) (/.f64 2 f))
(*.f64 (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 (pow.f64 f 2))) (/.f64 2 (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 f)) (/.f64 2 (sqrt.f64 f)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (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 (+.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 4 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 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 4 (*.f64 f (PI.f64)))) 1/4))
(*.f64 (/.f64 1 (PI.f64)) (*.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 4)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1/4))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1/4))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) 1/4) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (*.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))) -4)
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4)) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
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(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/16))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)) (*.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 4 (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 4 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 4) (/.f64 1 (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1) (/.f64 4 (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))) -4)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 3)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) 1/3)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4)) -1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (PI.f64) -1/4)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.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 f (PI.f64))))) 3))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 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 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 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) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 1))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) -1))

eval533.0ms (2.3%)

Compiler

Compiled 20546 to 15497 computations (24.6% saved)

prune236.0ms (1%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New78716803
Fresh10919
Picked415
Done000
Total80126827
Accuracy
97.8%
Counts
827 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(neg.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
96.5%
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4)))
96.5%
(neg.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
96.4%
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4))))
95.0%
(neg.f64 (-.f64 (pow.f64 (E.f64) (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1))
96.4%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
96.3%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
95.1%
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 4))) 1))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 1/8)))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (log.f64 (pow.f64 (exp.f64 -1/24) (PI.f64))) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
5.5%
(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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
96.5%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
5.4%
(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))))
96.6%
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
96.4%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))))
78.7%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
95.3%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
95.9%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
Compiler

Compiled 972 to 808 computations (16.9% saved)

localize741.0ms (3.2%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.5%
(/.f64 4 (*.f64 f (PI.f64)))
99.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))
99.3%
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
97.4%
(PI.f64)
98.5%
(pow.f64 (PI.f64) 3)
98.5%
(cbrt.f64 (pow.f64 (PI.f64) 3))
97.4%
(PI.f64)
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)) (PI.f64))
97.4%
(PI.f64)
97.0%
(log.f64 (/.f64 4 (PI.f64)))
99.7%
(*.f64 (PI.f64) (*.f64 1/4 f))
99.5%
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4))
97.4%
(PI.f64)
98.5%
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16)))
98.5%
(*.f64 (PI.f64) -1/24)
98.5%
(cbrt.f64 (/.f64 2 (PI.f64)))
97.4%
(PI.f64)
Compiler

Compiled 418 to 308 computations (26.3% saved)

series44.0ms (0.2%)

Counts
9 → 56
Calls

18 calls:

TimeVariablePointExpression
17.0ms
f
@0
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4))
17.0ms
f
@-inf
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4))
7.0ms
f
@inf
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4))
1.0ms
f
@0
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
1.0ms
f
@inf
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)

rewrite114.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
498×associate-*r*
328×associate-*l*
254×log1p-expm1-u
254×expm1-log1p-u
251×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041201
1642195
Stop Event
node limit
Counts
9 → 355
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 2 (PI.f64)))
(+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4))
(*.f64 (PI.f64) (*.f64 1/4 f))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))
(/.f64 4 (*.f64 f (PI.f64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 2 (PI.f64))))) 1)
(*.f64 1 (cbrt.f64 (/.f64 2 (PI.f64))))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (PI.f64)) 1/3))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 2 (PI.f64)))))
(*.f64 (pow.f64 (/.f64 2 (PI.f64)) 1/6) (pow.f64 (/.f64 2 (PI.f64)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 2 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 2 (PI.f64)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (/.f64 2 (PI.f64))) 1/3))
(/.f64 1 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(/.f64 1 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 2)))
(/.f64 (cbrt.f64 2) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 -2) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (cbrt.f64 2)) (neg.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 2 (PI.f64)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (PI.f64)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 2 (PI.f64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) 1))
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(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))))) 2)
(pow.f64 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 f (/.f64 4 (PI.f64))))) -1)
(neg.f64 (log.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64)))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64)))) 2))
(log.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64)))) 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) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
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(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
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(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))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))

simplify146.0ms (0.6%)

Algorithm
egg-herbie
Rules
950×times-frac
832×associate-*r*
776×associate-*l*
764×associate-/r*
668×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079214306
1190213179
Stop Event
node limit
Counts
411 → 461
Calls
Call 1
Inputs
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(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)))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(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))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
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(/.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(*.f64 -4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f 1/4) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f 1/4) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f 1/4) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f 1/4) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
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(*.f64 (*.f64 f 1/4) (PI.f64))
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(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f 1/4) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f 1/4) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f 1/4) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f 1/4) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
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(*.f64 (*.f64 f 1/4) (PI.f64))
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(*.f64 (*.f64 f 1/4) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f 1/4) (PI.f64))
(*.f64 f (*.f64 1/4 (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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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)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) 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)))
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(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 2 (PI.f64))))) 1)
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 2 (PI.f64)))))
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(fabs.f64 (cbrt.f64 (/.f64 2 (PI.f64))))
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(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 2 (PI.f64))))))
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(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 2 (PI.f64)))))
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(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 f)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 f))) (pow.f64 (cbrt.f64 f) 2))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 f)) (sqrt.f64 f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (*.f64 f (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 2 (/.f64 (/.f64 2 f) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 2 (*.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (PI.f64)))) (/.f64 2 (*.f64 (cbrt.f64 f) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (sqrt.f64 f)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 2 (*.f64 (sqrt.f64 f) (sqrt.f64 (PI.f64)))) (/.f64 2 (*.f64 (sqrt.f64 f) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 1 (*.f64 (cbrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 f) 2))
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(/.f64 (/.f64 4 (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)))))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 (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 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 f (PI.f64)) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 4 (PI.f64)) f)
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(/.f64 (/.f64 4 (PI.f64)) f)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(/.f64 (/.f64 4 (PI.f64)) f)
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(/.f64 (/.f64 4 (PI.f64)) f)
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 (PI.f64)) f)

eval966.0ms (4.1%)

Compiler

Compiled 43991 to 33368 computations (24.1% saved)

prune250.0ms (1.1%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1822111833
Fresh11920
Picked235
Done011
Total1835241859
Accuracy
97.8%
Counts
1859 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.7%
(neg.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))
96.0%
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) -1/4)))
96.5%
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4)))
96.4%
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4))))
96.3%
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
96.4%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
96.4%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) 4)) (log.f64 1/8)))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 1/8)))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))) 4)) (log.f64 1/8)))
96.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
5.5%
(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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
96.5%
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
5.4%
(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))))
96.4%
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
96.4%
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
78.7%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
95.3%
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
Compiler

Compiled 1546 to 1202 computations (22.3% saved)

regimes83.0ms (0.4%)

Counts
60 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4))))
(neg.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(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 (*.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 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (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 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(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 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 1/8)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 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 f (PI.f64)))))) 2))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (PI.f64))))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 4))) 1))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 2) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (-.f64 (pow.f64 (E.f64) (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 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)))) 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)))) 16))))
(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 (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) 4)) (log.f64 1/8)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (PI.f64) (*.f64 1/4 (log.f64 (*.f64 f (/.f64 4 (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (log.f64 (pow.f64 (exp.f64 -1/24) (PI.f64))) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (*.f64 (*.f64 1/16 (PI.f64)) 2)))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))))))
(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))))))
Calls

6 calls:

26.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
26.0ms
f
8.0ms
(/.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)))))
7.0ms
(*.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
96.7%1f
96.7%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))))))))
96.7%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)))))))
96.7%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))))))
96.7%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)))))
96.7%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes51.0ms (0.2%)

Counts
52 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4))))
(neg.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(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 (*.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 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (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 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(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 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 1/8)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 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 f (PI.f64)))))) 2))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (PI.f64))))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 4))) 1))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 2) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (-.f64 (pow.f64 (E.f64) (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 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)))) 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)))) 16))))
(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 (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) 4)) (log.f64 1/8)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (*.f64 (PI.f64) (*.f64 1/4 (log.f64 (*.f64 f (/.f64 4 (PI.f64))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))))))
Calls

2 calls:

23.0ms
f
22.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
Results
AccuracySegmentsBranch
96.7%1f
96.7%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes51.0ms (0.2%)

Counts
49 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4))))
(neg.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(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 (*.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 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (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 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(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 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 1/8)))
(neg.f64 (exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 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 f (PI.f64)))))) 2))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (PI.f64))))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 4))) 1))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 2) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))
(neg.f64 (-.f64 (pow.f64 (E.f64) (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) 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)))) 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)))) 16))))
(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 (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))) 4)) (log.f64 1/8)))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
Calls

2 calls:

26.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
21.0ms
f
Results
AccuracySegmentsBranch
96.7%1f
96.7%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.1%)

Counts
26 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4))))
(neg.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(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 (*.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 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (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 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(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 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (*.f64 (PI.f64) 1/4))))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 2 f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/4))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
Calls

1 calls:

13.0ms
f
Results
AccuracySegmentsBranch
96.6%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts
11 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4))))
(neg.f64 (/.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(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 (*.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 f (PI.f64))) (/.f64 4 (PI.f64)))))
Outputs
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4)))
Calls

1 calls:

7.0ms
f
Results
AccuracySegmentsBranch
96.5%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
96.4%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 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
Calls

1 calls:

2.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 2 to 1 computations (50% saved)

simplify26.0ms (0.1%)

Algorithm
egg-herbie
Rules
116×neg-mul-1
76×unsub-neg
74×*-commutative
66×distribute-lft-neg-in
66×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068425
1128425
2185425
3216409
4232409
5308409
6418409
7421409
8428409
9430409
10434409
11440409
12442409
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2))))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2)))))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2)))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2) f) (/.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 1/2)))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 f))) (sqrt.f64 f)))))
(*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 f))) (sqrt.f64 f)))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(*.f64 (log.f64 (fma.f64 f (+.f64 (*.f64 (PI.f64) -1/24) (*.f64 2 (*.f64 (PI.f64) 1/16))) (/.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 f))) (sqrt.f64 f)))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(*.f64 (log.f64 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) (neg.f64 4))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (*.f64 (PI.f64) -1/4))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 1/8)))
(*.f64 (log.f64 1/8) (/.f64 -1 (/.f64 (PI.f64) 4)))
Compiler

Compiled 122 to 100 computations (18% saved)

soundness3.2s (13.5%)

Rules
1738×fma-def
1738×fma-def
1738×fma-def
1440×times-frac
1440×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01545001
14674621
218704270
045398
1707390
089319477
1225417020
045331
1685275
041201
1642195
079214306
1190213179
020112
1313112
25540112
01545001
14674621
218704270
045331
1685275
079020397
1194518958
041201
1642195
01545001
14674621
218704270
045398
1707390
089319477
1225417020
045398
1707390
045331
1685275
079020397
1194518958
045331
1685275
079020397
1194518958
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
unsound
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2673 to 2079 computations (22.2% saved)

end0.0ms (0%)

preprocess98.0ms (0.4%)

Compiler

Compiled 308 to 234 computations (24% saved)

Profiling

Loading profile data...