VandenBroeck and Keller, Equation (20)

Time bar (total: 31.4s)

analyze502.0ms (1.6%)

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 (31.9%)

Results
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms512invalid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms2048valid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
0.0ms256valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms2048valid
3.0ms512invalid
0.0ms256invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
1.0ms2048valid
0.0ms256invalid
1.0ms2048valid
1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
233.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256invalid
0.0ms512valid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
5.0ms512invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms2048valid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
3.0ms2048valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
1.0ms2048valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
2.0ms2048valid
2.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms512valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256invalid
0.0ms256valid
0.0ms512valid
0.0ms256invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
0.0ms512invalid
0.0ms512valid
3.0ms1024invalid
0.0ms256invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256invalid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
2.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms256invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256invalid
0.0ms512invalid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256invalid
1.0ms1024valid
2.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
0.0ms256invalid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
2.0ms1024invalid
0.0ms256valid
0.0ms256invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
6.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
2.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms2048valid
0.0ms512valid
0.0ms256invalid
0.0ms256invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
5.0ms256valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms2048valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
1.0ms2048valid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
1.0ms2048valid
0.0ms512invalid
1.0ms2048valid
1.0ms1024invalid
0.0ms512valid
2.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms2048valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
12.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
1.0ms2048valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
0.0ms256invalid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
0.0ms256invalid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
2.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
1.0ms2048valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
2.0ms1024invalid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
3.0ms2048valid
0.0ms256valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256invalid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
0.0ms256valid
0.0ms512valid
1.0ms2048valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
5.0ms512invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
0.0ms512valid
0.0ms256invalid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512valid
0.0ms512valid
2.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms2048valid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
2.0ms2048valid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
2.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
0.0ms256valid
2.0ms512invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms512invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
5.0ms512invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
0.0ms256invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
1.0ms1024invalid
2.0ms1024invalid
1.0ms2048valid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms256invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
0.0ms256invalid
1.0ms2048valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
0.0ms512valid
0.0ms256invalid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024invalid
0.0ms256valid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms512invalid
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1.0ms1024valid
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1.0ms1024valid
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1.0ms1024valid
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0.0ms256valid
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1.0ms1024valid
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1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
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1.0ms1024invalid
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1.0ms1024invalid
1.0ms2048valid
0.0ms512valid
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1.0ms1024valid
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1.0ms1024valid
0.0ms256valid
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1.0ms1024valid
1.0ms1024invalid
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1.0ms1024invalid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024invalid
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1.0ms2048valid
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1.0ms2048valid
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1.0ms1024valid
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0.0ms512valid
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1.0ms1024valid
1.0ms1024invalid
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1.0ms1024valid
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1.0ms1024invalid
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1.0ms1024invalid
0.0ms256valid
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1.0ms1024valid
1.0ms1024valid
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1.0ms1024valid
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1.0ms1024valid
0.0ms512invalid
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1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256invalid
0.0ms512invalid
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1.0ms1024invalid
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1.0ms1024invalid
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1.0ms1024invalid
0.0ms256valid
1.0ms2048valid
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0.0ms512valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms256valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
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0.0ms256valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
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1.0ms1024invalid
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0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
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1.0ms2048valid
1.0ms1024valid
1.0ms1024invalid
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0.0ms512invalid
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0.0ms512invalid
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0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms512valid
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1.0ms1024invalid
0.0ms256valid
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1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
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0.0ms512valid
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0.0ms256valid
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1.0ms1024valid
0.0ms256valid
0.0ms512invalid
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0.0ms512invalid
1.0ms1024invalid
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1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
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1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
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0.0ms512invalid
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1.0ms512valid
1.0ms1024valid
1.0ms1024invalid
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1.0ms1024valid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
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1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
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0.0ms256valid
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1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
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1.0ms1024valid
0.0ms512invalid
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1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
9.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512invalid
0.0ms512valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024invalid
0.0ms256valid
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1.0ms1024invalid
1.0ms1024invalid
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0.0ms512valid
1.0ms1024invalid
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1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms512invalid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms256valid
1.0ms1024invalid
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1.0ms1024invalid
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0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
1.0ms1024invalid
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1.0ms1024valid
0.0ms256valid
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1.0ms1024valid
0.0ms512invalid
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1.0ms1024valid
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0.0ms512valid
0.0ms256valid
1.0ms2048valid
1.0ms1024valid
0.0ms512valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
1.0ms2048valid
0.0ms512invalid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256invalid
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1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
0.0ms256invalid
1.0ms2048valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
2.0ms2048valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
2.0ms2048valid
0.0ms512invalid
0.0ms512valid
0.0ms512invalid
0.0ms512invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
0.0ms512invalid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
1.0ms1024invalid
0.0ms512invalid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms512invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms1024invalid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms512invalid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
1.0ms256valid
0.0ms256valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
0.0ms256invalid
0.0ms512valid
0.0ms256valid
0.0ms512valid
1.0ms1024invalid
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms512invalid
0.0ms512invalid
1.0ms1024valid
1.0ms1024invalid
0.0ms256valid
0.0ms256invalid
1.0ms1024valid
1.0ms1024valid
0.0ms256invalid
1.0ms1024invalid
1.0ms1024valid
0.0ms256invalid
0.0ms512valid
0.0ms512invalid
0.0ms512valid
1.0ms1024valid
1.0ms2048valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
Bogosity

preprocess1.3s (4.2%)

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
2460-0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
80-0-(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
00-0-(PI.f64)
00-0-(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
00-0-(*.f64 (/.f64 (PI.f64) 4) f)
00-0-(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
00-0-f
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
00-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
00-0-(/.f64 (PI.f64) 4)
00-0-(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
00-0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
00-0-4
00-0-1
00-0-(/.f64 1 (/.f64 (PI.f64) 4))
Iterations

Useful iterations: 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)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(*.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)))
6.6%
(*.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)))
6.6%
(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 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 104 to 78 computations (25% saved)

localize2.5s (8%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.4%
(*.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)))
98.4%
(exp.f64 (PI.f64))
96.5%
(/.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))))
11.4%
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)))
99.5%
(/.f64 (PI.f64) (/.f64 -4 f))
99.4%
(*.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)))
96.5%
(/.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)))))
11.4%
(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
96.5%
(/.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)))))
11.4%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 487 to 327 computations (32.9% saved)

series227.0ms (0.7%)

Counts
12 → 132
Calls

33 calls:

TimeVariablePointExpression
40.0ms
f
@inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
39.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
36.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
24.0ms
f
@inf
(*.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)))
22.0ms
f
@-inf
(*.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)))

rewrite193.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
480×associate-*r*
288×add-exp-log
285×add-log-exp
283×add-cube-cbrt
280×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044336
1876336
Stop Event
node limit
Counts
12 → 252
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
(*.f64 (/.f64 (PI.f64) 4) f)
(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
(/.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 (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 (PI.f64) (/.f64 -4 f))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)))
(/.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))))
(exp.f64 (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)))
Outputs
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
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27

simplify134.0ms (0.4%)

Algorithm
egg-herbie
Rules
1438×fma-def
1378×times-frac
778×distribute-lft-in
774×distribute-rgt-in
656×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016611167
149410483
218249576
Stop Event
node limit
Counts
384 → 86
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.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)))))
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(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (+.f64 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (*.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
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 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(+.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 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.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 (PI.f64) -1/4)) f))
(-.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))) (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 (PI.f64) -1/4)) f))
(-.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))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
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(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 f (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (*.f64 (PI.f64) 1/2)) (PI.f64)) (/.f64 (pow.f64 f 2) (/.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 1/16 (/.f64 (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)))))))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (*.f64 -2 (+.f64 (/.f64 (*.f64 (PI.f64) 0) (/.f64 (PI.f64) f)) (*.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (*.f64 (PI.f64) 1/2) (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 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 0))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (*.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64))))) 0)) -2 0))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.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 -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)) -4)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.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 -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)) -4)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.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 -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)) -4)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.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 -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)) -4)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.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 -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)) -4)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.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 -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)) -4)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.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 -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)) -4)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.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 -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)) -4)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27

eval76.0ms (0.2%)

Compiler

Compiled 4144 to 3110 computations (25% saved)

prune27.0ms (0.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New841094
Fresh000
Picked123
Done000
Total851297
Accuracy
96.6%
Counts
97 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (*.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64))))) 0)) -2 0))
95.4%
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
95.4%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
6.6%
(*.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)))
6.6%
(*.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)))
6.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
6.6%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
95.3%
(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)))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
95.3%
(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)))))))))))
Compiler

Compiled 662 to 514 computations (22.4% saved)

localize3.6s (11.3%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 f (PI.f64))
99.5%
(/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))
96.5%
(/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
11.4%
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
99.6%
(*.f64 f (*.f64 (PI.f64) 1/2))
99.6%
(/.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)))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
97.0%
(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))))
99.6%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
99.4%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
96.9%
(log.f64 (/.f64 4 (PI.f64)))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
98.4%
(pow.f64 (PI.f64) 5)
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
97.0%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
Compiler

Compiled 709 to 482 computations (32% saved)

series263.0ms (0.8%)

Counts
17 → 116
Calls

39 calls:

TimeVariablePointExpression
107.0ms
f
@0
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
23.0ms
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 f (*.f64 (PI.f64) 1/2))))
22.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
16.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
15.0ms
f
@-inf
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite194.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
425×add-exp-log
425×log1p-expm1-u
425×expm1-log1p-u
422×cbrt-prod
420×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060747
1993741
Stop Event
node limit
Counts
17 → 324
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (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)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(/.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)))
(*.f64 f (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))
(*.f64 f (PI.f64))
Outputs
(+.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (/.f64 1 (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))
(+.f64 0 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) 2)) (log.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))) (*.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))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))) 1)
(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (log.f64 (neg.f64 (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) 2) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) 1))
(log1p.f64 (-.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 5 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (fma.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(*.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (*.f64 (exp.f64 1/4) (exp.f64 -1/4)) (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2)
(log.f64 (exp.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(fma.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1)
(*.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 2)
(pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3) (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) -1)
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))

simplify244.0ms (0.8%)

Algorithm
egg-herbie
Rules
1290×fma-def
668×distribute-lft-in
656×distribute-rgt-in
614×sqr-pow
554×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106626626
1283824558
Stop Event
node limit
Counts
440 → 516
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64)))))))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64)))))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)) (*.f64 3/2 (*.f64 (PI.f64) (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))))))) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))))))))))
(+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f))))
(-.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
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(-.f64 0 (log.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
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(-.f64 (log.f64 (neg.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) (log.f64 (neg.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 1))
(log1p.f64 (-.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))) 1)
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 2)
(log.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (fma.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)))))
(*.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (*.f64 (exp.f64 1/4) (exp.f64 -1/4)) (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2)
(log.f64 (exp.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(fma.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1)
(*.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 2)
(pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3) (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) -1)
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 1/2 (*.f64 f (*.f64 (PI.f64) 0))))
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 1/2 (*.f64 f 0)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64)))))))))))
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(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) 3)
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(pow.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))) 3) 1/3)
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) 2)
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(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))))
(pow.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))))
(neg.f64 (log.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
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(neg.f64 (log.f64 (*.f64 1/4 (/.f64 (*.f64 (PI.f64) f) (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))))
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(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))))
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(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))))
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(log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))))
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(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (pow.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.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 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
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(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (pow.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (pow.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
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(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
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(pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)
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(pow.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
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(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
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(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
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(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (*.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (*.f64 (PI.f64) f)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 3)
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 2)
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) -1)
(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) 3))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))) 1))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(*.f64 (PI.f64) f)
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 (PI.f64) f)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(*.f64 (PI.f64) f)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(*.f64 (PI.f64) f)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(*.f64 (PI.f64) f)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) f)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(*.f64 (PI.f64) f)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)

eval440.0ms (1.4%)

Compiler

Compiled 20393 to 14551 computations (28.6% saved)

prune284.0ms (0.9%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New53922561
Fresh235
Picked235
Done112
Total54429573
Accuracy
96.9%
Counts
573 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (*.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64))))) 0)) -2 0))
95.5%
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
94.9%
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
93.9%
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
95.1%
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
95.4%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
95.3%
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
95.4%
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))))
95.3%
(*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))
94.1%
(*.f64 (/.f64 -4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
94.2%
(*.f64 (/.f64 -4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
94.9%
(*.f64 (/.f64 -4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
6.6%
(*.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)))
6.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
96.1%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (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)))))) (PI.f64)))
6.6%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
6.6%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))))))) (PI.f64)))
95.3%
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
37.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))))
95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
76.0%
(neg.f64 (expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
80.0%
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
94.9%
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
Compiler

Compiled 1294 to 1028 computations (20.6% saved)

localize5.0s (15.9%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.5%
(/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))
99.4%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
97.0%
(PI.f64)
11.4%
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.4%
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
99.3%
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)
97.0%
(PI.f64)
99.5%
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
99.5%
(/.f64 (log.f64 f) (PI.f64))
97.0%
(PI.f64)
97.0%
(log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
99.6%
(*.f64 (PI.f64) f)
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.5%
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
97.0%
(PI.f64)
98.5%
(pow.f64 (PI.f64) 5)
98.5%
(pow.f64 (PI.f64) 3)
98.5%
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
97.0%
(PI.f64)
Compiler

Compiled 935 to 619 computations (33.8% saved)

series18.0ms (0.1%)

Counts
15 → 101
Calls

27 calls:

TimeVariablePointExpression
7.0ms
f
@0
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
2.0ms
f
@0
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
1.0ms
f
@-inf
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
1.0ms
f
@inf
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
1.0ms
f
@0
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)

rewrite123.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
407×log1p-expm1-u
407×expm1-log1p-u
406×add-exp-log
403×add-log-exp
401×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052424
1951377
Stop Event
node limit
Counts
15 → 271
Calls
Call 1
Inputs
(PI.f64)
(PI.f64)
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(PI.f64)
(/.f64 (log.f64 f) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
(PI.f64)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(/.f64 4 (*.f64 (PI.f64) f))
(PI.f64)
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))) 1)
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 1 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) 2) (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))
(pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) -1)
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 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 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 (*.f64 (PI.f64) f) 4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(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))
(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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(*.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)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64)))) 1)
(*.f64 (log.f64 f) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))))
(pow.f64 (/.f64 (log.f64 f) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)
(log.f64 (pow.f64 f (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64))))
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(exp.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 1))

simplify313.0ms (1%)

Algorithm
egg-herbie
Rules
1438×log-prod
1052×fma-neg
680×associate-*r*
660×times-frac
610×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049212724
1119410772
2629510760
Stop Event
node limit
Counts
372 → 243
Calls
Call 1
Inputs
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(fma.f64 1 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) 2) (cbrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) 2) (cbrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) (sqrt.f64 (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (sqrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (sqrt.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (+.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (*.f64 (PI.f64) f))))
(+.f64 0 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) f) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1)
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (*.f64 (PI.f64) f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) 4)))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3/2) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3/2)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))) 1)
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(/.f64 1 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (neg.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) -1)
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 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 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 (*.f64 (PI.f64) f) 4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(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))
(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))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))) 1)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) -4) (PI.f64))
(pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 2)
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 1))
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)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (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)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (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)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (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)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (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)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (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)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (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)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (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)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (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 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
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(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 3)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(pow.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 3) 1/3)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 2)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) 1))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))))

eval833.0ms (2.7%)

Compiler

Compiled 35250 to 24438 computations (30.7% saved)

prune196.0ms (0.6%)

Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New83311844
Fresh11920
Picked235
Done134
Total84726873
Accuracy
100.0%
Counts
873 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (*.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64))))) 0)) -2 0))
94.9%
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))
95.5%
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
95.3%
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
95.4%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
95.2%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))
95.3%
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
95.3%
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
6.6%
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
94.1%
(*.f64 (/.f64 -4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
94.2%
(*.f64 (/.f64 -4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
6.6%
(*.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)))
6.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (pow.f64 (sqrt.f64 (PI.f64)) 2)))
6.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (cbrt.f64 (pow.f64 (PI.f64) 3))))
6.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
96.1%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (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)))))) (PI.f64)))
6.6%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
6.1%
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
95.2%
(*.f64 -4 (+.f64 (*.f64 -1 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
95.3%
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
80.0%
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
94.9%
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
Compiler

Compiled 1131 to 881 computations (22.1% saved)

localize911.0ms (2.9%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
Compiler

Compiled 577 to 396 computations (31.4% saved)

eval851.0ms (2.7%)

Compiler

Compiled 36641 to 26466 computations (27.8% saved)

prune119.0ms (0.4%)

Pruning

26 alts after pruning (15 fresh and 11 done)

PrunedKeptTotal
New127821280
Fresh21315
Picked055
Done066
Total1280261306
Accuracy
100.0%
Counts
1306 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))
95.5%
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
95.3%
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
95.4%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
95.2%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))
95.3%
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
95.3%
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
6.6%
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
94.1%
(*.f64 (/.f64 -4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
94.2%
(*.f64 (/.f64 -4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
6.6%
(*.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)))
6.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (pow.f64 (sqrt.f64 (PI.f64)) 2)))
6.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (cbrt.f64 (pow.f64 (PI.f64) 3))))
6.6%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
96.1%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (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)))))) (PI.f64)))
6.6%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
6.1%
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
95.2%
(*.f64 -4 (+.f64 (*.f64 -1 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
95.3%
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
95.2%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
94.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
95.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
80.0%
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
94.9%
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
Compiler

Compiled 1793 to 1312 computations (26.8% saved)

regimes156.0ms (0.5%)

Counts
48 → 2
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (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 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (+.f64 (*.f64 -1 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
(neg.f64 (expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.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 (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 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (pow.f64 (sqrt.f64 (PI.f64)) 2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (*.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64))))) 0)) -2 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))))
(*.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)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (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)))))) (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)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
Outputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (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)))))) (PI.f64)))
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
Calls

6 calls:

40.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
40.0ms
f
10.0ms
(*.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)))))))
10.0ms
(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))))))
10.0ms
(/.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)))))
Results
AccuracySegmentsBranch
99.2%2f
99.2%2(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
99.2%2(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
99.2%2(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
99.2%2(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
99.2%2(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes181.0ms (0.6%)

Counts
45 → 2
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (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 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (+.f64 (*.f64 -1 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
(neg.f64 (expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.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 (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 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (pow.f64 (sqrt.f64 (PI.f64)) 2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (*.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (*.f64 1/2 (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64))))) 0)) -2 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))))
(*.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)))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
Calls

6 calls:

62.0ms
f
48.0ms
(*.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)))))))
40.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
10.0ms
(/.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)))))
9.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
Results
AccuracySegmentsBranch
99.1%2f
99.1%2(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
99.1%2(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
99.1%2(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
99.1%2(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
99.1%2(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes117.0ms (0.4%)

Counts
41 → 2
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (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 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (+.f64 (*.f64 -1 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
(neg.f64 (expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.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 (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 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) -1/4)))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))))))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.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 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (pow.f64 (sqrt.f64 (PI.f64)) 2)))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
Calls

6 calls:

45.0ms
f
36.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
10.0ms
(*.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)))))))
9.0ms
(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))))))
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)))))
Results
AccuracySegmentsBranch
98.8%2f
98.8%2(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
98.8%2(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.8%2(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))))))
98.8%2(/.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)))))
98.8%2(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes27.0ms (0.1%)

Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (*.f64 (/.f64 f 4) (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
(*.f64 -4 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 -4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (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 f (*.f64 (PI.f64) 1/2))))))
Outputs
(/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
Calls

1 calls:

26.0ms
f
Results
AccuracySegmentsBranch
98.5%2f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

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

1 calls:

8.0ms
f
Results
AccuracySegmentsBranch
98.4%2f
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
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
Outputs
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
6.1%1f
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6054397424597623
22835.74115620836
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6054397424597623
22835.74115620836
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6054397424597623
22835.74115620836
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch41.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
0.7708698220540419
29075.368673420755
Results
26.0ms96×256valid
9.0ms16×512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 226 to 185 computations (18.1% saved)

bsearch42.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
0.7708698220540419
29075.368673420755
Results
25.0ms96×256valid
10.0ms16×512valid
0.0ms256valid
0.0ms256valid
1.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 226 to 185 computations (18.1% saved)

simplify20.0ms (0.1%)

Algorithm
egg-herbie
Rules
56×*-commutative
34×neg-mul-1
22×unsub-neg
18×distribute-lft-neg-in
18×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
091752
1131752
2149752
3159744
4166744
5189744
6221744
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (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)))))) (PI.f64))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f))))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 f 5854679515581645/4503599627370496) (/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
Outputs
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (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)))))) (PI.f64))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (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)))))) (PI.f64))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5))))))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))) (/.f64 -1 (/.f64 (PI.f64) 4))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2 (*.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f))))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 1/2) -2 (*.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (*.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 1/2) -2 (*.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1) (*.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 1/192 (*.f64 (PI.f64) 2)) 1/2) -2 (*.f64 (*.f64 (PI.f64) 2) 1/16)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -1 (/.f64 (PI.f64) 4))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 f 5854679515581645/4503599627370496) (/.f64 (*.f64 -4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(if (<=.f64 f 5854679515581645/4503599627370496) (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0)))))
(*.f64 -4 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))))
Compiler

Compiled 219 to 166 computations (24.2% saved)

soundness2.3s (7.4%)

Rules
1554×fma-def
1438×fma-def
1438×fma-def
1438×log-prod
1438×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033584
198528
2262484
3772484
42705484
0106626626
1283824558
049212724
1119410772
2629510760
016611167
149410483
218249576
060747
1993741
049212724
1119410772
2629510760
060747
1993741
016611167
149410483
218249576
016611167
149410483
218249576
060747
1993741
0106626626
1283824558
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1930 to 1459 computations (24.4% saved)

end0.0ms (0%)

preprocess131.0ms (0.4%)

Compiler

Compiled 504 to 368 computations (27% saved)

Profiling

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