Logistic regression 2

Time bar (total: 9.8s)

analyze83.0ms (0.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample4.6s (46.4%)

Results
2.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
61.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms512valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
1.0ms8192exit
1.0ms8192exit
0.0ms1024valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
2.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms512valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms512valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
5.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms512valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
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
1.0ms8192exit
12.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms1024valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms512valid
0.0ms256valid
0.0ms256valid
3.0ms512valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
4.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
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0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
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0.0ms256valid
0.0ms256infinite
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
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0.0ms256valid
1.0ms8192exit
0.0ms256valid
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0.0ms256valid
1.0ms8192exit
54.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
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1.0ms8192exit
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0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms1024valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
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0.0ms256infinite
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1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
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0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
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0.0ms256infinite
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0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
2.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
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0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
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0.0ms256valid
1.0ms8192exit
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0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms512valid
0.0ms256valid
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0.0ms256valid
1.0ms8192exit
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0.0ms256valid
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1.0ms8192exit
0.0ms256infinite
1.0ms8192exit
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1.0ms8192exit
0.0ms256infinite
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0.0ms512valid
0.0ms256valid
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1.0ms8192exit
0.0ms256valid
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0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
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1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
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1.0ms8192exit
1.0ms8192exit
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1.0ms8192exit
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1.0ms8192exit
0.0ms256valid
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1.0ms8192exit
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0.0ms256infinite
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1.0ms8192exit
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1.0ms8192exit
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1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
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1.0ms8192exit
0.0ms256infinite
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0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
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1.0ms8192exit
0.0ms256valid
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1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
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0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
1.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms1024valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms512valid
0.0ms256valid
1.0ms8192exit
1.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
Bogosity

preprocess389.0ms (4%)

Algorithm
egg-herbie
Rules
376×fma-define
294×fma-neg
88×cancel-sign-sub-inv
72×sub-neg
68×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(log.f64 (+.f64 1 (exp.f64 x)))
00-0-x
00-0-(*.f64 x y)
00-0-(+.f64 1 (exp.f64 x))
00-0-(exp.f64 x)
00-0-(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
00-0-y
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))
Compiler

Compiled 69 to 38 computations (44.9% saved)

eval1.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize155.0ms (1.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.2%
(log1p.f64 (exp.f64 x))
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
99.2%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 36 to 9 computations (75% saved)

series71.0ms (0.7%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
32.0ms
x
@inf
(log1p.f64 (exp.f64 x))
23.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
8.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms
x
@0
(log1p.f64 (exp.f64 x))
1.0ms
x
@inf
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite390.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
1318×prod-diff
1208×unpow-prod-down
674×log-prod
638×log1p-expm1-u
638×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
113654
2176754
Stop Event
node limit
Counts
3 → 237
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
Outputs
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
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(fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))

simplify345.0ms (3.5%)

Algorithm
egg-herbie
Rules
1126×fma-neg
702×distribute-lft-in
574×distribute-rgt-in
552×times-frac
518×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05029874
110929698
228979545
Stop Event
node limit
Counts
285 → 246
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
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(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 2 x)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 7) (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
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(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 7) (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))

eval307.0ms (3.1%)

Compiler

Compiled 6077 to 2035 computations (66.5% saved)

prune49.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3085313
Fresh000
Picked112
Done000
Total3096315
Accuracy
99.7%
Counts
315 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.2%
(-.f64 (log.f64 2) (*.f64 x y))
99.2%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
81.6%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
49.4%
(*.f64 x (neg.f64 y))
Compiler

Compiled 107 to 80 computations (25.2% saved)

localize488.0ms (5%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
100.0%
(-.f64 (log.f64 2) (*.f64 x y))
100.0%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
100.0%
(log1p.f64 (log1p.f64 (exp.f64 x)))
99.9%
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
99.2%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 116 to 61 computations (47.4% saved)

series96.0ms (1%)

Counts
8 → 147
Calls

42 calls:

TimeVariablePointExpression
44.0ms
x
@-inf
(log1p.f64 (log1p.f64 (exp.f64 x)))
17.0ms
x
@inf
(log1p.f64 (log1p.f64 (exp.f64 x)))
3.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
2.0ms
x
@-inf
(*.f64 x (-.f64 1/2 y))
2.0ms
y
@0
(-.f64 (log.f64 2) (*.f64 x y))

rewrite197.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1143×log1p-expm1-u
336×associate-*r*
193×expm1-log1p-u
190×add-cube-cbrt
190×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026199
1400191
26121191
Stop Event
node limit
Counts
8 → 230
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
Outputs
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (log1p.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 2))
(log.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (log.f64 2))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 2)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (*.f64 x y) (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (*.f64 x y) (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
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(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
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(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
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(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
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(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
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(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
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(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 1))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (-.f64 (fma.f64 x 1/8 1/2) y) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2) (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1)
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(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))

simplify241.0ms (2.5%)

Algorithm
egg-herbie
Rules
1462×fma-neg
1286×times-frac
888×distribute-lft-neg-in
536×fma-define
468×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055814142
1128313115
2451013104
Stop Event
node limit
Counts
377 → 316
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))
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(/.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (fma.f64 x 1/8 1/2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (log.f64 2)))
(log1p.f64 (log.f64 2))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))
(+.f64 (log1p.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (+.f64 (log.f64 2) 1))))
(fma.f64 1/2 (/.f64 x (+.f64 (log.f64 2) 1)) (log1p.f64 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2))))))
(+.f64 (log1p.f64 (log.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (/.f64 x (+.f64 (log.f64 2) 1)))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (/.f64 x (+.f64 (log.f64 2) 1))) (log1p.f64 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))))
(+.f64 (log1p.f64 (log.f64 2)) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 3)) (/.f64 3/8 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (/.f64 x (+.f64 (log.f64 2) 1))))))
(+.f64 (log1p.f64 (log.f64 2)) (fma.f64 1/2 (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (/.f64 x (+.f64 (log.f64 2) 1))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 3)) (/.f64 -3/8 (pow.f64 (+.f64 (log.f64 2) 1) 2)))))))
(+.f64 (fma.f64 1/2 (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (/.f64 x (+.f64 (log.f64 2) 1))) (log1p.f64 (log.f64 2))) (*.f64 (pow.f64 x 3) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 3)) (/.f64 -3/8 (pow.f64 (+.f64 (log.f64 2) 1) 2))) 1/6)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (*.f64 -1/192 (pow.f64 x 4)) (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
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(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))

eval256.0ms (2.6%)

Compiler

Compiled 6768 to 4287 computations (36.7% saved)

prune74.0ms (0.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3785383
Fresh000
Picked235
Done011
Total3809389
Accuracy
99.7%
Counts
389 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.2%
(-.f64 (log.f64 2) (*.f64 x y))
99.2%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
54.6%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
52.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
42.9%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
37.2%
(*.f64 x (-.f64 1/2 y))
49.4%
(*.f64 x (neg.f64 y))
6.0%
(*.f64 1/8 (pow.f64 x 2))
Compiler

Compiled 126 to 100 computations (20.6% saved)

localize200.0ms (2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
97.0%
(log.f64 (*.f64 x (-.f64 1/2 y)))
96.5%
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
100.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
100.0%
(*.f64 1/8 (pow.f64 x 2))
100.0%
(*.f64 x (+.f64 1/2 (*.f64 1/8 x)))
100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
Compiler

Compiled 107 to 78 computations (27.1% saved)

series62.0ms (0.6%)

Counts
7 → 99
Calls

30 calls:

TimeVariablePointExpression
16.0ms
x
@0
(log.f64 (*.f64 x (-.f64 1/2 y)))
16.0ms
x
@-inf
(log.f64 (*.f64 x (-.f64 1/2 y)))
7.0ms
x
@inf
(log.f64 (*.f64 x (-.f64 1/2 y)))
4.0ms
x
@-inf
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
1.0ms
x
@0
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))

rewrite188.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1242×log1p-expm1-u
416×expm1-log1p-u
312×associate-*r*
178×associate-*l*
168×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025167
1372147
25422147
Stop Event
node limit
Counts
7 → 213
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(*.f64 x (+.f64 1/2 (*.f64 1/8 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(fma.f64 (fma.f64 x 1/8 1/2) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(+.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512))) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 1/16 x))))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64))) (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512)) x) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 1/16 x))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 -1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 1))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 1/512)))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))) 1))
(exp.f64 (+.f64 (log.f64 (*.f64 x 1/8)) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 x 1/8))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x 1/2) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 0 (log.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (-.f64 1/2 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(*.f64 1 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1)
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (-.f64 (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y))) (*.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)))) (-.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log1p.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) 1))
(exp.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))

simplify145.0ms (1.5%)

Algorithm
egg-herbie
Rules
1162×cancel-sign-sub-inv
852×times-frac
850×fma-neg
678×distribute-lft-neg-in
640×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053110521
111389745
233779664
Stop Event
node limit
Counts
312 → 310
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(log.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y))
(+.f64 (log.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -2 y) (*.f64 -2 (pow.f64 y 2))))
(+.f64 (log.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -8/3 (pow.f64 y 3)) (+.f64 (*.f64 -2 y) (*.f64 -2 (pow.f64 y 2)))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))))
(+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(-.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y)))) (*.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y)))) (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3))))
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(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x 1/8 1/2))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(log.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y))
(+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2))
(fma.f64 y -2 (log.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -2 y) (*.f64 -2 (pow.f64 y 2))))
(+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 (+.f64 y (pow.f64 y 2))))
(fma.f64 -2 (+.f64 y (pow.f64 y 2)) (log.f64 (*.f64 1/2 x)))
(fma.f64 -2 (*.f64 (+.f64 y 1) y) (log.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -8/3 (pow.f64 y 3)) (+.f64 (*.f64 -2 y) (*.f64 -2 (pow.f64 y 2)))))
(+.f64 (log.f64 (*.f64 1/2 x)) (fma.f64 -8/3 (pow.f64 y 3) (*.f64 -2 (+.f64 y (pow.f64 y 2)))))
(+.f64 (log.f64 (*.f64 1/2 x)) (fma.f64 -2 (+.f64 y (pow.f64 y 2)) (*.f64 -8/3 (pow.f64 y 3))))
(+.f64 (log.f64 (*.f64 1/2 x)) (fma.f64 -2 (*.f64 (+.f64 y 1) y) (*.f64 -8/3 (pow.f64 y 3))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 y))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1/2 y)))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 y) (/.f64 -1/2 y)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2)))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 y) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2)))))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 y) (+.f64 (/.f64 -1/2 y) (/.f64 -1/8 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2))) (/.f64 1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 y) (-.f64 (log.f64 (neg.f64 x)) (+.f64 (/.f64 1/2 y) (+.f64 (/.f64 1/8 (pow.f64 y 2)) (/.f64 1/24 (pow.f64 y 3))))))
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y)) (+.f64 (+.f64 (/.f64 -1/24 (pow.f64 y 3)) (/.f64 -1/2 y)) (/.f64 -1/8 (pow.f64 y 2))))
(+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))
(-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))
(-.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y)))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (log.f64 x) (-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (/.f64 1/2 y)))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 y))
(-.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y))))
(+.f64 (log.f64 x) (-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2)))))
(+.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (/.f64 1/8 (pow.f64 y 2))) (/.f64 -1/2 y))
(+.f64 (+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (/.f64 -1/8 (pow.f64 y 2))) (/.f64 -1/2 y))
(-.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y)))) (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))))
(+.f64 (log.f64 x) (-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2))) (/.f64 1/24 (pow.f64 y 3)))))
(-.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 y) (+.f64 (/.f64 1/8 (pow.f64 y 2)) (/.f64 1/24 (pow.f64 y 3)))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 -1/24 (pow.f64 y 3)) (/.f64 -1/2 y)) (/.f64 -1/8 (pow.f64 y 2))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(*.f64 x (-.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 1 (fma.f64 x (-.f64 1/2 y) -1))
(+.f64 (*.f64 x (-.f64 1/2 y)) 0)
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 0 (log.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 2 (log.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (-.f64 1/2 y)) 1))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(*.f64 1 (log.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (-.f64 (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y))) (*.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (-.f64 1/2 y)) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)))) (-.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(log1p.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) 1))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) -1))
(exp.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 0 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 1/2 y)))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 x (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 0 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval156.0ms (1.6%)

Compiler

Compiled 4827 to 3903 computations (19.1% saved)

prune67.0ms (0.7%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3082310
Fresh000
Picked235
Done044
Total3109319
Accuracy
99.7%
Counts
319 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.2%
(-.f64 (log.f64 2) (*.f64 x y))
99.2%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
54.6%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
52.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
27.8%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))
37.2%
(*.f64 x (-.f64 1/2 y))
49.4%
(*.f64 x (neg.f64 y))
51.6%
(log.f64 2)
Compiler

Compiled 75 to 59 computations (21.3% saved)

localize82.0ms (0.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))
96.7%
(exp.f64 (log.f64 (*.f64 1/2 x)))
Compiler

Compiled 31 to 26 computations (16.1% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(exp.f64 (log.f64 (*.f64 1/2 x)))
1.0ms
x
@inf
(exp.f64 (log.f64 (*.f64 1/2 x)))
1.0ms
x
@0
(exp.f64 (log.f64 (*.f64 1/2 x)))
1.0ms
x
@inf
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))
1.0ms
x
@-inf
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))

rewrite87.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1544×prod-diff
1018×unpow-prod-down
564×log1p-expm1-u
564×expm1-log1p-u
538×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01330
112526
2156226
Stop Event
node limit
Counts
2 → 133
Calls
Call 1
Inputs
(exp.f64 (log.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))
Outputs
(+.f64 0 (*.f64 1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) 1)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 x (log.f64 (exp.f64 1/2)))
(*.f64 x (pow.f64 (cbrt.f64 1/2) 3))
(*.f64 x (pow.f64 1/8 1/3))
(*.f64 x (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (*.f64 1/2 x) 1)
(*.f64 1 (*.f64 1/2 x))
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) 1/2) 1))
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) 1/2) 1))
(*.f64 (exp.f64 (log.f64 1/2)) x)
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 1/2)) (pow.f64 (exp.f64 1) (log.f64 x)))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 x)) (pow.f64 (exp.f64 1) (log.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 1/2 x)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 (log.f64 1/2) 1)) (pow.f64 (exp.f64 1) (*.f64 (log.f64 x) 1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 x))) 3))
(*.f64 (pow.f64 1 1/3) (*.f64 1/2 x))
(*.f64 (pow.f64 (exp.f64 (log.f64 1/2)) 1) x)
(*.f64 (pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 1/2) 3) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 x))) 2) 3) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 1/8 1/3) x)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 1/8)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 1/8)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 1/2 x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/2 x) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2) 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/4) x) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (cbrt.f64 (*.f64 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 x))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/4) (sqrt.f64 (*.f64 1/2 x))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (*.f64 1/2 x))))) (pow.f64 (exp.f64 1) 1))
(pow.f64 (*.f64 1/2 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (*.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) 1) (cbrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) 1) (sqrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (cbrt.f64 (log.f64 (*.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))) 1))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 1/2 x (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/2 x (log.f64 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 (exp.f64 x)) -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (fma.f64 2 (sqrt.f64 (exp.f64 x)) -1))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1) 1))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 x) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 1/2 x))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (exp.f64 (log.f64 1/2)) x (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))

simplify137.0ms (1.4%)

Algorithm
egg-herbie
Rules
1224×unswap-sqr
1184×fma-neg
782×fma-define
704×distribute-lft-neg-in
574×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03174429
15494314
212034253
337844226
Stop Event
node limit
Counts
157 → 185
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 0 (*.f64 1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) 1)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 x (log.f64 (exp.f64 1/2)))
(*.f64 x (pow.f64 (cbrt.f64 1/2) 3))
(*.f64 x (pow.f64 1/8 1/3))
(*.f64 x (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (*.f64 1/2 x) 1)
(*.f64 1 (*.f64 1/2 x))
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) 1/2) 1))
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) 1/2) 1))
(*.f64 (exp.f64 (log.f64 1/2)) x)
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 1/2)) (pow.f64 (exp.f64 1) (log.f64 x)))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 x)) (pow.f64 (exp.f64 1) (log.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 1/2 x)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 (log.f64 1/2) 1)) (pow.f64 (exp.f64 1) (*.f64 (log.f64 x) 1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 x))) 3))
(*.f64 (pow.f64 1 1/3) (*.f64 1/2 x))
(*.f64 (pow.f64 (exp.f64 (log.f64 1/2)) 1) x)
(*.f64 (pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 1/2) 3) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 x))) 2) 3) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 1/8 1/3) x)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 1/8)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 1/8)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 1/2 x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/2 x) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2) 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/4) x) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (cbrt.f64 (*.f64 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 x))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/4) (sqrt.f64 (*.f64 1/2 x))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) x)
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (*.f64 1/2 x))))) (pow.f64 (exp.f64 1) 1))
(pow.f64 (*.f64 1/2 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (*.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) 1) (cbrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) 1) (sqrt.f64 (log.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (cbrt.f64 (log.f64 (*.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))) 1))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 1/2 x (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/2 x (log.f64 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 (exp.f64 x)) -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (fma.f64 2 (sqrt.f64 (exp.f64 x)) -1))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1) 1))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 x) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 1/2 x))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (exp.f64 (log.f64 1/2)) x (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 0 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) 1)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x (log.f64 (exp.f64 1/2)))
(*.f64 1/2 x)
(*.f64 x (pow.f64 (cbrt.f64 1/2) 3))
(*.f64 1/2 x)
(*.f64 x (pow.f64 1/8 1/3))
(*.f64 x (cbrt.f64 1/8))
(*.f64 x (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 x) 1)
(*.f64 1/2 x)
(*.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (pow.f64 (*.f64 1/2 x) 2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (pow.f64 (*.f64 1/2 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2))
(*.f64 1/2 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) 1/2) 1))
(*.f64 1/2 x)
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2))
(*.f64 1/2 x)
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) 1/2) 1))
(*.f64 1/2 x)
(*.f64 (exp.f64 (log.f64 1/2)) x)
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/2 x)
(*.f64 (pow.f64 (exp.f64 1) (log.f64 1/2)) (pow.f64 (exp.f64 1) (log.f64 x)))
(*.f64 (pow.f64 (E.f64) (log.f64 1/2)) (pow.f64 (E.f64) (log.f64 x)))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 x)) (pow.f64 (exp.f64 1) (log.f64 1/2)))
(*.f64 (pow.f64 (E.f64) (log.f64 1/2)) (pow.f64 (E.f64) (log.f64 x)))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 x) 2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 1/2 x)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 1/2 x)))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 (log.f64 1/2) 1)) (pow.f64 (exp.f64 1) (*.f64 (log.f64 x) 1)))
(*.f64 (pow.f64 (E.f64) (log.f64 1/2)) (pow.f64 (E.f64) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 x))) 3))
(*.f64 1/2 x)
(*.f64 (pow.f64 1 1/3) (*.f64 1/2 x))
(*.f64 1/2 x)
(*.f64 (pow.f64 (exp.f64 (log.f64 1/2)) 1) x)
(*.f64 1/2 x)
(*.f64 (pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(*.f64 1/2 x)
(*.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 1/2 x)
(*.f64 (pow.f64 (cbrt.f64 1/2) 3) x)
(*.f64 1/2 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 x))) 2) 3) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(*.f64 (pow.f64 1/8 1/3) x)
(*.f64 x (cbrt.f64 1/8))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 1/8)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 1/8)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (sqrt.f64 (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 1/2 x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/2 x) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 1/2 x) 3/2)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2) 1/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/8)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/4) x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (pow.f64 x 2) (*.f64 1/4 x))))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 1/4 (pow.f64 x 3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (cbrt.f64 (*.f64 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x (cbrt.f64 (*.f64 1/2 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 4) 2)))
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(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1/2)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (/.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) -1)
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 1/2 (*.f64 x (fma.f64 1/2 x (log.f64 1/2))) (pow.f64 (log.f64 2) 2)))
(pow.f64 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) -1)
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 x -1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) -1/4)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 (exp.f64 x)) -1)))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (fma.f64 2 (sqrt.f64 (exp.f64 x)) -1))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1/3))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1) 1))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (*.f64 1/2 x) 1 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (pow.f64 (*.f64 1/2 x) 2)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (pow.f64 (*.f64 1/2 x) 2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (exp.f64 (log.f64 1/2)) x (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))

eval67.0ms (0.7%)

Compiler

Compiled 2636 to 2251 computations (14.6% saved)

prune41.0ms (0.4%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New1823185
Fresh000
Picked022
Done077
Total18212194
Accuracy
99.7%
Counts
194 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.2%
(-.f64 (log.f64 2) (*.f64 x y))
99.2%
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
0.1%
(+.f64 (log.f64 2) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))))))
0.1%
(+.f64 (log.f64 2) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (cbrt.f64 (log.f64 (*.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))))))
54.6%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
52.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
27.8%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))
49.6%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
37.2%
(*.f64 x (-.f64 1/2 y))
49.4%
(*.f64 x (neg.f64 y))
51.6%
(log.f64 2)
Compiler

Compiled 321 to 250 computations (22.1% saved)

regimes28.0ms (0.3%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (log.f64 2) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (cbrt.f64 (log.f64 (*.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 2) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))))))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

11.0ms
y
10.0ms
x
6.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes21.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

8.0ms
x
7.0ms
y
5.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes20.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
Calls

2 calls:

12.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
99.6%2x
90.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 2) (*.f64 x y))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.4%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
Calls

2 calls:

22.0ms
y
14.0ms
x
Results
AccuracySegmentsBranch
76.2%5y
80.6%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 1/8 (pow.f64 x 2))
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
80.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -8.1b remaining (-25%)

Threshold costs -8.1b (-25%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
Outputs
(*.f64 x (neg.f64 y))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
49.4%1y
49.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch35.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
-5610475.108953563
-0.0018160460265301075
Results
13.0ms88×256valid
8.0ms23×512valid
7.0ms14×1024valid
0.0ms256infinite
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 214 to 165 computations (22.9% saved)

bsearch24.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-5610475.108953563
-0.0018160460265301075
Results
20.0ms128×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 178 to 138 computations (22.5% saved)

bsearch23.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
-5610475.108953563
-0.0018160460265301075
Results
19.0ms128×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 160 to 120 computations (25% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-1.3542285526395607e-25
-2.2032857549590195e-32
Results
17.0ms128×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 160 to 129 computations (19.4% saved)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
-1.3542285526395607e-25
-2.2032857549590195e-32
Results
18.0ms128×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 124 to 102 computations (17.7% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×+-commutative
18×*-commutative
12×sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048343
172343
282343
387343
489343
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -140) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -3039929748475085/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -55) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8563486156235759/178405961588244985132285746181186892047843328) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 1/2 x)))
(if (<=.f64 x -6850788924988607/45671926166590716193865151022383844364247891968) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -140) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -140) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -3039929748475085/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3039929748475085/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -55) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -55) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8563486156235759/178405961588244985132285746181186892047843328) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 1/2 x)))
(if (<=.f64 x -8563486156235759/178405961588244985132285746181186892047843328) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -8563486156235759/178405961588244985132285746181186892047843328) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -6850788924988607/45671926166590716193865151022383844364247891968) (*.f64 x (neg.f64 y)) (log.f64 2))
(if (<=.f64 x -6850788924988607/45671926166590716193865151022383844364247891968) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
Compiler

Compiled 108 to 77 computations (28.7% saved)

soundness507.0ms (5.2%)

Rules
1126×fma-neg
1126×fma-neg
702×distribute-lft-in
702×distribute-lft-in
574×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
05029874
110929698
228979545
05029874
110929698
228979545
030234
173226
2129210
3282210
4434210
5622210
6763210
7877210
8905210
9907210
Stop Event
saturated
node limit
node limit
saturated
Compiler

Compiled 170 to 106 computations (37.6% saved)

end0.0ms (0%)

preprocess93.0ms (0.9%)

Compiler

Compiled 266 to 156 computations (41.4% saved)

Profiling

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