sqrtexp (problem 3.4.4)

Time bar (total: 6.7s)

analyze168.0ms (2.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
56.3%56.2%43.7%0%0%0%0%6
56.3%56.2%43.7%0%0%0%0%7
56.3%56.2%43.7%0%0%0%0%8
57%57%42.9%0%0%0%0%9
57%57%42.9%0%0%0%0%10
57.1%57.1%42.9%0%0%0%0%11
57.2%57.1%42.8%0%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.5s (37.3%)

Results
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
2.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
2.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256infinite
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256infinite
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256infinite
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
40.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms2048valid
0.0ms256valid
71.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
1.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
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0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
Bogosity

preprocess531.0ms (8%)

Algorithm
egg-herbie
Rules
1436×times-frac
1340×fma-neg
772×associate-/l*
694×unswap-sqr
588×div-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1620-0-(-.f64 (exp.f64 x) 1)
1611(-0.0005368805180469441)0-(-.f64 (exp.f64 (*.f64 2 x)) 1)
40-0-(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
00-0-x
00-0-(exp.f64 x)
00-0-(*.f64 2 x)
01(210.12080858647155)0-(exp.f64 (*.f64 2 x))
00-0-(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
00-0-2
00-0-1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024144
156136
288136
3172136
438796
5126080
6617980
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1))))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (*.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (*.f64 1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x))))
(hypot.f64 1 (pow.f64 (exp.f64 x) -1/2))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1))))
(neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x)))))
(neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x)))))
(neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x)))))
(neg.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1/2)))
Compiler

Compiled 107 to 79 computations (26.2% saved)

eval1.0ms (0%)

Compiler

Compiled 21 to 16 computations (23.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 15 to 12 computations (20% saved)

localize214.0ms (3.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
98.7%
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
100.0%
(+.f64 1 (exp.f64 x))
Compiler

Compiled 41 to 25 computations (39% saved)

series51.0ms (0.8%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
42.0ms
x
@-inf
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
1.0ms
x
@inf
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
1.0ms
x
@-inf
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
1.0ms
x
@0
(sqrt.f64 (+.f64 1 (exp.f64 x)))
1.0ms
x
@inf
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))

rewrite355.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
1520×unpow-prod-down
766×log-prod
732×log1p-expm1-u
730×expm1-log1p-u
404×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01664
120064
2248964
Stop Event
node limit
Counts
4 → 409
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 x))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 2) x) (-.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(*.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2) 2))
(*.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 x))) 2))
(*.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 2))
(*.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) 3))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (*.f64 (/.f64 1 (expm1.f64 x)) (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/2))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (*.f64 x 2)))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (/.f64 1 (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
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(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 1))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2) 1))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2) (sqrt.f64 (expm1.f64 (*.f64 x 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1/2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1/2) (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1/2) (pow.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) 1/2) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1/2))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) 1/2) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1/2) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 1/2) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) 1/2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) 1/2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) 1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) x))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x))) 2))

simplify258.0ms (3.9%)

Algorithm
egg-herbie
Rules
984×associate-*l*
974×associate-*r*
642×unswap-sqr
626×exp-prod
580×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056714645
1137814092
2565013828
Stop Event
node limit
Counts
441 → 314
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 2) x) (-.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(*.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2) 2))
(*.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 x))) 2))
(*.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 2))
(*.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) 3))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (*.f64 (/.f64 1 (expm1.f64 x)) (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/2))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (*.f64 x 2)))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (/.f64 1 (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1))
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(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 2) x))) -1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (*.f64 (/.f64 1 (expm1.f64 x)) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/3))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 1))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2) 1))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2) (sqrt.f64 (expm1.f64 (*.f64 x 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1/2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1/2) (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1/2) (pow.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) 1/2) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1/2))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) 1/2) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1/2) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 1/2) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) 1/2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) 1/2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) 1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) x))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 (pow.f64 x 3) (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 (pow.f64 x 3) (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))))))
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(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 1/2) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -1/2) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) 1/2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) 2)) (sqrt.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) (expm1.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) (expm1.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) 1/2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) 2) (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) 1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))) 1/2))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5/2)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))
(*.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4)))
(*.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (*.f64 2 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (*.f64 2 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) x))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 1 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) -1)
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1)
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 (*.f64 2 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (exp.f64 x))) 1/3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval115.0ms (1.7%)

Compiler

Compiled 4883 to 3553 computations (27.2% saved)

prune41.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3104314
Fresh000
Picked112
Done000
Total3115316
Accuracy
100.0%
Counts
316 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
63.4%
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
63.0%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
69.6%
(sqrt.f64 2)
Compiler

Compiled 34 to 30 computations (11.8% saved)

localize228.0ms (3.4%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (+.f64 1 (exp.f64 x)))
100.0%
(+.f64 1 (exp.f64 x))
99.0%
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
100.0%
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
99.6%
(/.f64 (*.f64 1/2 x) (sqrt.f64 2))
100.0%
(sqrt.f64 (+.f64 2 x))
Compiler

Compiled 67 to 50 computations (25.4% saved)

series13.0ms (0.2%)

Counts
5 → 44
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (*.f64 1/2 x) (sqrt.f64 2))
1.0ms
x
@inf
(/.f64 (*.f64 1/2 x) (sqrt.f64 2))
1.0ms
x
@-inf
(/.f64 1 (+.f64 1 (exp.f64 x)))
1.0ms
x
@0
(sqrt.f64 (+.f64 2 x))
1.0ms
x
@inf
(/.f64 1 (+.f64 1 (exp.f64 x)))

rewrite144.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1538×prod-diff
984×log1p-expm1-u
438×expm1-log1p-u
174×associate-*r*
129×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020114
130298
2424498
Stop Event
node limit
Counts
5 → 165
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 1/2 x) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))))) 1)
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 x (*.f64 1/2 (pow.f64 2 -1/2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 (*.f64 x 1/2) (pow.f64 2 -1/2))
(*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 1)
(*.f64 1 (*.f64 x (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)) (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (*.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (*.f64 x 1/2)) (pow.f64 2 -1/2)))
(*.f64 (*.f64 x -1/2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 x 1/2))
(*.f64 (/.f64 x (sqrt.f64 2)) 1/2)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 x 1/2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 x 1/2) (pow.f64 2 1/4)))
(*.f64 (/.f64 x (pow.f64 2 1/4)) (/.f64 1/2 (pow.f64 2 1/4)))
(*.f64 (/.f64 x 1) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (/.f64 x (cbrt.f64 2)) (/.f64 1/2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1/2 (pow.f64 2 1/4)) (/.f64 x (pow.f64 2 1/4)))
(*.f64 (/.f64 1/2 (cbrt.f64 2)) (/.f64 x (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) 1) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 2)) (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) 1) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 x 1/2)) -1)
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 (sqrt.f64 2))))
(neg.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 2)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 2 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))) 1)
(-.f64 (/.f64 2 (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))) (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2) (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))))
(*.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (sqrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(*.f64 (+.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3)) (/.f64 1 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))))
(*.f64 (-.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)) (/.f64 1 (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))))
(/.f64 1 (/.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))) (+.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (-.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2))))
(/.f64 (+.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3)) (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2) (-.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))))
(/.f64 (-.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)) (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3))) (neg.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))))
(/.f64 (neg.f64 (-.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2))) (neg.f64 (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))))
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2) 2) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))
(pow.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 1))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 (*.f64 x 1/2) (pow.f64 2 -1/2) (sqrt.f64 2))
(fma.f64 1 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))
(fma.f64 1 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)) (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 -1 (/.f64 1 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(neg.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) -1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) -1))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) -1)
(neg.f64 (/.f64 -1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))

simplify130.0ms (2%)

Algorithm
egg-herbie
Rules
610×cancel-sign-sub-inv
562×log-prod
546×distribute-lft-neg-in
540×distribute-rgt-neg-in
484×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04116165
110065945
233605905
Stop Event
node limit
Counts
209 → 246
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))))) 1)
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 x (*.f64 1/2 (pow.f64 2 -1/2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 (*.f64 x 1/2) (pow.f64 2 -1/2))
(*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 1)
(*.f64 1 (*.f64 x (/.f64 1/2 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)) (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (*.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (*.f64 x 1/2)) (pow.f64 2 -1/2)))
(*.f64 (*.f64 x -1/2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 x 1/2))
(*.f64 (/.f64 x (sqrt.f64 2)) 1/2)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 x 1/2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 x 1/2) (pow.f64 2 1/4)))
(*.f64 (/.f64 x (pow.f64 2 1/4)) (/.f64 1/2 (pow.f64 2 1/4)))
(*.f64 (/.f64 x 1) (/.f64 1/2 (sqrt.f64 2)))
(*.f64 (/.f64 x (cbrt.f64 2)) (/.f64 1/2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1/2 (pow.f64 2 1/4)) (/.f64 x (pow.f64 2 1/4)))
(*.f64 (/.f64 1/2 (cbrt.f64 2)) (/.f64 x (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) 1) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 2)) (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) 1) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 x 1/2)) -1)
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 (sqrt.f64 2))))
(neg.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 2)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 2 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))) 1)
(-.f64 (/.f64 2 (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))) (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2) (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))))
(*.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (sqrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(*.f64 (+.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3)) (/.f64 1 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))))
(*.f64 (-.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)) (/.f64 1 (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))))
(/.f64 1 (/.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))) (+.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (-.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2))))
(/.f64 (+.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3)) (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2) (-.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))))
(/.f64 (-.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)) (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) 3))) (neg.f64 (+.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))))))
(/.f64 (neg.f64 (-.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2))) (neg.f64 (-.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))))
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2) 2) (-.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2)))
(pow.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) 1))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 (*.f64 x 1/2) (pow.f64 2 -1/2) (sqrt.f64 2))
(fma.f64 1 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))
(fma.f64 1 (*.f64 x (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)) (cbrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (*.f64 x (/.f64 1/2 (sqrt.f64 2))))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 -1 (/.f64 1 (/.f64 -1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) -1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 2)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(neg.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) -1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) -1))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) -1)
(neg.f64 (/.f64 -1 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (+.f64 (sqrt.f64 2) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 x (/.f64 1/2 (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 x (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
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1/2
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(/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) -1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)) (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2) 1/2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3) 1/3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) -1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(neg.f64 (/.f64 -1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 3))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(/.f64 1 (+.f64 1 (exp.f64 x)))

eval165.0ms (2.5%)

Compiler

Compiled 6934 to 5635 computations (18.7% saved)

prune65.0ms (1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4143417
Fresh000
Picked134
Done011
Total4157422
Accuracy
100.0%
Counts
422 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
64.7%
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
68.6%
(/.f64 1 (sqrt.f64 1/2))
63.4%
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
63.0%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
69.6%
(sqrt.f64 2)
Compiler

Compiled 47 to 42 computations (10.6% saved)

localize108.0ms (1.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
100.0%
(/.f64 1 (+.f64 1 (exp.f64 x)))
100.0%
(+.f64 1 (exp.f64 x))
98.9%
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
98.5%
(/.f64 1 (sqrt.f64 1/2))
Compiler

Compiled 59 to 46 computations (22% saved)

series61.0ms (0.9%)

Counts
3 → 16
Calls

6 calls:

TimeVariablePointExpression
31.0ms
x
@inf
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
25.0ms
x
@-inf
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
2.0ms
x
@0
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
1.0ms
x
@0
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
1.0ms
x
@-inf
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))

rewrite118.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1157×log1p-expm1-u
1157×expm1-log1p-u
396×prod-diff
140×associate-*r*
114×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02063
127341
2344541
Stop Event
node limit
Counts
3 → 72
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 1/2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 1/2)) -1))
(*.f64 (pow.f64 (pow.f64 1/2 1/4) -1) (pow.f64 (pow.f64 1/2 1/4) -1))
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (*.f64 (sqrt.f64 2) 2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 1/2)))
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (sqrt.f64 2) 2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) -1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) -1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1/2) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 -1/2 (neg.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 -1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1))

simplify82.0ms (1.2%)

Algorithm
egg-herbie
Rules
1360×fma-define
1056×times-frac
816×unswap-sqr
754×log-prod
494×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02132069
14801979
216561833
363091712
Stop Event
node limit
Counts
88 → 110
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/4 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 7/384 (*.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 1/2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 1/2)) -1))
(*.f64 (pow.f64 (pow.f64 1/2 1/4) -1) (pow.f64 (pow.f64 1/2 1/4) -1))
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (*.f64 (sqrt.f64 2) 2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 1/2)))
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (sqrt.f64 2) 2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) -1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) -1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1/2) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 -1/2 (neg.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 -1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 (pow.f64 x 2) 3/8))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/4 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 (pow.f64 x 3) (/.f64 (+.f64 1/4 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 5/32 (sqrt.f64 2)))))))
(+.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 (pow.f64 x 2) 3/8))) (fma.f64 (pow.f64 x 3) (/.f64 5/64 (sqrt.f64 2)) (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4)))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 2) 3/32))))
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 7/384 (*.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 7/384 (*.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x)))))
(+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 x 3) 7/384) (*.f64 (pow.f64 x 2) 3/32))) (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4))))
(*.f64 (sqrt.f64 2) (+.f64 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4)) (fma.f64 (pow.f64 x 3) 7/384 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 1/2))))
(/.f64 1 (sqrt.f64 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (pow.f64 (cbrt.f64 1/2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 1/2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 1/2)) (/.f64 1 (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (/.f64 1 (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 1/2 1/4) -1) (pow.f64 (pow.f64 1/2 1/4) -1))
(pow.f64 (pow.f64 1/2 1/4) -2)
(pow.f64 1/2 -1/2)
(pow.f64 (sqrt.f64 1/2) -1)
(/.f64 1 (sqrt.f64 1/2))
(pow.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(sqrt.f64 2)
(pow.f64 (*.f64 (sqrt.f64 2) 2) 1/3)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(sqrt.f64 2)
(neg.f64 (/.f64 -1 (sqrt.f64 1/2)))
(/.f64 1 (sqrt.f64 1/2))
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(cbrt.f64 (*.f64 (sqrt.f64 2) 2))
(sqrt.f64 2)
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (log.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) -1))
(/.f64 1 (sqrt.f64 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(sqrt.f64 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(/.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(/.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 1 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)))))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -1))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 1/4) -2)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)
(/.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3) 1/3)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) 2)
(/.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/4 1/2))) -1))
(/.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) -1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) -1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1/2) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 3) x))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 -1/2 (neg.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval124.0ms (1.9%)

Compiler

Compiled 5101 to 3998 computations (21.6% saved)

prune46.0ms (0.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New3273330
Fresh000
Picked123
Done134
Total3298337
Accuracy
100.0%
Counts
337 → 8
Alt Table
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StatusAccuracyProgram
100.0%
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
65.7%
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
68.6%
(/.f64 1 (sqrt.f64 1/2))
64.8%
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4))))
63.4%
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4)))
63.0%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
69.6%
(sqrt.f64 2)
Compiler

Compiled 58 to 51 computations (12.1% saved)

localize150.0ms (2.3%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
100.0%
(+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4)))
99.9%
(*.f64 x (+.f64 (*.f64 x 3/32) 1/4))
99.9%
(+.f64 (*.f64 x 3/32) 1/4)
99.8%
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4))))
99.7%
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4)))
Compiler

Compiled 86 to 69 computations (19.8% saved)

series16.0ms (0.2%)

Counts
6 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 x (+.f64 (*.f64 x 3/32) 1/4))
1.0ms
x
@inf
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
1.0ms
x
@-inf
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
1.0ms
x
@inf
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4)))
1.0ms
x
@0
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4)))

rewrite157.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
993×log1p-expm1-u
835×expm1-log1p-u
296×associate-*r*
204×associate-*l*
149×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025145
1342129
24961129
Stop Event
node limit
Counts
6 → 165
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4)))
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4))))
(+.f64 (*.f64 x 3/32) 1/4)
(*.f64 x (+.f64 (*.f64 x 3/32) 1/4))
(+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4)))
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
Outputs
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(+.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) 1))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)))) 1)
(/.f64 (+.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) 3)) (+.f64 2 (-.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) (*.f64 (sqrt.f64 2) (*.f64 x 1/4))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))))
(/.f64 (-.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))) (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/64 (pow.f64 x 3)))) (+.f64 1 (*.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/4) 1))))
(/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 (pow.f64 x 2) 1/16))) (fma.f64 x 1/4 1))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/64 (pow.f64 x 3))) (sqrt.f64 2)) (+.f64 1 (*.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/4) 1))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/16)) (sqrt.f64 2)) (fma.f64 x 1/4 1))
(pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))) 2)
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 x 1/4 1) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 x 1/4 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)) 3))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 x 1/4 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/4 1) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))) 1))
(fma.f64 (sqrt.f64 2) 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(fma.f64 1 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))
(+.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))) 1))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1)))) 1)
(/.f64 (+.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))) 3)) (+.f64 2 (-.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4)))))))
(/.f64 (-.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))) (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4)))))
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3))) (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1))))
(/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2))) (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3)) (sqrt.f64 2)) (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2)) (sqrt.f64 2)) (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4))))
(pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))) 2)
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 3))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))) 1))
(fma.f64 (sqrt.f64 2) 1 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))
(fma.f64 1 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3/32 1/4))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 9/1024) (fma.f64 x 3/32 -1/4)) (/.f64 1/16 (fma.f64 x 3/32 -1/4)))
(*.f64 1 (fma.f64 x 3/32 1/4))
(*.f64 (fma.f64 x 3/32 1/4) 1)
(*.f64 (cbrt.f64 (fma.f64 x 3/32 1/4)) (pow.f64 (cbrt.f64 (fma.f64 x 3/32 1/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/32 1/4)) 2) (cbrt.f64 (fma.f64 x 3/32 1/4)))
(*.f64 (sqrt.f64 (fma.f64 x 3/32 1/4)) (sqrt.f64 (fma.f64 x 3/32 1/4)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16) (/.f64 1 (fma.f64 x 3/32 -1/4)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128))) (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64)))
(/.f64 1 (/.f64 (fma.f64 x 3/32 -1/4) (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64) (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64) (+.f64 1/16 (-.f64 (*.f64 (pow.f64 x 2) 9/1024) (*.f64 x 3/128))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16) (fma.f64 x 3/32 -1/4))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16)) (neg.f64 (fma.f64 x 3/32 -1/4)))
(/.f64 (-.f64 1/16 (*.f64 (pow.f64 x 2) 9/1024)) (-.f64 1/4 (*.f64 x 3/32)))
(pow.f64 (fma.f64 x 3/32 1/4) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 3/32 1/4)) 3)
(pow.f64 (pow.f64 (fma.f64 x 3/32 1/4) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 3/32 1/4)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 3/32 1/4) 2))
(log.f64 (exp.f64 (fma.f64 x 3/32 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3/32 1/4))))
(cbrt.f64 (pow.f64 (fma.f64 x 3/32 1/4) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 3/32 1/4)))
(log1p.f64 (expm1.f64 (fma.f64 x 3/32 1/4)))
(exp.f64 (log.f64 (fma.f64 x 3/32 1/4)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3/32 1/4)) 1))
(fma.f64 1 (*.f64 x 3/32) 1/4)
(fma.f64 x 3/32 1/4)
(fma.f64 3/32 x 1/4)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/32)) 2) (cbrt.f64 (*.f64 x 3/32)) 1/4)
(fma.f64 (sqrt.f64 (*.f64 x 3/32)) (sqrt.f64 (*.f64 x 3/32)) 1/4)
(+.f64 (*.f64 x 1/4) (*.f64 3/32 (pow.f64 x 2)))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 x 1/4))
(+.f64 (*.f64 (*.f64 3/32 (pow.f64 x 2)) 1) (*.f64 x 1/4))
(-.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 3/32 (pow.f64 x 2)) 3) (*.f64 1/64 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 3/32 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 x 1/4)))))
(/.f64 (-.f64 (*.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 3/32 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/16)) (-.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 x 1/4)))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64)) (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16)) (fma.f64 x 3/32 -1/4))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64) x) (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16) x) (fma.f64 x 3/32 -1/4))
(pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 3/32 1/4)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 3/32 1/4)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/32 1/4))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 3/32 1/4))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 3/32 1/4))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1))
(fma.f64 x (*.f64 x 3/32) (*.f64 x 1/4))
(fma.f64 (*.f64 x 3/32) x (*.f64 x 1/4))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)))))
(*.f64 1 (fma.f64 x (fma.f64 x 3/32 1/4) 1))
(*.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2)) (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1))) (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4))) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3)) (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2)) (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3))) (neg.f64 (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2))) (neg.f64 (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2) 1) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1))
(pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/32 1/4))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1))
(fma.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)) 1)
(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(fma.f64 (fma.f64 x 3/32 1/4) x 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1)
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) (sqrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1))

simplify123.0ms (1.8%)

Algorithm
egg-herbie
Rules
1212×cancel-sign-sub-inv
1116×times-frac
928×fma-neg
642×log-prod
614×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04329305
111117707
239157537
Stop Event
node limit
Counts
237 → 288
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 1/4 (*.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 1/4 (*.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2)))
(+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2)))
(+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
1/4
(+.f64 1/4 (*.f64 3/32 x))
(+.f64 1/4 (*.f64 3/32 x))
(+.f64 1/4 (*.f64 3/32 x))
(*.f64 3/32 x)
(+.f64 1/4 (*.f64 3/32 x))
(+.f64 1/4 (*.f64 3/32 x))
(+.f64 1/4 (*.f64 3/32 x))
(*.f64 3/32 x)
(+.f64 1/4 (*.f64 3/32 x))
(+.f64 1/4 (*.f64 3/32 x))
(+.f64 1/4 (*.f64 3/32 x))
(*.f64 1/4 x)
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(*.f64 3/32 (pow.f64 x 2))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(*.f64 3/32 (pow.f64 x 2))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
1
(+.f64 1 (*.f64 1/4 x))
(+.f64 1 (+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x)))
(+.f64 1 (+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x)))
(*.f64 3/32 (pow.f64 x 2))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(+.f64 1 (+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x)))
(+.f64 1 (+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x)))
(*.f64 3/32 (pow.f64 x 2))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(+.f64 1 (+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x)))
(+.f64 1 (+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 5/128 (*.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) x))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) x)))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 5/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) x))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 5/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(+.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) 1))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)))) 1)
(/.f64 (+.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) 3)) (+.f64 2 (-.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) (*.f64 (sqrt.f64 2) (*.f64 x 1/4))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))))
(/.f64 (-.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))) (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/64 (pow.f64 x 3)))) (+.f64 1 (*.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/4) 1))))
(/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 (pow.f64 x 2) 1/16))) (fma.f64 x 1/4 1))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/64 (pow.f64 x 3))) (sqrt.f64 2)) (+.f64 1 (*.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/4) 1))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/16)) (sqrt.f64 2)) (fma.f64 x 1/4 1))
(pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))) 2)
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 x 1/4 1) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 x 1/4 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)) 3))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 x 1/4 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/4 1) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))) 1))
(fma.f64 (sqrt.f64 2) 1 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(fma.f64 1 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))
(+.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))) 1))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1)))) 1)
(/.f64 (+.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))) 3)) (+.f64 2 (-.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4)))))))
(/.f64 (-.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))) (-.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4)))))
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3))) (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1))))
(/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2))) (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3)) (sqrt.f64 2)) (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2)) (sqrt.f64 2)) (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4))))
(pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))) 2)
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 3))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))) 1))
(fma.f64 (sqrt.f64 2) 1 (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))
(fma.f64 1 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) (*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3/32 1/4))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 9/1024) (fma.f64 x 3/32 -1/4)) (/.f64 1/16 (fma.f64 x 3/32 -1/4)))
(*.f64 1 (fma.f64 x 3/32 1/4))
(*.f64 (fma.f64 x 3/32 1/4) 1)
(*.f64 (cbrt.f64 (fma.f64 x 3/32 1/4)) (pow.f64 (cbrt.f64 (fma.f64 x 3/32 1/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/32 1/4)) 2) (cbrt.f64 (fma.f64 x 3/32 1/4)))
(*.f64 (sqrt.f64 (fma.f64 x 3/32 1/4)) (sqrt.f64 (fma.f64 x 3/32 1/4)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16) (/.f64 1 (fma.f64 x 3/32 -1/4)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128))) (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64)))
(/.f64 1 (/.f64 (fma.f64 x 3/32 -1/4) (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64) (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64) (+.f64 1/16 (-.f64 (*.f64 (pow.f64 x 2) 9/1024) (*.f64 x 3/128))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16) (fma.f64 x 3/32 -1/4))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16)) (neg.f64 (fma.f64 x 3/32 -1/4)))
(/.f64 (-.f64 1/16 (*.f64 (pow.f64 x 2) 9/1024)) (-.f64 1/4 (*.f64 x 3/32)))
(pow.f64 (fma.f64 x 3/32 1/4) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 3/32 1/4)) 3)
(pow.f64 (pow.f64 (fma.f64 x 3/32 1/4) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 3/32 1/4)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 3/32 1/4) 2))
(log.f64 (exp.f64 (fma.f64 x 3/32 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3/32 1/4))))
(cbrt.f64 (pow.f64 (fma.f64 x 3/32 1/4) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 3/32 1/4)))
(log1p.f64 (expm1.f64 (fma.f64 x 3/32 1/4)))
(exp.f64 (log.f64 (fma.f64 x 3/32 1/4)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3/32 1/4)) 1))
(fma.f64 1 (*.f64 x 3/32) 1/4)
(fma.f64 x 3/32 1/4)
(fma.f64 3/32 x 1/4)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/32)) 2) (cbrt.f64 (*.f64 x 3/32)) 1/4)
(fma.f64 (sqrt.f64 (*.f64 x 3/32)) (sqrt.f64 (*.f64 x 3/32)) 1/4)
(+.f64 (*.f64 x 1/4) (*.f64 3/32 (pow.f64 x 2)))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 x 1/4))
(+.f64 (*.f64 (*.f64 3/32 (pow.f64 x 2)) 1) (*.f64 x 1/4))
(-.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 3/32 (pow.f64 x 2)) 3) (*.f64 1/64 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 3/32 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 x 1/4)))))
(/.f64 (-.f64 (*.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 3/32 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/16)) (-.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 x 1/4)))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64)) (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16)) (fma.f64 x 3/32 -1/4))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 27/32768) 1/64) x) (+.f64 (*.f64 (pow.f64 x 2) 9/1024) (-.f64 1/16 (*.f64 x 3/128))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 9/1024) -1/16) x) (fma.f64 x 3/32 -1/4))
(pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 3/32 1/4)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 3/32 1/4)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/32 1/4))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 3/32 1/4))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 3/32 1/4))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1))
(fma.f64 x (*.f64 x 3/32) (*.f64 x 1/4))
(fma.f64 (*.f64 x 3/32) x (*.f64 x 1/4))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)))))
(*.f64 1 (fma.f64 x (fma.f64 x 3/32 1/4) 1))
(*.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2)) (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1))) (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4))) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3)) (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2)) (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 3))) (neg.f64 (+.f64 1 (*.f64 (*.f64 x (fma.f64 x 3/32 1/4)) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2))) (neg.f64 (-.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 2) 1) (-.f64 (*.f64 x (fma.f64 x 3/32 1/4)) 1))
(pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/32 1/4))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1))
(fma.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)) 1)
(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(fma.f64 (fma.f64 x 3/32 1/4) x 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1)
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) (sqrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(*.f64 1/4 (*.f64 x (sqrt.f64 2)))
(*.f64 1/4 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (*.f64 1/4 x))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(*.f64 1/4 (*.f64 x (sqrt.f64 2)))
(*.f64 1/4 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (*.f64 1/4 x))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))
(*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2)))
(*.f64 (*.f64 3/32 (pow.f64 x 2)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (*.f64 3/32 (pow.f64 x 2)))
(+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4)))
(*.f64 (fma.f64 x 3/32 1/4) (*.f64 (sqrt.f64 2) x))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))
(*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2)))
(*.f64 (*.f64 3/32 (pow.f64 x 2)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (*.f64 3/32 (pow.f64 x 2)))
(+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(fma.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) (*.f64 x (fma.f64 x 3/32 1/4)))
(*.f64 (fma.f64 x 3/32 1/4) (*.f64 (sqrt.f64 2) x))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 3/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(*.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 x 3/32 1/4) 1))
1/4
(+.f64 1/4 (*.f64 3/32 x))
(fma.f64 x 3/32 1/4)
(+.f64 1/4 (*.f64 3/32 x))
(fma.f64 x 3/32 1/4)
(+.f64 1/4 (*.f64 3/32 x))
(fma.f64 x 3/32 1/4)
(*.f64 3/32 x)
(*.f64 x 3/32)
(+.f64 1/4 (*.f64 3/32 x))
(fma.f64 x 3/32 1/4)
(+.f64 1/4 (*.f64 3/32 x))
(fma.f64 x 3/32 1/4)
(+.f64 1/4 (*.f64 3/32 x))
(fma.f64 x 3/32 1/4)
(*.f64 3/32 x)
(*.f64 x 3/32)
(+.f64 1/4 (*.f64 3/32 x))
(fma.f64 x 3/32 1/4)
(+.f64 1/4 (*.f64 3/32 x))
(fma.f64 x 3/32 1/4)
(+.f64 1/4 (*.f64 3/32 x))
(fma.f64 x 3/32 1/4)
(*.f64 1/4 x)
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 3/32 1/4))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 3/32 1/4))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 3/32 1/4))
(*.f64 3/32 (pow.f64 x 2))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 3/32 1/4))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 3/32 1/4))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 3/32 1/4))
(*.f64 3/32 (pow.f64 x 2))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 3/32 1/4))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 3/32 1/4))
(+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x))
(fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 3/32 1/4))
1
(+.f64 1 (*.f64 1/4 x))
(fma.f64 x 1/4 1)
(fma.f64 1/4 x 1)
(+.f64 1 (+.f64 (*.f64 3/32 (pow.f64 x 2)) (*.f64 1/4 x)))
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(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 3/32 1/4) 1)))
(+.f64 (fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2))) 1)
(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/32 1/4))))
(+.f64 (fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2))) 1)
(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1))
(+.f64 (fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2))) 1)
(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(fma.f64 1 (*.f64 x (fma.f64 x 3/32 1/4)) 1)
(+.f64 (fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2))) 1)
(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(+.f64 (fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2))) 1)
(fma.f64 (fma.f64 x 3/32 1/4) x 1)
(+.f64 (fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2))) 1)
(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1)
(+.f64 (fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2))) 1)
(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) (sqrt.f64 (*.f64 x (fma.f64 x 3/32 1/4))) 1)
(+.f64 (fma.f64 x 1/4 (*.f64 3/32 (pow.f64 x 2))) 1)
(fma.f64 x (fma.f64 x 3/32 1/4) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2))))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1/2))
(pow.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) -1)
(/.f64 1 (sqrt.f64 (fma.f64 x -1/4 1/2)))
(sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 3))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)

eval125.0ms (1.9%)

Compiler

Compiled 5296 to 4480 computations (15.4% saved)

prune42.0ms (0.6%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2862288
Fresh000
Picked033
Done055
Total28610296
Accuracy
100.0%
Counts
296 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
65.7%
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
68.6%
(/.f64 1 (sqrt.f64 1/2))
64.8%
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4))))
64.0%
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (*.f64 x 3/32))))
63.4%
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4)))
3.1%
(*.f64 (sqrt.f64 2) (*.f64 1/4 x))
63.0%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
69.6%
(sqrt.f64 2)
Compiler

Compiled 189 to 159 computations (15.9% saved)

regimes15.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 2) (*.f64 1/4 x))
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4)))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (*.f64 x 3/32))))
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
Calls

3 calls:

9.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
100.0%1(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes7.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 2) (*.f64 1/4 x))
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4)))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (*.f64 x 3/32))))
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Accuracy

Total -42.8b remaining (-219.9%)

Threshold costs -42.8b (-219.9%)

Counts
9 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 2) (*.f64 1/4 x))
(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x 1/4)))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (*.f64 x 3/32))))
(*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/32) 1/4))))
Outputs
(sqrt.f64 2)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
69.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01549
12149
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Outputs
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Compiler

Compiled 18 to 16 computations (11.1% saved)

soundness480.0ms (7.2%)

Rules
1538×prod-diff
1520×unpow-prod-down
1436×times-frac
1340×fma-neg
984×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024144
156136
288136
3172136
438796
5126080
6617980
01664
120064
2248964
020114
130298
2424498
Stop Event
node limit
node limit
node limit
Compiler

Compiled 343 to 237 computations (30.9% saved)

end0.0ms (0%)

preprocess32.0ms (0.5%)

Compiler

Compiled 58 to 48 computations (17.2% saved)

Profiling

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