sqrtexp (problem 3.4.4)

Time bar (total: 7.0s)

analyze161.0ms (2.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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)

sample2.6s (36.8%)

Results
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
2.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
1.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
2.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
40.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256infinite
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms2048valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256infinite
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256infinite
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms2048valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
39.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
2.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
95.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
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0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256infinite
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256infinite
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
Bogosity

preprocess643.0ms (9.1%)

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
1840-0-(-.f64 (exp.f64 (*.f64 2 x)) 1)
1840-0-(-.f64 (exp.f64 x) 1)
10-0-(/.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)
00-0-(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
99.6%
(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)

localize209.0ms (3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
99.7%
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
100.0%
(+.f64 1 (exp.f64 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 41 to 25 computations (39% saved)

series10.0ms (0.1%)

Counts
4 → 32
Calls

12 calls:

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

rewrite475.0ms (6.7%)

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
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.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 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))
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(*.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))

simplify361.0ms (5.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
056714645
1137814092
2565113828
Stop Event
node limit
Counts
441 → 309
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 1/6 (*.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)))))
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 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))
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(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
(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 (-.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) (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)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (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 x (+.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6)) 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 x (+.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6)) 2))
(/.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))))
(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) (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)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
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(*.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 1 (/.f64 (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 1 (/.f64 (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 1 (/.f64 (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)))

eval228.0ms (3.2%)

Compiler

Compiled 4810 to 3500 computations (27.2% saved)

prune39.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3054309
Fresh000
Picked112
Done000
Total3065311
Accuracy
100.0%
Counts
311 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
98.9%
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
71.7%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
76.8%
(sqrt.f64 2)
Compiler

Compiled 30 to 26 computations (13.3% saved)

localize154.0ms (2.2%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
100.0%
(sqrt.f64 (exp.f64 x))
100.0%
(+.f64 1 (exp.f64 x))
100.0%
(/.f64 1 (+.f64 1 (exp.f64 x)))
98.9%
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
100.0%
(sqrt.f64 (+.f64 2 x))
Compiler

Compiled 56 to 35 computations (37.5% saved)

series16.0ms (0.2%)

Counts
5 → 36
Calls

15 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/.f64 1 (+.f64 1 (exp.f64 x)))
1.0ms
x
@0
(/.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)))
1.0ms
x
@0
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))

rewrite122.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
920×log1p-expm1-u
920×expm1-log1p-u
880×log-prod
468×fma-define
416×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017106
124682
2293682
Stop Event
node limit
Counts
5 → 157
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 x))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
Outputs
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.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 (fma.f64 x (-.f64 x 2) 4)))
(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 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 -1 (/.f64 1 (/.f64 -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 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (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 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (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 (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 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) -1))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(-.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))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.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))
(+.f64 0 (sqrt.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 x) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 x 1/2))
(exp.f64 (*.f64 (*.f64 1/2 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 -1 (/.f64 1 (/.f64 -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 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (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)))))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(/.f64 1 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (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 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(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 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (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 (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)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) -1))

simplify109.0ms (1.5%)

Algorithm
egg-herbie
Rules
1858×fma-define
718×associate-/r*
506×associate-*r/
410×sqr-pow
378×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03435263
17524908
223404633
Stop Event
node limit
Counts
193 → 202
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))))))
(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)))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(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)))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.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 (fma.f64 x (-.f64 x 2) 4)))
(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 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 -1 (/.f64 1 (/.f64 -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 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (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 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (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 (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 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) -1))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(-.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))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.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))
(+.f64 0 (sqrt.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 x) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 x 1/2))
(exp.f64 (*.f64 (*.f64 1/2 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 -1 (/.f64 1 (/.f64 -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 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (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)))))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(/.f64 1 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(/.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (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 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(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 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (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 (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)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(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 -1/8 (/.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 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 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 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 x (/.f64 1/2 (sqrt.f64 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 x 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))
(+.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))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (/.f64 x (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 (/.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 7/96 (sqrt.f64 2)))))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (fma.f64 (pow.f64 x 3) (/.f64 7/192 (sqrt.f64 2)) (sqrt.f64 2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (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)))
(hypot.f64 1 (sqrt.f64 (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)))
(hypot.f64 1 (sqrt.f64 (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)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (*.f64 x -1/4))
(fma.f64 x -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (fma.f64 -1/4 x (*.f64 (pow.f64 x 3) 1/48)))
(+.f64 1/2 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 x -1/4)))
(fma.f64 (pow.f64 x 3) 1/48 (fma.f64 x -1/4 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3)))))
(+.f64 1/2 (fma.f64 -1/4 x (fma.f64 -1/480 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/48))))
(+.f64 (fma.f64 x -1/4 1/2) (fma.f64 (pow.f64 x 3) 1/48 (*.f64 -1/480 (pow.f64 x 5))))
(+.f64 1/2 (fma.f64 (pow.f64 x 3) 1/48 (fma.f64 x -1/4 (*.f64 -1/480 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 1/2 x (fma.f64 (pow.f64 x 2) 1/8 1))
(+.f64 1 (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 (pow.f64 x 2) 1/8)) (fma.f64 1/2 x 1))
(fma.f64 (pow.f64 x 3) 1/48 (fma.f64 1/2 x (fma.f64 (pow.f64 x 2) 1/8 1)))
(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))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (/.f64 x (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 (/.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 7/96 (sqrt.f64 2)))))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (fma.f64 (pow.f64 x 3) (/.f64 7/192 (sqrt.f64 2)) (sqrt.f64 2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (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)))
(hypot.f64 1 (sqrt.f64 (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)))
(hypot.f64 1 (sqrt.f64 (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)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(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 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(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 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (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 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4)))
(pow.f64 (+.f64 2 x) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(sqrt.f64 (+.f64 2 x))
(+.f64 0 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(*.f64 3 (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 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 -1 (/.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (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 (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 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
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(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))))
(/.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) -1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(neg.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (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)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (exp.f64 x)))) -1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))

eval133.0ms (1.9%)

Compiler

Compiled 5900 to 4566 computations (22.6% saved)

prune54.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3664370
Fresh000
Picked224
Done011
Total3687375
Accuracy
100.0%
Counts
375 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(hypot.f64 1 (+.f64 1 (*.f64 1/2 x)))
100.0%
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
72.8%
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
75.7%
(/.f64 1 (sqrt.f64 1/2))
71.7%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
76.8%
(sqrt.f64 2)
Compiler

Compiled 43 to 38 computations (11.6% saved)

localize131.0ms (1.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(hypot.f64 1 (+.f64 1 (*.f64 1/2 x)))
100.0%
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
98.8%
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
98.4%
(/.f64 1 (sqrt.f64 1/2))
Compiler

Compiled 70 to 57 computations (18.6% saved)

series10.0ms (0.1%)

Counts
4 → 28
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(hypot.f64 1 (+.f64 1 (*.f64 1/2 x)))
1.0ms
x
@inf
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
1.0ms
x
@-inf
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
1.0ms
x
@0
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
1.0ms
x
@0
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))

rewrite127.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
810×log1p-expm1-u
810×expm1-log1p-u
752×prod-diff
708×fma-define
442×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02179
130659
2359259
Stop Event
node limit
Counts
4 → 88
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 1/2))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
(hypot.f64 1 (+.f64 1 (*.f64 1/2 x)))
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 2 (sqrt.f64 1/2)) 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 2 (sqrt.f64 1/2)))
(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 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(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)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (fma.f64 1/2 x 1)))) 1)
(*.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1)))
(*.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2) (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(*.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(pow.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) 1/2)
(pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2)
(sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(log.f64 (exp.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (fma.f64 1/2 x 1)))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(exp.f64 (log.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 1))

simplify97.0ms (1.4%)

Algorithm
egg-herbie
Rules
1892×fma-define
874×associate-/r*
614×associate-/l*
588×*-commutative
524×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02412880
15632658
222202406
379012406
Stop Event
node limit
Counts
116 → 150
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 1/2 (/.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 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 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 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))))))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (*.f64 -1/2 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (/.f64 1 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 2 (sqrt.f64 1/2)) 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 2 (sqrt.f64 1/2)))
(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 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(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)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (fma.f64 1/2 x 1)))) 1)
(*.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1)))
(*.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2) (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(*.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(pow.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) 1/2)
(pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2)
(sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(log.f64 (exp.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (fma.f64 1/2 x 1)))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(exp.f64 (log.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 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 (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 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 (pow.f64 x 3) (/.f64 5/64 (sqrt.f64 2)) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 (pow.f64 x 2) 3/8)))))
(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 1/6 (*.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 (*.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) (*.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 7/96 (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (fma.f64 (pow.f64 x 2) (/.f64 3/16 (sqrt.f64 2)) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 (pow.f64 x 3) 7/96)))))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 x) 1/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 x) 1/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 x) 1/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 x) 1/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 x) 1/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 x) 1/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 x) 1/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 1/2 x)) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(hypot.f64 1 (pow.f64 (exp.f64 x) 1/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(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 1/4 (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 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 1/4 (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 (sqrt.f64 2)) (+.f64 x (*.f64 (pow.f64 x 2) 1/8))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))))
(+.f64 (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (sqrt.f64 2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))))
(+.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 (pow.f64 x 2) 1/8))) (fma.f64 (pow.f64 x 3) (/.f64 -1/64 (sqrt.f64 2)) (sqrt.f64 2)))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(+.f64 1 (fma.f64 1/2 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 1/2 x 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 -2 (pow.f64 x 2))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(-.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x -1)
(fma.f64 x -1/2 -1)
(-.f64 (*.f64 -1/2 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (fma.f64 -1/2 x -1) (/.f64 1 x))
(-.f64 (fma.f64 x -1/2 -1) (/.f64 1 x))
(+.f64 (fma.f64 x -1/2 -1) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (/.f64 1 x)))
(-.f64 (fma.f64 -1/2 x (/.f64 2 (pow.f64 x 2))) (+.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 2 (pow.f64 x 2)) (-.f64 (fma.f64 x -1/2 -1) (/.f64 1 x)))
(+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (fma.f64 x -1/2 -1) (/.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 2))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) 0)
(*.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 (/.f64 1 (cbrt.f64 1/2)) 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 2 (sqrt.f64 1/2)) 1/3)
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(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 2 (sqrt.f64 1/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) 0)
(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)
(*.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 -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))))
(*.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 (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 (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)
(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)
(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)
(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)
(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)))
(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)))
(+.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 0)
(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 (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))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(*.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 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(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 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 2)
(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)))))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (fma.f64 1/2 x 1)))) 1)
(expm1.f64 (log1p.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(*.f64 1 (hypot.f64 1 (fma.f64 1/2 x 1)))
(hypot.f64 1 (fma.f64 1/2 x 1))
(*.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(hypot.f64 1 (fma.f64 1/2 x 1))
(*.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2))
(hypot.f64 1 (fma.f64 1/2 x 1))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2) (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(hypot.f64 1 (fma.f64 1/2 x 1))
(*.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(hypot.f64 1 (fma.f64 1/2 x 1))
(pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 1)
(hypot.f64 1 (fma.f64 1/2 x 1))
(pow.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) 1/2)
(hypot.f64 1 (fma.f64 1/2 x 1))
(pow.f64 (cbrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 3)
(hypot.f64 1 (fma.f64 1/2 x 1))
(pow.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3) 1/3)
(hypot.f64 1 (fma.f64 1/2 x 1))
(pow.f64 (sqrt.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 2)
(hypot.f64 1 (fma.f64 1/2 x 1))
(sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(hypot.f64 1 (fma.f64 1/2 x 1))
(log.f64 (exp.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(hypot.f64 1 (fma.f64 1/2 x 1))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (fma.f64 1/2 x 1)))))
(hypot.f64 1 (fma.f64 1/2 x 1))
(cbrt.f64 (pow.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 3))
(hypot.f64 1 (fma.f64 1/2 x 1))
(expm1.f64 (log1p.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(+.f64 (hypot.f64 1 (fma.f64 1/2 x 1)) 0)
(log1p.f64 (expm1.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(hypot.f64 1 (fma.f64 1/2 x 1))
(exp.f64 (log.f64 (hypot.f64 1 (fma.f64 1/2 x 1))))
(hypot.f64 1 (fma.f64 1/2 x 1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (fma.f64 1/2 x 1))) 1))
(hypot.f64 1 (fma.f64 1/2 x 1))

eval58.0ms (0.8%)

Compiler

Compiled 1745 to 1536 computations (12% saved)

prune29.0ms (0.4%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New1455150
Fresh000
Picked044
Done033
Total14512157
Accuracy
100.0%
Counts
157 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(hypot.f64 1 (+.f64 1 (*.f64 1/2 x)))
100.0%
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
72.8%
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
75.7%
(/.f64 1 (sqrt.f64 1/2))
2.7%
(-.f64 (*.f64 -1/2 x) 1)
2.7%
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
15.3%
(+.f64 1 (*.f64 1/2 x))
4.3%
(*.f64 x -1/2)
3.0%
(*.f64 1/2 x)
71.7%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
76.8%
(sqrt.f64 2)
Compiler

Compiled 103 to 86 computations (16.5% saved)

localize80.0ms (1.1%)

Localize:

Found 1 expressions with local error:

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

Compiled 59 to 42 computations (28.8% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite77.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1666×prod-diff
1026×unpow-prod-down
515×log1p-expm1-u
515×expm1-log1p-u
496×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
111021
2146021
Stop Event
node limit
Counts
1 → 68
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (/.f64 1 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/2 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 1/2 x (/.f64 1 x)))
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) 1)
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x))) 1))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (/.f64 1 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (pow.f64 (/.f64 1 (-.f64 (*.f64 1/2 x) (/.f64 1 x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 1/2 x (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 2) 3) (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/2 x (/.f64 1 x)) (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 2) (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 (*.f64 1/2 x) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 1/2 x) (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/2 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (/.f64 1 x) (*.f64 1/2 x)))
(pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 1/2 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (/.f64 1 x)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (sqrt.f64 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/2 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (/.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 x (/.f64 1 x))) 1) 1))
(fma.f64 1/2 x (/.f64 1 x))
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (*.f64 1/2 x) 1 (/.f64 1 x))
(fma.f64 1 (*.f64 1/2 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/2 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 1/2 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 1/2 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (/.f64 1 x))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))

simplify78.0ms (1.1%)

Algorithm
egg-herbie
Rules
876×associate-+l+
784×associate-+r+
636×fma-neg
538×log-prod
518×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01782810
14492590
211542424
339692114
Stop Event
node limit
Counts
71 → 85
Calls
Call 1
Inputs
(/.f64 1 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/2 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 1/2 x (/.f64 1 x)))
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) 1)
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x))) 1))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (/.f64 1 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (pow.f64 (/.f64 1 (-.f64 (*.f64 1/2 x) (/.f64 1 x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 1/2 x (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 2) 3) (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/2 x (/.f64 1 x)) (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 2) (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 (*.f64 1/2 x) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 1/2 x) (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/2 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (/.f64 1 x) (*.f64 1/2 x)))
(pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 1/2 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (/.f64 1 x)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (sqrt.f64 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/2 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (/.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 x (/.f64 1 x))) 1) 1))
(fma.f64 1/2 x (/.f64 1 x))
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (*.f64 1/2 x) 1 (/.f64 1 x))
(fma.f64 1 (*.f64 1/2 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/2 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 1/2 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 1/2 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (/.f64 1 x))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
Outputs
(/.f64 1 x)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (/.f64 1 x)))) 1)
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/2 x) (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 x 1/2) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (fma.f64 x 1/2 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 1 x)))
(*.f64 1 (fma.f64 1/2 x (/.f64 1 x)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) 1)
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) (log.f64 (exp.f64 1)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (*.f64 1/2 (/.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/4 -1/2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) -1/2))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x))) 1))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (*.f64 1/2 (/.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/4 -1/2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) -1/2))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 x 1/2) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (fma.f64 x 1/2 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 1 x)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (pow.f64 (/.f64 1 (-.f64 (*.f64 1/2 x) (/.f64 1 x))) 1))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 x 1/2) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (fma.f64 x 1/2 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (fma.f64 1/2 x (/.f64 1 x)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 2) 3) (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3)) 1/3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/2 x (/.f64 1 x)) (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/2 (/.f64 1 x)) (cbrt.f64 (fma.f64 x 1/2 (/.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (/.f64 1 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (/.f64 1 x))) 8)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 2) (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x 1/2 (/.f64 1 x))) (pow.f64 (fma.f64 x 1/2 (/.f64 1 x)) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/2 (/.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 (/.f64 1 x))) 5)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/2 (/.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (/.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/2 (/.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (*.f64 1/2 (/.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/4 -1/2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) -1/2))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 x 1/2) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (fma.f64 x 1/2 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (*.f64 1/2 (/.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/4 -1/2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) -1/2))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 (*.f64 1/2 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (*.f64 1/2 (/.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/4 -1/2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) -1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 1/2 x) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 x 1/2) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (fma.f64 x 1/2 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (*.f64 1/2 (/.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/4 -1/2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) -1/2))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/2 x) (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 x 1/2) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (fma.f64 x 1/2 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 1 x)))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (/.f64 1 x) (*.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 x 1/2) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (fma.f64 x 1/2 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 1 x)))
(pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 1)
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 3)
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 2) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3) 1/3)
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x))) 2)
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 1/2 x) x)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))) -1)
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) (*.f64 1/2 (/.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/4 -1/2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (+.f64 (fma.f64 (pow.f64 x 2) 1/4 (pow.f64 x -2)) -1/2))
(pow.f64 (/.f64 (-.f64 (*.f64 1/2 x) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2))) -1)
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 x 1/2) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 x -2)) (fma.f64 x 1/2 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 1 x)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(log.f64 (exp.f64 (fma.f64 1/2 x (/.f64 1 x))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (/.f64 1 x)))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (/.f64 1 x))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (sqrt.f64 (exp.f64 x))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (/.f64 1 x))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (/.f64 1 x))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 1/2 x (/.f64 1 x))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (/.f64 1 x))) 1))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 1/2 x (/.f64 1 x)) 3)) 1/3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (/.f64 1 x)))) 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 x (/.f64 1 x))) 1) 1))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 1/2 x (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 x 1/2 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 (*.f64 1/2 x) 1 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 1 (*.f64 1/2 x) (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) 0)
(fma.f64 x 1/2 (/.f64 1 x))

eval35.0ms (0.5%)

Compiler

Compiled 1386 to 1101 computations (20.6% saved)

prune25.0ms (0.4%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New84185
Fresh000
Picked145
Done167
Total861197
Accuracy
100.0%
Counts
97 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(hypot.f64 1 (+.f64 1 (*.f64 1/2 x)))
100.0%
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
72.8%
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
29.3%
(+.f64 1 (/.f64 1 x))
2.7%
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
15.3%
(+.f64 1 (*.f64 1/2 x))
4.3%
(*.f64 x -1/2)
3.0%
(*.f64 1/2 x)
71.7%
(sqrt.f64 (+.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
76.8%
(sqrt.f64 2)
Compiler

Compiled 169 to 137 computations (18.9% saved)

regimes16.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (/.f64 1 x))
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(hypot.f64 1 (+.f64 1 (*.f64 1/2 x)))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (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
(hypot.f64 1 (exp.f64 (*.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
12 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (/.f64 1 x))
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(hypot.f64 1 (+.f64 1 (*.f64 1/2 x)))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (/.f64 1 x))
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (sqrt.f64 1/2))
(hypot.f64 1 (+.f64 1 (*.f64 1/2 x)))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/4))))
Outputs
(+.f64 1 (/.f64 1 x))
(hypot.f64 1 (+.f64 1 (*.f64 1/2 x)))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
98.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.2%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
98.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (/.f64 1 x))
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(sqrt.f64 2)
Outputs
(+.f64 1 (/.f64 1 x))
(sqrt.f64 2)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (/.f64 1 x))
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
Outputs
(+.f64 1 (/.f64 1 x))
(+.f64 1 (*.f64 1/2 x))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
41.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 1/2 x))
Outputs
(+.f64 1 (*.f64 1/2 x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
15.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
4.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
3.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch26.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-173649.82453559173
-4.826898151097533e-15
Results
22.0ms160×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 193 to 168 computations (13% saved)

bsearch26.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-173649.82453559173
-4.826898151097533e-15
Results
22.0ms160×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 160 to 135 computations (15.6% saved)

bsearch26.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-173649.82453559173
-4.826898151097533e-15
Results
21.0ms160×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 138 to 124 computations (10.1% saved)

bsearch32.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
-173649.82453559173
-4.826898151097533e-15
Results
21.0ms160×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 171 to 146 computations (14.6% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
040243
151243
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(if (<=.f64 x -4728779608739021/1125899906842624) (+.f64 1 (/.f64 1 x)) (hypot.f64 1 (+.f64 1 (*.f64 1/2 x))))
(if (<=.f64 x -8106479329266893/4503599627370496) (+.f64 1 (/.f64 1 x)) (sqrt.f64 (+.f64 2 x)))
(if (<=.f64 x -5) (+.f64 1 (/.f64 1 x)) (sqrt.f64 2))
(if (<=.f64 x -3152519739159347/2251799813685248) (+.f64 1 (/.f64 1 x)) (+.f64 1 (*.f64 1/2 x)))
(+.f64 1 (*.f64 1/2 x))
(*.f64 x -1/2)
(*.f64 1/2 x)
Outputs
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(if (<=.f64 x -4728779608739021/1125899906842624) (+.f64 1 (/.f64 1 x)) (hypot.f64 1 (+.f64 1 (*.f64 1/2 x))))
(if (<=.f64 x -4728779608739021/1125899906842624) (+.f64 1 (/.f64 1 x)) (hypot.f64 1 (+.f64 1 (*.f64 x 1/2))))
(if (<=.f64 x -8106479329266893/4503599627370496) (+.f64 1 (/.f64 1 x)) (sqrt.f64 (+.f64 2 x)))
(if (<=.f64 x -8106479329266893/4503599627370496) (+.f64 1 (/.f64 1 x)) (sqrt.f64 (+.f64 x 2)))
(if (<=.f64 x -5) (+.f64 1 (/.f64 1 x)) (sqrt.f64 2))
(if (<=.f64 x -3152519739159347/2251799813685248) (+.f64 1 (/.f64 1 x)) (+.f64 1 (*.f64 1/2 x)))
(if (<=.f64 x -3152519739159347/2251799813685248) (+.f64 1 (/.f64 1 x)) (+.f64 1 (*.f64 x 1/2)))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
(*.f64 x -1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 85 to 69 computations (18.8% saved)

soundness651.0ms (9.2%)

Rules
1892×fma-define
1520×unpow-prod-down
1436×times-frac
1340×fma-neg
920×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024144
156136
288136
3172136
438796
5126080
6617980
01664
120064
2248964
017106
124682
2293682
02412880
15632658
222202406
379012406
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 131 to 87 computations (33.6% saved)

end0.0ms (0%)

preprocess132.0ms (1.9%)

Compiler

Compiled 180 to 144 computations (20% saved)

Profiling

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