sqrtexp (problem 3.4.4)

Time bar (total: 4.8s)

analyze150.0ms (3.1%)

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

Compiled 14 to 12 computations (14.3% saved)

sample2.5s (53.2%)

Results
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms2048valid
0.0ms256valid
55.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
1.0ms1024valid
0.0ms2048valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256infinite
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256infinite
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
63.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256infinite
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
2.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
2.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms2048valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
2.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
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0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256infinite
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms256infinite
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
1.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
Bogosity

preprocess619.0ms (13%)

Algorithm
egg-herbie
Rules
1352×associate-/l*
1118×associate-*r*
1072×associate-/r*
894×associate-*l*
584×associate-/l/
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1581(-0.00493424795519468)0-(-.f64 (exp.f64 (*.f64 2 x)) 1)
1581(-0.00493424795519468)0-(-.f64 (exp.f64 x) 1)
50-0-(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
10-0-(sqrt.f64 (/.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))
00-0-2
00-0-1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024144
156136
288136
3168136
4390108
5151784
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 (+.f64 1 (exp.f64 x)) 1))
(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 (+.f64 1 (exp.f64 x)) 1))
(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 (+.f64 1 (exp.f64 (neg.f64 x))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x))))
(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 (+.f64 1 (exp.f64 (neg.f64 x))) 1)))
(neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x)))))
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 1 (exp.f64 x)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

localize32.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 15 to 9 computations (40% saved)

series3.0ms (0.1%)

Counts
1 → 4
Calls

3 calls:

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

rewrite176.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
556×unpow-prod-down
384×log1p-expm1-u
384×expm1-log1p-u
368×log-prod
363×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
19918
2110418
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1/2))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (pow.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (pow.f64 1 1/3) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4) 1/3) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(/.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 (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(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))

simplify67.0ms (1.4%)

Algorithm
egg-herbie
Rules
636×times-frac
582×associate-+l+
580×associate-+r+
568×associate-*r*
516×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01661841
13961742
29421702
334051686
Stop Event
node limit
Counts
51 → 81
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))))))
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1/2))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (pow.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (pow.f64 1 1/3) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4) 1/3) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(/.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 (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(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 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 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 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 2) (+.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))))))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (fma.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (*.f64 (pow.f64 x 3) 7/192) (sqrt.f64 2))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (+.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (/.f64 x (/.f64 (sqrt.f64 2) 7/96))))) (sqrt.f64 2))
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(*.f64 3 (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 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.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 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (fabs.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/8)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/8) (pow.f64 (+.f64 1 (exp.f64 x)) 1/8))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (/.f64 1 (neg.f64 (expm1.f64 x)))))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (pow.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1/2))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (fabs.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/8)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/8) (pow.f64 (+.f64 1 (exp.f64 x)) 1/8))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/12) (pow.f64 (+.f64 1 (exp.f64 x)) 1/12))
(*.f64 (pow.f64 1 1/3) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.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 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4) 1/3) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/12))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/12))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 3) x)))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (expm1.f64 (*.f64 2 x))))) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/4)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/6)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (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)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (exp.f64 x))) 1/3))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval27.0ms (0.6%)

Compiler

Compiled 1187 to 890 computations (25% saved)

prune13.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New79281
Fresh000
Picked011
Done000
Total79382
Accuracy
99.6%
Counts
82 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
68.8%
(sqrt.f64 2)
98.7%
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize135.0ms (2.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.1%
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
98.1%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 23 to 13 computations (43.5% saved)

series60.0ms (1.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
31.0ms
x
@inf
(log1p.f64 (exp.f64 x))
25.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
1.0ms
x
@0
(log1p.f64 (exp.f64 x))
1.0ms
x
@0
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
1.0ms
x
@inf
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))

rewrite88.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
626×unpow-prod-down
448×log-prod
422×cbrt-prod
373×log1p-expm1-u
373×expm1-log1p-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01134
110132
2106130
Stop Event
node limit
Counts
2 → 125
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
Outputs
(+.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) 2) 1/2) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 3/2)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 3/2)) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) 2) 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 5)) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 2 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)) 1/2)
(*.f64 (*.f64 2 (log1p.f64 (exp.f64 x))) 1/2)
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(fma.f64 (log1p.f64 (exp.f64 x)) 1/2 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2) 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(+.f64 0 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (log.f64 (E.f64)))
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (pow.f64 (E.f64) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 1 (log1p.f64 (exp.f64 x))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 1/2)) (log1p.f64 (exp.f64 x))) (pow.f64 (sqrt.f64 (exp.f64 1/2)) (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3))
(*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (+.f64 (exp.f64 x) 1))) 1/3) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(/.f64 (pow.f64 (exp.f64 1/2) (+.f64 1 (log1p.f64 (exp.f64 x)))) (exp.f64 1/2))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (E.f64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 1/2) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) 2) (/.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (exp.f64 1/2) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) 2) 2))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (E.f64) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (E.f64) (/.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (*.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2))
(pow.f64 (pow.f64 (exp.f64 1/2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (E.f64) 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/2 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 1/2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 1/2)) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))

simplify80.0ms (1.7%)

Algorithm
egg-herbie
Rules
1480×fma-define
822×sqr-pow
718×distribute-lft-in
668×distribute-rgt-in
544×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03384895
18304670
221914540
Stop Event
node limit
Counts
149 → 195
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(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 (*.f64 (log1p.f64 (exp.f64 x)) 1/2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) 2) 1/2) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 3/2)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 3/2)) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) 2) 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 5)) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 2 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)) 1/2)
(*.f64 (*.f64 2 (log1p.f64 (exp.f64 x))) 1/2)
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(fma.f64 (log1p.f64 (exp.f64 x)) 1/2 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2) 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(+.f64 0 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (log.f64 (E.f64)))
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (pow.f64 (E.f64) (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 1 (log1p.f64 (exp.f64 x))) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 1/2)) (log1p.f64 (exp.f64 x))) (pow.f64 (sqrt.f64 (exp.f64 1/2)) (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3))
(*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (+.f64 (exp.f64 x) 1))) 1/3) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(/.f64 (pow.f64 (exp.f64 1/2) (+.f64 1 (log1p.f64 (exp.f64 x)))) (exp.f64 1/2))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (E.f64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 1/2) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) 2) (/.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (exp.f64 1/2) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) 2) 2))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (E.f64) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (E.f64) (/.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (*.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2))
(pow.f64 (pow.f64 (exp.f64 1/2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (E.f64) 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/2 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 1/2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 1/2)) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 2) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(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))
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(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/12) 6)
(*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (+.f64 (exp.f64 x) 1))) 1/3) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(/.f64 (pow.f64 (exp.f64 1/2) (+.f64 1 (log1p.f64 (exp.f64 x)))) (exp.f64 1/2))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (E.f64))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) 1)) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (E.f64))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 1/2) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) 2) (/.f64 (log1p.f64 (exp.f64 x)) 2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 1/2) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) 2) 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 3)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/12) 6)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (E.f64) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (E.f64) (/.f64 (log1p.f64 (exp.f64 x)) 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (*.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (exp.f64 1/2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (E.f64) 1/2) (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (E.f64) (*.f64 1/2 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 1/2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 1/2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 1/2)) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 1/2)) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (fabs.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))) (sqrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)))) (sqrt.f64 (sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))
(sqrt.f64 (+.f64 (exp.f64 x) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (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 (exp.f64 x) 1))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))

eval60.0ms (1.3%)

Compiler

Compiled 2898 to 1874 computations (35.3% saved)

prune67.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1941195
Fresh000
Picked112
Done011
Total1953198
Accuracy
99.6%
Counts
198 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
68.8%
(sqrt.f64 2)
63.7%
(exp.f64 (*.f64 1/2 (+.f64 (log.f64 2) (*.f64 1/2 x))))
Compiler

Compiled 19 to 17 computations (10.5% saved)

localize68.0ms (1.4%)

Localize:

Found 2 expressions with local error:

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

Compiled 33 to 28 computations (15.2% saved)

series7.0ms (0.1%)

Counts
2 → 11
Calls

6 calls:

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

rewrite92.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1704×prod-diff
716×log-prod
689×log1p-expm1-u
689×expm1-log1p-u
506×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01350
114242
2196440
Stop Event
node limit
Counts
2 → 101
Calls
Call 1
Inputs
(exp.f64 (*.f64 1/2 (+.f64 (log.f64 2) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (*.f64 1/2 x))
Outputs
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(*.f64 (pow.f64 (exp.f64 1/2) (log.f64 2)) (exp.f64 (*.f64 x 1/4)))
(*.f64 (exp.f64 (*.f64 x 1/4)) (pow.f64 (exp.f64 1/2) (log.f64 2)))
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 1)
(pow.f64 (exp.f64 1/2) (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (exp.f64 1/2) (+.f64 (/.f64 (fma.f64 1/2 x (log.f64 2)) 2) (/.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(pow.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (exp.f64 1) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) 2)) (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 2 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 (fma.f64 1/2 x (log.f64 2)) (log.f64 (pow.f64 (exp.f64 1/2) 2)))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (log.f64 (pow.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)) 2)) (log.f64 (exp.f64 1/2)))
(*.f64 (*.f64 2 (fma.f64 1/2 x (log.f64 2))) (log.f64 (exp.f64 1/2)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))
(log.f64 (*.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 (fma.f64 1/2 x (log.f64 2)) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (log.f64 2) 1 (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 x) 1 (log.f64 2))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1/2 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) (log.f64 (exp.f64 1/2)) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))) 1 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/2) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) 2) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) 2) (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/2) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))

simplify66.0ms (1.4%)

Algorithm
egg-herbie
Rules
1364×fma-define
1230×unswap-sqr
652×distribute-lft-in
614×distribute-rgt-in
500×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02453754
15833547
217452882
Stop Event
node limit
Counts
112 → 144
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/384 (*.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))))
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 2) (*.f64 -1/2 x))))
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 2) (*.f64 -1/2 x))))
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 2) (*.f64 -1/2 x))))
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 2) (*.f64 -1/2 x))))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(*.f64 (pow.f64 (exp.f64 1/2) (log.f64 2)) (exp.f64 (*.f64 x 1/4)))
(*.f64 (exp.f64 (*.f64 x 1/4)) (pow.f64 (exp.f64 1/2) (log.f64 2)))
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 1)
(pow.f64 (exp.f64 1/2) (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (exp.f64 1/2) (+.f64 (/.f64 (fma.f64 1/2 x (log.f64 2)) 2) (/.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(pow.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (exp.f64 1) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) 2)) (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 2 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 (fma.f64 1/2 x (log.f64 2)) (log.f64 (pow.f64 (exp.f64 1/2) 2)))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (log.f64 (pow.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)) 2)) (log.f64 (exp.f64 1/2)))
(*.f64 (*.f64 2 (fma.f64 1/2 x (log.f64 2))) (log.f64 (exp.f64 1/2)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))
(log.f64 (*.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 (fma.f64 1/2 x (log.f64 2)) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (log.f64 2) 1 (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 x) 1 (log.f64 2))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1/2 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) (log.f64 (exp.f64 1/2)) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))) 1 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/2) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) 2) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) 2) (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/2) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 (sqrt.f64 2) x)))
(fma.f64 1/4 (*.f64 (sqrt.f64 2) x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1/4 x) (*.f64 1/32 (pow.f64 x 2)))))
(fma.f64 (sqrt.f64 2) (*.f64 x (+.f64 1/4 (*.f64 x 1/32))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/384 (*.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 x 2) (sqrt.f64 2))) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/384 (*.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 1/32 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) (*.f64 1/4 (*.f64 (sqrt.f64 2) x)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/384 (*.f64 (sqrt.f64 2) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1/4 x) (*.f64 1/32 (pow.f64 x 2))))))
(fma.f64 (sqrt.f64 2) (*.f64 x (+.f64 1/4 (*.f64 x 1/32))) (*.f64 (sqrt.f64 2) (fma.f64 1/384 (pow.f64 x 3) 1)))
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 2) (*.f64 -1/2 x))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 2) (*.f64 -1/2 x))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 2) (*.f64 -1/2 x))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 2) (*.f64 -1/2 x))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))) 1)
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 1)
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(*.f64 1 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (exp.f64 1/2) (log.f64 2)) (exp.f64 (*.f64 x 1/4)))
(*.f64 (pow.f64 (exp.f64 1/2) (log.f64 2)) (pow.f64 (exp.f64 x) 1/4))
(*.f64 (pow.f64 (exp.f64 1/2) (log.f64 2)) (pow.f64 (exp.f64 1/4) x))
(*.f64 (exp.f64 (*.f64 x 1/4)) (pow.f64 (exp.f64 1/2) (log.f64 2)))
(*.f64 (pow.f64 (exp.f64 1/2) (log.f64 2)) (pow.f64 (exp.f64 x) 1/4))
(*.f64 (pow.f64 (exp.f64 1/2) (log.f64 2)) (pow.f64 (exp.f64 1/4) x))
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 1)
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 1/2) (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 1/2) (+.f64 (/.f64 (fma.f64 1/2 x (log.f64 2)) 2) (/.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)) 1/2)
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) 3)
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 3) 1/3)
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))) 2)
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 1) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) 2)) (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) 3))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(pow.f64 (exp.f64 1/2) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(pow.f64 (exp.f64 1/2) (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 x -1/2)))
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(*.f64 2 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
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(fma.f64 x 1/2 (log.f64 2))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
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(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 2))) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) 2) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) 2) (cbrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/2) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (*.f64 1/2 (fma.f64 1/2 x (log.f64 2)))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 1/2 (fma.f64 1/2 x (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))

eval70.0ms (1.5%)

Compiler

Compiled 2253 to 1998 computations (11.3% saved)

prune19.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1422144
Fresh000
Picked101
Done022
Total1434147
Accuracy
99.6%
Counts
147 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
68.8%
(sqrt.f64 2)
15.6%
(exp.f64 (*.f64 1/2 (*.f64 x 1/2)))
Compiler

Compiled 24 to 21 computations (12.5% saved)

localize60.0ms (1.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
Compiler

Compiled 35 to 28 computations (20% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
1.0ms
x
@inf
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
1.0ms
x
@-inf
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))

rewrite64.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
522×unpow-prod-down
400×log-prod
392×cbrt-prod
351×log1p-expm1-u
351×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
19522
299122
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
Outputs
(+.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 1/4 x)) (sqrt.f64 2))
(+.f64 (*.f64 (*.f64 1/4 x) (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 3/2)) (fma.f64 1/4 x 1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 1)
(pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 3)
(pow.f64 (*.f64 2 (pow.f64 (fma.f64 1/4 x 1) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 2))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))))
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 1/4 x 1) 2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))) 2))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(fma.f64 (*.f64 1/4 x) (sqrt.f64 2) (sqrt.f64 2))

simplify73.0ms (1.5%)

Algorithm
egg-herbie
Rules
1474×log-prod
926×fma-neg
728×associate-*r*
622×associate-*l*
592×exp-sum
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082899
1184899
2546899
33605899
46372899
Stop Event
node limit
Counts
37 → 31
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 1/4 (*.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 1/4 (*.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(+.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 1/4 x)) (sqrt.f64 2))
(+.f64 (*.f64 (*.f64 1/4 x) (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 3/2)) (fma.f64 1/4 x 1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 1)
(pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 3)
(pow.f64 (*.f64 2 (pow.f64 (fma.f64 1/4 x 1) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 2))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))))
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 1/4 x 1) 2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))) 2))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(fma.f64 (*.f64 1/4 x) (sqrt.f64 2) (sqrt.f64 2))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(*.f64 1/4 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (*.f64 1/4 x))
(*.f64 1/4 (*.f64 (sqrt.f64 2) x))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(*.f64 1/4 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (*.f64 1/4 x))
(*.f64 1/4 (*.f64 (sqrt.f64 2) x))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 1/4 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (*.f64 (*.f64 1/4 x) (sqrt.f64 2)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 3/2)) (fma.f64 1/4 x 1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 1)
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)) 1)
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 3)
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (*.f64 2 (pow.f64 (fma.f64 1/4 x 1) 2)) 1/2)
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)) 3) 1/3)
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 2)
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))) 2))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 1/4 x 1) 2)))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/4 x 1)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)) 3))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))) 3))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))) 1/3))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))) 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(fma.f64 (sqrt.f64 2) (*.f64 1/4 x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(fma.f64 (*.f64 1/4 x) (sqrt.f64 2) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))

eval9.0ms (0.2%)

Compiler

Compiled 328 to 294 computations (10.4% saved)

prune7.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New31031
Fresh000
Picked022
Done022
Total31435
Accuracy
99.6%
Counts
35 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
68.8%
(sqrt.f64 2)
15.6%
(exp.f64 (*.f64 1/2 (*.f64 x 1/2)))
Compiler

Compiled 72 to 60 computations (16.7% saved)

regimes10.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(exp.f64 (*.f64 1/2 (*.f64 x 1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(exp.f64 (*.f64 1/2 (+.f64 (log.f64 2) (*.f64 1/2 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Calls

3 calls:

5.0ms
x
2.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
2.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
99.6%1(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total -35.0b remaining (-175.7%)

Threshold costs -35b (-175.7%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
68.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
11823
Stop Event
done
saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Compiler

Compiled 9 to 8 computations (11.1% saved)

soundness75.0ms (1.6%)

Rules
1352×associate-/l*
1118×associate-*r*
1072×associate-/r*
894×associate-*l*
584×associate-/l/
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024144
156136
288136
3168136
4390108
5151784
Stop Event
node limit
Compiler

Compiled 85 to 56 computations (34.1% saved)

end0.0ms (0%)

preprocess29.0ms (0.6%)

Compiler

Compiled 42 to 36 computations (14.3% saved)

Profiling

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