sqrtexp (problem 3.4.4)

Time bar (total: 5.6s)

analyze196.0ms (3.5%)

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

Compiled 14 to 12 computations (14.3% saved)

sample2.6s (46.9%)

Results
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
2.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
1.0ms256valid
0.0ms2048valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms2048valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256infinite
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
53.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256infinite
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256infinite
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
5.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256infinite
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
2.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms2048valid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
30.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
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0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
1.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256infinite
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
1.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256infinite
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
Bogosity

preprocess682.0ms (12.1%)

Algorithm
egg-herbie
Rules
2136×fma-neg
702×div-sub
624×associate-*r/
582×associate-/r*
580×fma-define
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1770-0-(-.f64 (exp.f64 (*.f64 2 x)) 1)
1770-0-(-.f64 (exp.f64 x) 1)
20-0-(/.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)
01(-54.09710029200812)0-(exp.f64 (*.f64 2 x))
00-0-2
00-0-1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024144
173136
2158136
3313136
474684
5257080
6680280
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1))))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x))))
(hypot.f64 1 (pow.f64 (exp.f64 x) -1/2))
(hypot.f64 1 (pow.f64 (exp.f64 -1/2) 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 1 (exp.f64 (neg.f64 x)))))
(neg.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1/2)))
(neg.f64 (hypot.f64 1 (pow.f64 (exp.f64 -1/2) x)))
Compiler

Compiled 107 to 79 computations (26.2% saved)

eval1.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% 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)

localize29.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (exp.f64 x))
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 15 to 9 computations (40% saved)

series5.0ms (0.1%)

Counts
2 → 8
Calls

6 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)))
1.0ms
x
@0
(+.f64 1 (exp.f64 x))
1.0ms
x
@inf
(+.f64 1 (exp.f64 x))

rewrite505.0ms (9%)

Algorithm
batch-egg-rewrite
Rules
902×fma-define
694×unpow-prod-down
413×log1p-expm1-u
413×expm1-log1p-u
394×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
110332
2123432
Stop Event
node limit
Counts
2 → 148
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
Outputs
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.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 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(-.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 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)) 3))
(*.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) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(/.f64 (+.f64 1 (exp.f64 x)) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) (+.f64 (+.f64 1 (exp.f64 x)) (-.f64 0 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))))
(/.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))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 0)
(-.f64 (+.f64 1 (exp.f64 x)) 0)
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 1/2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5) 1/2) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2) 1/3) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 1 (exp.f64 x)))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (+.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (-.f64 0 (*.f64 (+.f64 1 (exp.f64 x)) 0))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 1 (exp.f64 (*.f64 x 3))))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 6)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 2/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 4)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 x 3)))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 1 (+.f64 1 (exp.f64 x)) 0)
(fma.f64 1 (+.f64 1 (exp.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 1 (+.f64 1 (exp.f64 x)) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (+.f64 1 (exp.f64 x)) 1 0)
(fma.f64 (+.f64 1 (exp.f64 x)) 1 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (+.f64 1 (exp.f64 x)) 1 (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(fma.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 0)
(fma.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))) 0)
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))

simplify99.0ms (1.8%)

Algorithm
egg-herbie
Rules
940×associate-/r*
876×unswap-sqr
844×add0
504×fma-neg
450×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03324755
110354621
231994453
Stop Event
node limit
Counts
156 → 206
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.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 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(-.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 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)) 3))
(*.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) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(/.f64 (+.f64 1 (exp.f64 x)) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) (+.f64 (+.f64 1 (exp.f64 x)) (-.f64 0 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))))
(/.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))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 0)
(-.f64 (+.f64 1 (exp.f64 x)) 0)
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 1/2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5) 1/2) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2) 1/3) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 1 (exp.f64 x)))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) (+.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (-.f64 0 (*.f64 (+.f64 1 (exp.f64 x)) 0))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 1 (exp.f64 (*.f64 x 3))))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 6)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 2/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 4)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 x 3)))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 1 (+.f64 1 (exp.f64 x)) 0)
(fma.f64 1 (+.f64 1 (exp.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 1 (+.f64 1 (exp.f64 x)) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (+.f64 1 (exp.f64 x)) 1 0)
(fma.f64 (+.f64 1 (exp.f64 x)) 1 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (+.f64 1 (exp.f64 x)) 1 (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(fma.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 0)
(fma.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))) 0)
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))) (sqrt.f64 2))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 (pow.f64 x 3) (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x (/.f64 7/96 (sqrt.f64 2))))))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 x (+.f64 2 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 x 1/6)))))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.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 2 (expm1.f64 x)))
(-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.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 2 (expm1.f64 x)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.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 2 (expm1.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 2 (expm1.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 2 (expm1.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 2 (expm1.f64 x)))) 2) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.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 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))) 2) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.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 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.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 2 (expm1.f64 x)) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4)))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/8) (pow.f64 (+.f64 2 (expm1.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 2 (expm1.f64 x)) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4)))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/8) (pow.f64 (+.f64 2 (expm1.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 (sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 5/6)) (sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6)))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 5/12) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/12))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)) 3))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.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 2 (expm1.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 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 5/4)) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4)))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 x))) 1/2))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 1 (+.f64 1 (exp.f64 x)) 0)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 1 (+.f64 1 (exp.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 1 (+.f64 1 (exp.f64 x)) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (exp.f64 x) 1 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (+.f64 1 (exp.f64 x)) 1 0)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (+.f64 1 (exp.f64 x)) 1 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (+.f64 1 (exp.f64 x)) 1 (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 0)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))) 0)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) 0)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(fma.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 0)
(*.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(fma.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(*.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(fma.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))) 0)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 0)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 0)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (pow.f64 (+.f64 1 (exp.f64 x)) 5/6))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6) (pow.f64 (+.f64 2 (expm1.f64 x)) 5/6))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (pow.f64 (+.f64 1 (exp.f64 x)) 5/6))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6) (pow.f64 (+.f64 2 (expm1.f64 x)) 5/6))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (*.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (pow.f64 (+.f64 1 (exp.f64 x)) 5/6))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6) (pow.f64 (+.f64 2 (expm1.f64 x)) 5/6))

eval173.0ms (3.1%)

Compiler

Compiled 2884 to 2047 computations (29% saved)

prune24.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2042206
Fresh000
Picked011
Done000
Total2043207
Accuracy
99.6%
Counts
207 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.1%
(sqrt.f64 (+.f64 2 x))
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
74.5%
(sqrt.f64 2)
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize43.0ms (0.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 2 x))
Compiler

Compiled 14 to 11 computations (21.4% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt.f64 (+.f64 2 x))
1.0ms
x
@inf
(sqrt.f64 (+.f64 2 x))
1.0ms
x
@-inf
(sqrt.f64 (+.f64 2 x))

rewrite68.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
658×fma-define
616×unpow-prod-down
374×log1p-expm1-u
374×expm1-log1p-u
351×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18414
2106714
Stop Event
node limit
Counts
1 → 55
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 x))
Outputs
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (sqrt.f64 (+.f64 2 x)) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/2) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))
(/.f64 (pow.f64 (+.f64 2 x) 3/2) (+.f64 (+.f64 2 x) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 2 x)) 0))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 4 (pow.f64 x 2)) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 2 x)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 0)
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 0)
(fma.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)) 0)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6) 0)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 0)

simplify82.0ms (1.5%)

Algorithm
egg-herbie
Rules
1338×fma-define
922×fma-neg
618×associate-*r*
587×add0
582×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01701650
15031638
214321610
353501610
Stop Event
node limit
Counts
59 → 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 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (sqrt.f64 (+.f64 2 x)) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/2) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))
(/.f64 (pow.f64 (+.f64 2 x) 3/2) (+.f64 (+.f64 2 x) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 2 x)) 0))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 4 (pow.f64 x 2)) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 2 x)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 0)
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 0)
(fma.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)) 0)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6) 0)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 0)
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (/.f64 (*.f64 1/16 (pow.f64 x 3)) (pow.f64 (sqrt.f64 2) 5)))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5))))))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (sqrt.f64 (+.f64 2 x))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(sqrt.f64 (+.f64 2 x))
(-.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.f64 (pow.f64 (+.f64 2 x) 3/8) (pow.f64 (+.f64 2 x) 1/8))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (-.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (/.f64 1 (fma.f64 x (+.f64 x -2) 4))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.f64 (pow.f64 (+.f64 2 x) 3/8) (pow.f64 (+.f64 2 x) 1/8))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/2) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 5/6)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (+.f64 2 x) 5/12) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)))
(/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(/.f64 (pow.f64 (+.f64 2 x) 3/2) (+.f64 (+.f64 2 x) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 2 x)) 0))))
(/.f64 (pow.f64 (+.f64 2 x) 3/2) (+.f64 2 x))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8))) (cbrt.f64 (fma.f64 x (+.f64 x -2) 4)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 4 (pow.f64 x 2)) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 2 x)))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 4 (pow.f64 x 2)))) (cbrt.f64 (-.f64 2 x)))
(pow.f64 (+.f64 2 x) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(sqrt.f64 (+.f64 2 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/6)) 3))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(sqrt.f64 (+.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 0)
(sqrt.f64 (+.f64 2 x))

eval33.0ms (0.6%)

Compiler

Compiled 977 to 832 computations (14.8% saved)

prune11.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New80181
Fresh000
Picked022
Done011
Total80484
Accuracy
99.6%
Counts
84 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.1%
(/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))
69.1%
(sqrt.f64 (+.f64 2 x))
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
74.5%
(sqrt.f64 2)
Compiler

Compiled 23 to 19 computations (17.4% saved)

localize34.0ms (0.6%)

Localize:

Found 2 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite77.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
960×unpow-prod-down
764×fma-define
476×log1p-expm1-u
476×expm1-log1p-u
408×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
111114
2154014
Stop Event
node limit
Counts
1 → 88
Calls
Call 1
Inputs
(/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))
Outputs
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (sqrt.f64 (+.f64 2 x)) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (+.f64 2 x) (pow.f64 (/.f64 1 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) (log.f64 (E.f64)))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) -1/6))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (+.f64 2 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/3))
(*.f64 (pow.f64 (+.f64 2 x) 3/4) (sqrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/6) (+.f64 2 x)) -1))
(*.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) 3/4))
(*.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (pow.f64 (+.f64 2 x) -3/4) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (pow.f64 (+.f64 2 x) -1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (+.f64 2 x) 1/12))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/6) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/6) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)) 2) 3) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 2) -1) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) -2) -1) (pow.f64 (+.f64 2 x) -1/6))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 2 x)) 1) -1) (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/6) (+.f64 2 x)) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/4) 1) -1) (pow.f64 (pow.f64 (+.f64 2 x) -3/4) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/12) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8)) -1) (/.f64 1 (fma.f64 x (-.f64 x 2) 4)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 4 (pow.f64 x 2))) -1) (/.f64 1 (-.f64 2 x)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) 1) -1)
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(neg.f64 (/.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) -2) (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))) -1))
(fma.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) -1/2) 0)
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 0)
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 0)
(fma.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)) 0)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) -1/6) 0)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 0)
(fma.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 0)
(fma.f64 (pow.f64 (+.f64 2 x) -1/2) (+.f64 2 x) 0)
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) 1 0)
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 1/6)) 0)
(fma.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) 3/4) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (pow.f64 (+.f64 2 x) -1/6) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (+.f64 2 x) 1/12) 0)

simplify82.0ms (1.5%)

Algorithm
egg-herbie
Rules
1158×times-frac
774×add0
756×associate-/r*
624×associate-/l*
530×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02452497
17902394
227102340
Stop Event
node limit
Counts
92 → 132
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (sqrt.f64 (+.f64 2 x)) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (+.f64 2 x) (pow.f64 (/.f64 1 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) (log.f64 (E.f64)))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) -1/6))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (+.f64 2 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/3))
(*.f64 (pow.f64 (+.f64 2 x) 3/4) (sqrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/6) (+.f64 2 x)) -1))
(*.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) 3/4))
(*.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (pow.f64 (+.f64 2 x) -3/4) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (pow.f64 (+.f64 2 x) -1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (+.f64 2 x) 1/12))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/6) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/6) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)) 2) 3) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 2) -1) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) -2) -1) (pow.f64 (+.f64 2 x) -1/6))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 2 x)) 1) -1) (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/6) (+.f64 2 x)) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/4) 1) -1) (pow.f64 (pow.f64 (+.f64 2 x) -3/4) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/12) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8)) -1) (/.f64 1 (fma.f64 x (-.f64 x 2) 4)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 4 (pow.f64 x 2))) -1) (/.f64 1 (-.f64 2 x)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) 1) -1)
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(neg.f64 (/.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) -2) (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))) -1))
(fma.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) -1/2) 0)
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 0)
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 0)
(fma.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)) 0)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) -1/6) 0)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 0)
(fma.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 0)
(fma.f64 (pow.f64 (+.f64 2 x) -1/2) (+.f64 2 x) 0)
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) 1 0)
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 1/6)) 0)
(fma.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) 3/4) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (pow.f64 (+.f64 2 x) -1/6) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (+.f64 2 x) 1/12) 0)
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 x 2) -1/16) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 x 2) -1/16) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5)))))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) -1/2))
(sqrt.f64 (+.f64 2 x))
(*.f64 (+.f64 2 x) (pow.f64 (/.f64 1 (+.f64 2 x)) 1/2))
(*.f64 (+.f64 2 x) (sqrt.f64 (/.f64 1 (+.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) (log.f64 (E.f64)))
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) -1/6))
(/.f64 (pow.f64 (+.f64 2 x) -1/6) (pow.f64 (cbrt.f64 (+.f64 2 x)) -2))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(sqrt.f64 (+.f64 2 x))
(*.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (+.f64 2 x))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/6)))
(*.f64 (pow.f64 (+.f64 2 x) 3/4) (sqrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.f64 (pow.f64 (+.f64 2 x) 3/8) (pow.f64 (+.f64 2 x) 1/8))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (-.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (/.f64 1 (fma.f64 x (+.f64 x -2) 4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 1/6)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/6) (+.f64 2 x)) -1))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) 3/4))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (pow.f64 (+.f64 2 x) -3/4) -1))
(*.f64 (pow.f64 (+.f64 2 x) -1/4) (/.f64 1 (pow.f64 (+.f64 2 x) -3/4)))
(/.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) -3/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (pow.f64 (+.f64 2 x) -1/6))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) -1/6))
(/.f64 (pow.f64 (+.f64 2 x) -1/6) (pow.f64 (cbrt.f64 (+.f64 2 x)) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (+.f64 2 x) 1/12))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/12)) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (/.f64 (pow.f64 (+.f64 2 x) 1/12) (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/6) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (+.f64 2 x) -1/6)) (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 2 x)))))
(/.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) -1/6))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/6) -1))
(*.f64 (/.f64 1 (pow.f64 (+.f64 2 x) -1/6)) (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 2 x)))))
(/.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) -1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.f64 (pow.f64 (+.f64 2 x) 3/8) (pow.f64 (+.f64 2 x) 1/8))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 5/6)) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (+.f64 2 x) 1/12) (pow.f64 (+.f64 2 x) 5/12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)) 2) 3) (pow.f64 (+.f64 2 x) 1/6))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)) 3))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 2) -1) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 2)))
(/.f64 (pow.f64 (+.f64 2 x) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) -2) -1) (pow.f64 (+.f64 2 x) -1/6))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) -1/6))
(/.f64 (pow.f64 (+.f64 2 x) -1/6) (pow.f64 (cbrt.f64 (+.f64 2 x)) -2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 2 x)) 1) -1) (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/6) (+.f64 2 x)) -1))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/4) -1))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/4) 1) -1) (pow.f64 (pow.f64 (+.f64 2 x) -3/4) -1))
(*.f64 (/.f64 1 (pow.f64 (+.f64 2 x) -3/4)) (/.f64 1 (pow.f64 (+.f64 2 x) 1/4)))
(/.f64 (/.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (+.f64 2 x) -3/4))
(/.f64 1 (*.f64 (pow.f64 (+.f64 2 x) -3/4) (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/12) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2))) (/.f64 1 (pow.f64 (+.f64 2 x) -1/12)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 x) -1/12)) 1) (/.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (+.f64 2 x) -1/12))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8)) -1) (/.f64 1 (fma.f64 x (-.f64 x 2) 4)))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -2) 4)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x (+.f64 x -2) 4))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 8) (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -2) 4))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 4 (pow.f64 x 2))) -1) (/.f64 1 (-.f64 2 x)))
(*.f64 (/.f64 1 (-.f64 2 x)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 4 (pow.f64 x 2)))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 4 (pow.f64 x 2))) (-.f64 2 x))
(/.f64 (/.f64 (-.f64 4 (pow.f64 x 2)) (sqrt.f64 (+.f64 2 x))) (-.f64 2 x))
(pow.f64 (+.f64 2 x) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(pow.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) 1) -1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(neg.f64 (/.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) -2) (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(sqrt.f64 (+.f64 2 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/6)) 3))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 2 x))) -1))
(sqrt.f64 (+.f64 2 x))
(fma.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) -1/2) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) -1/6) 0)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) -1/6))
(/.f64 (pow.f64 (+.f64 2 x) -1/6) (pow.f64 (cbrt.f64 (+.f64 2 x)) -2))
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (pow.f64 (+.f64 2 x) -1/2) (+.f64 2 x) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) 1 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 1/6)) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (pow.f64 (+.f64 2 x) -1/4) (pow.f64 (+.f64 2 x) 3/4) 0)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (pow.f64 (+.f64 2 x) -1/6) 0)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) -1/6))
(/.f64 (pow.f64 (+.f64 2 x) -1/6) (pow.f64 (cbrt.f64 (+.f64 2 x)) -2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (+.f64 2 x) 1/12) 0)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/12)) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (/.f64 (pow.f64 (+.f64 2 x) 1/12) (pow.f64 (+.f64 2 x) 1/4)))

eval76.0ms (1.4%)

Compiler

Compiled 2981 to 2498 computations (16.2% saved)

prune30.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2112213
Fresh000
Picked011
Done033
Total2116217
Accuracy
99.6%
Counts
217 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.1%
(/.f64 (+.f64 2 x) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1))
68.1%
(/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))
67.7%
(/.f64 (+.f64 2 x) (sqrt.f64 2))
69.1%
(sqrt.f64 (+.f64 2 x))
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
74.5%
(sqrt.f64 2)
Compiler

Compiled 43 to 36 computations (16.3% saved)

localize77.0ms (1.4%)

Localize:

Found 5 expressions with local error:

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

Compiled 51 to 41 computations (19.6% saved)

series9.0ms (0.2%)

Counts
4 → 24
Calls

12 calls:

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

rewrite133.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1150×prod-diff
1149×log1p-expm1-u
691×expm1-log1p-u
102×associate-*r*
100×add0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015107
122883
2360883
Stop Event
node limit
Counts
4 → 180
Calls
Call 1
Inputs
(/.f64 (+.f64 2 x) (sqrt.f64 2))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(/.f64 (+.f64 2 x) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
Outputs
(+.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 (+.f64 2 x) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)))) 1)
(*.f64 (+.f64 2 x) (pow.f64 2 -1/2))
(*.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (+.f64 2 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) 2)) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(*.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (+.f64 2 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (+.f64 2 x) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (+.f64 2 x)) -1)
(neg.f64 (/.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 2))))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) -2) (sqrt.f64 2)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) 1))
(fma.f64 (+.f64 2 x) (pow.f64 2 -1/2) 0)
(fma.f64 1 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 0)
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) 2)) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) 0)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) 0)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)))
(/.f64 (pow.f64 (+.f64 2 x) 3/2) (+.f64 (+.f64 2 x) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 2 x)) 0))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(/.f64 (-.f64 (+.f64 2 x) 0) (-.f64 (sqrt.f64 (+.f64 2 x)) 0))
(/.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (-.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 0)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 0)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) -1)
(+.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 0)
(+.f64 0 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))) 1)
(*.f64 (+.f64 2 x) (/.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 1 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 2 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 2 x))) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 2 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 2 x))) (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (/.f64 (+.f64 2 x) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(*.f64 (/.f64 (+.f64 2 x) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))
(pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)) -1)
(neg.f64 (/.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) -2) (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 2 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) 1))
(fma.f64 (+.f64 2 x) (/.f64 1 (sqrt.f64 (+.f64 2 x))) 0)
(fma.f64 1 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 0)
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 2 x))) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) 0)
(-.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 0) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (-.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 0)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 0)

simplify124.0ms (2.2%)

Algorithm
egg-herbie
Rules
644×div-sub
624×log-prod
560×distribute-rgt-in
508×distribute-lft-in
494×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04036203
112645926
256315918
Stop Event
node limit
Counts
204 → 249
Calls
Call 1
Inputs
(/.f64 2 (sqrt.f64 2))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 1 (sqrt.f64 2))
(+.f64 1 (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 1 (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 1 (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))))
(+.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 (+.f64 2 x) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)))) 1)
(*.f64 (+.f64 2 x) (pow.f64 2 -1/2))
(*.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (+.f64 2 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) 2)) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(*.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (+.f64 2 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (+.f64 2 x) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (+.f64 2 x)) -1)
(neg.f64 (/.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 2))))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) -2) (sqrt.f64 2)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) 1))
(fma.f64 (+.f64 2 x) (pow.f64 2 -1/2) 0)
(fma.f64 1 (/.f64 (+.f64 2 x) (sqrt.f64 2)) 0)
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) 2)) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) 0)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 2))) 0)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)))
(/.f64 (pow.f64 (+.f64 2 x) 3/2) (+.f64 (+.f64 2 x) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 2 x)) 0))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(/.f64 (-.f64 (+.f64 2 x) 0) (-.f64 (sqrt.f64 (+.f64 2 x)) 0))
(/.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (-.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 0)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 0)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) -1)
(+.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 0)
(+.f64 0 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))) 1)
(*.f64 (+.f64 2 x) (/.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 1 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 2 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 2 x))) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 2 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 2 x))) (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (+.f64 2 x) 1/4)) (/.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (/.f64 (+.f64 2 x) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(*.f64 (/.f64 (+.f64 2 x) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))
(pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)) -1)
(neg.f64 (/.f64 (+.f64 2 x) (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) -2) (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 2 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) 1))
(fma.f64 (+.f64 2 x) (/.f64 1 (sqrt.f64 (+.f64 2 x))) 0)
(fma.f64 1 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) 0)
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 2 x))) (cbrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) 0)
(-.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 0) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (-.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 0)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 0)
Outputs
(/.f64 2 (sqrt.f64 2))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 2 (/.f64 1 (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 2 (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (/.f64 (*.f64 1/2 x) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(+.f64 (fma.f64 (/.f64 x (sqrt.f64 2)) 1/2 (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
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(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 0)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 0)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 0)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))

eval143.0ms (2.5%)

Compiler

Compiled 5790 to 4939 computations (14.7% saved)

prune48.0ms (0.9%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New3273330
Fresh000
Picked022
Done044
Total3279336
Accuracy
99.6%
Counts
336 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.1%
(/.f64 (+.f64 2 x) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1))
68.1%
(/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))
67.7%
(/.f64 (+.f64 2 x) (sqrt.f64 2))
2.8%
(/.f64 x (sqrt.f64 2))
73.5%
(/.f64 2 (sqrt.f64 2))
68.7%
(*.f64 (pow.f64 2 -1/2) (+.f64 2 x))
69.1%
(sqrt.f64 (+.f64 2 x))
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
74.5%
(sqrt.f64 2)
Compiler

Compiled 126 to 105 computations (16.7% saved)

regimes21.0ms (0.4%)

Counts
10 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 2 (sqrt.f64 2))
(/.f64 x (sqrt.f64 2))
(/.f64 (+.f64 2 x) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (+.f64 2 x))
(/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))
(/.f64 (+.f64 2 x) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1))
(sqrt.f64 (+.f64 1 (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:

15.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
2.0ms
(sqrt.f64 (/.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)

regimes6.0ms (0.1%)

Accuracy

Total -46.1b remaining (-282.8%)

Threshold costs -46.1b (-282.8%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
74.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×+-commutative
add0
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
12323
22823
Stop Event
fuel
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)

soundness136.0ms (2.4%)

Rules
2136×fma-neg
702×div-sub
624×associate-*r/
582×associate-/r*
580×fma-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024144
173136
2158136
3313136
474684
5257080
6680280
Stop Event
node limit
Compiler

Compiled 85 to 56 computations (34.1% saved)

end0.0ms (0%)

preprocess29.0ms (0.5%)

Compiler

Compiled 42 to 36 computations (14.3% saved)

Profiling

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