sqrtexp (problem 3.4.4)

Time bar (total: 6.7s)

analyze153.0ms (2.3%)

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

Compiled 14 to 12 computations (14.3% saved)

sample2.6s (39.3%)

Results
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256infinite
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
2.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms1024valid
0.0ms256infinite
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms2048valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
65.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256infinite
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
4.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms512valid
0.0ms512valid
0.0ms256infinite
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256infinite
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256infinite
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
1.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms2048valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
1.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
58.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
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0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
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0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
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0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms2048valid
0.0ms256valid
1.0ms1024valid
0.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
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0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256infinite
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
1.0ms1024valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
0.0ms1024valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
1.0ms512valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms512valid
1.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256unsamplable
1.0ms1024valid
1.0ms1024valid
0.0ms512valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms256unsamplable
0.0ms1024valid
0.0ms256unsamplable
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms256unsamplable
0.0ms256unsamplable
1.0ms256unsamplable
0.0ms256unsamplable
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
Bogosity

preprocess768.0ms (11.4%)

Algorithm
egg-herbie
Rules
1436×times-frac
1340×fma-neg
772×associate-/l*
694×unswap-sqr
588×div-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1730-0-(-.f64 (exp.f64 (*.f64 2 x)) 1)
1730-0-(-.f64 (exp.f64 x) 1)
30-0-(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
00-0-x
00-0-(exp.f64 x)
00-0-(*.f64 2 x)
00-0-(exp.f64 (*.f64 2 x))
00-0-(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
00-0-2
00-0-1
Iterations

Useful iterations: 5 (0.0ms)

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

Compiled 107 to 79 computations (26.2% saved)

eval1.0ms (0%)

Compiler

Compiled 21 to 16 computations (23.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 15 to 12 computations (20% saved)

localize217.0ms (3.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.1%
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
100.0%
(+.f64 1 (exp.f64 x))
Compiler

Compiled 41 to 25 computations (39% saved)

series5.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

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

rewrite328.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
1210×unpow-prod-down
680×log-prod
653×log1p-expm1-u
651×expm1-log1p-u
374×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01428
116028
2204728
Stop Event
node limit
Counts
2 → 197
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (*.f64 x 2)))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (/.f64 1 (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 1) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) 3) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (expm1.f64 (*.f64 x 2))) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) 2) -1) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2)) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (expm1.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.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 -1 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.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 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x 2)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (expm1.f64 (*.f64 x 2)) 1) (expm1.f64 x))
(/.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) (log.f64 (exp.f64 1)))
(+.f64 0 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (exp.f64 1)) (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (+.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 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (*.f64 x 2)))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (/.f64 1 (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 1) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) 3) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (expm1.f64 (*.f64 x 2))) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) 2) -1) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2)) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)

simplify144.0ms (2.1%)

Algorithm
egg-herbie
Rules
918×fma-define
840×associate-/r*
756×distribute-lft-in
724×distribute-rgt-in
612×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02976474
17226227
224295681
Stop Event
node limit
Counts
213 → 144
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (+.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 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) 3) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (expm1.f64 (*.f64 x 2))) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) 2) -1) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2)) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
Outputs
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 1/6 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/2 (pow.f64 x 2) 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 1/6 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/2 (pow.f64 x 2) 2))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (exp.f64 1)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (expm1.f64 x))) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (*.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (/.f64 1 (expm1.f64 (*.f64 x 2))) -1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (expm1.f64 (*.f64 x 2))) -1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) 2) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) 2) (/.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (cbrt.f64 (expm1.f64 x))) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) 1) (pow.f64 (/.f64 (expm1.f64 (*.f64 x 2)) (sqrt.f64 (expm1.f64 x))) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) 2) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 x))) 2) (/.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) 2) (sqrt.f64 (expm1.f64 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (sqrt.f64 (expm1.f64 x))) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x 2))) (cbrt.f64 (expm1.f64 x))) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) 3) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
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(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 2 x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(fma.f64 (exp.f64 x) 1 1)
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (expm1.f64 x))

eval41.0ms (0.6%)

Compiler

Compiled 2076 to 1486 computations (28.4% saved)

prune48.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1413144
Fresh000
Picked202
Done000
Total1433146
Accuracy
100.0%
Counts
146 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
67.4%
(sqrt.f64 (+.f64 2 x))
73.2%
(sqrt.f64 2)
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize247.0ms (3.7%)

Localize:

Found 1 expressions with local error:

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

Compiled 27 to 18 computations (33.3% saved)

series3.0ms (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))

rewrite72.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
614×unpow-prod-down
353×log1p-expm1-u
353×expm1-log1p-u
333×add-exp-log
319×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18014
295614
Stop Event
node limit
Counts
1 → 51
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 x))
Outputs
(+.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 (+.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 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.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)))
(*.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 (+.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) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (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 (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(/.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))

simplify104.0ms (1.6%)

Algorithm
egg-herbie
Rules
2016×fma-neg
556×associate-*r*
538×associate-/l*
538×times-frac
506×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01671735
13541723
28301659
332811639
478691639
Stop Event
node limit
Counts
55 → 75
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 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 (+.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 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.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)))
(*.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 (+.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) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (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 (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)))
(/.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))
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 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x -1/16))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))))))
(fma.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 x -1/16)))))
(+.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 (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 (+.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 (fabs.f64 (pow.f64 (+.f64 2 x) 1/8)) (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 (pow.f64 (+.f64 2 x) 1/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.f64 (fabs.f64 (pow.f64 (+.f64 2 x) 1/8)) (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 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 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4))))
(*.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 (fabs.f64 (pow.f64 (+.f64 2 x) 1/8)) (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) 5/12) (pow.f64 (+.f64 2 x) 1/12))
(*.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) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (pow.f64 (+.f64 2 x) 1/12))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (pow.f64 (+.f64 2 x) 1/12))
(*.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) 5/12) (pow.f64 (+.f64 2 x) 1/12))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)) (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 (fabs.f64 (pow.f64 (+.f64 2 x) 1/8)) (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))) (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)
(sqrt.f64 (+.f64 2 x))
(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))

eval23.0ms (0.3%)

Compiler

Compiled 927 to 790 computations (14.8% saved)

prune10.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New74175
Fresh000
Picked033
Done000
Total74478
Accuracy
100.0%
Counts
78 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
100.0%
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
67.4%
(sqrt.f64 (+.f64 2 x))
73.2%
(sqrt.f64 2)
Compiler

Compiled 23 to 20 computations (13% saved)

localize50.0ms (0.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 2 x))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
99.0%
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
Compiler

Compiled 26 to 21 computations (19.2% saved)

series4.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite100.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1054×prod-diff
1030×unpow-prod-down
762×fma-define
673×log1p-expm1-u
673×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01246
114934
2209334
Stop Event
node limit
Counts
2 → 170
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
Outputs
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (log.f64 (exp.f64 -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 (log.f64 (exp.f64 1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) (log.f64 (exp.f64 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 (cbrt.f64 (+.f64 2 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))) 1))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.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 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 2 x) 1/4) (sqrt.f64 (+.f64 2 x))) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/4)) 1/3))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 3) 8) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (pow.f64 (-.f64 4 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 2 x) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 2 x))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1))
(*.f64 (pow.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) 1) (pow.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) 1/4) 3) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 2 x) (cbrt.f64 (+.f64 2 x))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 2 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x)))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))
(/.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 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x)))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (fma.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))))
(/.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)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x)))))) -1)
(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))))
(hypot.f64 (pow.f64 (+.f64 2 x) 1/4) (sqrt.f64 (-.f64 (+.f64 2 x) (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 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 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 1 (sqrt.f64 (+.f64 2 x)) 0)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(fma.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 0)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1 -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 0)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) -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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) -1)
(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)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))) 0)
(fma.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 1)
(fma.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) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 2 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 2 x) 1/4) 1) 1)
(-.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 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 1/3))
(*.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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) 1))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))) 1))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 -1 x) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 3))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 1/3) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 3) 1/3) (pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 1/3) (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 1/3) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 2))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (+.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 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (-.f64 (+.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 1 (-.f64 (+.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 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 1 (-.f64 (+.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)
(pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)) -1)
(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 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(fma.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) -1)
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1)
(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 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) 1 -1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) -1)
(fma.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) 1)

simplify121.0ms (1.8%)

Algorithm
egg-herbie
Rules
1348×times-frac
772×fma-neg
578×sqr-pow
530×exp-prod
526×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04146355
110046047
236095886
Stop Event
node limit
Counts
178 → 242
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 1 (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 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (log.f64 (exp.f64 -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 (log.f64 (exp.f64 1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) (log.f64 (exp.f64 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 (cbrt.f64 (+.f64 2 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))) 1))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.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 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 1/4)) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 2 x) 1/4) (sqrt.f64 (+.f64 2 x))) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/4)) 1/3))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 3) 8) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (pow.f64 (-.f64 4 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 2 x) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 2 x))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1))
(*.f64 (pow.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) 1) (pow.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) 1/4) 3) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 2 x) (cbrt.f64 (+.f64 2 x))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 2 x) (pow.f64 (+.f64 2 x) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 2 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 1/4)) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x)))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))
(/.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 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x)))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (fma.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))))
(/.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)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x)))))) -1)
(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))))
(hypot.f64 (pow.f64 (+.f64 2 x) 1/4) (sqrt.f64 (-.f64 (+.f64 2 x) (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 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 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 1 (sqrt.f64 (+.f64 2 x)) 0)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(fma.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 0)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1 -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 0)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) -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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) -1)
(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)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))) 0)
(fma.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 1)
(fma.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) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 2 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 2 x) 1/4) 1) 1)
(-.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 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 1/3))
(*.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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) 1))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))) 1))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 -1 x) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 3))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) 1/3) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 3) 1/3) (pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 1/3) (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 1/3) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) 2))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (+.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 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (-.f64 (+.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 1 (-.f64 (+.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 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 1 (-.f64 (+.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)
(pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)) -1)
(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 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(fma.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) -1)
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1)
(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 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) 1 -1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) -1)
(fma.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) 1)
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.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 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)))
(+.f64 1 (sqrt.f64 2))
(+.f64 (sqrt.f64 2) 1)
(+.f64 1 (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (+.f64 (sqrt.f64 2) 1) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1)
(+.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 (+.f64 (sqrt.f64 2) 1) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 1 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (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 (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)))))) 1)
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)))))))
(+.f64 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(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 1 (sqrt.f64 (+.f64 2 x))) (log.f64 (exp.f64 -1)))
(sqrt.f64 (+.f64 2 x))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(+.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)
(sqrt.f64 (+.f64 2 x))
(+.f64 (log.f64 (exp.f64 1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(sqrt.f64 (+.f64 2 x))
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(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 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) 1 -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 3))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 3))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.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) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))

eval124.0ms (1.8%)

Compiler

Compiled 5263 to 4635 computations (11.9% saved)

prune45.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3152317
Fresh000
Picked011
Done033
Total3156321
Accuracy
100.0%
Counts
321 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.4%
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) 1)
72.2%
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
66.4%
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
100.0%
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
67.4%
(sqrt.f64 (+.f64 2 x))
73.2%
(sqrt.f64 2)
Compiler

Compiled 45 to 40 computations (11.1% saved)

localize106.0ms (1.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))
100.0%
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))
99.0%
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) 1)
98.4%
(-.f64 1 (sqrt.f64 (+.f64 2 x)))
98.9%
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
Compiler

Compiled 72 to 61 computations (15.3% saved)

series16.0ms (0.2%)

Counts
5 → 19
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) 1)
2.0ms
x
@0
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) 1)
2.0ms
x
@inf
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))
1.0ms
x
@0
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))
1.0ms
x
@inf
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) 1)

rewrite149.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1035×log1p-expm1-u
854×expm1-log1p-u
142×associate-*r*
142×add-cube-cbrt
141×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019154
131385
2486785
Stop Event
node limit
Counts
5 → 212
Calls
Call 1
Inputs
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
(-.f64 1 (sqrt.f64 (+.f64 2 x)))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) 1)
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))
Outputs
(+.f64 (sqrt.f64 2) 0)
(+.f64 1 (+.f64 (sqrt.f64 2) -1))
(+.f64 (+.f64 (sqrt.f64 2) 1) -1)
(+.f64 -1 (+.f64 (sqrt.f64 2) 1))
(+.f64 0 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))
(/.f64 2 (-.f64 (sqrt.f64 2) 0))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (pow.f64 2 3/2) 1/3)
(pow.f64 (pow.f64 2 1/4) 2)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 2 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 2) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(fma.f64 1 (sqrt.f64 2) 0)
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.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 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.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 (-.f64 -1 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x)))) (neg.f64 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x))))) (-.f64 1 (neg.f64 (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 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 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 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 1))
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -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 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.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 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)))
(/.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 1 (sqrt.f64 (+.f64 2 x))))))
(/.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 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.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 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.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 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (neg.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(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 (+.f64 2 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(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 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(fma.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x) -1)
(+.f64 (/.f64 1 (-.f64 -1 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 -1 x))))
(-.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) 1)
(-.f64 (/.f64 (/.f64 1 (-.f64 -1 x)) 1) (/.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 -1 x)) 1))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 1 (-.f64 -1 x)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (/.f64 1 (-.f64 -1 x)) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 1 (-.f64 -1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 1))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 1 (-.f64 -1 x))))
(*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 1 (neg.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (sqrt.f64 (-.f64 -1 x))) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))
(*.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 x 2))) (+.f64 x -1))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2)
(neg.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (-.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(+.f64 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1) (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (-.f64 -1 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 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (/.f64 (cbrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(*.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (/.f64 1 (-.f64 -1 x)) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) (-.f64 -1 x))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (-.f64 -1 x)))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (+.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (neg.f64 (-.f64 -1 x)))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(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 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)
(neg.f64 (/.f64 -1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) -1))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))
(exp.f64 (-.f64 (log.f64 (-.f64 -1 x)) (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))))))

simplify146.0ms (2.2%)

Algorithm
egg-herbie
Rules
506×log-prod
492×cube-prod
486×exp-prod
482×div-sub
476×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05489029
114358143
261118135
Stop Event
node limit
Counts
231 → 307
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2))
1
1
(*.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (*.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))))))) (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))))))
(*.f64 -1 x)
(*.f64 -1 (-.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))))) (*.f64 -1 (-.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))) (sqrt.f64 2)))) (*.f64 -1 (-.f64 1 (sqrt.f64 2)))))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))) (sqrt.f64 2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (-.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))))))) (*.f64 -1 (-.f64 1 (sqrt.f64 2))))))
(/.f64 -1 (-.f64 1 (sqrt.f64 2)))
(-.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))))))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) 0)
(+.f64 1 (+.f64 (sqrt.f64 2) -1))
(+.f64 (+.f64 (sqrt.f64 2) 1) -1)
(+.f64 -1 (+.f64 (sqrt.f64 2) 1))
(+.f64 0 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))
(/.f64 2 (-.f64 (sqrt.f64 2) 0))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (pow.f64 2 3/2) 1/3)
(pow.f64 (pow.f64 2 1/4) 2)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 2 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 2) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1))
(fma.f64 1 (sqrt.f64 2) 0)
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.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 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.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 (-.f64 -1 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x)))) (neg.f64 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x))))) (-.f64 1 (neg.f64 (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 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 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 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 1))
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -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 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.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 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)))
(/.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 1 (sqrt.f64 (+.f64 2 x))))))
(/.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 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.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 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.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 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (neg.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(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 (+.f64 2 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(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 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(fma.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x) -1)
(+.f64 (/.f64 1 (-.f64 -1 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 -1 x))))
(-.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) 1)
(-.f64 (/.f64 (/.f64 1 (-.f64 -1 x)) 1) (/.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 -1 x)) 1))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 1 (-.f64 -1 x)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (/.f64 1 (-.f64 -1 x)) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 1 (-.f64 -1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 1))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 1 (-.f64 -1 x))))
(*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 1 (neg.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (sqrt.f64 (-.f64 -1 x))) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))
(*.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 x 2))) (+.f64 x -1))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2)
(neg.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 3) (pow.f64 (-.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(+.f64 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1) (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (-.f64 -1 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 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (/.f64 (cbrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(*.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (/.f64 1 (-.f64 -1 x)) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) (-.f64 -1 x))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (-.f64 -1 x)))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (+.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (neg.f64 (-.f64 -1 x)))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(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 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)
(neg.f64 (/.f64 -1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) -1))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))
(exp.f64 (-.f64 (log.f64 (-.f64 -1 x)) (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))))))
Outputs
(-.f64 1 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 1 (-.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)))
(-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) 1) (sqrt.f64 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2))
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))) (sqrt.f64 2)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (sqrt.f64 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2))
(+.f64 1 (-.f64 (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 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2)))
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) 1) (-.f64 (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)))) (sqrt.f64 2)))
1
1
(*.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))))
(neg.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))))
(+.f64 -1 (/.f64 1 (+.f64 (sqrt.f64 2) -1)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (*.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))))
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (neg.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))))
(+.f64 -1 (fma.f64 (neg.f64 x) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (+.f64 (sqrt.f64 2) -1))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))))
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (pow.f64 x 2) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))))
(-.f64 (fma.f64 (pow.f64 x 2) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (+.f64 -1 (/.f64 1 (+.f64 (sqrt.f64 2) -1)))) (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))))))) (+.f64 (*.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))))))
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 -1 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (-.f64 1 (sqrt.f64 2)) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))))))) (fma.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (pow.f64 x 2) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))))
(-.f64 (-.f64 (fma.f64 (pow.f64 x 2) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (+.f64 -1 (/.f64 1 (+.f64 (sqrt.f64 2) -1)))) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1/16 (sqrt.f64 2)) (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (-.f64 1 (sqrt.f64 2)))))))) (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 (-.f64 1 (sqrt.f64 2)))
(neg.f64 (-.f64 1 (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) -1)
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))))) (*.f64 -1 (-.f64 1 (sqrt.f64 2))))
(*.f64 -1 (+.f64 (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (/.f64 1/2 (sqrt.f64 2))))) (-.f64 1 (sqrt.f64 2))))
(-.f64 (+.f64 (sqrt.f64 2) -1) (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (/.f64 1/2 (sqrt.f64 2))))))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))) (sqrt.f64 2)))) (*.f64 -1 (-.f64 1 (sqrt.f64 2)))))
(fma.f64 -1 (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (/.f64 1/2 (sqrt.f64 2))))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (+.f64 (+.f64 1 (/.f64 1/8 (pow.f64 (sqrt.f64 2) 3))) (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))) (-.f64 1 (sqrt.f64 2)))))
(-.f64 (-.f64 (+.f64 (sqrt.f64 2) -1) (*.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (/.f64 1/16 (sqrt.f64 2)) (-.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)))))) (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (/.f64 1/2 (sqrt.f64 2))))))
(+.f64 (*.f64 -1 (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))) (sqrt.f64 2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (-.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 2))))))))) (*.f64 -1 (-.f64 1 (sqrt.f64 2))))))
(fma.f64 -1 (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (/.f64 1/2 (sqrt.f64 2))))) (fma.f64 -1 (*.f64 (pow.f64 x 2) (-.f64 (+.f64 (+.f64 1 (/.f64 1/8 (pow.f64 (sqrt.f64 2) 3))) (/.f64 1/2 (sqrt.f64 2))) (sqrt.f64 2))) (fma.f64 -1 (*.f64 (pow.f64 x 3) (-.f64 (sqrt.f64 2) (+.f64 (+.f64 1 (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5))) (+.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 2) 3)))))) (neg.f64 (-.f64 1 (sqrt.f64 2))))))
(-.f64 (-.f64 (-.f64 (+.f64 (sqrt.f64 2) -1) (*.f64 (pow.f64 x 3) (-.f64 (sqrt.f64 2) (+.f64 (+.f64 (+.f64 1 (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5))) (/.f64 1/2 (sqrt.f64 2))) (/.f64 1/16 (sqrt.f64 2)))))) (*.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (/.f64 1/16 (sqrt.f64 2)) (-.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)))))) (*.f64 x (-.f64 (sqrt.f64 2) (+.f64 1 (/.f64 1/2 (sqrt.f64 2))))))
(/.f64 -1 (-.f64 1 (sqrt.f64 2)))
(/.f64 1 (+.f64 (sqrt.f64 2) -1))
(-.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(-.f64 (*.f64 (neg.f64 x) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(fma.f64 (neg.f64 x) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (+.f64 (sqrt.f64 2) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(-.f64 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 x 2) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(fma.f64 (neg.f64 x) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (fma.f64 (pow.f64 x 2) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (/.f64 1 (+.f64 (sqrt.f64 2) -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))))))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(-.f64 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 -1 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (-.f64 1 (sqrt.f64 2)) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))))))) (*.f64 (pow.f64 x 2) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(+.f64 (fma.f64 (pow.f64 x 2) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (*.f64 (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 (/.f64 1/16 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (*.f64 (/.f64 1/16 (sqrt.f64 2)) (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (-.f64 1 (sqrt.f64 2)))))) (neg.f64 (pow.f64 x 3)))) (fma.f64 (neg.f64 x) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (/.f64 1 (+.f64 (sqrt.f64 2) -1))))
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(+.f64 1 (+.f64 (sqrt.f64 2) -1))
(sqrt.f64 2)
(+.f64 (+.f64 (sqrt.f64 2) 1) -1)
(sqrt.f64 2)
(+.f64 -1 (+.f64 (sqrt.f64 2) 1))
(sqrt.f64 2)
(+.f64 0 (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(sqrt.f64 2)
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (-.f64 -1 x)))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 -1 x)))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (+.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (-.f64 -1 x) (+.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 3 x)) (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (neg.f64 (-.f64 -1 x)))
(*.f64 (neg.f64 (-.f64 -1 x)) (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(neg.f64 (/.f64 -1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.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)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.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 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) -1))
(+.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)))
(exp.f64 (-.f64 (log.f64 (-.f64 -1 x)) (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))

eval143.0ms (2.1%)

Compiler

Compiled 6678 to 6133 computations (8.2% saved)

prune45.0ms (0.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New3016307
Fresh000
Picked202
Done044
Total30310313
Accuracy
100.0%
Counts
313 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.2%
(/.f64 2 (sqrt.f64 2))
65.1%
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 2)) (-.f64 -1 x))) 1)
2.7%
(-.f64 (/.f64 1 (/.f64 1 (-.f64 -1 x))) 1)
65.3%
(-.f64 (/.f64 1 (-.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 -1 x)))) 1)
71.2%
(-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) 1)
66.4%
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
100.0%
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
67.4%
(sqrt.f64 (+.f64 2 x))
73.2%
(sqrt.f64 2)
4.1%
(neg.f64 x)
Compiler

Compiled 200 to 173 computations (13.5% saved)

regimes13.0ms (0.2%)

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

3 calls:

7.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
100.0%1(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes8.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (/.f64 1 (/.f64 1 (-.f64 -1 x))) 1)
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 2 (sqrt.f64 2))
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) 1)
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 2)) (-.f64 -1 x))) 1)
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x))) 1)
(-.f64 (/.f64 1 (-.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) (-.f64 -1 x)))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
73.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.9b remaining (-1.4%)

Threshold costs -0.9b (-1.4%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
4.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
sub-neg
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01649
12649
22849
32949
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(neg.f64 x)
Outputs
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(neg.f64 x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

soundness787.0ms (11.7%)

Rules
1436×times-frac
1340×fma-neg
1210×unpow-prod-down
1054×prod-diff
1030×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024144
156136
288136
3172136
438796
5126080
6617980
01428
116028
2204728
02976474
17226227
224295681
0914
18014
295614
01246
114934
2209334
05489029
114358143
261118135
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 331 to 262 computations (20.8% saved)

end0.0ms (0%)

preprocess43.0ms (0.6%)

Compiler

Compiled 56 to 46 computations (17.9% saved)

Profiling

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