Logistic regression 2

Time bar (total: 9.2s)

analyze85.0ms (0.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample3.6s (39.6%)

Results
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
2.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
2.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms1024valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
1.0ms8192exit
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
2.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256infinite
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
2.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
1.0ms8192exit
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256infinite
2.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
2.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
2.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
2.0ms8192exit
1.0ms8192exit
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
4.0ms8192exit
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
1.0ms8192exit
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
2.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
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0.0ms256valid
1.0ms256valid
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0.0ms256valid
0.0ms256infinite
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
2.0ms8192exit
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
2.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
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0.0ms256valid
0.0ms256valid
6.0ms256valid
1.0ms8192exit
0.0ms256infinite
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0.0ms256infinite
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
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1.0ms8192exit
0.0ms256valid
0.0ms256infinite
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1.0ms8192exit
0.0ms256infinite
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1.0ms8192exit
0.0ms256infinite
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1.0ms8192exit
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0.0ms256infinite
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0.0ms512valid
0.0ms256valid
1.0ms8192exit
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1.0ms8192exit
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1.0ms8192exit
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0.0ms256valid
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1.0ms8192exit
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1.0ms8192exit
0.0ms256valid
0.0ms1024valid
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1.0ms8192exit
0.0ms256infinite
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0.0ms256valid
0.0ms512valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
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0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
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1.0ms8192exit
0.0ms256infinite
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0.0ms1024valid
0.0ms256valid
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0.0ms256valid
0.0ms512valid
2.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256infinite
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1.0ms8192exit
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0.0ms256valid
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0.0ms256valid
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0.0ms256infinite
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1.0ms8192exit
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0.0ms256infinite
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0.0ms512valid
0.0ms256valid
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1.0ms8192exit
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0.0ms256valid
0.0ms256infinite
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0.0ms512valid
2.0ms8192exit
1.0ms8192exit
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0.0ms256infinite
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0.0ms512valid
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1.0ms8192exit
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3.0ms8192exit
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0.0ms256valid
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1.0ms8192exit
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0.0ms256valid
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1.0ms8192exit
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0.0ms256infinite
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0.0ms256valid
0.0ms256valid
1.0ms8192exit
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0.0ms1024valid
2.0ms8192exit
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1.0ms8192exit
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1.0ms8192exit
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0.0ms256infinite
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1.0ms8192exit
0.0ms256valid
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1.0ms8192exit
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0.0ms256valid
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1.0ms8192exit
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0.0ms256valid
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0.0ms256valid
0.0ms256infinite
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0.0ms256valid
Bogosity

preprocess514.0ms (5.6%)

Algorithm
egg-herbie
Rules
1416×times-frac
1230×fma-neg
878×associate-*r/
788×associate-*l/
774×associate-/r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(log.f64 (+.f64 1 (exp.f64 x)))
00-0-x
00-0-(*.f64 x y)
00-0-(+.f64 1 (exp.f64 x))
00-0-(exp.f64 x)
00-0-(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
00-0-y
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3286210
4466210
5769210
61332210
72734210
87535210
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))
Compiler

Compiled 69 to 38 computations (44.9% saved)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize136.0ms (1.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
99.6%
(log1p.f64 (exp.f64 x))
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
99.6%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 36 to 9 computations (75% saved)

series72.0ms (0.8%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
31.0ms
x
@inf
(log1p.f64 (exp.f64 x))
25.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
5.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms
x
@0
(log1p.f64 (exp.f64 x))
1.0ms
x
@inf
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite273.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1856×prod-diff
686×log-prod
636×log1p-expm1-u
636×expm1-log1p-u
474×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01584
118176
2246676
Stop Event
node limit
Counts
4 → 361
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Outputs
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (exp.f64 (*.f64 x 2)) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (-.f64 1 (exp.f64 (*.f64 x 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y (neg.f64 x) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(+.f64 0 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
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(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (/.f64 (pow.f64 (*.f64 x y) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 (exp.f64 x) 1)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) 1)))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))

simplify302.0ms (3.3%)

Algorithm
egg-herbie
Rules
1230×fma-neg
808×unswap-sqr
730×distribute-lft-in
682×distribute-lft-neg-in
624×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051814955
1126114125
2352214078
Stop Event
node limit
Counts
433 → 255
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (exp.f64 (*.f64 x 2)) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (-.f64 1 (exp.f64 (*.f64 x 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
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(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 (exp.f64 x) 1)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) 1)))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (exp.f64 (*.f64 x 2)) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (*.f64 x 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 2) x))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 x y)))
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(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) -1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 (exp.f64 x) 1)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) 1)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))

eval114.0ms (1.2%)

Compiler

Compiled 5989 to 2046 computations (65.8% saved)

prune59.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2935298
Fresh000
Picked112
Done000
Total2946300
Accuracy
99.7%
Counts
300 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(fma.f64 x (neg.f64 y) (log.f64 2))
98.9%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
91.2%
(-.f64 (log.f64 2) (*.f64 x y))
86.7%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
52.4%
(*.f64 y (neg.f64 x))
Compiler

Compiled 101 to 76 computations (24.8% saved)

localize850.0ms (9.3%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (neg.f64 y) (log.f64 2))
100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
100.0%
(-.f64 (log.f64 2) (*.f64 x y))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
100.0%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
100.0%
(+.f64 1 (exp.f64 x))
98.3%
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
Compiler

Compiled 104 to 59 computations (43.3% saved)

series98.0ms (1.1%)

Counts
8 → 111
Calls

39 calls:

TimeVariablePointExpression
39.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
17.0ms
x
@inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms
y
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
4.0ms
x
@0
(sqrt.f64 (+.f64 1 (exp.f64 x)))
3.0ms
y
@inf
(fma.f64 x (neg.f64 y) (log.f64 2))

rewrite190.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1123×log1p-expm1-u
520×expm1-log1p-u
300×associate-*r*
177×add-exp-log
175×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026194
1392162
25669162
Stop Event
node limit
Counts
8 → 272
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(fma.f64 x (neg.f64 y) (log.f64 2))
Outputs
(+.f64 0 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 1 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (log1p.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 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.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 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.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 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)
(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 (exp.f64 1) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 2) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (exp.f64 x) 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 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (fma.f64 y x (*.f64 x y))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 y x (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 y x (*.f64 x y)) 1))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))))
(+.f64 (fma.f64 y x (*.f64 x y)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 y x (*.f64 x y)) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 y x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y)))) (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 y x (*.f64 x y))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 y x (*.f64 x y)))
(fma.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2 (*.f64 x y))
(fma.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 y x (*.f64 x y)))
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(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))
(+.f64 (log.f64 2) (*.f64 x y))
(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 y x (*.f64 x y)))
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(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
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(cbrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x y (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x y (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log.f64 2))) 1))

simplify187.0ms (2%)

Algorithm
egg-herbie
Rules
1096×fma-neg
848×log-prod
650×fma-define
544×associate-*r*
490×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057314417
1140812684
2553612670
Stop Event
node limit
Counts
383 → 365
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log.f64 2)) (pow.f64 (fma.f64 x y (log.f64 2)) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (fma.f64 x y (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log.f64 2))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2)) (neg.f64 (fma.f64 x y (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) y))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 (log.f64 2) x) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x y) (log.f64 2)))
(pow.f64 (fma.f64 x y (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x y (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x y (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log.f64 2))) 1))
Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 2) 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 x 1/4))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) 1/8 (/.f64 x 2)) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (*.f64 3 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)))))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (fma.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (*.f64 (pow.f64 x 2) 1/16)) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 x 1/4)))
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 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4))))))))
(fma.f64 1/3 (*.f64 (pow.f64 x 3) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (*.f64 3 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)))))) (fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))))))
(fma.f64 (*.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32)) 1/3 (fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 (pow.f64 x 3) (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
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(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(*.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 x (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 x (+.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(*.f64 x (/.f64 (+.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(*.f64 x (/.f64 (fma.f64 y y 1/4) (+.f64 1/2 y)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(*.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 x (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 (+.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(*.f64 x (/.f64 (+.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(*.f64 x (/.f64 (fma.f64 y y 1/4) (+.f64 1/2 y)))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(*.f64 x (+.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(*.f64 x (+.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(*.f64 x (+.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(*.f64 x (+.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))
(*.f64 x (+.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x y))
(fma.f64 x y (log.f64 2))
(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 x y (*.f64 2 (*.f64 x y))))
(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 x y (*.f64 2 (*.f64 x y))))
(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 x y (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 x y (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 x y (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(+.f64 (*.f64 x y) (log.f64 2))
(fma.f64 x y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log.f64 2)))) 1)
(expm1.f64 (log1p.f64 (fma.f64 x y (log.f64 2))))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 3) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log.f64 2))))) (/.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 y (fma.f64 x y (log.f64 2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log.f64 2))))
(*.f64 1 (fma.f64 x y (log.f64 2)))
(fma.f64 x y (log.f64 2))
(*.f64 (fma.f64 x y (log.f64 2)) 1)
(fma.f64 x y (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 2))
(fma.f64 x y (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 2) (cbrt.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(*.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (/.f64 1 (fma.f64 x y (log.f64 2))))
(/.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (fma.f64 x y (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 x y (log.f64 2))) (sqrt.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 y (fma.f64 x y (log.f64 2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 y (fma.f64 x y (log.f64 2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (fma.f64 x y (log.f64 2)) (pow.f64 (fma.f64 x y (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (/.f64 1 (fma.f64 x y (log.f64 2))))
(/.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (fma.f64 x y (log.f64 2)))
(/.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (fma.f64 x y (log.f64 2)))
(*.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (/.f64 1 (fma.f64 x y (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 y (fma.f64 x y (log.f64 2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 y (fma.f64 x y (log.f64 2)))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2)) (neg.f64 (fma.f64 x y (log.f64 2))))
(*.f64 1 (/.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (fma.f64 x y (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (*.f64 y (*.f64 x (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 (log.f64 2) x) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (*.f64 y (*.f64 x (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x y) (log.f64 2)))
(pow.f64 (fma.f64 x y (log.f64 2)) 1)
(fma.f64 x y (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 3)
(fma.f64 x y (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3) 1/3)
(fma.f64 x y (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x y (log.f64 2))) 2)
(fma.f64 x y (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2))
(fma.f64 x y (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) y)))
(fma.f64 x y (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log.f64 2)))))
(fma.f64 x y (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3))
(fma.f64 x y (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x y (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log.f64 2))) 1))
(fma.f64 x y (log.f64 2))

eval141.0ms (1.5%)

Compiler

Compiled 6602 to 4079 computations (38.2% saved)

prune59.0ms (0.6%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New3596365
Fresh000
Picked145
Done011
Total36011371
Accuracy
99.7%
Counts
371 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(fma.f64 x (neg.f64 y) (log.f64 2))
90.5%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
91.2%
(-.f64 (log.f64 2) (*.f64 x y))
86.7%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
48.9%
(+.f64 (log.f64 2) (*.f64 1/2 x))
47.7%
(+.f64 (log.f64 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
52.4%
(*.f64 y (neg.f64 x))
40.1%
(*.f64 x (-.f64 1/2 y))
49.0%
(log1p.f64 (exp.f64 x))
48.7%
(log.f64 2)
Compiler

Compiled 137 to 110 computations (19.7% saved)

localize332.0ms (3.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.6%
(log1p.f64 (exp.f64 x))
100.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
98.4%
(log.f64 (sqrt.f64 2))
Compiler

Compiled 62 to 43 computations (30.6% saved)

series11.0ms (0.1%)

Counts
3 → 27
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
2.0ms
y
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
1.0ms
y
@inf
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
1.0ms
x
@inf
(+.f64 (log.f64 2) (*.f64 1/2 x))
1.0ms
x
@inf
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))

rewrite135.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1318×fma-define
1086×log1p-expm1-u
1086×expm1-log1p-u
576×fma-neg
188×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01862
123648
2332348
Stop Event
node limit
Counts
3 → 213
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 2))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
Outputs
(+.f64 0 (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(*.f64 1/2 (log.f64 2))
(*.f64 1 (log.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(pow.f64 (log.f64 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))
(log1p.f64 (-.f64 (sqrt.f64 2) 1))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 2))) 1))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (+.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log.f64 2) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (neg.f64 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
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(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 2))) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 2))) (neg.f64 (-.f64 (*.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 (*.f64 2 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 2 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (*.f64 2 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (log.f64 (sqrt.f64 2))) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 2 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (log.f64 (sqrt.f64 2))) (neg.f64 (-.f64 (*.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x 1/2))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (*.f64 x 1/2) 1 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 x 1/2))
(fma.f64 (*.f64 2 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 x 1/2))

simplify139.0ms (1.5%)

Algorithm
egg-herbie
Rules
1100×unswap-sqr
710×distribute-lft-in
664×fma-neg
658×distribute-rgt-in
644×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038710897
18949111
227127043
Stop Event
node limit
Counts
240 → 238
Calls
Call 1
Inputs
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 0 (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(*.f64 1/2 (log.f64 2))
(*.f64 1 (log.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(pow.f64 (log.f64 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))
(log1p.f64 (-.f64 (sqrt.f64 2) 1))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 2))) 1))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (+.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log.f64 2) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (neg.f64 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (fma.f64 x y (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3) (pow.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 3)) (+.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 2) (-.f64 (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))) (*.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 2) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y)))) (-.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (neg.f64 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 1))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (-.f64 (*.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (neg.f64 (-.f64 (*.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1 (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1 (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(fma.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1 (+.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (log.f64 2) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 2) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (log.f64 2) 1 (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (log.f64 2) 1 (neg.f64 (-.f64 (*.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 (neg.f64 y) x (log.f64 2))
(fma.f64 1 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
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(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 x 1/2))
(fma.f64 (*.f64 2 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 x 1/2))
Outputs
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 0 (log.f64 (sqrt.f64 2)))
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(*.f64 2 (*.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(log.f64 (sqrt.f64 2))
(*.f64 1/2 (log.f64 2))
(*.f64 2 (*.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(*.f64 1 (log.f64 (sqrt.f64 2)))
(log.f64 (sqrt.f64 2))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(log.f64 (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(pow.f64 (log.f64 (sqrt.f64 2)) 1)
(log.f64 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 3)
(log.f64 (sqrt.f64 2))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3) 1/3)
(log.f64 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2)
(log.f64 (sqrt.f64 2))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 2))
(log.f64 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3))
(log.f64 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))
(log1p.f64 (-.f64 (sqrt.f64 2) 1))
(log1p.f64 (+.f64 (sqrt.f64 2) -1))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 2))) 1))
(log.f64 (sqrt.f64 2))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (+.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 1 (fma.f64 x (neg.f64 y) (log.f64 2)))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(+.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (fma.f64 x y (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (fma.f64 x y (log.f64 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
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(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 2))) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 2))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2) (*.f64 x 1/2))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 x 1/2))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x 1/2))
(fma.f64 (*.f64 2 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (log.f64 (sqrt.f64 2))) (*.f64 x 1/2))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x 1/2))

eval94.0ms (1%)

Compiler

Compiled 4590 to 2708 computations (41% saved)

prune50.0ms (0.5%)

Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New3062308
Fresh011
Picked055
Done055
Total30613319
Accuracy
99.7%
Counts
319 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(fma.f64 x (neg.f64 y) (log.f64 2))
90.5%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
91.2%
(-.f64 (log.f64 2) (*.f64 x y))
86.7%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
48.9%
(+.f64 (log.f64 2) (*.f64 1/2 x))
47.7%
(+.f64 (log.f64 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
52.4%
(*.f64 y (neg.f64 x))
40.1%
(*.f64 x (-.f64 1/2 y))
2.6%
(*.f64 x (+.f64 1/2 y))
3.4%
(*.f64 x 1/2)
49.0%
(log1p.f64 (exp.f64 x))
48.7%
(log.f64 2)
Compiler

Compiled 101 to 79 computations (21.8% saved)

localize115.0ms (1.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (+.f64 y 1/2))
99.8%
(pow.f64 (*.f64 x (+.f64 y 1/2)) 3)
50.4%
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
100.0%
(*.f64 x (+.f64 1/2 y))
Compiler

Compiled 60 to 42 computations (30% saved)

series23.0ms (0.2%)

Counts
4 → 84
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
2.0ms
y
@0
(*.f64 x (+.f64 y 1/2))
2.0ms
x
@inf
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
1.0ms
x
@-inf
(pow.f64 (*.f64 x (+.f64 y 1/2)) 3)
1.0ms
y
@0
(pow.f64 (*.f64 x (+.f64 y 1/2)) 3)

rewrite129.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1572×unpow-prod-down
726×prod-diff
714×log1p-expm1-u
714×expm1-log1p-u
666×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01682
120282
2215082
Stop Event
node limit
Counts
4 → 306
Calls
Call 1
Inputs
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 3)
(*.f64 x (+.f64 y 1/2))
Outputs
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 0 (*.f64 x (+.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 x 1/2) 1))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x y) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x 1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x 1/2) (*.f64 x 1/2) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (-.f64 (*.f64 x y) (*.f64 x 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1/4) (*.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1/4) (*.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 x y))
(fma.f64 (*.f64 x y) 1 (*.f64 (*.f64 x 1/2) 1))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 (*.f64 x y) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x 1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 0 (*.f64 x (+.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 x 1/2) 1))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x y) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.f64 (*.f64 x (+.f64 1/2 y)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 x (+.f64 1/2 y)))
(*.f64 (cbrt.f64 (+.f64 1/2 y)) (pow.f64 (*.f64 x (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 y)) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1/2 y)) x) 1))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (+.f64 1/2 y) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) (+.f64 1/2 y)) 1))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 (sqrt.f64 (+.f64 1/2 y)) x))
(*.f64 (sqrt.f64 (+.f64 1/2 y)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1/2 y)) x) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1/2 y)) 1))
(*.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3)) (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(*.f64 (*.f64 (+.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 1/3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(*.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3)) 1) (pow.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3)) 1))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) 1) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 y))) 1) (sqrt.f64 (+.f64 1/2 y)))
(*.f64 (pow.f64 (*.f64 (+.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (+.f64 1/2 y) (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) x) 1/3) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (+.f64 1/2 y)) 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2)) 1/3) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 1/3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x 1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x 1/2) (*.f64 x 1/2) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (-.f64 (*.f64 x y) (*.f64 x 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1/4) (*.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1/4) (*.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 1))
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(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x 1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))

simplify178.0ms (1.9%)

Algorithm
egg-herbie
Rules
1144×associate-*r*
1110×associate-*l*
1056×exp-prod
928×cube-prod
770×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048211397
1128911058
2518210852
Stop Event
node limit
Counts
390 → 262
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (+.f64 1/2 y))))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (+.f64 1/2 y))))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (+.f64 1/2 y))))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (+.f64 1/2 y))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 y (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3)))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 y (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))))))
(*.f64 (pow.f64 x 3) (pow.f64 y 3))
(+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))))
(+.f64 (*.f64 y (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3)))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 y (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))))))
(*.f64 (pow.f64 x 3) (pow.f64 y 3))
(+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 3))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 3))))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))))))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 0 (*.f64 x (+.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 x 1/2) 1))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x y) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x 1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x 1/2) (*.f64 x 1/2) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (-.f64 (*.f64 x y) (*.f64 x 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1/4) (*.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1/4) (*.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 x y))
(fma.f64 (*.f64 x y) 1 (*.f64 (*.f64 x 1/2) 1))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 (*.f64 x y) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x 1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 0 (*.f64 x (+.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 x 1/2) 1))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x y) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.f64 (*.f64 x (+.f64 1/2 y)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 x (+.f64 1/2 y)))
(*.f64 (cbrt.f64 (+.f64 1/2 y)) (pow.f64 (*.f64 x (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 y)) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1/2 y)) x) 1))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (+.f64 1/2 y) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) (+.f64 1/2 y)) 1))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 (sqrt.f64 (+.f64 1/2 y)) x))
(*.f64 (sqrt.f64 (+.f64 1/2 y)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1/2 y)) x) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1/2 y)) 1))
(*.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3)) (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(*.f64 (*.f64 (+.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 1/3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(*.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3)) 1) (pow.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3)) 1))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) 1) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 y))) 1) (sqrt.f64 (+.f64 1/2 y)))
(*.f64 (pow.f64 (*.f64 (+.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (+.f64 1/2 y) (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) x) 1/3) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (+.f64 1/2 y)) 1/3) (cbrt.f64 x))
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(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1/4) (*.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1/4) (*.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 x y))
(fma.f64 (*.f64 x y) 1 (*.f64 (*.f64 x 1/2) 1))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 (*.f64 x y) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x 1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (+.f64 1/2 y))))
(neg.f64 (*.f64 x (*.f64 (+.f64 1/2 y) (cbrt.f64 -1))))
(*.f64 x (neg.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (+.f64 1/2 y))))
(neg.f64 (*.f64 x (*.f64 (+.f64 1/2 y) (cbrt.f64 -1))))
(*.f64 x (neg.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (+.f64 1/2 y))))
(neg.f64 (*.f64 x (*.f64 (+.f64 1/2 y) (cbrt.f64 -1))))
(*.f64 x (neg.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (+.f64 1/2 y))))
(neg.f64 (*.f64 x (*.f64 (+.f64 1/2 y) (cbrt.f64 -1))))
(*.f64 x (neg.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 -1))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 3)
(*.f64 1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/8)
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 y (*.f64 (pow.f64 x 3) 3/4)))
(fma.f64 y (*.f64 (pow.f64 x 3) 3/4) (*.f64 (pow.f64 x 3) 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 y (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3)))))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 y (*.f64 (pow.f64 x 3) 3/4) (*.f64 (pow.f64 y 2) (*.f64 3/2 (pow.f64 x 3)))))
(fma.f64 (pow.f64 x 3) 1/8 (fma.f64 y (*.f64 (pow.f64 x 3) 3/4) (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 3) 3/2))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 y (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))))))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 y (*.f64 (pow.f64 x 3) 3/4) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 3/2 (pow.f64 x 3))) (pow.f64 (*.f64 x y) 3))))
(fma.f64 (pow.f64 x 3) 1/8 (fma.f64 y (*.f64 (pow.f64 x 3) 3/4) (fma.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 3) 3/2) (pow.f64 (*.f64 x y) 3))))
(*.f64 (pow.f64 x 3) (pow.f64 y 3))
(pow.f64 (*.f64 x y) 3)
(+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))))
(+.f64 (*.f64 (pow.f64 y 2) (*.f64 3/2 (pow.f64 x 3))) (pow.f64 (*.f64 x y) 3))
(fma.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 3) 3/2) (pow.f64 (*.f64 x y) 3))
(+.f64 (*.f64 y (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3)))))
(fma.f64 y (*.f64 (pow.f64 x 3) 3/4) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 3/2 (pow.f64 x 3))) (pow.f64 (*.f64 x y) 3)))
(fma.f64 y (*.f64 (pow.f64 x 3) 3/4) (fma.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 3) 3/2) (pow.f64 (*.f64 x y) 3)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 y (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))))))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 y (*.f64 (pow.f64 x 3) 3/4) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 3/2 (pow.f64 x 3))) (pow.f64 (*.f64 x y) 3))))
(fma.f64 (pow.f64 x 3) 1/8 (fma.f64 y (*.f64 (pow.f64 x 3) 3/4) (fma.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 3) 3/2) (pow.f64 (*.f64 x y) 3))))
(*.f64 (pow.f64 x 3) (pow.f64 y 3))
(pow.f64 (*.f64 x y) 3)
(+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))))
(+.f64 (*.f64 (pow.f64 y 2) (*.f64 3/2 (pow.f64 x 3))) (pow.f64 (*.f64 x y) 3))
(fma.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 3) 3/2) (pow.f64 (*.f64 x y) 3))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 3))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3)))))
(fma.f64 -1 (*.f64 y (*.f64 (pow.f64 x 3) -3/4)) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 3/2 (pow.f64 x 3))) (pow.f64 (*.f64 x y) 3)))
(-.f64 (fma.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 3) 3/2) (pow.f64 (*.f64 x y) 3)) (*.f64 y (*.f64 (pow.f64 x 3) -3/4)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 3))))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))))))
(fma.f64 -1 (*.f64 y (*.f64 (pow.f64 x 3) -3/4)) (+.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3)) (*.f64 (pow.f64 y 2) (*.f64 3/2 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 3) 3/2)) (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3)))) (*.f64 y (*.f64 (pow.f64 x 3) -3/4)))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 0 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 x 1/2) 1))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x y) 1))
(*.f64 x (+.f64 1/2 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))
(*.f64 x (+.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 (*.f64 1/2 x) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (pow.f64 x 2) (pow.f64 y 2) (*.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 1/2 y))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x 1/2) (*.f64 x 1/2) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 x y) (*.f64 x (-.f64 y 1/2)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (*.f64 y (pow.f64 x 2)) (+.f64 y -1/2))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (-.f64 (*.f64 x y) (*.f64 x 1/2)))
(/.f64 (*.f64 (*.f64 x (+.f64 1/2 y)) (*.f64 x (-.f64 y 1/2))) (*.f64 x (-.f64 y 1/2)))
(/.f64 (*.f64 (pow.f64 x 2) (-.f64 (pow.f64 y 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (*.f64 (pow.f64 x 2) (fma.f64 y y -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 x (+.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 x (-.f64 1/2 y)))
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(*.f64 x (+.f64 1/2 y))
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eval111.0ms (1.2%)

Compiler

Compiled 4878 to 3682 computations (24.5% saved)

prune50.0ms (0.5%)

Pruning

14 alts after pruning (2 fresh and 12 done)

PrunedKeptTotal
New2602262
Fresh000
Picked123
Done01010
Total26114275
Accuracy
99.7%
Counts
275 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(fma.f64 x (neg.f64 y) (log.f64 2))
90.5%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
91.2%
(-.f64 (log.f64 2) (*.f64 x y))
86.7%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
48.9%
(+.f64 (log.f64 2) (*.f64 1/2 x))
54.3%
(+.f64 (log.f64 2) (cbrt.f64 (*.f64 (pow.f64 x 3) 1/8)))
52.4%
(*.f64 y (neg.f64 x))
40.1%
(*.f64 x (-.f64 1/2 y))
2.6%
(*.f64 x (+.f64 1/2 y))
2.2%
(*.f64 x y)
3.4%
(*.f64 x 1/2)
49.0%
(log1p.f64 (exp.f64 x))
48.7%
(log.f64 2)
Compiler

Compiled 221 to 152 computations (31.2% saved)

regimes36.0ms (0.4%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 x y)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 2) (cbrt.f64 (*.f64 (pow.f64 x 3) 1/8)))
(+.f64 (log.f64 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

18.0ms
x
10.0ms
y
6.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes24.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 x y)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

9.0ms
x
8.0ms
y
6.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes23.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 x y)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

2 calls:

14.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
99.3%2x
91.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 x y)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
98.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.4%)

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

2 calls:

26.0ms
y
12.0ms
x
Results
AccuracySegmentsBranch
79.2%5y
85.4%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
85.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 x y)
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
Outputs
(*.f64 y (neg.f64 x))
Calls

2 calls:

5.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
52.4%1y
52.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -1.1b remaining (-1.8%)

Threshold costs -1.1b (-1.8%)

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

2 calls:

4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
3.4%1x
3.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
-2.2950780694833133e+21
-1.388713459888133e+21
Results
5.0ms33×256valid
6.0ms12×1024valid
1.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
2.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256infinite
Compiler

Compiled 88 to 68 computations (22.7% saved)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-2.2950780694833133e+21
-1.388713459888133e+21
Results
4.0ms29×256valid
7.0ms16×1024valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
Compiler

Compiled 80 to 60 computations (25% saved)

bsearch29.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
-1.1291948356470087e-66
-2.41996589096092e-77
Results
25.0ms144×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 176 to 142 computations (19.3% saved)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-1.1291948356470087e-66
-2.41996589096092e-77
Results
21.0ms144×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 136 to 112 computations (17.6% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×+-commutative
14×*-commutative
12×sub-neg
cancel-sign-sub-inv
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040280
160280
273280
377280
478280
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -1400000000000000000000) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1400000000000000000000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -3490733165718107/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 1/2 x)))
(if (<=.f64 x -8742010015015781/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -1400000000000000000000) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1400000000000000000000) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1400000000000000000000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -1400000000000000000000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -3490733165718107/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 1/2 x)))
(if (<=.f64 x -3490733165718107/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -3490733165718107/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -8742010015015781/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -8742010015015781/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)
Compiler

Compiled 91 to 65 computations (28.6% saved)

soundness748.0ms (8.2%)

Rules
1416×times-frac
1416×times-frac
1230×fma-neg
1230×fma-neg
1230×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3286210
4466210
5769210
61332210
72734210
87535210
030234
173226
2129210
3286210
4466210
5769210
61332210
72734210
87535210
038710897
18949111
227127043
051814955
1126114125
2352214078
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 113 to 62 computations (45.1% saved)

end0.0ms (0%)

preprocess80.0ms (0.9%)

Compiler

Compiled 232 to 134 computations (42.2% saved)

Profiling

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