Logistic regression 2

Time bar (total: 12.1s)

analyze88.0ms (0.7%)

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)

sample4.1s (33.9%)

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

preprocess483.0ms (4%)

Algorithm
egg-herbie
Rules
1542×times-frac
1432×fma-neg
700×fma-define
552×cancel-sign-sub-inv
478×swap-sqr
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
80-0-(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
4468210
5771210
61325210
72777210
85722210
97859210
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
97.3%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
97.3%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize135.0ms (1.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
97.3%
(log1p.f64 (exp.f64 x))
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
97.3%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 36 to 9 computations (75% saved)

series75.0ms (0.6%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
30.0ms
x
@inf
(log1p.f64 (exp.f64 x))
23.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
7.0ms
x
@inf
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
4.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms
x
@0
(log1p.f64 (exp.f64 x))

rewrite520.0ms (4.3%)

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
2245876
Stop Event
node limit
Counts
4 → 367
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 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (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 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(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)))))
(+.f64 (fma.f64 1 (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)))))
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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 (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 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1) 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))

simplify206.0ms (1.7%)

Algorithm
egg-herbie
Rules
1220×fma-neg
812×unswap-sqr
722×distribute-lft-in
596×distribute-lft-neg-in
596×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052415055
1126714225
2348414178
Stop Event
node limit
Counts
439 → 257
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 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (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 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
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(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 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1) 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 y (neg.f64 x))
(*.f64 x (neg.f64 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 (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 y (neg.f64 x))
(*.f64 x (neg.f64 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 (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 y (neg.f64 x))
(*.f64 x (neg.f64 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 (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 y (neg.f64 x))
(*.f64 x (neg.f64 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 (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 y (neg.f64 x))
(*.f64 x (neg.f64 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 (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 y (neg.f64 x))
(*.f64 x (neg.f64 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 (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 y (neg.f64 x))
(*.f64 x (neg.f64 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 (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 y (neg.f64 x))
(*.f64 x (neg.f64 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 (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 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.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 x) 2) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.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 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (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 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 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 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(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)))
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(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(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 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1) 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)))

eval73.0ms (0.6%)

Compiler

Compiled 6014 to 2051 computations (65.9% saved)

prune48.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2966302
Fresh000
Picked112
Done000
Total2977304
Accuracy
98.4%
Counts
304 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(fma.f64 x (neg.f64 y) (log.f64 2))
96.5%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
97.3%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
86.9%
(-.f64 (log.f64 2) (*.f64 x y))
67.4%
(+.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)))))
82.6%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
46.8%
(*.f64 y (neg.f64 x))
Compiler

Compiled 145 to 112 computations (22.8% saved)

localize599.0ms (4.9%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (neg.f64 y) (log.f64 2))
100.0%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(-.f64 (log.f64 2) (*.f64 x y))
100.0%
(+.f64 1 (exp.f64 x))
100.0%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
96.4%
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
Compiler

Compiled 104 to 59 computations (43.3% saved)

series91.0ms (0.7%)

Counts
8 → 111
Calls

39 calls:

TimeVariablePointExpression
37.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
16.0ms
x
@inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms
x
@-inf
(*.f64 x (-.f64 1/2 y))
4.0ms
y
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
3.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))

rewrite184.0ms (1.5%)

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
25654162
Stop Event
node limit
Counts
8 → 272
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
(+.f64 1 (exp.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.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 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (exp.f64 1) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.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)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 y x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
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(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))

simplify211.0ms (1.7%)

Algorithm
egg-herbie
Rules
1054×fma-neg
848×log-prod
642×fma-define
542×associate-*r*
494×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057414538
1139112688
2541912670
Stop Event
node limit
Counts
383 → 368
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))))
(+.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 (*.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))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(*.f64 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)))
(+.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)))))))
(+.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))))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.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 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (exp.f64 1) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(+.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))))
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(*.f64 1 (fma.f64 x y (log.f64 2)))
(*.f64 (fma.f64 x y (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 2) (cbrt.f64 (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 (sqrt.f64 (fma.f64 x y (log.f64 2))) (sqrt.f64 (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 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.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 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 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 (log.f64 (sqrt.f64 2)) (+.f64 (/.f64 x 4) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32)) (*.f64 (pow.f64 x 2) 1/16))))
(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 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 2) (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(*.f64 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 x (neg.f64 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 (*.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 x (neg.f64 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 (*.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 x (neg.f64 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 (*.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 x (neg.f64 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 (*.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))
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 x (+.f64 2 (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(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 x (neg.f64 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 (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 x (neg.f64 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 (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 x (neg.f64 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 (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 x (neg.f64 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 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (*.f64 x y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (*.f64 x y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (*.f64 x y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(fma.f64 -1 (*.f64 x y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
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(*.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 1/2 y)) 3)) (fma.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (*.f64 x (+.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 1/2 y)) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3) 1/3)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (+.f64 y 1/2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 y 1/2) x (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(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 (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 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) 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 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) 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 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) 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 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) 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))

eval145.0ms (1.2%)

Compiler

Compiled 6658 to 4115 computations (38.2% saved)

prune64.0ms (0.5%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New35810368
Fresh011
Picked145
Done011
Total35916375
Accuracy
98.4%
Counts
375 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(fma.f64 x (neg.f64 y) (log.f64 2))
86.1%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
97.3%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
86.9%
(-.f64 (log.f64 2) (*.f64 x y))
52.1%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3))
67.4%
(+.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)))))
82.6%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
53.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
51.7%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))))
26.3%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2)))))
52.1%
(+.f64 (log.f64 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
46.8%
(*.f64 y (neg.f64 x))
53.0%
(log1p.f64 (exp.f64 x))
53.0%
(log.f64 2)
51.7%
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
51.7%
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
Compiler

Compiled 285 to 234 computations (17.9% saved)

localize547.0ms (4.5%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (+.f64 y 1/2))
100.0%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3))
99.2%
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
96.4%
(cbrt.f64 (*.f64 x (+.f64 y 1/2)))
100.0%
(*.f64 x (+.f64 y 1/2))
100.0%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))))
99.2%
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
97.0%
(log1p.f64 (*.f64 x (+.f64 y 1/2)))
97.3%
(log1p.f64 (exp.f64 x))
100.0%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
98.9%
(log.f64 (sqrt.f64 2))
Compiler

Compiled 114 to 81 computations (28.9% saved)

series60.0ms (0.5%)

Counts
10 → 161
Calls

54 calls:

TimeVariablePointExpression
7.0ms
y
@0
(*.f64 x (+.f64 y 1/2))
4.0ms
x
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
4.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
2.0ms
y
@0
(cbrt.f64 (*.f64 x (+.f64 y 1/2)))
2.0ms
y
@0
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3))

rewrite183.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
944×log1p-expm1-u
943×expm1-log1p-u
856×fma-neg
246×associate-*r*
152×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025222
1348204
24527204
Stop Event
node limit
Counts
10 → 391
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 2))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(log1p.f64 (*.f64 x (+.f64 y 1/2)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))))
(*.f64 x (+.f64 y 1/2))
(cbrt.f64 (*.f64 x (+.f64 y 1/2)))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3))
(*.f64 x (+.f64 y 1/2))
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)
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(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2))))
(pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (+.f64 y 1/2) x (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (log.f64 2))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x 1/2) 1))
(+.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1)
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (-.f64 (*.f64 x y) (*.f64 x 1/2)))
(/.f64 (fma.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1) (+.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) x) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) -1)

simplify362.0ms (3%)

Algorithm
egg-herbie
Rules
1766×fma-neg
1100×fma-define
1096×associate-*r*
978×associate-*l*
490×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070121967
1196420320
2778520316
Stop Event
node limit
Counts
552 → 408
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))))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2))) (*.f64 x (+.f64 1/2 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))) (*.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 1/2 y) 4))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))) (*.f64 x (+.f64 1/2 y)))))
(+.f64 (log.f64 (+.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 x (+.f64 1/2 y)))))
(-.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 x (+.f64 1/2 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))))
(-.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))) (/.f64 1 (*.f64 x (+.f64 1/2 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))))
(+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 x (+.f64 1/2 y)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 x (+.f64 1/2 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))) (/.f64 1 (*.f64 x (+.f64 1/2 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))))
(log.f64 (+.f64 1 (*.f64 1/2 x)))
(+.f64 (log.f64 (+.f64 1 (*.f64 1/2 x))) (/.f64 (*.f64 x y) (+.f64 1 (*.f64 1/2 x))))
(+.f64 (log.f64 (+.f64 1 (*.f64 1/2 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2))) (/.f64 (*.f64 x y) (+.f64 1 (*.f64 1/2 x)))))
(+.f64 (log.f64 (+.f64 1 (*.f64 1/2 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (pow.f64 (+.f64 1 (*.f64 1/2 x)) 3))) (/.f64 (*.f64 x y) (+.f64 1 (*.f64 1/2 x))))))
(+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 1 (*.f64 x y)))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 1 (*.f64 x y))))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 3) (*.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 1 (*.f64 x y)))))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 y) (/.f64 1 (*.f64 x y)))))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 1 (*.f64 x y))))))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 3) (*.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 1 (*.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 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))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) (*.f64 x y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) (*.f64 x y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) (*.f64 x y)))
(*.f64 x y)
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) (*.f64 x y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) (*.f64 x y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) (*.f64 x y)))
(*.f64 x y)
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) (*.f64 x y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) (*.f64 x y)))
(+.f64 (log.f64 2) (+.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 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 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))))
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(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))))) 1)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 1)
(*.f64 1 (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 y 1/2)))
(*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 1/6) (pow.f64 (*.f64 x (+.f64 y 1/2)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 1/3))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) 1))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x 1/2) 1))
(+.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1)
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1)
(*.f64 x (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) x)
(*.f64 (*.f64 x (+.f64 y 1/2)) 1)
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(*.f64 1 (*.f64 x (+.f64 y 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (+.f64 y 1/2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 y 1/2)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y 1/2)))
(*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 1/6) (*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2)))
(*.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y 1/2)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) 2) 3) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 1/6) 3))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
(*.f64 (*.f64 (+.f64 y 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y 1/2) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) 1) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 x)) (cbrt.f64 (+.f64 y 1/2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 1/6)) (pow.f64 (*.f64 x (+.f64 y 1/2)) 1/6))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (-.f64 (*.f64 x y) (*.f64 x 1/2)))
(/.f64 (fma.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1) (+.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) x) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) -1)
(-.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))) (/.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) 1)
(*.f64 1 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))
(*.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2))))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2))))
(pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (+.f64 y 1/2) x (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (log.f64 2))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x 1/2) 1))
(+.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1)
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (-.f64 (*.f64 x y) (*.f64 x 1/2)))
(/.f64 (fma.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1) (+.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) x) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) -1)
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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2))) (*.f64 x (+.f64 1/2 y)))
(fma.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 y 1/2) 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 y 1/2) (*.f64 -1/2 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))) (*.f64 x (+.f64 1/2 y))))
(fma.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 y 1/2) 2)) (fma.f64 1/3 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (*.f64 x (+.f64 y 1/2))))
(fma.f64 -1/2 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (fma.f64 x (+.f64 y 1/2) (*.f64 1/3 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 1/2 y) 4))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3))) (*.f64 x (+.f64 1/2 y)))))
(fma.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 y 1/2) 2)) (fma.f64 -1/4 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 y 1/2) 4)) (fma.f64 1/3 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (*.f64 x (+.f64 y 1/2)))))
(fma.f64 -1/2 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (fma.f64 -1/4 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 y 1/2) 4)) (fma.f64 x (+.f64 y 1/2) (*.f64 1/3 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))))
(+.f64 (log.f64 (+.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 y 1/2)) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 x (+.f64 y 1/2)))
(+.f64 (log.f64 (+.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 x (+.f64 1/2 y)))))
(+.f64 (log.f64 (+.f64 y 1/2)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 (*.f64 x (+.f64 y 1/2)))))
(+.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (log.f64 (*.f64 x (+.f64 y 1/2))))
(-.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 x (+.f64 1/2 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))))
(+.f64 (log.f64 (+.f64 y 1/2)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 (*.f64 x (+.f64 y 1/2)))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 y 1/2) 2)))))
(+.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) (-.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (/.f64 1/2 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))) (/.f64 1 (*.f64 x (+.f64 1/2 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))))
(+.f64 (log.f64 (+.f64 y 1/2)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (/.f64 1/3 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 y 1/2) 2)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (log.f64 (*.f64 x (+.f64 y 1/2)))) (/.f64 1/3 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))) (/.f64 -1/2 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (+.f64 -1/2 (neg.f64 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (-.f64 -1/2 y)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 x (+.f64 1/2 y)))))
(+.f64 (log.f64 (+.f64 -1/2 (neg.f64 y))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 x (+.f64 y 1/2)))))
(+.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (-.f64 (log.f64 (-.f64 -1/2 y)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 x (+.f64 1/2 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))))
(-.f64 (+.f64 (log.f64 (+.f64 -1/2 (neg.f64 y))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 x (+.f64 y 1/2))))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 y 1/2) 2))))
(+.f64 (-.f64 (log.f64 (-.f64 -1/2 y)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (/.f64 -1/2 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))) (/.f64 1 (*.f64 x (+.f64 1/2 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))))
(+.f64 (log.f64 (+.f64 -1/2 (neg.f64 y))) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (/.f64 1/3 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 y 1/2) 2)))))
(+.f64 (log.f64 (-.f64 -1/2 y)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (/.f64 1/3 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))))
(log.f64 (+.f64 1 (*.f64 1/2 x)))
(log1p.f64 (*.f64 x 1/2))
(+.f64 (log.f64 (+.f64 1 (*.f64 1/2 x))) (/.f64 (*.f64 x y) (+.f64 1 (*.f64 1/2 x))))
(+.f64 (log1p.f64 (*.f64 x 1/2)) (/.f64 x (/.f64 (+.f64 1 (*.f64 x 1/2)) y)))
(+.f64 (log1p.f64 (*.f64 x 1/2)) (/.f64 y (/.f64 (fma.f64 x 1/2 1) x)))
(+.f64 (log.f64 (+.f64 1 (*.f64 1/2 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2))) (/.f64 (*.f64 x y) (+.f64 1 (*.f64 1/2 x)))))
(+.f64 (log1p.f64 (*.f64 x 1/2)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (+.f64 1 (*.f64 x 1/2)) 2)) (/.f64 x (/.f64 (+.f64 1 (*.f64 x 1/2)) y))))
(+.f64 (log1p.f64 (*.f64 x 1/2)) (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (fma.f64 x 1/2 1) 2)) (/.f64 y (/.f64 (fma.f64 x 1/2 1) x))))
(+.f64 (log.f64 (+.f64 1 (*.f64 1/2 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (pow.f64 (+.f64 1 (*.f64 1/2 x)) 3))) (/.f64 (*.f64 x y) (+.f64 1 (*.f64 1/2 x))))))
(+.f64 (log1p.f64 (*.f64 x 1/2)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (+.f64 1 (*.f64 x 1/2)) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (+.f64 1 (*.f64 x 1/2)) 3)) (/.f64 x (/.f64 (+.f64 1 (*.f64 x 1/2)) y)))))
(+.f64 (log1p.f64 (*.f64 x 1/2)) (fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (fma.f64 x 1/2 1) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 y (/.f64 (fma.f64 x 1/2 1) x)))))
(+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 x) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 1 (*.f64 x y)))))
(+.f64 (log.f64 x) (fma.f64 -1 (neg.f64 (log.f64 y)) (+.f64 (/.f64 1/2 y) (/.f64 1 (*.f64 x y)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 1 y) x) (+.f64 (log.f64 y) (/.f64 1/2 y))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 1 (*.f64 x y))))))
(+.f64 (log.f64 x) (fma.f64 -1 (neg.f64 (log.f64 y)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 1/2 y) (/.f64 1 (*.f64 x y))))))
(+.f64 (log.f64 y) (+.f64 (log.f64 x) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (/.f64 1/2 y) (/.f64 (/.f64 1 y) x)))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 3) (*.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 1 (*.f64 x y)))))))
(+.f64 (log.f64 x) (fma.f64 -1 (neg.f64 (log.f64 y)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (/.f64 1/2 y) (/.f64 1 (*.f64 x y)))))))
(+.f64 (+.f64 (log.f64 x) (log.f64 y)) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (/.f64 1/2 y) (/.f64 (/.f64 1 y) x)))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (/.f64 -1 y))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 y) (/.f64 1 (*.f64 x y)))))
(+.f64 (log.f64 (neg.f64 x)) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 y) (/.f64 1 (*.f64 x y)))))
(+.f64 (+.f64 (/.f64 1/2 y) (/.f64 (/.f64 1 y) x)) (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 1 (*.f64 x y))))))
(+.f64 (log.f64 (neg.f64 x)) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 1/2 y) (/.f64 1 (*.f64 x y))))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (/.f64 1/2 y) (/.f64 (/.f64 1 y) x))) (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 x)) 3) (*.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (/.f64 1 (*.f64 x y)))))))
(+.f64 (log.f64 (neg.f64 x)) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (/.f64 1/2 y) (/.f64 1 (*.f64 x y)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (/.f64 1/2 y) (/.f64 (/.f64 1 y) x)))) (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
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(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (-.f64 -1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (+.f64 (log.f64 2) (*.f64 x (-.f64 -1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2)))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (fma.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (+.f64 y 1/2) (neg.f64 (log.f64 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))
(pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3) 1/3)
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 2))
(fabs.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (+.f64 y 1/2) x (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 y 1/2) (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 y 1/2) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(*.f64 x (+.f64 y 1/2))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x 1/2) 1))
(*.f64 x (+.f64 y 1/2))
(+.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1)
(*.f64 x (+.f64 y 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 x (+.f64 y 1/2))
(-.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1)
(*.f64 x (+.f64 y 1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 (*.f64 x 1/2) (*.f64 x (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) 1) 3) -1) (fma.f64 (fma.f64 x (+.f64 y 1/2) 1) (fma.f64 x (+.f64 y 1/2) 1) (+.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (+.f64 y 1/2) 1) 3)) (fma.f64 (fma.f64 x (+.f64 y 1/2) 1) (fma.f64 x (+.f64 y 1/2) 1) (fma.f64 x (+.f64 y 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (-.f64 (*.f64 x y) (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 x (-.f64 y 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (fma.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1) (+.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) 1))
(/.f64 (fma.f64 (fma.f64 x (+.f64 y 1/2) 1) (fma.f64 x (+.f64 y 1/2) 1) -1) (+.f64 (*.f64 x (+.f64 y 1/2)) 2))
(/.f64 (*.f64 (fma.f64 x (+.f64 y 1/2) 2) (*.f64 x (+.f64 y 1/2))) (fma.f64 x (+.f64 y 1/2) 2))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))) x))
(*.f64 (/.f64 x (fma.f64 y y (+.f64 1/4 (*.f64 y -1/2)))) (+.f64 (pow.f64 y 3) 1/8))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 x (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))
(*.f64 (/.f64 x (+.f64 y -1/2)) (fma.f64 y y -1/4))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) x) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))) x))
(*.f64 (/.f64 x (fma.f64 y y (+.f64 1/4 (*.f64 y -1/2)))) (+.f64 (pow.f64 y 3) 1/8))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(/.f64 x (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))
(*.f64 (/.f64 x (+.f64 y -1/2)) (fma.f64 y y -1/4))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(*.f64 x (+.f64 y 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(*.f64 x (+.f64 y 1/2))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(*.f64 x (+.f64 y 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(*.f64 x (+.f64 y 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(fabs.f64 (*.f64 x (+.f64 y 1/2)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(*.f64 x (+.f64 y 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(*.f64 x (+.f64 y 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(*.f64 x (+.f64 y 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 y 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 y 1/2))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))
(*.f64 x (+.f64 y 1/2))
(fma.f64 x y (*.f64 x 1/2))
(*.f64 x (+.f64 y 1/2))
(fma.f64 y x (*.f64 x 1/2))
(*.f64 x (+.f64 y 1/2))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(*.f64 x (+.f64 y 1/2))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y 1/2)) 1) -1)
(*.f64 x (+.f64 y 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(*.f64 x (+.f64 y 1/2))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(*.f64 x (+.f64 y 1/2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) -1)
(*.f64 x (+.f64 y 1/2))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) -1)
(*.f64 x (+.f64 y 1/2))

eval287.0ms (2.4%)

Compiler

Compiled 10503 to 8030 computations (23.5% saved)

prune93.0ms (0.8%)

Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New4495454
Fresh426
Picked145
Done055
Total45416470
Accuracy
98.4%
Counts
470 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(fma.f64 x (neg.f64 y) (log.f64 2))
84.6%
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
86.1%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
97.3%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
86.9%
(-.f64 (log.f64 2) (*.f64 x y))
52.1%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3))
52.6%
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
82.6%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
53.2%
(+.f64 (log.f64 2) (*.f64 x 1/2))
1.3%
(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (log.f64 (*.f64 x (+.f64 y 1/2))))))
52.2%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
26.3%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2)))))
52.1%
(+.f64 (log.f64 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
46.8%
(*.f64 y (neg.f64 x))
53.0%
(log1p.f64 (exp.f64 x))
53.0%
(log.f64 2)
Compiler

Compiled 262 to 216 computations (17.6% saved)

localize516.0ms (4.2%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (+.f64 y 1/2))
100.0%
(+.f64 (log.f64 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
99.9%
(pow.f64 (*.f64 x (+.f64 y 1/2)) 3)
81.5%
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
100.0%
(*.f64 x (+.f64 y 1/2))
100.0%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2)))))
100.0%
(log.f64 (*.f64 x (+.f64 y 1/2)))
97.1%
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
100.0%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
99.9%
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
100.0%
(+.f64 (log.f64 2) (*.f64 x 1/2))
100.0%
(-.f64 (log.f64 2) (*.f64 x y))
99.5%
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
99.3%
(cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))
Compiler

Compiled 151 to 108 computations (28.5% saved)

series98.0ms (0.8%)

Counts
11 → 196
Calls

57 calls:

TimeVariablePointExpression
16.0ms
x
@inf
(log.f64 (*.f64 x (+.f64 y 1/2)))
15.0ms
x
@-inf
(log.f64 (*.f64 x (+.f64 y 1/2)))
15.0ms
x
@0
(log.f64 (*.f64 x (+.f64 y 1/2)))
5.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
3.0ms
y
@0
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))

rewrite234.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1115×log1p-expm1-u
796×expm1-log1p-u
268×associate-*r*
162×associate-*l*
156×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029244
1400228
24873228
Stop Event
node limit
Counts
11 → 397
Calls
Call 1
Inputs
(cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(log.f64 (*.f64 x (+.f64 y 1/2)))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 3)
(+.f64 (log.f64 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(*.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/6) (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
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(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 y 1/2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 y 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))) (/.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(*.f64 1 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))
(*.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))
(pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (+.f64 y 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (+.f64 y 1/2) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))

simplify312.0ms (2.6%)

Algorithm
egg-herbie
Rules
1288×fma-define
1222×fma-neg
700×*-commutative
582×log-prod
560×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081221377
1227220237
2676720229
Stop Event
node limit
Counts
593 → 451
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x y))) (pow.f64 (log.f64 2) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x y))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (pow.f64 (log.f64 2) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x y))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (pow.f64 (log.f64 2) 1/3))))
(pow.f64 (log.f64 2) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x y))) (pow.f64 (log.f64 2) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x y))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (pow.f64 (log.f64 2) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x y))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (pow.f64 (log.f64 2) 1/3))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(+.f64 (*.f64 x (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)))) (*.f64 (pow.f64 1 1/3) (log.f64 2)))
(+.f64 (*.f64 x (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)))) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 y 2))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 y 2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))))))))))
(+.f64 (*.f64 x (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) y)))) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 y 2))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 y 2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2)))))))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 y (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 y 2))))))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 y 3) (log.f64 2)))))))))))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)))) (*.f64 (pow.f64 1 1/3) (log.f64 2)))
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)))) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 x 2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2))))))))))
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) x)))) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 x 2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2)))))))) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 x 2))))))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 x 3) (log.f64 2)))))))))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.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 (log.f64 x) (log.f64 (+.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (+.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (+.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (+.f64 1/2 y)))
(+.f64 (log.f64 (+.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 -1 (+.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(log.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 2 y))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))
(pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (+.f64 y 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (+.f64 y 1/2) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(-.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 x 1/2) 1)) 1)
(*.f64 x (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) x)
(*.f64 (*.f64 x (+.f64 y 1/2)) 1)
(*.f64 1 (*.f64 x (+.f64 y 1/2)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 y 1/2)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y 1/2)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y 1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) 1/3) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (pow.f64 1 1/3) (*.f64 x (+.f64 y 1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3/2) 1/3))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
(*.f64 (*.f64 (+.f64 y 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y 1/2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 x y) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (*.f64 x y) (*.f64 x 1/2)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) x) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (+.f64 y 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 y 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 y 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 y 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 y 1/2)))) 1/3))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(+.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x y)) (*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x 1/2)))
(+.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (*.f64 (*.f64 x 1/2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))) 1)
(*.f64 x (*.f64 (+.f64 y 1/2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(*.f64 (+.f64 y 1/2) (*.f64 x (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(*.f64 (*.f64 x (+.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1)
(*.f64 1 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1/2) 3))
(*.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (+.f64 y 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3/2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) 3) (*.f64 x (+.f64 y 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 3) (pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) x) (+.f64 y 1/2))
(*.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (+.f64 y 1/2)) x)
(*.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) 1) (*.f64 x (+.f64 y 1/2)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2)) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (sqrt.f64 (*.f64 x (+.f64 y 1/2)))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 y 1/2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 y 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))) (/.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(*.f64 1 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))
(*.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))
(pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (+.f64 y 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (+.f64 y 1/2) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x y))) (pow.f64 (log.f64 2) 1/3))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 x y)) (cbrt.f64 (log.f64 2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x y))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (pow.f64 (log.f64 2) 1/3)))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 x y)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (cbrt.f64 (log.f64 2))))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 x y)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (pow.f64 (*.f64 x y) 2)) (cbrt.f64 (log.f64 2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x y))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 y 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))) (pow.f64 (log.f64 2) 1/3))))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 x y)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (pow.f64 x 3) (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 y 3)) (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 y 3)))))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 (pow.f64 x 2) (pow.f64 y 2))) (cbrt.f64 (log.f64 2)))))
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(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (fma.f64 x (*.f64 (+.f64 y 1/2) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (+.f64 (log.f64 2) (*.f64 x (-.f64 -1/2 y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (fma.f64 x (*.f64 (+.f64 y 1/2) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (+.f64 (log.f64 2) (*.f64 x (-.f64 -1/2 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (fma.f64 x (*.f64 (+.f64 y 1/2) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (+.f64 y 1/2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (-.f64 -1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (+.f64 (log.f64 2) (*.f64 x (-.f64 -1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 y 1/2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (fma.f64 x (*.f64 (+.f64 y 1/2) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 y 1/2)) (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 y 1/2)))))
(pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 1)
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 3)
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3) 1/3)
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 2)
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 2))
(fabs.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (+.f64 y 1/2)) x)))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2)) 3))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))) 1))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (+.f64 y 1/2) x (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 y 1/2) (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 y 1/2) (log.f64 2))

eval339.0ms (2.8%)

Compiler

Compiled 10743 to 8598 computations (20% saved)

prune124.0ms (1%)

Pruning

17 alts after pruning (6 fresh and 11 done)

PrunedKeptTotal
New5064510
Fresh022
Picked235
Done189
Total50917526
Accuracy
98.4%
Counts
526 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(fma.f64 x (neg.f64 y) (log.f64 2))
84.6%
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
86.1%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
97.3%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
86.9%
(-.f64 (log.f64 2) (*.f64 x y))
53.2%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
52.6%
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
82.6%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
53.2%
(+.f64 (log.f64 2) (*.f64 x 1/2))
1.3%
(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (log.f64 (*.f64 x (+.f64 y 1/2))))))
52.2%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
28.0%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x 1/2))))
56.1%
(+.f64 (log.f64 2) (cbrt.f64 (*.f64 (pow.f64 x 3) 1/8)))
46.8%
(*.f64 y (neg.f64 x))
3.7%
(*.f64 x 1/2)
53.0%
(log1p.f64 (exp.f64 x))
53.0%
(log.f64 2)
Compiler

Compiled 416 to 320 computations (23.1% saved)

regimes79.0ms (0.6%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.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) (exp.f64 (log.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 2) (cbrt.f64 (*.f64 (pow.f64 x 3) 1/8)))
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2)))))
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))))
(+.f64 (log.f64 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)))
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (*.f64 x (+.f64 y 1/2))) (log.f64 (*.f64 x (+.f64 y 1/2))))))
(+.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) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

47.0ms
y
23.0ms
x
8.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
97.3%1x
97.3%1y
97.3%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes28.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.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:

15.0ms
y
7.0ms
x
5.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
97.3%1x
97.3%1y
97.3%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes29.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.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:

21.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
98.1%2x
86.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
97.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes51.0ms (0.4%)

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

2 calls:

38.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
73.1%7y
85.0%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(log.f64 2)
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
84.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
46.8%1y
46.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

6.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
3.7%1y
3.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-168.58142047888714
-3.0354794059369356e-11
Results
18.0ms144×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
3.0ms256valid
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 196 to 152 computations (22.4% saved)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-168.58142047888714
-3.0354794059369356e-11
Results
19.0ms144×256valid
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
5.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 176 to 132 computations (25% saved)

bsearch5.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
-3.2170430438267798e-15
-2.9187019822704785e-15
Results
2.0ms16×256valid
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 48 to 38 computations (20.8% saved)

bsearch5.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
-3.2170430438267798e-15
-2.9187019822704785e-15
Results
2.0ms16×256valid
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 40 to 32 computations (20% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×+-commutative
14×*-commutative
12×sub-neg
cancel-sign-sub-inv
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042280
162280
275280
379280
480280
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 -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -21) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -237684487542793/79228162514264337593543950336) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 1/2 x)))
(if (<=.f64 x -3929716860707511/1267650600228229401496703205376) (*.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 -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -21) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -21) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -237684487542793/79228162514264337593543950336) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 1/2 x)))
(if (<=.f64 x -237684487542793/79228162514264337593543950336) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -237684487542793/79228162514264337593543950336) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -3929716860707511/1267650600228229401496703205376) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -3929716860707511/1267650600228229401496703205376) (*.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)

soundness1.6s (12.9%)

Rules
1766×fma-neg
1542×times-frac
1542×times-frac
1432×fma-neg
1432×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030234
173226
2129210
3286210
4468210
5771210
61325210
72777210
85722210
97859210
052415055
1126714225
2348414178
026194
1392162
25654162
070121967
1196420320
2778520316
081221377
1227220237
2676720229
030234
173226
2129210
3286210
4468210
5771210
61325210
72777210
85722210
97859210
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 258 to 173 computations (32.9% saved)

end0.0ms (0%)

preprocess86.0ms (0.7%)

Compiler

Compiled 232 to 134 computations (42.2% saved)

Profiling

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