Logistic regression 2

Time bar (total: 11.9s)

analyze203.0ms (1.7%)

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 (34.7%)

Results
0.0ms256infinite
1.0ms256infinite
1.0ms8192exit
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0.0ms256infinite
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0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
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1.0ms8192exit
1.0ms8192exit
0.0ms256infinite
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0.0ms256valid
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1.0ms8192exit
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1.0ms8192exit
0.0ms256valid
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1.0ms8192exit
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1.0ms8192exit
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1.0ms8192exit
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1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
2.0ms256infinite
1.0ms8192exit
0.0ms512valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms1024valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
19.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256infinite
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms8192exit
1.0ms8192exit
Bogosity

preprocess464.0ms (3.9%)

Algorithm
egg-herbie
Rules
1416×times-frac
1230×fma-neg
878×associate-*r/
788×associate-*l/
774×associate-/r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-0-(log.f64 (+.f64 1 (exp.f64 x)))
00-0-x
00-0-(*.f64 x y)
00-0-(+.f64 1 (exp.f64 x))
00-0-(exp.f64 x)
00-0-(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
00-0-y
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

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

Compiled 69 to 38 computations (44.9% saved)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
98.5%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize127.0ms (1.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
98.5%
(log1p.f64 (exp.f64 x))
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
98.5%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 36 to 9 computations (75% saved)

series66.0ms (0.6%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
29.0ms
x
@inf
(log1p.f64 (exp.f64 x))
22.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
8.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms
x
@0
(log1p.f64 (exp.f64 x))
1.0ms
y
@-inf
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite238.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1318×prod-diff
1208×unpow-prod-down
674×log-prod
638×log1p-expm1-u
638×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
113654
2176754
Stop Event
node limit
Counts
3 → 237
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x 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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.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 (*.f64 x (neg.f64 y)) 1 (*.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 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.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 (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 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 (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)))))
(+.f64 (fma.f64 1 (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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (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))))
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(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 1 (-.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)))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.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) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.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) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.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 (neg.f64 x) y (*.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 (*.f64 x (neg.f64 y)) 1 (*.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 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(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 (neg.f64 x) y (*.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 (*.f64 x (neg.f64 y)) 1 (*.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 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(+.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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))

simplify148.0ms (1.2%)

Algorithm
egg-herbie
Rules
1638×fma-neg
720×times-frac
600×log-prod
540×associate-*r*
510×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05029336
112479125
238729050
Stop Event
node limit
Counts
285 → 241
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)))
(+.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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
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(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.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)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.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))
(+.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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.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))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 7) (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.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 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
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(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))

eval79.0ms (0.7%)

Compiler

Compiled 5944 to 1972 computations (66.8% saved)

prune50.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2996305
Fresh000
Picked112
Done000
Total3007307
Accuracy
98.7%
Counts
307 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.9%
(fma.f64 x (neg.f64 y) (log.f64 2))
86.9%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
97.7%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
98.5%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
91.9%
(-.f64 (log.f64 2) (*.f64 x y))
86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
46.9%
(*.f64 x (neg.f64 y))
Compiler

Compiled 125 to 94 computations (24.8% saved)

localize743.0ms (6.2%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
100.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
100.0%
(-.f64 (log.f64 2) (*.f64 x y))
100.0%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
100.0%
(+.f64 1 (exp.f64 x))
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
97.8%
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
Compiler

Compiled 119 to 69 computations (42% saved)

series240.0ms (2%)

Counts
9 → 114
Calls

42 calls:

TimeVariablePointExpression
83.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
65.0ms
y
@inf
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
42.0ms
x
@inf
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
16.0ms
x
@inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms
y
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))

rewrite218.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1000×log1p-expm1-u
326×associate-*r*
240×prod-diff
202×expm1-log1p-u
200×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026220
1431188
26510188
Stop Event
node limit
Counts
9 → 360
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
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 (sqrt.f64 (+.f64 1 (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 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (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 (pow.f64 (exp.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 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (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 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 2) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 y (neg.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 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 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (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 (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 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.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 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.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)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.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 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.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 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.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))))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 x 1/2) (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (fma.f64 x 1/2 (log.f64 2)))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2))))) (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2))) (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (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 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x))))
(/.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 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 1 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))

simplify358.0ms (3%)

Algorithm
egg-herbie
Rules
1034×log-prod
980×fma-define
704×associate-*r*
672×associate-*l*
366×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072820390
1184817978
2730717972
Stop Event
node limit
Counts
474 → 460
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))))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 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))))))
(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)))
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(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 x 1/2) (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (fma.f64 x 1/2 (log.f64 2)))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2))))) (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2))) (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (*.f64 x y) (fma.f64 x 1/2 (log.f64 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (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 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x))))
(/.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 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 1 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
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 x 1/4))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) 1/8 (/.f64 x 2)) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (*.f64 3 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)))))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (fma.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (*.f64 (pow.f64 x 2) 1/16)) (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 x 1/4)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 (pow.f64 x 3) (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (fma.f64 (pow.f64 x 2) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 (pow.f64 x 3) (/.f64 7/96 (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 1/2 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)))))))
(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)))))))
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(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (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 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval310.0ms (2.6%)

Compiler

Compiled 8637 to 5370 computations (37.8% saved)

prune121.0ms (1%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New4519460
Fresh011
Picked145
Done011
Total45215467
Accuracy
98.7%
Counts
467 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.9%
(fma.f64 x (neg.f64 y) (log.f64 2))
85.1%
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3) (*.f64 x y))
86.9%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
98.5%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
91.9%
(-.f64 (log.f64 2) (*.f64 x y))
69.3%
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y))))
86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
53.6%
(+.f64 (log.f64 2) (*.f64 1/2 x))
42.9%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
36.3%
(*.f64 x (-.f64 1/2 y))
46.9%
(*.f64 x (neg.f64 y))
53.0%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
53.8%
(log1p.f64 (exp.f64 x))
52.6%
(log.f64 2)
66.1%
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
Compiler

Compiled 235 to 189 computations (19.6% saved)

localize410.0ms (3.4%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
100.0%
(*.f64 x (-.f64 1/2 y))
96.8%
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
93.9%
(log.f64 (*.f64 x (-.f64 1/2 y)))
100.0%
(pow.f64 y 2)
100.0%
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y))))
100.0%
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
89.4%
(/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y))
100.0%
(*.f64 x (-.f64 1/2 y))
Compiler

Compiled 130 to 92 computations (29.2% saved)

series119.0ms (1%)

Counts
7 → 132
Calls

36 calls:

TimeVariablePointExpression
66.0ms
x
@0
(log.f64 (*.f64 x (-.f64 1/2 y)))
17.0ms
x
@-inf
(log.f64 (*.f64 x (-.f64 1/2 y)))
7.0ms
x
@inf
(log.f64 (*.f64 x (-.f64 1/2 y)))
2.0ms
x
@inf
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y))))
2.0ms
y
@0
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))

rewrite165.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
967×log1p-expm1-u
967×expm1-log1p-u
882×fma-define
488×fma-neg
168×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023139
1344131
23997131
Stop Event
node limit
Counts
7 → 303
Calls
Call 1
Inputs
(/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y))))
(pow.f64 y 2)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
Outputs
(+.f64 1/2 (neg.f64 y))
(+.f64 1/2 (*.f64 (neg.f64 y) 1))
(+.f64 (/.f64 1/4 (+.f64 y 1/2)) (neg.f64 (/.f64 (pow.f64 y 2) (+.f64 y 1/2))))
(+.f64 (neg.f64 y) 1/2)
(-.f64 1/2 y)
(-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 (pow.f64 y 2) (+.f64 y 1/2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 y))) 1)
(-.f64 (/.f64 1/8 (fma.f64 y (+.f64 y 1/2) 1/4)) (/.f64 (pow.f64 y 3) (fma.f64 y (+.f64 y 1/2) 1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 1 (+.f64 y 1/2)))
(*.f64 (-.f64 1/2 y) 1)
(*.f64 1 (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (*.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (neg.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 1 (fma.f64 -1 y -1/2)))
(*.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 1 (fma.f64 y (+.f64 y 1/2) 1/4)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (-.f64 1/4 (pow.f64 y 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) 1) (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(pow.f64 (-.f64 1/2 y) 1)
(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 3)
(pow.f64 (pow.f64 (-.f64 1/2 y) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/2 y)) 2)
(pow.f64 (/.f64 1 (-.f64 1/2 y)) -1)
(neg.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (fma.f64 -1 y -1/2)))
(neg.f64 (/.f64 (neg.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(sqrt.f64 (pow.f64 (-.f64 1/2 y) 2))
(log.f64 (exp.f64 (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 y))))
(cbrt.f64 (pow.f64 (-.f64 1/2 y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 3) (pow.f64 (+.f64 y 1/2) 3)))
(expm1.f64 (log1p.f64 (-.f64 1/2 y)))
(log1p.f64 (expm1.f64 (-.f64 1/2 y)))
(exp.f64 (log.f64 (-.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1))
(fma.f64 1/4 (/.f64 1 (+.f64 y 1/2)) (neg.f64 (/.f64 (pow.f64 y 2) (+.f64 y 1/2))))
(fma.f64 1 (/.f64 1/4 (+.f64 y 1/2)) (neg.f64 (/.f64 (pow.f64 y 2) (+.f64 y 1/2))))
(fma.f64 1 (neg.f64 y) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (neg.f64 (cbrt.f64 y)) 1/2)
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) 1/2)
(fma.f64 -1 y 1/2)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) 1/2)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1/4 (+.f64 y 1/2))) (cbrt.f64 (/.f64 1/4 (+.f64 y 1/2)))) (cbrt.f64 (/.f64 1/4 (+.f64 y 1/2))) (neg.f64 (/.f64 (pow.f64 y 2) (+.f64 y 1/2))))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) 1/2)
(fma.f64 (sqrt.f64 (/.f64 1/4 (+.f64 y 1/2))) (sqrt.f64 (/.f64 1/4 (+.f64 y 1/2))) (neg.f64 (/.f64 (pow.f64 y 2) (+.f64 y 1/2))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1/2)
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) 1/2)
(fma.f64 (/.f64 1/4 (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y) (neg.f64 (/.f64 (pow.f64 y 2) (+.f64 y 1/2))))
(fma.f64 (/.f64 1/4 (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (neg.f64 (/.f64 (pow.f64 y 2) (+.f64 y 1/2))))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 (+.f64 y 1/2) (*.f64 (-.f64 1/4 (pow.f64 y 2)) x)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(/.f64 (neg.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x)) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (pow.f64 y 2)))) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y 1/2) 1/4))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 y 2))) x) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y 1/2) 1/4))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) 1) (+.f64 y 1/2))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 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)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (/.f64 1 (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 x 1) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y 2))) 1)
(*.f64 y y)
(*.f64 (pow.f64 y 2) 1)
(*.f64 1 (pow.f64 y 2))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y))
(*.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(sqrt.f64 (pow.f64 y 4))
(log.f64 (exp.f64 (pow.f64 y 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 y 2))))
(cbrt.f64 (pow.f64 y 6))
(expm1.f64 (log1p.f64 (pow.f64 y 2)))
(log1p.f64 (expm1.f64 (pow.f64 y 2)))
(exp.f64 (log.f64 (pow.f64 y 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y 2)) 1))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 0 (log.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (-.f64 1/2 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(-.f64 (log.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x)) (log.f64 (+.f64 y 1/2)))
(*.f64 1 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1)
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y))) (*.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)))) (-.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) -1))
(exp.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1))
(fma.f64 (log.f64 x) 1 (*.f64 (log.f64 (-.f64 1/2 y)) 1))
(fma.f64 1 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) (cbrt.f64 (log.f64 (-.f64 1/2 y)))) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (/.f64 1 (+.f64 y 1/2)))
(*.f64 (/.f64 x 1) (-.f64 1/2 y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 (+.f64 y 1/2) (*.f64 (-.f64 1/4 (pow.f64 y 2)) x)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(/.f64 (neg.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x)) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (pow.f64 y 2)))) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y 1/2) 1/4))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 y 2))) x) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y 1/2) 1/4))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) 1) (+.f64 y 1/2))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 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)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x) (log.f64 2))
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(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
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(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
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(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (/.f64 1 (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 x 1) (-.f64 1/2 y) (log.f64 2))
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(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log.f64 2))

simplify253.0ms (2.1%)

Algorithm
egg-herbie
Rules
1258×cancel-sign-sub-inv
788×fma-neg
788×log-prod
482×exp-prod
450×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051213612
1119512810
2420812790
Stop Event
node limit
Counts
435 → 322
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
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(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (/.f64 1 (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 x 1) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log.f64 2))
Outputs
1/2
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(*.f64 1/2 x)
(+.f64 (*.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))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.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))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.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))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 1/2 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(log.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y))
(+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2))
(fma.f64 y -2 (log.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -2 y) (*.f64 -2 (pow.f64 y 2))))
(+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 (+.f64 y (pow.f64 y 2))))
(fma.f64 -2 (+.f64 y (pow.f64 y 2)) (log.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -8/3 (pow.f64 y 3)) (+.f64 (*.f64 -2 y) (*.f64 -2 (pow.f64 y 2)))))
(+.f64 (log.f64 (*.f64 1/2 x)) (fma.f64 -8/3 (pow.f64 y 3) (*.f64 -2 (+.f64 y (pow.f64 y 2)))))
(+.f64 (log.f64 (*.f64 1/2 x)) (fma.f64 -2 (+.f64 y (pow.f64 y 2)) (*.f64 -8/3 (pow.f64 y 3))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 y))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y)))
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(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 1/2 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 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 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(fma.f64 x (-.f64 1/2 y) (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 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (*.f64 (/.f64 1 (+.f64 y 1/2)) x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))
(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 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (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 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (/.f64 1 (+.f64 y 1/2)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 x 1) (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log.f64 2))
(fma.f64 (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y (+.f64 y -1/2) 1/4) (log.f64 2))
(fma.f64 (fma.f64 y (+.f64 y -1/2) 1/4) (*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) 1/8))) (log.f64 2))

eval313.0ms (2.6%)

Compiler

Compiled 8029 to 5839 computations (27.3% saved)

prune108.0ms (0.9%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New4997506
Fresh145
Picked235
Done055
Total50219521
Accuracy
98.7%
Counts
521 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.9%
(fma.f64 x (neg.f64 y) (log.f64 2))
86.9%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
36.3%
(-.f64 (*.f64 x 1/2) (*.f64 x y))
98.5%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
91.9%
(-.f64 (log.f64 2) (*.f64 x y))
69.3%
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))))
86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
53.6%
(+.f64 (log.f64 2) (*.f64 1/2 x))
22.4%
(+.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2))))
28.5%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))
13.4%
(+.f64 (log.f64 2) (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))))
42.8%
(+.f64 (log.f64 2) (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3))))
36.3%
(*.f64 x (-.f64 1/2 y))
46.9%
(*.f64 x (neg.f64 y))
53.0%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
3.8%
(*.f64 1/2 x)
53.8%
(log1p.f64 (exp.f64 x))
52.6%
(log.f64 2)
66.1%
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
Compiler

Compiled 294 to 239 computations (18.7% saved)

localize606.0ms (5.1%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2))))
98.3%
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2)))
100.0%
(+.f64 1 (exp.f64 x))
99.6%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
98.3%
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
100.0%
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
100.0%
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))))
93.7%
(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))
Compiler

Compiled 137 to 92 computations (32.8% saved)

series121.0ms (1%)

Counts
5 → 108
Calls

27 calls:

TimeVariablePointExpression
59.0ms
x
@-inf
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2)))
16.0ms
x
@0
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2)))
12.0ms
x
@0
(+.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2))))
9.0ms
x
@inf
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2)))
8.0ms
y
@inf
(+.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2))))

rewrite181.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1367×log1p-expm1-u
280×associate-*r*
177×expm1-log1p-u
174×add-exp-log
174×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025189
1373118
25702118
Stop Event
node limit
Counts
5 → 162
Calls
Call 1
Inputs
(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2)))
(+.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2))))
Outputs
(+.f64 1/2 (neg.f64 y))
(+.f64 (/.f64 1/4 (+.f64 y 1/2)) (neg.f64 (/.f64 (pow.f64 y 2) (+.f64 y 1/2))))
(-.f64 1/2 y)
(-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 (pow.f64 y 2) (+.f64 y 1/2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 y))) 1)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 1 (+.f64 y 1/2)))
(*.f64 (-.f64 1/2 y) 1)
(*.f64 1 (-.f64 1/2 y))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (*.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (neg.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 1 (+.f64 (neg.f64 y) -1/2)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (-.f64 1/4 (pow.f64 y 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) 1) (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(pow.f64 (-.f64 1/2 y) 1)
(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 3)
(pow.f64 (pow.f64 (-.f64 1/2 y) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/2 y)) 2)
(pow.f64 (/.f64 1 (-.f64 1/2 y)) -1)
(neg.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 (neg.f64 y) -1/2)))
(neg.f64 (/.f64 (neg.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(sqrt.f64 (pow.f64 (-.f64 1/2 y) 2))
(log.f64 (exp.f64 (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 y))))
(cbrt.f64 (pow.f64 (-.f64 1/2 y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 3) (pow.f64 (+.f64 y 1/2) 3)))
(expm1.f64 (log1p.f64 (-.f64 1/2 y)))
(log1p.f64 (expm1.f64 (-.f64 1/2 y)))
(exp.f64 (log.f64 (-.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))) (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 (+.f64 y 1/2) (*.f64 (-.f64 1/4 (pow.f64 y 2)) x)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(/.f64 (neg.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x)) (+.f64 (neg.f64 y) -1/2))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (pow.f64 y 2)))) (+.f64 (neg.f64 y) -1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 y 2))) x) (+.f64 (neg.f64 y) -1/2))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) 1) (+.f64 y 1/2))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))) 1)
(*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))
(*.f64 x (*.f64 1/2 (pow.f64 (exp.f64 y) -2)))
(*.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2))
(*.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 1)
(*.f64 1 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(*.f64 (pow.f64 (exp.f64 y) -2) (*.f64 1/2 x))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (exp.f64 y) -2)))
(*.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 (exp.f64 y) -2)))
(pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 2)
(pow.f64 (exp.f64 1) (fma.f64 y -2 (log.f64 (*.f64 1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))) 2)) (cbrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x))))) (sqrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 y) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))) (/.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2) (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))))
(*.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 1)
(*.f64 1 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) (sqrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2)) (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2)))
(pow.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 y) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 1))
(fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(fma.f64 1 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (log.f64 2))

simplify153.0ms (1.3%)

Algorithm
egg-herbie
Rules
1386×cancel-sign-sub-inv
994×distribute-lft-neg-in
654×fma-neg
534×log-prod
442×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041811379
110329543
236789543
Stop Event
node limit
Counts
270 → 252
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(*.f64 -1 y)
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(*.f64 -1 y)
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(+.f64 (log.f64 2) (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.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 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(*.f64 -1 (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y))) (*.f64 -1/2 x))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 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))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 -2 y))))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 -2 y))))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 -2 y))))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 -2 y))))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/2 x) (*.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 -2/3 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 1/2 x) (*.f64 x (pow.f64 y 2)))))
(exp.f64 (-.f64 (log.f64 (*.f64 1/2 x)) (*.f64 2 y)))
(exp.f64 (-.f64 (log.f64 (*.f64 1/2 x)) (*.f64 2 y)))
(exp.f64 (-.f64 (log.f64 (*.f64 1/2 x)) (*.f64 2 y)))
(exp.f64 (-.f64 (log.f64 (*.f64 1/2 x)) (*.f64 2 y)))
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y)))
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y)))
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y)))
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y)))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 -2 y)))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 -2 y)))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 -2 y)))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 -2 y)))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 y) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (log.f64 2))
(+.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 (*.f64 1/2 x) (*.f64 x (pow.f64 y 2)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 -2/3 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 1/2 x) (*.f64 x (pow.f64 y 2))))))
(+.f64 (exp.f64 (-.f64 (log.f64 (*.f64 1/2 x)) (*.f64 2 y))) (log.f64 2))
(+.f64 (exp.f64 (-.f64 (log.f64 (*.f64 1/2 x)) (*.f64 2 y))) (log.f64 2))
(+.f64 (exp.f64 (-.f64 (log.f64 (*.f64 1/2 x)) (*.f64 2 y))) (log.f64 2))
(+.f64 (exp.f64 (-.f64 (log.f64 (*.f64 1/2 x)) (*.f64 2 y))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -2 y))) (log.f64 2))
(+.f64 1/2 (neg.f64 y))
(+.f64 (/.f64 1/4 (+.f64 y 1/2)) (neg.f64 (/.f64 (pow.f64 y 2) (+.f64 y 1/2))))
(-.f64 1/2 y)
(-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 (pow.f64 y 2) (+.f64 y 1/2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 y))) 1)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 1 (+.f64 y 1/2)))
(*.f64 (-.f64 1/2 y) 1)
(*.f64 1 (-.f64 1/2 y))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (*.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (neg.f64 (-.f64 1/4 (pow.f64 y 2))) (/.f64 1 (+.f64 (neg.f64 y) -1/2)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (-.f64 1/4 (pow.f64 y 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (pow.f64 y 2)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 y 2))) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) 1) (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 y 2))) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(pow.f64 (-.f64 1/2 y) 1)
(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 3)
(pow.f64 (pow.f64 (-.f64 1/2 y) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/2 y)) 2)
(pow.f64 (/.f64 1 (-.f64 1/2 y)) -1)
(neg.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 (neg.f64 y) -1/2)))
(neg.f64 (/.f64 (neg.f64 (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2)))
(sqrt.f64 (pow.f64 (-.f64 1/2 y) 2))
(log.f64 (exp.f64 (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 y))))
(cbrt.f64 (pow.f64 (-.f64 1/2 y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 3) (pow.f64 (+.f64 y 1/2) 3)))
(expm1.f64 (log1p.f64 (-.f64 1/2 y)))
(log1p.f64 (expm1.f64 (-.f64 1/2 y)))
(exp.f64 (log.f64 (-.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))) (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 (+.f64 y 1/2) (*.f64 (-.f64 1/4 (pow.f64 y 2)) x)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(/.f64 (neg.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x)) (+.f64 (neg.f64 y) -1/2))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (pow.f64 y 2)))) (+.f64 (neg.f64 y) -1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 y 2))) x) (+.f64 (neg.f64 y) -1/2))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) 1) (+.f64 y 1/2))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))) 1)
(*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))
(*.f64 x (*.f64 1/2 (pow.f64 (exp.f64 y) -2)))
(*.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2))
(*.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 1)
(*.f64 1 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(*.f64 (pow.f64 (exp.f64 y) -2) (*.f64 1/2 x))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (exp.f64 y) -2)))
(*.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 (exp.f64 y) -2)))
(pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 2)
(pow.f64 (exp.f64 1) (fma.f64 y -2 (log.f64 (*.f64 1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))) 2)) (cbrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x))))) (sqrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 y) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))) (/.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2) (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))))
(*.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 1)
(*.f64 1 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) (sqrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2)) (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2)))
(pow.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 y) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 1))
(fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(fma.f64 1 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (log.f64 2))
Outputs
1/2
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(+.f64 1/2 (*.f64 -1 y))
(-.f64 1/2 y)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) (log.f64 2))
(*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))))
(*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))))
(*.f64 (+.f64 -1/4 (pow.f64 y 2)) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (pow.f64 y 2) (+.f64 1/2 y)))))
(fma.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
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(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)))))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2)) 3))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))) 1))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(fma.f64 1 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))) (log.f64 2))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (log.f64 2))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2))))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (sqrt.f64 (*.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)))) (log.f64 2))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 x (pow.f64 (exp.f64 y) -2)) (log.f64 2))

eval144.0ms (1.2%)

Compiler

Compiled 6447 to 5070 computations (21.4% saved)

prune632.0ms (5.3%)

Pruning

23 alts after pruning (11 fresh and 12 done)

PrunedKeptTotal
New3786384
Fresh156
Picked145
Done088
Total38023403
Accuracy
98.7%
Counts
403 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.9%
(fma.f64 x (neg.f64 y) (log.f64 2))
86.9%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
36.3%
(-.f64 (*.f64 x 1/2) (*.f64 x y))
98.5%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
91.9%
(-.f64 (log.f64 2) (*.f64 x y))
22.4%
(+.f64 (log.f64 2) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))) 2)) (cbrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x))))))
50.8%
(+.f64 (log.f64 2) (+.f64 (*.f64 x (pow.f64 y 2)) (*.f64 x (-.f64 1/2 y))))
50.8%
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/2 x) (*.f64 x (pow.f64 y 2)))))
50.7%
(+.f64 (log.f64 2) (*.f64 (pow.f64 (exp.f64 y) -2) (*.f64 1/2 x)))
69.3%
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))))
86.9%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
53.6%
(+.f64 (log.f64 2) (*.f64 1/2 x))
28.5%
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))
13.4%
(+.f64 (log.f64 2) (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))))
42.8%
(+.f64 (log.f64 2) (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3))))
36.3%
(*.f64 x (-.f64 1/2 y))
46.9%
(*.f64 x (neg.f64 y))
53.0%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
3.8%
(*.f64 1/2 x)
53.8%
(log1p.f64 (exp.f64 x))
52.6%
(log.f64 2)
66.1%
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
43.2%
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
Compiler

Compiled 551 to 411 computations (25.4% saved)

regimes124.0ms (1%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.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 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (pow.f64 y 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/2 x) (*.f64 x (pow.f64 y 2)))))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (*.f64 (pow.f64 (exp.f64 y) -2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 y -2))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3) (*.f64 x y))
(+.f64 (log.f64 2) (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))))
(+.f64 (log.f64 2) (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3))))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 x) (pow.f64 (exp.f64 y) -2) (log.f64 2))))
(+.f64 (log.f64 2) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x)))) 2)) (cbrt.f64 (fma.f64 y -2 (log.f64 (*.f64 1/2 x))))))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

58.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
46.0ms
x
18.0ms
y
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes59.0ms (0.5%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.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 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (pow.f64 y 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/2 x) (*.f64 x (pow.f64 y 2)))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

43.0ms
x
9.0ms
y
6.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes24.0ms (0.2%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

2 calls:

16.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
97.9%2x
91.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
97.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes84.0ms (0.7%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
Calls

2 calls:

55.0ms
y
28.0ms
x
Results
AccuracySegmentsBranch
75.9%3y
84.8%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(log.f64 2)
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
84.4%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
Outputs
(*.f64 x (neg.f64 y))
Calls

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
46.9%1y
46.9%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
3.8%1x
3.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
-12216.383141686396
-0.0009439713069102502
Results
26.0ms128×256valid
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 178 to 138 computations (22.5% saved)

bsearch71.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
71.0ms
-12216.383141686396
-0.0009439713069102502
Results
66.0ms122×256valid
2.0ms512valid
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 160 to 120 computations (25% saved)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
9.970498168174044e-44
1.6714059053888354e-41
23.0ms
-12216.383141686396
-0.0009439713069102502
Results
35.0ms240×256valid
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 279 to 227 computations (18.6% saved)

bsearch49.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
9.970498168174044e-44
1.6714059053888354e-41
31.0ms
-12216.383141686396
-0.0009439713069102502
Results
43.0ms240×256valid
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 215 to 179 computations (16.7% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×+-commutative
14×*-commutative
12×sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046342
166342
276342
381342
483342
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 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -75) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -5072854620270127/4611686018427387904) (*.f64 x (neg.f64 y)) (if (<=.f64 x 8474087342772019/3138550867693340381917894711603833208051177722232017256448) (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8762203435012037/9223372036854775808) (*.f64 x (neg.f64 y)) (if (<=.f64 x 3515176971816541/12554203470773361527671578846415332832204710888928069025792) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
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 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -75) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -75) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -5072854620270127/4611686018427387904) (*.f64 x (neg.f64 y)) (if (<=.f64 x 8474087342772019/3138550867693340381917894711603833208051177722232017256448) (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (*.f64 x (neg.f64 y)) (if (<=.f64 x 8474087342772019/3138550867693340381917894711603833208051177722232017256448) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (*.f64 y (neg.f64 x)) (if (<=.f64 x 8474087342772019/3138550867693340381917894711603833208051177722232017256448) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8762203435012037/9223372036854775808) (*.f64 x (neg.f64 y)) (if (<=.f64 x 3515176971816541/12554203470773361527671578846415332832204710888928069025792) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8762203435012037/9223372036854775808) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3515176971816541/12554203470773361527671578846415332832204710888928069025792) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 109 to 77 computations (29.4% saved)

soundness581.0ms (4.9%)

Rules
1638×fma-neg
1416×times-frac
1416×times-frac
1230×fma-neg
1230×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3286210
4466210
5769210
61332210
72734210
87535210
030234
173226
2129210
3286210
4466210
5769210
61332210
72734210
87535210
05029336
112479125
238729050
Stop Event
node limit
node limit
node limit
Compiler

Compiled 100 to 53 computations (47% saved)

end0.0ms (0%)

preprocess87.0ms (0.7%)

Compiler

Compiled 268 to 160 computations (40.3% saved)

Profiling

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