Logistic regression 2

Time bar (total: 10.3s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

sample3.2s (31.3%)

Results
1.7s2234×body8192exit
1.1s6873×body256valid
248.0ms995×body256infinite
79.0ms182×body1024valid
50.0ms203×body512valid
2.0msbody2048valid
Bogosity

preprocess377.0ms (3.7%)

Algorithm
egg-herbie
Rules
1530×times-frac
1354×fma-def
800×fma-neg
722×fabs-mul
544×cancel-sign-sub-inv
Problems
251×No Errors
(log.f64 (+.f64 1 (exp.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028158
164154
297146
3214146
4367146
5608146
61137146
72601146
85625146
97762146
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)))
(-.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)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
Compiler

Compiled 40 to 23 computations (42.5% saved)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
98.8%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize82.0ms (0.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
98.8%
(log1p.f64 (exp.f64 x))
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
98.8%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 36 to 9 computations (75% saved)

series75.0ms (0.7%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
46.0ms
x
@inf
(log1p.f64 (exp.f64 x))
22.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
3.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms
x
@0
(log1p.f64 (exp.f64 x))
0.0ms
y
@inf
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

rewrite198.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1856×prod-diff
686×log-prod
638×log1p-expm1-u
638×expm1-log1p-u
518×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01584
118176
2245576
Stop Event
node limit
Counts
4 → 367
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Outputs
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.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 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y (neg.f64 x) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(+.f64 0 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.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 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.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 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.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 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.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))))
(+.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 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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
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(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (/.f64 (pow.f64 (*.f64 x y) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 (exp.f64 x) 1)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (+.f64 (exp.f64 x) 1)))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))

simplify263.0ms (2.6%)

Algorithm
egg-herbie
Rules
1190×fma-neg
812×unswap-sqr
598×distribute-lft-neg-in
558×distribute-lft-out
546×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052513975
1125313601
2362713342
Stop Event
node limit
Counts
439 → 261
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.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 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y (neg.f64 x) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(+.f64 0 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.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))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (/.f64 (pow.f64 (*.f64 x y) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 (exp.f64 x) 1)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (+.f64 (exp.f64 x) 1)))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
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 x (+.f64 1/2 (*.f64 x 1/8))))
(+.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)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
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(fma.f64 x y (log1p.f64 (exp.f64 x)))
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(fma.f64 x y (log1p.f64 (exp.f64 x)))
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(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) -1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(+.f64 (log1p.f64 (exp.f64 x)) (log.f64 (/.f64 1 (pow.f64 (exp.f64 y) x))))
(-.f64 (log1p.f64 (exp.f64 x)) (log.f64 (pow.f64 (exp.f64 y) x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (log.f64 (exp.f64 y))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 (exp.f64 x) 1)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (+.f64 (exp.f64 x) 1)))
(+.f64 (log1p.f64 (exp.f64 x)) (log.f64 (/.f64 1 (pow.f64 (exp.f64 y) x))))
(-.f64 (log1p.f64 (exp.f64 x)) (log.f64 (pow.f64 (exp.f64 y) x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (log.f64 (exp.f64 y))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1) 1))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))

eval171.0ms (1.7%)

Compiler

Compiled 6100 to 2114 computations (65.3% saved)

prune70.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3017308
Fresh000
Picked112
Done000
Total3028310
Accuracy
99.4%
Counts
310 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(fma.f64 x (neg.f64 y) (log.f64 2))
96.9%
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))) (*.f64 x y))
98.2%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
89.6%
(-.f64 (log.f64 2) (*.f64 x y))
80.2%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
75.4%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
56.1%
(*.f64 y (neg.f64 x))
89.6%
(fma.f64 x (neg.f64 y) (log.f64 2))
96.9%
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))) (*.f64 x y))
98.2%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
98.8%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
89.6%
(-.f64 (log.f64 2) (*.f64 x y))
80.2%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
75.4%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
56.1%
(*.f64 y (neg.f64 x))
Compiler

Compiled 338 to 248 computations (26.6% saved)

localize710.0ms (6.9%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 x 1/8) (-.f64 1/2 y))
100.0%
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
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 1 (exp.f64 x))
100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
100.0%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
97.3%
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
Compiler

Compiled 132 to 81 computations (38.6% saved)

series133.0ms (1.3%)

Counts
10 → 159
Calls

51 calls:

TimeVariablePointExpression
94.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
23.0ms
x
@inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms
y
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
2.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
1.0ms
y
@0
(-.f64 (log.f64 2) (*.f64 x y))

rewrite230.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
794×expm1-udef
792×log1p-udef
372×associate-*r*
218×associate-*l*
216×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028262
1454234
26861234
Stop Event
node limit
Counts
10 → 335
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(+.f64 (*.f64 x 1/8) (-.f64 1/2 y))
Outputs
(+.f64 0 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.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)))))
(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))
(log1p.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(+.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 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 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 (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 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 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (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))))))
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(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 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (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 (log.f64 2)) 2) (cbrt.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 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.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)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 1 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (-.f64 (fma.f64 x 1/8 1/2) y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2) (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))
(-.f64 1/2 (-.f64 y (*.f64 x 1/8)))
(-.f64 (fma.f64 x 1/8 1/2) y)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x 1/8 1/2) y))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/64) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)) (/.f64 (pow.f64 (-.f64 1/2 y) 2) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(*.f64 1 (-.f64 (fma.f64 x 1/8 1/2) y))
(*.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 1 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (neg.f64 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (+.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (+.f64 (pow.f64 y 2) (*.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 x 2) 1/64)) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (pow.f64 y 2)) (+.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x 1/8 1/2) y))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (-.f64 1/2 y) (*.f64 x 1/8))
(fma.f64 1 (*.f64 x 1/8) (-.f64 1/2 y))
(fma.f64 x 1/8 (-.f64 1/2 y))
(fma.f64 1/8 x (-.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/8)) 2) (cbrt.f64 (*.f64 x 1/8)) (-.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (cbrt.f64 (-.f64 1/2 y)) (*.f64 x 1/8))
(fma.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (*.f64 x 1/8)) (-.f64 1/2 y))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/2 y)) (*.f64 x 1/8))

simplify230.0ms (2.2%)

Algorithm
egg-herbie
Rules
1008×fma-def
910×associate-*r*
810×associate-*l*
456×distribute-rgt-in
406×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080420543
1198817758
Stop Event
node limit
Counts
494 → 504
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))))))
(*.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)))))))
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(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 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (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 (log.f64 2)) 2) (cbrt.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 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.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)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 1 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (-.f64 (fma.f64 x 1/8 1/2) y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2) (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))
(-.f64 1/2 (-.f64 y (*.f64 x 1/8)))
(-.f64 (fma.f64 x 1/8 1/2) y)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x 1/8 1/2) y))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/64) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)) (/.f64 (pow.f64 (-.f64 1/2 y) 2) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(*.f64 1 (-.f64 (fma.f64 x 1/8 1/2) y))
(*.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 1 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (neg.f64 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (+.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (+.f64 (pow.f64 y 2) (*.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 x 2) 1/64)) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (pow.f64 y 2)) (+.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x 1/8 1/2) y))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (-.f64 1/2 y) (*.f64 x 1/8))
(fma.f64 1 (*.f64 x 1/8) (-.f64 1/2 y))
(fma.f64 x 1/8 (-.f64 1/2 y))
(fma.f64 1/8 x (-.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/8)) 2) (cbrt.f64 (*.f64 x 1/8)) (-.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (cbrt.f64 (-.f64 1/2 y)) (*.f64 x 1/8))
(fma.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (*.f64 x 1/8)) (-.f64 1/2 y))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/2 y)) (*.f64 x 1/8))
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 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))))))
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(*.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 1)
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8))))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 1/64 (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (-.f64 1/2 y) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/64)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 1 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (+.f64 y (fma.f64 x 1/8 -1/2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 1/64 (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (-.f64 1/2 y) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/64)))
(/.f64 1 (/.f64 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (+.f64 y (fma.f64 x 1/8 -1/2)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 1/64 (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (-.f64 1/2 y) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/64)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (*.f64 x (-.f64 1/2 y)) 1/8))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (fma.f64 (pow.f64 x 2) 1/64 (*.f64 (-.f64 1/2 y) (*.f64 x -1/8)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (+.f64 y (fma.f64 x 1/8 -1/2)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))) (neg.f64 (fma.f64 (pow.f64 x 2) 1/64 (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8))))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (-.f64 1/2 y) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (neg.f64 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (neg.f64 (+.f64 y (fma.f64 x 1/8 -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 x 2) -1/64)) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (+.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (+.f64 (pow.f64 y 2) (*.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (fma.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2) (+.f64 (pow.f64 y 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (fma.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2) (*.f64 y (+.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 x 2) 1/64)) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (neg.f64 (+.f64 y (fma.f64 x 1/8 -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 x 2) -1/64)) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (pow.f64 y 2)) (+.f64 (fma.f64 x 1/8 1/2) y))
(/.f64 (fma.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2) (neg.f64 (pow.f64 y 2))) (+.f64 y (fma.f64 x 1/8 1/2)))
(pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 1)
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 3)
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(pow.f64 (pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 3) 1/3)
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 2)
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 2))
(fabs.f64 (fma.f64 x 1/8 (-.f64 1/2 y)))
(log.f64 (exp.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x 1/8 1/2) y))))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/8 1/2) y) 3))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(exp.f64 (log.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x 1/8 1/2) y)) 1))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(fma.f64 1 (-.f64 1/2 y) (*.f64 x 1/8))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(fma.f64 1 (*.f64 x 1/8) (-.f64 1/2 y))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(fma.f64 x 1/8 (-.f64 1/2 y))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 1/8 x (-.f64 1/2 y))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/8)) 2) (cbrt.f64 (*.f64 x 1/8)) (-.f64 1/2 y))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (cbrt.f64 (-.f64 1/2 y)) (*.f64 x 1/8))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(fma.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (*.f64 x 1/8)) (-.f64 1/2 y))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/2 y)) (*.f64 x 1/8))
(-.f64 (fma.f64 x 1/8 1/2) y)
(fma.f64 x 1/8 (-.f64 1/2 y))

eval296.0ms (2.9%)

Compiler

Compiled 9581 to 6369 computations (33.5% saved)

prune109.0ms (1.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New4959504
Fresh022
Picked325
Done101
Total49913512
Accuracy
99.4%
Counts
512 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(fma.f64 x (neg.f64 y) (log.f64 2))
96.9%
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))) (*.f64 x y))
88.9%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
89.6%
(-.f64 (log.f64 2) (*.f64 x y))
79.7%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
48.6%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
44.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
61.3%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
56.1%
(*.f64 y (neg.f64 x))
38.3%
(*.f64 x (-.f64 1/2 y))
46.2%
(log1p.f64 (exp.f64 x))
43.4%
(log.f64 2)
61.3%
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
89.6%
(fma.f64 x (neg.f64 y) (log.f64 2))
96.9%
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))) (*.f64 x y))
88.9%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
89.6%
(-.f64 (log.f64 2) (*.f64 x y))
79.7%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
48.6%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
44.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
61.3%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
56.1%
(*.f64 y (neg.f64 x))
38.3%
(*.f64 x (-.f64 1/2 y))
46.2%
(log1p.f64 (exp.f64 x))
43.4%
(log.f64 2)
61.3%
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
Compiler

Compiled 472 to 372 computations (21.2% saved)

localize491.0ms (4.8%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
98.5%
(log.f64 (sqrt.f64 2))
99.6%
(log1p.f64 (exp.f64 x))
100.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
100.0%
(*.f64 x (-.f64 1/2 y))
99.9%
(pow.f64 (exp.f64 x) 2)
99.6%
(log1p.f64 (pow.f64 (exp.f64 x) 3))
99.6%
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
45.1%
(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
Compiler

Compiled 128 to 73 computations (43% saved)

series158.0ms (1.5%)

Counts
7 → 59
Calls

21 calls:

TimeVariablePointExpression
93.0ms
x
@-inf
(log1p.f64 (pow.f64 (exp.f64 x) 3))
19.0ms
x
@-inf
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
18.0ms
x
@inf
(log1p.f64 (pow.f64 (exp.f64 x) 3))
18.0ms
x
@inf
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
6.0ms
x
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))

rewrite127.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1044×log1p-expm1-u
566×expm1-udef
564×log1p-udef
449×expm1-log1p-u
266×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025152
1372126
24895126
Stop Event
node limit
Counts
7 → 195
Calls
Call 1
Inputs
(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
(log1p.f64 (pow.f64 (exp.f64 x) 3))
(pow.f64 (exp.f64 x) 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 (sqrt.f64 2))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
Outputs
(+.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (exp.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (neg.f64 (exp.f64 x)) 1))
(+.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (exp.f64 x)))
(+.f64 (neg.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))
(*.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)) (exp.f64 (*.f64 x 3)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) (-.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (exp.f64 x) 6) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (exp.f64 (*.f64 x 3))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)) (exp.f64 (*.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2)) (exp.f64 (*.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (neg.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 4) (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) (*.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))) (-.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (exp.f64 x))))
(pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(fma.f64 (exp.f64 x) (exp.f64 x) (neg.f64 (exp.f64 x)))
(fma.f64 1 (pow.f64 (exp.f64 x) 2) (neg.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))) 1)
(*.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 1 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 2) (cbrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (sqrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 2))
(log.f64 (+.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 (*.f64 x 3))))) 1)
(*.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) 1)
(*.f64 1 (log1p.f64 (exp.f64 (*.f64 x 3))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))) (sqrt.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))))
(pow.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) 2))
(log.f64 (+.f64 (exp.f64 (*.f64 x 3)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 (*.f64 x 3)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2))) 1)
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) 2) 1)
(*.f64 1 (pow.f64 (exp.f64 x) 2))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (*.f64 (cbrt.f64 (exp.f64 x)) (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)))
(*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 3/2))
(*.f64 (pow.f64 (exp.f64 x) 3/2) (sqrt.f64 (exp.f64 x)))
(*.f64 (*.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) 2))))
(cbrt.f64 (pow.f64 (exp.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2)))
(exp.f64 (*.f64 x 2))
(exp.f64 (*.f64 (*.f64 x 2) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (pow.f64 (*.f64 x 1/2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.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 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (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 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (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) (pow.f64 (*.f64 x 1/2) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (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))))
(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))
(log1p.f64 (expm1.f64 (fma.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 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(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 0 (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(*.f64 1/2 (log.f64 2))
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(*.f64 1 (log.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(pow.f64 (log.f64 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 2))) 1))
(log1p.f64 (-.f64 (sqrt.f64 2) 1))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 2) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (log.f64 2) (+.f64 (*.f64 y (neg.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.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 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.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 (log.f64 2) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log.f64 2) (*.f64 y (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.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 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log.f64 2) (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 2) (*.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 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 y (neg.f64 x)))
(fma.f64 1 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 1 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))

simplify126.0ms (1.2%)

Algorithm
egg-herbie
Rules
1180×times-frac
1090×fma-neg
674×fma-def
674×log-prod
400×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04807982
111087551
241947387
Stop Event
node limit
Counts
254 → 296
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 3/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 7/6 (pow.f64 x 3)) (*.f64 3/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 5/8 (pow.f64 x 4)) (+.f64 (*.f64 7/6 (pow.f64 x 3)) (*.f64 3/2 (pow.f64 x 2)))))
x
(+.f64 x (pow.f64 x 2))
(+.f64 x (+.f64 (*.f64 -5/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -5/12 (pow.f64 x 4)) (+.f64 (*.f64 91/360 (pow.f64 x 6)) (pow.f64 x 2))))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
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(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.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 (log.f64 2) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log.f64 2) (*.f64 y (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.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 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log.f64 2) (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 2) (*.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 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 y (neg.f64 x)))
(fma.f64 1 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 1 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
Outputs
x
(+.f64 x (*.f64 3/2 (pow.f64 x 2)))
(fma.f64 3/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 7/6 (pow.f64 x 3)) (*.f64 3/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 7/6 (pow.f64 x 3) (*.f64 3/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 3/2 (pow.f64 x 2) (*.f64 7/6 (pow.f64 x 3))))
(+.f64 (fma.f64 3/2 (pow.f64 x 2) x) (*.f64 7/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 5/8 (pow.f64 x 4)) (+.f64 (*.f64 7/6 (pow.f64 x 3)) (*.f64 3/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 5/8 (pow.f64 x 4) (fma.f64 7/6 (pow.f64 x 3) (*.f64 3/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 5/8 (pow.f64 x 4) (*.f64 7/6 (pow.f64 x 3))) (fma.f64 3/2 (pow.f64 x 2) x))
x
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (+.f64 (*.f64 -5/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 x (fma.f64 -5/12 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 x (fma.f64 (pow.f64 x 4) -5/12 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -5/12 (pow.f64 x 4)) (+.f64 (*.f64 91/360 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 x (fma.f64 -5/12 (pow.f64 x 4) (fma.f64 91/360 (pow.f64 x 6) (pow.f64 x 2))))
(+.f64 x (fma.f64 (pow.f64 x 4) -5/12 (fma.f64 91/360 (pow.f64 x 6) (pow.f64 x 2))))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 3/2 x))
(+.f64 (log.f64 2) (*.f64 x 3/2))
(fma.f64 x 3/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 (log.f64 2) (fma.f64 9/8 (pow.f64 x 2) (*.f64 x 3/2)))
(+.f64 (log.f64 2) (fma.f64 x 3/2 (*.f64 (pow.f64 x 2) 9/8)))
(+.f64 (fma.f64 x 3/2 (log.f64 2)) (*.f64 (pow.f64 x 2) 9/8))
(+.f64 (log.f64 2) (+.f64 (*.f64 -27/64 (pow.f64 x 4)) (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(+.f64 (log.f64 2) (fma.f64 -27/64 (pow.f64 x 4) (fma.f64 9/8 (pow.f64 x 2) (*.f64 x 3/2))))
(+.f64 (log.f64 2) (fma.f64 (pow.f64 x 4) -27/64 (fma.f64 x 3/2 (*.f64 (pow.f64 x 2) 9/8))))
(+.f64 (fma.f64 (pow.f64 x 4) -27/64 (*.f64 (pow.f64 x 2) 9/8)) (fma.f64 x 3/2 (log.f64 2)))
(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(log1p.f64 (pow.f64 (exp.f64 x) 3))
(log1p.f64 (exp.f64 (*.f64 x 3)))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(log1p.f64 (pow.f64 (exp.f64 x) 3))
(log1p.f64 (exp.f64 (*.f64 x 3)))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(log1p.f64 (pow.f64 (exp.f64 x) 3))
(log1p.f64 (exp.f64 (*.f64 x 3)))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(log1p.f64 (pow.f64 (exp.f64 x) 3))
(log1p.f64 (exp.f64 (*.f64 x 3)))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(log1p.f64 (pow.f64 (exp.f64 x) 3))
(log1p.f64 (exp.f64 (*.f64 x 3)))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(log1p.f64 (pow.f64 (exp.f64 x) 3))
(log1p.f64 (exp.f64 (*.f64 x 3)))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(log1p.f64 (pow.f64 (exp.f64 x) 3))
(log1p.f64 (exp.f64 (*.f64 x 3)))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(log1p.f64 (pow.f64 (exp.f64 x) 3))
(log1p.f64 (exp.f64 (*.f64 x 3)))
(log1p.f64 (pow.f64 (exp.f64 3) x))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 x 2))
(fma.f64 x 2 1)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 4/3 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 4/3 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 2)))))
(+.f64 1 (fma.f64 (pow.f64 x 3) 4/3 (*.f64 2 (fma.f64 x x x))))
(+.f64 (fma.f64 2 (fma.f64 x x x) 1) (*.f64 (pow.f64 x 3) 4/3))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (exp.f64 x)))
(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
(-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))
(+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (neg.f64 (exp.f64 x)) 1))
(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
(-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x)))
(fma.f64 (exp.f64 x) (expm1.f64 x) (+.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(fma.f64 (exp.f64 x) (expm1.f64 x) (*.f64 0 (exp.f64 x)))
(fma.f64 (exp.f64 x) (expm1.f64 x) 0)
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(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 y (+.f64 (log.f64 2) (*.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 y (+.f64 (log.f64 2) (*.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log.f64 2) (*.f64 y (neg.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 y (+.f64 (log.f64 2) (*.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.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 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) (pow.f64 (*.f64 0 (*.f64 x y)) 3)) (fma.f64 (*.f64 0 (*.f64 x y)) (+.f64 (-.f64 (*.f64 0 (*.f64 x y)) (log.f64 2)) (*.f64 x y)) (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2)))
(/.f64 (+.f64 0 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3)) (fma.f64 0 (-.f64 (*.f64 x y) (log.f64 2)) (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log.f64 2) (*.f64 y (neg.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 2) (*.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 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (log.f64 2) (+.f64 (*.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) (*.f64 (*.f64 0 (*.f64 x y)) (*.f64 0 (*.f64 x y)))) (-.f64 (log.f64 2) (fma.f64 x y (*.f64 0 (*.f64 x y)))))
(/.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) (-.f64 (log.f64 2) (*.f64 x y)))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(-.f64 (log.f64 2) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(-.f64 (log.f64 2) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(-.f64 (log.f64 2) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(-.f64 (log.f64 2) (*.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(-.f64 (log.f64 2) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(-.f64 (log.f64 2) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(-.f64 (log.f64 2) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 x y))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 y (neg.f64 x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(fma.f64 1 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(fma.f64 1 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2))) (*.f64 x y))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))

eval159.0ms (1.5%)

Compiler

Compiled 6340 to 3763 computations (40.6% saved)

prune110.0ms (1.1%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New3654369
Fresh246
Picked235
Done022
Total36913382
Accuracy
99.4%
Counts
382 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(fma.f64 x (neg.f64 y) (log.f64 2))
96.8%
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))) (*.f64 x y))
88.9%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
89.6%
(-.f64 (log.f64 2) (*.f64 x y))
79.7%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
48.6%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
44.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
61.3%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
56.1%
(*.f64 y (neg.f64 x))
3.7%
(*.f64 x 1/2)
46.2%
(log1p.f64 (exp.f64 x))
43.4%
(log.f64 2)
42.8%
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
89.6%
(fma.f64 x (neg.f64 y) (log.f64 2))
96.8%
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))) (*.f64 x y))
88.9%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
89.6%
(-.f64 (log.f64 2) (*.f64 x y))
79.7%
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
48.6%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
44.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
61.3%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
56.1%
(*.f64 y (neg.f64 x))
3.7%
(*.f64 x 1/2)
46.2%
(log1p.f64 (exp.f64 x))
43.4%
(log.f64 2)
42.8%
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
Compiler

Compiled 408 to 328 computations (19.6% saved)

localize703.0ms (6.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
100.0%
(fma.f64 x 1/2 (log.f64 2))
100.0%
(log.f64 (fma.f64 x 1/2 (log.f64 2)))
100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
100.0%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
99.2%
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
100.0%
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
100.0%
(-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
99.6%
(log1p.f64 (exp.f64 (*.f64 x 3)))
99.6%
(log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))
52.0%
(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
Compiler

Compiled 171 to 116 computations (32.2% saved)

series41.0ms (0.4%)

Counts
10 → 156
Calls

39 calls:

TimeVariablePointExpression
16.0ms
x
@inf
(log1p.f64 (exp.f64 (*.f64 x 3)))
16.0ms
x
@-inf
(log1p.f64 (exp.f64 (*.f64 x 3)))
1.0ms
x
@inf
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
1.0ms
y
@inf
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
1.0ms
y
@0
(log1p.f64 (*.f64 x (-.f64 1/2 y)))

rewrite168.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
844×expm1-udef
842×log1p-udef
374×associate-*r*
237×log1p-expm1-u
236×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034255
1498233
26984233
Stop Event
node limit
Counts
10 → 274
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 (*.f64 x 3)))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)))) 1)
(*.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) 1)
(*.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) 3)))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))))
(pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) 2))
(log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3))) 1))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (*.f64 (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 1))
(+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (fma.f64 (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 1 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 2) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))) (sqrt.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (log1p.f64 (pow.f64 (exp.f64 x) 3)))
(*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(*.f64 1 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))))
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(-.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 (log.f64 2) (+.f64 (*.f64 x (-.f64 1/2 y)) 1)) 1)
(*.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 (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 (+.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 (*.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 (+.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 (*.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 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(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))))
(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))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (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 (pow.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 (log.f64 2)) 2) (cbrt.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 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(*.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 1)
(*.f64 1 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 2))
(log.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1))
(+.f64 0 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 1)
(*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(*.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 1))
(log1p.f64 (-.f64 (fma.f64 x 1/2 (log.f64 2)) 1))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (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)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (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)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))

simplify197.0ms (1.9%)

Algorithm
egg-herbie
Rules
1428×fma-neg
1090×fma-def
1066×log-prod
648×associate-*r*
574×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072117233
1180916081
2705216081
Stop Event
node limit
Counts
430 → 445
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 3/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -27/64 (pow.f64 x 4)) (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(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))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(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 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 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 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 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 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
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(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 2))
(log.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1))
(+.f64 0 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 1)
(*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(*.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 1))
(log1p.f64 (-.f64 (fma.f64 x 1/2 (log.f64 2)) 1))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (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)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (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)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 3/2 x))
(fma.f64 3/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 (log.f64 2) (fma.f64 9/8 (pow.f64 x 2) (*.f64 3/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -27/64 (pow.f64 x 4)) (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(+.f64 (log.f64 2) (fma.f64 -27/64 (pow.f64 x 4) (fma.f64 9/8 (pow.f64 x 2) (*.f64 3/2 x))))
(+.f64 (fma.f64 -27/64 (pow.f64 x 4) (*.f64 9/8 (pow.f64 x 2))) (fma.f64 3/2 x (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 3 x))))
(log1p.f64 (pow.f64 (exp.f64 3) x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (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 x 1/2 (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 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 x 1/2 (*.f64 (pow.f64 x 2) 1/8))))
(+.f64 (*.f64 (pow.f64 x 4) -1/192) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (*.f64 3 x)))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (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 x 1/2 (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (fma.f64 x 1/8 1/2) (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 x 1/2 (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (fma.f64 x 1/8 1/2) (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 x 1/2 (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (fma.f64 x 1/8 1/2) (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 x 1/2 (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.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))
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(fma.f64 x 1/2 (log.f64 2))
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.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)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 x 1/2 (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(fabs.f64 (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) 2))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 x 1/2 (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(fma.f64 x 1/2 (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.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)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 x 1/2 (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(fabs.f64 (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) 2))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 x 1/2 (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(fma.f64 x 1/2 (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))

eval265.0ms (2.6%)

Compiler

Compiled 11639 to 8127 computations (30.2% saved)

prune112.0ms (1.1%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New5556561
Fresh123
Picked235
Done145
Total55915574
Accuracy
99.4%
Counts
574 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(fma.f64 x (neg.f64 y) (log.f64 2))
96.8%
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))) (*.f64 x y))
80.2%
(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) (-.f64 1 (log.f64 2)))
79.6%
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x (-.f64 1/2 y)) 1)) 1)
89.6%
(-.f64 (log.f64 2) (*.f64 x y))
53.1%
(+.f64 (log.f64 2) (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) (+.f64 (*.f64 x (-.f64 1/2 y)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) 1)))))
48.6%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
44.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
19.2%
(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
42.8%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
56.1%
(*.f64 y (neg.f64 x))
3.7%
(*.f64 x 1/2)
46.2%
(log1p.f64 (exp.f64 x))
43.4%
(log.f64 2)
42.8%
(exp.f64 (log.f64 (+.f64 (*.f64 x 1/2) (log.f64 2))))
Compiler

Compiled 482 to 360 computations (25.3% saved)

regimes63.0ms (0.6%)

Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x (-.f64 1/2 y)) 1)) 1)
(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) (-.f64 1 (log.f64 2)))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (log.f64 2) (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) (+.f64 (*.f64 x (-.f64 1/2 y)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) 1)))))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (+.f64 (*.f64 x 1/2) (log.f64 2))))
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (log.f64 (*.f64 x (-.f64 1/2 y))))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(-.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))) (*.f64 x y))
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))) (*.f64 x y))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

18.0ms
y
16.0ms
x
9.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 311 to 219 computations (29.6% saved)

regimes40.0ms (0.4%)

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

3 calls:

15.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
11.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 185 to 134 computations (27.6% saved)

regimes31.0ms (0.3%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x (-.f64 1/2 y)) 1)) 1)
(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1) (-.f64 1 (log.f64 2)))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
Calls

2 calls:

17.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
98.8%2x
89.6%1y
Compiler

Compiled 107 to 81 computations (24.3% saved)

regimes21.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
98.5%2x
Compiler

Compiled 59 to 44 computations (25.4% saved)

regimes13.0ms (0.1%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
97.9%2x
Compiler

Compiled 31 to 22 computations (29% saved)

regimes54.0ms (0.5%)

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

2 calls:

38.0ms
y
14.0ms
x
Results
AccuracySegmentsBranch
76.9%7y
82.1%3x
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes14.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
82.1%3x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

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

2 calls:

6.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
56.1%1y
56.1%1x
Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

5.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
3.7%1x
3.7%1y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch33.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
-43458025.66630846
-240706.55146985606
Results
15.0ms32×body1024valid
10.0ms67×body256valid
6.0ms12×body512valid
1.0msbody2048valid
Compiler

Compiled 170 to 131 computations (22.9% saved)

bsearch37.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
37.0ms
-43458025.66630846
-240706.55146985606
Results
13.0ms29×body1024valid
13.0ms66×body256valid
3.0ms12×body512valid
3.0msbody2048valid
0.0msbody256infinite
Compiler

Compiled 142 to 110 computations (22.5% saved)

bsearch32.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
-43458025.66630846
-240706.55146985606
Results
15.0ms24×body1024valid
11.0ms74×body256valid
3.0ms11×body512valid
2.0msbody2048valid
0.0msbody256infinite
Compiler

Compiled 128 to 96 computations (25% saved)

bsearch36.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
7.701329722779419e-28
9.814921004337474e-12
12.0ms
-4.713439536808573e-74
-2.934037080711741e-74
Results
32.0ms224×body256valid
Compiler

Compiled 250 to 204 computations (18.4% saved)

bsearch31.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
7.701329722779419e-28
9.814921004337474e-12
9.0ms
-4.713439536808573e-74
-2.934037080711741e-74
Results
28.0ms224×body256valid
Compiler

Compiled 194 to 162 computations (16.5% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
052415
176415
289415
393415
494415
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 -245000) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -245000) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -245000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -5856478431961647/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (*.f64 y (neg.f64 x)) (if (<=.f64 x 15057660889751/5192296858534827628530496329220096) (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5601848934919837/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7443676776395529/2658455991569831745807614120560689152) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -245000) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -245000) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -245000) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -245000) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -245000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -245000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -5856478431961647/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (*.f64 y (neg.f64 x)) (if (<=.f64 x 15057660889751/5192296858534827628530496329220096) (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5856478431961647/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (*.f64 y (neg.f64 x)) (if (<=.f64 x 15057660889751/5192296858534827628530496329220096) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5856478431961647/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (*.f64 x (neg.f64 y)) (if (<=.f64 x 15057660889751/5192296858534827628530496329220096) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5601848934919837/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7443676776395529/2658455991569831745807614120560689152) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5601848934919837/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (*.f64 x (neg.f64 y)) (if (<=.f64 x 7443676776395529/2658455991569831745807614120560689152) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)
Compiler

Compiled 131 to 93 computations (29% saved)

soundness924.0ms (9%)

Rules
1530×times-frac
1530×times-frac
1354×fma-def
1354×fma-def
1190×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028158
164154
297146
3214146
4367146
5608146
61137146
72601146
85625146
97762146
028158
164154
297146
3214146
4367146
5608146
61137146
72601146
85625146
97762146
04807982
111087551
241947387
052513975
1125313601
2362713342
052513975
1125313601
2362713342
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 241 to 158 computations (34.4% saved)

end0.0ms (0%)

preprocess106.0ms (1%)

Compiler

Compiled 308 to 182 computations (40.9% saved)

Profiling

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