Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2

Time bar (total: 3.1s)

analyze34.0ms (1.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
66.7%49.9%25%0.1%0%25%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
80%49.9%12.5%0.1%0%37.4%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
88.9%49.9%6.2%0.1%0%43.7%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.3s (41.1%)

Results
688.0ms4790×body256infinite
421.0ms3466×body256valid
153.0ms1001×body256invalid
Bogosity

preprocess129.0ms (4.1%)

Algorithm
egg-herbie
Rules
1302×fma-neg
1112×fma-def
964×exp-sum
606×times-frac
528×cancel-sign-sub-inv
Problems
255×No Errors
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037232
195196
2261196
3775188
41883188
55492188
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z)))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 (neg.f64 x) (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) (neg.f64 x)) z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z))
(exp.f64 (-.f64 (fma.f64 (neg.f64 y) (log.f64 (neg.f64 y)) x) z))
(*.f64 (pow.f64 (neg.f64 y) (neg.f64 y)) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 x (fma.f64 y (log.f64 (neg.f64 y)) z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z)))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z))))
(exp.f64 (+.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 y y) (exp.f64 (+.f64 x z)))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (-.f64 (fma.f64 x (log.f64 x) y) z))
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z)))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (+.f64 z (-.f64 (*.f64 y (log.f64 y)) x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
(exp.f64 (-.f64 (fma.f64 z (log.f64 z) x) y))
(*.f64 (pow.f64 z z) (exp.f64 (-.f64 x y)))
(/.f64 (pow.f64 z z) (exp.f64 (-.f64 y x)))
Compiler

Compiled 48 to 17 computations (64.6% saved)

eval1.0ms (0%)

Compiler

Compiled 28 to 15 computations (46.4% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
82.8%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 46 to 30 computations (34.8% saved)

localize61.0ms (2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(+.f64 x (*.f64 y (log.f64 y)))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
99.7%
(*.f64 y (log.f64 y))
Compiler

Compiled 57 to 13 computations (77.2% saved)

series106.0ms (3.4%)

Counts
4 → 76
Calls

27 calls:

TimeVariablePointExpression
34.0ms
y
@inf
(*.f64 y (log.f64 y))
30.0ms
y
@0
(*.f64 y (log.f64 y))
18.0ms
y
@-inf
(*.f64 y (log.f64 y))
11.0ms
x
@inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
6.0ms
z
@inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite104.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
1556×fma-def
1538×log-prod
566×expm1-udef
566×log1p-udef
536×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01582
132370
2460670
Stop Event
node limit
Counts
4 → 139
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(+.f64 x (*.f64 y (log.f64 y)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
Outputs
(+.f64 (log.f64 (pow.f64 y y)) 0)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 0 (log.f64 (pow.f64 y y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 y y))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)))
(+.f64 (log.f64 (pow.f64 1 y)) (log.f64 (pow.f64 y y)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) y)) (log.f64 (pow.f64 (cbrt.f64 y) y)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 y) y)) (log.f64 (pow.f64 (sqrt.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 y y)))) 1)
(pow.f64 (log.f64 (pow.f64 y y)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2))
(log.f64 (pow.f64 y y))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 y y))))
(exp.f64 (log.f64 (log.f64 (pow.f64 y y))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 1))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(+.f64 0 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1)
(*.f64 1 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 (neg.f64 z)))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (/.f64 1 (exp.f64 z)))
(*.f64 (exp.f64 x) (exp.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) 2) (*.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2) (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 x z))) (*.f64 (sqrt.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))
(*.f64 (*.f64 (pow.f64 y y) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) 2)) (cbrt.f64 (exp.f64 (-.f64 x z))))
(*.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (sqrt.f64 (exp.f64 (-.f64 x z))))
(*.f64 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (cbrt.f64 (pow.f64 y y)))
(*.f64 (*.f64 (exp.f64 (-.f64 x z)) (sqrt.f64 (pow.f64 y y))) (sqrt.f64 (pow.f64 y y)))
(/.f64 1 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y y) (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(/.f64 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (neg.f64 (exp.f64 z)))
(pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2)
(pow.f64 (exp.f64 1) (fma.f64 y (log.f64 y) (-.f64 x z)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 (-.f64 x z)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 (pow.f64 y y)))) (/.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 x (log.f64 (pow.f64 y y)))))
(*.f64 (fma.f64 y (log.f64 y) x) 1)
(*.f64 1 (fma.f64 y (log.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)) (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (log.f64 (pow.f64 y y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 (*.f64 x x) (*.f64 (log.f64 (pow.f64 y y)) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (neg.f64 (-.f64 x (log.f64 (pow.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 x x)) (-.f64 (log.f64 (pow.f64 y y)) x))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(log.f64 (*.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (log.f64 (pow.f64 y y)) 1 x)
(fma.f64 x 1 (log.f64 (pow.f64 y y)))
(fma.f64 1 (log.f64 (pow.f64 y y)) x)
(fma.f64 1 x (log.f64 (pow.f64 y y)))
(fma.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (cbrt.f64 (log.f64 (pow.f64 y y))) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (log.f64 (pow.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (log.f64 (pow.f64 y y)))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 (pow.f64 y y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 0 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))) 1)
(/.f64 1 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y y) (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(/.f64 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (neg.f64 (exp.f64 z)))
(pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2)
(pow.f64 (exp.f64 1) (fma.f64 y (log.f64 y) (-.f64 x z)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 (-.f64 x z)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))

simplify123.0ms (4%)

Algorithm
egg-herbie
Rules
1054×times-frac
1002×distribute-lft-in
968×distribute-rgt-in
580×cancel-sign-sub-inv
456×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03637563
19286143
230975551
Stop Event
node limit
Counts
215 → 193
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
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(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
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x
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x
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(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (neg.f64 (-.f64 x (log.f64 (pow.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 x x)) (-.f64 (log.f64 (pow.f64 y y)) x))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(log.f64 (*.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (log.f64 (pow.f64 y y)) 1 x)
(fma.f64 x 1 (log.f64 (pow.f64 y y)))
(fma.f64 1 (log.f64 (pow.f64 y y)) x)
(fma.f64 1 x (log.f64 (pow.f64 y y)))
(fma.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (cbrt.f64 (log.f64 (pow.f64 y y))) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (log.f64 (pow.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (log.f64 (pow.f64 y y)))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 (pow.f64 y y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 0 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))) 1)
(/.f64 1 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y y) (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(/.f64 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (neg.f64 (exp.f64 z)))
(pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2)
(pow.f64 (exp.f64 1) (fma.f64 y (log.f64 y) (-.f64 x z)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 (-.f64 x z)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
Outputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))))
(*.f64 (+.f64 x 1) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 1 x))
(+.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))) (*.f64 x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))))
(+.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (fma.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 x x)) (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 1 x) (*.f64 1/2 (*.f64 x x))))
(+.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))) (*.f64 x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))))))
(+.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (fma.f64 1/6 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 x x)) (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x))))
(fma.f64 1/6 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 y y)) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
(fma.f64 1/6 (*.f64 (pow.f64 y y) (/.f64 (pow.f64 x 3) (exp.f64 z))) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (*.f64 -1 x))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (*.f64 -1 x))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (*.f64 -1 x))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (*.f64 -1 x))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 x z))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z)))))
(fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))
(+.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))
(+.f64 (exp.f64 (-.f64 x z)) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (*.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))))))
(+.f64 (exp.f64 (-.f64 x z)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (*.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)))))
(+.f64 (exp.f64 (-.f64 x z)) (fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (exp.f64 (-.f64 x z)) (*.f64 y (log.f64 y)))))
(+.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))))
(+.f64 (exp.f64 (-.f64 x z)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (*.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z)))))))
(+.f64 (exp.f64 (-.f64 x z)) (fma.f64 1/6 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (*.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2))))))
(+.f64 (exp.f64 (-.f64 x z)) (fma.f64 1/6 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (exp.f64 (-.f64 x z)) (*.f64 y (log.f64 y))))))
(exp.f64 (+.f64 x (*.f64 y (log.f64 y))))
(exp.f64 (fma.f64 y (log.f64 y) x))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+.f64 (exp.f64 (+.f64 x (*.f64 y (log.f64 y)))) (*.f64 -1 (*.f64 z (exp.f64 (+.f64 x (*.f64 y (log.f64 y)))))))
(+.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (*.f64 (neg.f64 z) (exp.f64 (fma.f64 y (log.f64 y) x))))
(*.f64 (+.f64 (neg.f64 z) 1) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+.f64 (exp.f64 (+.f64 x (*.f64 y (log.f64 y)))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 (+.f64 x (*.f64 y (log.f64 y)))))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 x (*.f64 y (log.f64 y))))))))
(+.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (fma.f64 -1 (*.f64 z (exp.f64 (fma.f64 y (log.f64 y) x))) (*.f64 1/2 (*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (*.f64 z z)))))
(fma.f64 (exp.f64 x) (pow.f64 y y) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (neg.f64 z) (*.f64 (*.f64 1/2 z) z))))
(fma.f64 (exp.f64 x) (pow.f64 y y) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 (*.f64 (*.f64 1/2 z) z) z)))
(+.f64 (exp.f64 (+.f64 x (*.f64 y (log.f64 y)))) (+.f64 (*.f64 -1 (*.f64 z (exp.f64 (+.f64 x (*.f64 y (log.f64 y)))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (exp.f64 (+.f64 x (*.f64 y (log.f64 y)))))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (exp.f64 (+.f64 x (*.f64 y (log.f64 y)))))))))
(+.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (fma.f64 -1 (*.f64 z (exp.f64 (fma.f64 y (log.f64 y) x))) (fma.f64 -1/6 (*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 z 3)) (*.f64 1/2 (*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (*.f64 z z))))))
(+.f64 (*.f64 (+.f64 (neg.f64 z) 1) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 (*.f64 1/2 z) z) (*.f64 -1/6 (pow.f64 z 3)))))
(exp.f64 (+.f64 x (+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (+.f64 x (+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (+.f64 x (+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (+.f64 x (+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 y (log.f64 y))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
x
x
x
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 x (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 x (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 x (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 x (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y))))) x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(+.f64 x (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y))))) x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
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(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 (log.f64 y) y x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 (pow.f64 y y)) 1 x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 x 1 (log.f64 (pow.f64 y y)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 1 (log.f64 (pow.f64 y y)) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 1 x (log.f64 (pow.f64 y y)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (cbrt.f64 (log.f64 (pow.f64 y y))) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (log.f64 (pow.f64 y y)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (log.f64 (pow.f64 y y)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 (pow.f64 y y)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 0 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))) 1)
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 1 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y y) (exp.f64 x))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (neg.f64 (exp.f64 z)))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1)
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 3)
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3) 1/3)
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2)
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (exp.f64 1) (fma.f64 y (log.f64 y) (-.f64 x z)))
(pow.f64 (E.f64) (fma.f64 y (log.f64 y) (-.f64 x z)))
(pow.f64 (E.f64) (-.f64 (fma.f64 y (log.f64 y) x) z))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2)) (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 (-.f64 x z)) 3)))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 z (neg.f64 x))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))

eval59.0ms (1.9%)

Compiler

Compiled 3210 to 1086 computations (66.2% saved)

prune33.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1894193
Fresh000
Picked202
Done000
Total1914195
Accuracy
100.0%
Counts
195 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.7%
(/.f64 (pow.f64 y y) (exp.f64 z))
67.3%
(*.f64 (pow.f64 y y) (exp.f64 x))
77.6%
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
82.1%
(exp.f64 (-.f64 x z))
66.7%
(/.f64 (pow.f64 y y) (exp.f64 z))
67.3%
(*.f64 (pow.f64 y y) (exp.f64 x))
77.6%
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
82.1%
(exp.f64 (-.f64 x z))
Compiler

Compiled 70 to 48 computations (31.4% saved)

localize441.0ms (14.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.3%
(/.f64 (pow.f64 y y) (exp.f64 z))
100.0%
(-.f64 (*.f64 y (log.f64 y)) z)
100.0%
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
99.8%
(*.f64 y (log.f64 y))
Compiler

Compiled 60 to 15 computations (75% saved)

series4.0ms (0.1%)

Counts
3 → 44
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
z
@-inf
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
z
@0
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
z
@inf
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
y
@-inf
(/.f64 (pow.f64 y y) (exp.f64 z))

rewrite90.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1396×prod-diff
1184×log-prod
784×pow-prod-down
664×pow-prod-up
640×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
125351
2311851
Stop Event
node limit
Counts
3 → 225
Calls
Call 1
Inputs
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(-.f64 (*.f64 y (log.f64 y)) z)
(/.f64 (pow.f64 y y) (exp.f64 z))
Outputs
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(/.f64 1 (/.f64 (exp.f64 z) (pow.f64 y y)))
(/.f64 1 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1))
(/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (/.f64 (exp.f64 z) (cbrt.f64 (pow.f64 y y))))
(/.f64 (neg.f64 (pow.f64 y y)) (neg.f64 (exp.f64 z)))
(/.f64 (sqrt.f64 (pow.f64 y y)) (/.f64 (exp.f64 z) (sqrt.f64 (pow.f64 y y))))
(/.f64 -1 (neg.f64 (/.f64 (exp.f64 z) (pow.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y y))) (neg.f64 (neg.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (pow.f64 y y) 1) (exp.f64 z))
(/.f64 (/.f64 (pow.f64 y y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2)) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z))) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(pow.f64 (exp.f64 1) (-.f64 (*.f64 y (log.f64 y)) z))
(pow.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1) -1)
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y 3) y) (exp.f64 (*.f64 3 z))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (*.f64 y (log.f64 y)) z)) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (*.f64 y (log.f64 y)) z)) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 y (log.f64 y)) z)) 2))
(exp.f64 (*.f64 (-.f64 z (*.f64 y (log.f64 y))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))

simplify122.0ms (3.9%)

Algorithm
egg-herbie
Rules
1224×unswap-sqr
880×fma-neg
634×log-prod
554×fma-def
524×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04547337
111496709
244626563
Stop Event
node limit
Counts
269 → 260
Calls
Call 1
Inputs
(exp.f64 (neg.f64 z))
(+.f64 (exp.f64 (neg.f64 z)) (*.f64 y (*.f64 (exp.f64 (neg.f64 z)) (log.f64 y))))
(+.f64 (exp.f64 (neg.f64 z)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (log.f64 y) 2)))) (*.f64 y (*.f64 (exp.f64 (neg.f64 z)) (log.f64 y)))))
(+.f64 (exp.f64 (neg.f64 z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (log.f64 y) 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (log.f64 y) 2)))) (*.f64 y (*.f64 (exp.f64 (neg.f64 z)) (log.f64 y))))))
(pow.f64 y y)
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 y y))) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 y y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (pow.f64 y y))) (pow.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 y y))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (pow.f64 y y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (pow.f64 y y))) (pow.f64 y y))))
(exp.f64 (+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y))))
(exp.f64 (+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y))))
(exp.f64 (+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y))))
(exp.f64 (+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y))))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(+.f64 (*.f64 -1 z) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (*.f64 -1 z) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (*.f64 -1 z) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(/.f64 1 (exp.f64 z))
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))))
(pow.f64 y y)
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 y y))) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 y y))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))))) (pow.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 y y))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y)))) (+.f64 (*.f64 -1/2 (pow.f64 y y)) (*.f64 1/6 (pow.f64 y y)))))) (pow.f64 y y))))
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(/.f64 1 (/.f64 (exp.f64 z) (pow.f64 y y)))
(/.f64 1 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1))
(/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (/.f64 (exp.f64 z) (cbrt.f64 (pow.f64 y y))))
(/.f64 (neg.f64 (pow.f64 y y)) (neg.f64 (exp.f64 z)))
(/.f64 (sqrt.f64 (pow.f64 y y)) (/.f64 (exp.f64 z) (sqrt.f64 (pow.f64 y y))))
(/.f64 -1 (neg.f64 (/.f64 (exp.f64 z) (pow.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y y))) (neg.f64 (neg.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (pow.f64 y y) 1) (exp.f64 z))
(/.f64 (/.f64 (pow.f64 y y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2)) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z))) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(pow.f64 (exp.f64 1) (-.f64 (*.f64 y (log.f64 y)) z))
(pow.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1) -1)
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y 3) y) (exp.f64 (*.f64 3 z))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(+.f64 (*.f64 y (log.f64 y)) (neg.f64 z))
(+.f64 (*.f64 y (log.f64 y)) (*.f64 (neg.f64 z) 1))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) 0)
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (+.f64 (neg.f64 z) z))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 -1 z z))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) z))
(+.f64 (neg.f64 z) (*.f64 y (log.f64 y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y)))) (log.f64 (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z)))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (*.f64 y (log.f64 y)) z))) (*.f64 1/3 (-.f64 (*.f64 y (log.f64 y)) z)))
(+.f64 (log.f64 (neg.f64 (pow.f64 y y))) (log.f64 (/.f64 1 (neg.f64 (exp.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z)))))
(+.f64 (*.f64 1/2 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 1/2 (-.f64 (*.f64 y (log.f64 y)) z)))
(+.f64 (*.f64 1/3 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 2 (*.f64 1/3 (-.f64 (*.f64 y (log.f64 y)) z))))
(+.f64 0 (-.f64 (*.f64 y (log.f64 y)) z))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) (log.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (exp.f64 z)))) (log.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z)))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) 1)) (log.f64 (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) (*.f64 1/3 (-.f64 (*.f64 y (log.f64 y)) z)))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (sqrt.f64 (exp.f64 z)))) (log.f64 (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1)) (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z)))))
(*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(*.f64 1 (-.f64 (*.f64 y (log.f64 y)) z))
(*.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
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(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)))
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(*.f64 -1 (-.f64 z (*.f64 y (log.f64 y))))
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(*.f64 (fma.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)))
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(/.f64 1 (/.f64 (fma.f64 y (log.f64 y) z) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z))))
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(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3))) (neg.f64 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z))) (neg.f64 (fma.f64 y (log.f64 y) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (pow.f64 (neg.f64 z) 2) (*.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (neg.f64 z) 2)) (fma.f64 y (log.f64 y) (neg.f64 (neg.f64 z))))
(pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2)
(pow.f64 (/.f64 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3))) -1)
(pow.f64 (/.f64 (fma.f64 y (log.f64 y) z) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z))) -1)
(neg.f64 (-.f64 z (*.f64 y (log.f64 y))))
(neg.f64 (log.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 2))
(log.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 y (log.f64 y)) z))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 (neg.f64 z))))
(log.f64 (*.f64 (exp.f64 (neg.f64 z)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(log.f64 (/.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 z))))
(log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 z)))
(log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 z))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (log.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (*.f64 y (log.f64 y)) z))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z))) 2))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(fma.f64 y (log.f64 y) (neg.f64 z))
(fma.f64 y (log.f64 y) (*.f64 (neg.f64 z) 1))
(fma.f64 (log.f64 y) y (neg.f64 z))
(fma.f64 (log.f64 y) y (*.f64 (neg.f64 z) 1))
(fma.f64 (*.f64 y (log.f64 y)) 1 (neg.f64 z))
(fma.f64 (*.f64 y (log.f64 y)) 1 (*.f64 (neg.f64 z) 1))
(fma.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1 (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1 (+.f64 (neg.f64 z) z))
(fma.f64 1 (*.f64 y (log.f64 y)) (neg.f64 z))
(fma.f64 1 (*.f64 y (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 1 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 1 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 1 (-.f64 (*.f64 y (log.f64 y)) z) (+.f64 (neg.f64 z) z))
(fma.f64 1 (neg.f64 z) (*.f64 y (log.f64 y)))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) (*.f64 (neg.f64 z) 1))
(fma.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (neg.f64 z))
(fma.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (*.f64 (neg.f64 z) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) (*.f64 (neg.f64 z) 1))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (neg.f64 (cbrt.f64 z)) (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (neg.f64 z))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (*.f64 (neg.f64 z) 1))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) (neg.f64 z))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) (*.f64 (neg.f64 z) 1))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2))) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 y (log.f64 y)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y (log.f64 y)))
(fma.f64 -1 z (*.f64 y (log.f64 y)))
(fma.f64 (fma.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (fma.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (fma.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 y (log.f64 y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (neg.f64 z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (neg.f64 z))
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (neg.f64 z) 1))
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 z) 1))
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y (*.f64 2 y))) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2)) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z))) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(pow.f64 (exp.f64 1) (-.f64 (*.f64 y (log.f64 y)) z))
(pow.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1) -1)
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y 3) y) (exp.f64 (*.f64 3 z))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (*.f64 y (log.f64 y)) z)) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (*.f64 y (log.f64 y)) z)) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 y (log.f64 y)) z)) 2))
(exp.f64 (*.f64 (-.f64 z (*.f64 y (log.f64 y))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
Outputs
(exp.f64 (neg.f64 z))
(+.f64 (exp.f64 (neg.f64 z)) (*.f64 y (*.f64 (exp.f64 (neg.f64 z)) (log.f64 y))))
(+.f64 (exp.f64 (neg.f64 z)) (*.f64 (*.f64 y (exp.f64 (neg.f64 z))) (log.f64 y)))
(fma.f64 y (*.f64 (exp.f64 (neg.f64 z)) (log.f64 y)) (exp.f64 (neg.f64 z)))
(fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))
(+.f64 (exp.f64 (neg.f64 z)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (log.f64 y) 2)))) (*.f64 y (*.f64 (exp.f64 (neg.f64 z)) (log.f64 y)))))
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (log.f64 y) 2))) (*.f64 (*.f64 y (exp.f64 (neg.f64 z))) (log.f64 y))))
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 y (*.f64 (exp.f64 (neg.f64 z)) (log.f64 y)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (*.f64 y (log.f64 y)) 2)))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (exp.f64 z)) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z))))
(+.f64 (exp.f64 (neg.f64 z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (log.f64 y) 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (log.f64 y) 2)))) (*.f64 y (*.f64 (exp.f64 (neg.f64 z)) (log.f64 y))))))
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 y 3) (exp.f64 (neg.f64 z))) (pow.f64 (log.f64 y) 3)) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (log.f64 y) 2))) (*.f64 (*.f64 y (exp.f64 (neg.f64 z))) (log.f64 y)))))
(+.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (*.f64 y (log.f64 y)) 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (*.f64 y (log.f64 y)) 2)))) (fma.f64 y (*.f64 (exp.f64 (neg.f64 z)) (log.f64 y)) (exp.f64 (neg.f64 z))))
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (exp.f64 z)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (exp.f64 z)) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))))
(pow.f64 y y)
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 y y))) (pow.f64 y y))
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (pow.f64 y y))
(*.f64 (+.f64 (neg.f64 z) 1) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 z (pow.f64 y y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (pow.f64 y y))) (pow.f64 y y)))
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 z z)) (pow.f64 y y)))
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (+.f64 (neg.f64 z) (*.f64 1/2 (*.f64 z z)))))
(fma.f64 (pow.f64 y y) (+.f64 (neg.f64 z) (*.f64 1/2 (*.f64 z z))) (pow.f64 y y))
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(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
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(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 y (log.f64 y)) z)) 2))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (-.f64 z (*.f64 y (log.f64 y))) -1))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))

eval117.0ms (3.8%)

Compiler

Compiled 4351 to 1622 computations (62.7% saved)

prune44.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2882290
Fresh000
Picked314
Done000
Total2913294
Accuracy
100.0%
Counts
294 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(pow.f64 y y)
82.1%
(exp.f64 (-.f64 x z))
56.4%
(exp.f64 (neg.f64 z))
51.8%
(pow.f64 y y)
82.1%
(exp.f64 (-.f64 x z))
56.4%
(exp.f64 (neg.f64 z))
Compiler

Compiled 38 to 28 computations (26.3% saved)

localize80.0ms (2.6%)

Compiler

Compiled 14 to 7 computations (50% saved)

eval1.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done011
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(pow.f64 y y)
82.1%
(exp.f64 (-.f64 x z))
56.4%
(exp.f64 (neg.f64 z))
Compiler

Compiled 68 to 34 computations (50% saved)

regimes41.0ms (1.3%)

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

7 calls:

7.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
7.0ms
(+.f64 x (*.f64 y (log.f64 y)))
6.0ms
y
6.0ms
z
6.0ms
(*.f64 y (log.f64 y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
100.0%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
100.0%1(+.f64 x (*.f64 y (log.f64 y)))
100.0%1(*.f64 y (log.f64 y))
Compiler

Compiled 100 to 55 computations (45% saved)

regimes75.0ms (2.4%)

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

4 calls:

27.0ms
x
21.0ms
z
11.0ms
y
10.0ms
(*.f64 y (log.f64 y))
Results
AccuracySegmentsBranch
96.9%5x
94.3%2y
92.3%3z
94.3%2(*.f64 y (log.f64 y))
Compiler

Compiled 59 to 31 computations (47.5% saved)

regimes15.0ms (0.5%)

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

1 calls:

13.0ms
y
Results
AccuracySegmentsBranch
92.7%2y
Compiler

Compiled 29 to 15 computations (48.3% saved)

regimes38.0ms (1.2%)

Counts
2 → 2
Calls
Call 1
Inputs
(exp.f64 (neg.f64 z))
(pow.f64 y y)
Outputs
(exp.f64 (neg.f64 z))
(pow.f64 y y)
Calls

3 calls:

15.0ms
z
12.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
73.7%5z
62.8%4x
75.4%2y
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes9.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(exp.f64 (neg.f64 z))
Outputs
(exp.f64 (neg.f64 z))
Calls

3 calls:

3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
56.4%1x
56.4%1z
56.4%1y
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3734691001490074e+48
2.8462513326403053e+50
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch15.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.2240518487537215e+46
2.5535717293285188e+48
Results
9.0ms67×body256infinite
5.0ms45×body256valid
Compiler

Compiled 123 to 90 computations (26.8% saved)

bsearch15.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
6.137624943722068e+37
4.138954047539338e+39
Results
9.0ms71×body256infinite
4.0ms41×body256valid
Compiler

Compiled 116 to 90 computations (22.4% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
10×+-commutative
sub-neg
*-commutative
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030139
139139
244139
345139
Stop Event
done
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) 4000000000000000175383372180304789418536190607360) (exp.f64 (-.f64 x z)) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 y 2499999999999999866225692368870448299218103697408) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 300000000000000012135895401846682943488) (exp.f64 (neg.f64 z)) (pow.f64 y y))
(exp.f64 (neg.f64 z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) 4000000000000000175383372180304789418536190607360) (exp.f64 (-.f64 x z)) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 y 2499999999999999866225692368870448299218103697408) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 300000000000000012135895401846682943488) (exp.f64 (neg.f64 z)) (pow.f64 y y))
(exp.f64 (neg.f64 z))
Compiler

Compiled 66 to 43 computations (34.8% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess56.0ms (1.8%)

Compiler

Compiled 156 to 80 computations (48.7% saved)

Profiling

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