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

Time bar (total: 3.4s)

analyze35.0ms (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)

sample1.5s (45.9%)

Results
970.0ms4789×body256infinite
420.0ms3467×body256valid
141.0ms1035×body256invalid
Bogosity

preprocess113.0ms (3.4%)

Algorithm
egg-herbie
Rules
1302×fma-neg
1112×fma-def
964×exp-sum
606×times-frac
528×cancel-sign-sub-inv
Problems
256×No Errors
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
75.8%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
75.8%
(*.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)

localize110.0ms (3.3%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.0%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(+.f64 x (*.f64 y (log.f64 y)))
99.6%
(*.f64 y (log.f64 y))
Compiler

Compiled 57 to 13 computations (77.2% saved)

series85.0ms (2.5%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
31.0ms
y
@0
(*.f64 y (log.f64 y))
18.0ms
y
@-inf
(*.f64 y (log.f64 y))
14.0ms
x
@inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
8.0ms
y
@inf
(*.f64 y (log.f64 y))
8.0ms
z
@inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite88.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1382×log-prod
954×fma-def
772×pow-prod-up
664×pow-exp
506×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01351
127447
2372847
Stop Event
node limit
Counts
3 → 111
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(+.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 (cbrt.f64 (pow.f64 y y))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y))))
(+.f64 0 (log.f64 (pow.f64 y y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y))) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (pow.f64 1 y)) (log.f64 (pow.f64 y y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 y y)) 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))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 y y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 y y)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 y y)))) 2))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(-.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)
(pow.f64 (/.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))) -1)
(pow.f64 (/.f64 (-.f64 x (log.f64 (pow.f64 y y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) -1)
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y (log.f64 y) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) 2))
(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 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(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 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (log.f64 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 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(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 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) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 0 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(pow.f64 (exp.f64 1) (fma.f64 y (log.f64 y) (-.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.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 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 y (log.f64 y) (-.f64 x z))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 y (log.f64 y) (-.f64 x z))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))

simplify83.0ms (2.5%)

Algorithm
egg-herbie
Rules
1110×distribute-lft-in
1078×unswap-sqr
1076×distribute-rgt-in
880×times-frac
518×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03315053
18174597
226683973
Stop Event
node limit
Counts
167 → 173
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 (log.f64 -1) (*.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) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (log.f64 y))
x
x
x
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 x (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 x (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 x (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(+.f64 x (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 x (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 x (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 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 (*.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)) (+.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)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(+.f64 (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (+.f64 (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (+.f64 (*.f64 x (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 -1 x)))) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 -1 x)))) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 -1 x)))) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 -1 x)))) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 z (*.f64 (exp.f64 x) (pow.f64 y y)))) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 z (*.f64 (exp.f64 x) (pow.f64 y y)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 x) (pow.f64 y y)))) (*.f64 (exp.f64 x) (pow.f64 y y))))
(+.f64 (*.f64 -1 (*.f64 z (*.f64 (exp.f64 x) (pow.f64 y y)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 3) (*.f64 (exp.f64 x) (pow.f64 y y)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (*.f64 (exp.f64 x) (pow.f64 y y)))) (*.f64 (exp.f64 x) (pow.f64 y y)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 x (*.f64 -1 z))) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 x (*.f64 -1 z))) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 x (*.f64 -1 z))) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 x (*.f64 -1 z))) (pow.f64 y y))
(+.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 (cbrt.f64 (pow.f64 y y))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y))))
(+.f64 0 (log.f64 (pow.f64 y y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y))) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (pow.f64 1 y)) (log.f64 (pow.f64 y y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 y y)) 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))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 y y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 y y)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 y y)))) 2))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(-.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)
(pow.f64 (/.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))) -1)
(pow.f64 (/.f64 (-.f64 x (log.f64 (pow.f64 y y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) -1)
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y (log.f64 y) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) 2))
(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 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(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 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (log.f64 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 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(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 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) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 0 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(pow.f64 (exp.f64 1) (fma.f64 y (log.f64 y) (-.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.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 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 y (log.f64 y) (-.f64 x z))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 y (log.f64 y) (-.f64 x z))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.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))))
(*.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)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(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)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(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)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(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)
(+.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)
(exp.f64 (-.f64 x z))
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(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 (-.f64 x z)) 3)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (*.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1) 1))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 y (log.f64 y) (-.f64 x z))) 3))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 y (log.f64 y) (-.f64 x z))) 1/3))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))

eval37.0ms (1.1%)

Compiler

Compiled 2819 to 1037 computations (63.2% saved)

prune30.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1703173
Fresh000
Picked112
Done000
Total1714175
Accuracy
100.0%
Counts
175 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(/.f64 (pow.f64 y y) (exp.f64 z))
64.7%
(*.f64 (pow.f64 y y) (exp.f64 x))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
78.1%
(exp.f64 (-.f64 x z))
65.6%
(/.f64 (pow.f64 y y) (exp.f64 z))
64.7%
(*.f64 (pow.f64 y y) (exp.f64 x))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
78.1%
(exp.f64 (-.f64 x z))
Compiler

Compiled 74 to 50 computations (32.4% saved)

localize173.0ms (5.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.0%
(/.f64 (pow.f64 y y) (exp.f64 z))
99.7%
(*.f64 (pow.f64 y y) (exp.f64 x))
Compiler

Compiled 39 to 11 computations (71.8% saved)

series4.0ms (0.1%)

Counts
2 → 32
Calls

12 calls:

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

rewrite69.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1122×log-prod
666×pow-prod-down
648×pow-prod-up
632×prod-exp
526×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
122034
2273434
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
Outputs
(+.f64 0 (*.f64 (pow.f64 y y) (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) 1)
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(exp.f64 (fma.f64 y (log.f64 y) x))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) x) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 y (log.f64 y) x) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 y (log.f64 y) x)) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 y (log.f64 y) x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 y (log.f64 y) x)) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 y y)) 1) x))
(exp.f64 (+.f64 x (*.f64 (log.f64 (pow.f64 y y)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 2)) (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 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.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 (pow.f64 (sqrt.f64 y) y) (*.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 (neg.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 (pow.f64 (cbrt.f64 (exp.f64 z)) -2) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (pow.f64 (exp.f64 z) -1/2) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) 1) (/.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 z)))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 (sqrt.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 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)) 1/3)
(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 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (-.f64 (log.f64 (pow.f64 y y)) z))
(exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (pow.f64 y y)) z)) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (pow.f64 y y)) z)) 2))
(exp.f64 (*.f64 (-.f64 z (log.f64 (pow.f64 y y))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 y y)) 1) (neg.f64 z)))
(exp.f64 (+.f64 (neg.f64 z) (*.f64 (log.f64 (pow.f64 y y)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))

simplify64.0ms (1.9%)

Algorithm
egg-herbie
Rules
914×unswap-sqr
748×distribute-lft-in
720×distribute-rgt-in
566×associate-/l*
508×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02462623
16502455
222612379
Stop Event
node limit
Counts
101 → 130
Calls
Call 1
Inputs
(exp.f64 x)
(+.f64 (exp.f64 x) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))))
(+.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y)))))
(+.f64 (exp.f64 x) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 y y)
(+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 y y))) (+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 y y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 y y))) (+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y 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 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) 1)
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(exp.f64 (fma.f64 y (log.f64 y) x))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) x) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 y (log.f64 y) x) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 y (log.f64 y) x)) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 y (log.f64 y) x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 y (log.f64 y) x)) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 y y)) 1) x))
(exp.f64 (+.f64 x (*.f64 (log.f64 (pow.f64 y y)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 2)) (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 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.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 (pow.f64 (sqrt.f64 y) y) (*.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 (neg.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 (pow.f64 (cbrt.f64 (exp.f64 z)) -2) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (pow.f64 (exp.f64 z) -1/2) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) 1) (/.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 z)))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 (sqrt.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 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)) 1/3)
(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 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (-.f64 (log.f64 (pow.f64 y y)) z))
(exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (pow.f64 y y)) z)) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (pow.f64 y y)) z)) 2))
(exp.f64 (*.f64 (-.f64 z (log.f64 (pow.f64 y y))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 y y)) 1) (neg.f64 z)))
(exp.f64 (+.f64 (neg.f64 z) (*.f64 (log.f64 (pow.f64 y y)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
Outputs
(exp.f64 x)
(+.f64 (exp.f64 x) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))))
(fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))
(+.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y)))))
(+.f64 (exp.f64 x) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y)))))
(+.f64 (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (exp.f64 x) (*.f64 y y)))))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 (*.f64 1/2 (*.f64 y y)) (pow.f64 (log.f64 y) 2)))))
(+.f64 (exp.f64 x) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))))))
(+.f64 (exp.f64 x) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))))))
(+.f64 (fma.f64 1/6 (*.f64 (exp.f64 x) (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (exp.f64 x) (*.f64 y y))))) (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))
(+.f64 (exp.f64 x) (fma.f64 1/6 (*.f64 (exp.f64 x) (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))) (*.f64 (exp.f64 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 (*.f64 1/2 (*.f64 y y)) (pow.f64 (log.f64 y) 2))))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 y y)
(+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))
(*.f64 (+.f64 x 1) (pow.f64 y y))
(*.f64 (pow.f64 y y) (+.f64 x 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 y y))) (+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y)))
(fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 x x)) (*.f64 (+.f64 x 1) (pow.f64 y y)))
(*.f64 (pow.f64 y y) (+.f64 (+.f64 x 1) (*.f64 1/2 (*.f64 x x))))
(*.f64 (pow.f64 y y) (+.f64 x (+.f64 1 (*.f64 1/2 (*.f64 x x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 y y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 y y))) (+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))))
(fma.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 x x)) (*.f64 (+.f64 x 1) (pow.f64 y y))))
(fma.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3)) (*.f64 (pow.f64 y y) (+.f64 (+.f64 x 1) (*.f64 1/2 (*.f64 x x)))))
(*.f64 (pow.f64 y y) (+.f64 (+.f64 x 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) 1/2))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(/.f64 1 (exp.f64 z))
(exp.f64 (neg.f64 z))
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(+.f64 (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))) (exp.f64 (neg.f64 z)))
(+.f64 (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (exp.f64 (neg.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))))
(fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 2))) (+.f64 (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))) (exp.f64 (neg.f64 z))))
(+.f64 (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 z))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (+.f64 (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (exp.f64 (neg.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)))))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 2))) (+.f64 (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))) (exp.f64 (neg.f64 z)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) (exp.f64 z)) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 z)))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) (exp.f64 z)) (pow.f64 (log.f64 y) 3)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (+.f64 (*.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 (pow.f64 y y) z) (pow.f64 y y))
(*.f64 (+.f64 (neg.f64 z) 1) (pow.f64 y y))
(*.f64 (pow.f64 y y) (-.f64 1 z))
(+.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)))
(fma.f64 -1 (*.f64 (pow.f64 y y) z) (fma.f64 -1 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y y) -1/2)) (pow.f64 y y)))
(+.f64 (*.f64 (+.f64 (neg.f64 z) 1) (pow.f64 y y)) (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 z z))))
(*.f64 (pow.f64 y y) (+.f64 (+.f64 (neg.f64 z) 1) (*.f64 (*.f64 z z) 1/2)))
(+.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))))
(fma.f64 -1 (*.f64 (pow.f64 y y) z) (fma.f64 -1 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y y) -1/2)) (fma.f64 -1 (*.f64 (pow.f64 z 3) (fma.f64 -1 (*.f64 (pow.f64 y y) -1/2) (*.f64 (pow.f64 y y) -1/3))) (pow.f64 y y))))
(+.f64 (-.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 z z))) (*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y y) -1/3 (*.f64 1/2 (pow.f64 y y))))) (*.f64 (+.f64 (neg.f64 z) 1) (pow.f64 y y)))
(-.f64 (*.f64 (pow.f64 y y) (+.f64 (+.f64 (neg.f64 z) 1) (*.f64 (*.f64 z z) 1/2))) (*.f64 (pow.f64 z 3) (*.f64 1/6 (pow.f64 y y))))
(+.f64 0 (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) 1)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2) 1/2)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)
(*.f64 (exp.f64 x) (pow.f64 y y))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))
(*.f64 (exp.f64 x) (pow.f64 y y))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))
(*.f64 (exp.f64 x) (pow.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (fma.f64 y (log.f64 y) x))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) x) 1))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (*.f64 (*.f64 (fma.f64 y (log.f64 y) x) 1) 1))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 y (log.f64 y) x)) 3))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 y (log.f64 y) x)) 1/3))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 y (log.f64 y) x)) 2))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 y y)) 1) x))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (+.f64 x (*.f64 (log.f64 (pow.f64 y y)) 1)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(*.f64 3 (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 2 (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 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(/.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 y y) (exp.f64 z))
(*.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 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 (sqrt.f64 y) y) (*.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 (neg.f64 z))))
(*.f64 (pow.f64 (sqrt.f64 y) y) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (sqrt.f64 y) y)))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (sqrt.f64 y) (*.f64 2 y)))
(/.f64 (pow.f64 (sqrt.f64 y) (*.f64 2 y)) (exp.f64 z))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) -2) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) -2) (/.f64 (cbrt.f64 (exp.f64 z)) (pow.f64 y y)))
(*.f64 (pow.f64 (exp.f64 z) -1/2) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) 1) (/.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 z)))
(*.f64 (pow.f64 (sqrt.f64 y) y) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (sqrt.f64 y) y)))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (sqrt.f64 y) (*.f64 2 y)))
(/.f64 (pow.f64 (sqrt.f64 y) (*.f64 2 y)) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 (sqrt.f64 y) y) (cbrt.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 (sqrt.f64 y) (*.f64 2 y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (pow.f64 (sqrt.f64 y) (*.f64 2 y)) (cbrt.f64 (exp.f64 z))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2) 1/2)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)))
(pow.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1) -1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(/.f64 (pow.f64 y y) (exp.f64 z))
(cbrt.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (-.f64 (log.f64 (pow.f64 y y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1) 1))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)) 3))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (pow.f64 y y)) z)) 1/3))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (pow.f64 y y)) z)) 2))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (-.f64 z (log.f64 (pow.f64 y y))) -1))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 y y)) 1) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (+.f64 (neg.f64 z) (*.f64 (log.f64 (pow.f64 y y)) 1)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))

eval33.0ms (1%)

Compiler

Compiled 1909 to 708 computations (62.9% saved)

prune23.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1273130
Fresh000
Picked303
Done101
Total1313134
Accuracy
100.0%
Counts
134 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(pow.f64 y y)
56.9%
(exp.f64 (neg.f64 z))
47.2%
(exp.f64 x)
53.0%
(pow.f64 y y)
56.9%
(exp.f64 (neg.f64 z))
47.2%
(exp.f64 x)
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize56.0ms (1.7%)

Compiler

Compiled 17 to 8 computations (52.9% saved)

eval0.0ms (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
Picked033
Done000
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(pow.f64 y y)
56.9%
(exp.f64 (neg.f64 z))
47.2%
(exp.f64 x)
Compiler

Compiled 61 to 31 computations (49.2% saved)

regimes47.0ms (1.4%)

Counts
8 → 1
Calls
Call 1
Inputs
(exp.f64 x)
(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))
(*.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:

12.0ms
x
7.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
7.0ms
(*.f64 y (log.f64 y))
6.0ms
(+.f64 x (*.f64 y (log.f64 y)))
6.0ms
z
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 95 to 53 computations (44.2% saved)

regimes85.0ms (2.5%)

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

3 calls:

51.0ms
x
16.0ms
z
15.0ms
y
Results
AccuracySegmentsBranch
88.4%6x
91.5%2y
88.0%3z
Compiler

Compiled 47 to 22 computations (53.2% saved)

regimes71.0ms (2.1%)

Counts
3 → 4
Calls
Call 1
Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
Outputs
(exp.f64 (neg.f64 z))
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
Calls

3 calls:

28.0ms
z
24.0ms
y
18.0ms
x
Results
AccuracySegmentsBranch
78.0%5x
81.6%7z
78.5%4y
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes40.0ms (1.2%)

Counts
2 → 3
Calls
Call 1
Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
Outputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(exp.f64 x)
Calls

3 calls:

21.0ms
y
10.0ms
x
9.0ms
z
Results
AccuracySegmentsBranch
72.1%3x
72.0%3z
59.1%3y
Compiler

Compiled 20 to 15 computations (25% saved)

regimes38.0ms (1.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

32.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
47.2%1y
47.2%1z
47.2%1x
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch9.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
9.627406407673386e+107
1.8306462712429513e+108
Results
6.0ms47×body256infinite
2.0ms17×body256valid
Compiler

Compiled 78 to 57 computations (26.9% saved)

bsearch29.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
narrow-enough
Steps
TimeLeftRight
7.0ms
5.605710319252913e+49
7.079229193079652e+49
8.0ms
1.8027270024220665e-193
5.912572642918228e-193
14.0ms
2.4659334746769603e-281
9.915690477878526e-281
Results
15.0ms119×body256valid
10.0ms89×body256infinite
Compiler

Compiled 190 to 156 computations (17.9% saved)

bsearch38.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
46.48802571811745
7122123.30468633
19.0ms
-1.3968541607306442e+94
-8.826198105871869e+85
Results
20.0ms160×body256infinite
15.0ms128×body256valid
Compiler

Compiled 252 to 211 computations (16.3% saved)

simplify10.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
*-commutative
neg-mul-1
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038153
151153
255153
356153
Stop Event
done
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 1200000000000000092946911049766233322404979286935558580173707735653418342353036503423451213598299813400543232) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 4577978668398359/81749619078542123485445026325988907666122803627436340899944335050228199090952768134551878266578358316619466622738124605193111060004601596343876476857746694976307432364076469310158345070361107955001481492256519126766829996241750851128887511795631888691491672345630967465671003964634890646646161408) (exp.f64 (neg.f64 z)) (if (<=.f64 y 4109481173084667/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (exp.f64 x) (if (<=.f64 y 56999999999999998118212579180582437641534438375424) (exp.f64 (neg.f64 z)) (pow.f64 y y))))
(if (<=.f64 x -1549999999999999981267099526802670473395031457528062627175192887090865033614134391865344) (exp.f64 x) (if (<=.f64 x 680) (exp.f64 (neg.f64 z)) (exp.f64 x)))
(exp.f64 x)
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 1200000000000000092946911049766233322404979286935558580173707735653418342353036503423451213598299813400543232) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 4577978668398359/81749619078542123485445026325988907666122803627436340899944335050228199090952768134551878266578358316619466622738124605193111060004601596343876476857746694976307432364076469310158345070361107955001481492256519126766829996241750851128887511795631888691491672345630967465671003964634890646646161408) (exp.f64 (neg.f64 z)) (if (<=.f64 y 4109481173084667/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (exp.f64 x) (if (<=.f64 y 56999999999999998118212579180582437641534438375424) (exp.f64 (neg.f64 z)) (pow.f64 y y))))
(if (<=.f64 x -1549999999999999981267099526802670473395031457528062627175192887090865033614134391865344) (exp.f64 x) (if (<=.f64 x 680) (exp.f64 (neg.f64 z)) (exp.f64 x)))
(exp.f64 x)
Compiler

Compiled 75 to 49 computations (34.7% saved)

soundness379.0ms (11.3%)

Rules
1302×fma-neg
1112×fma-def
1110×distribute-lft-in
1110×distribute-lft-in
1078×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037232
195196
2261196
3775188
41883188
55492188
03315053
18174597
226683973
03315053
18174597
226683973
02462623
16502455
222612379
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 115 to 52 computations (54.8% saved)

end0.0ms (0%)

preprocess61.0ms (1.8%)

Compiler

Compiled 174 to 96 computations (44.8% saved)

Profiling

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