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

Time bar (total: 3.3s)

analyze98.0ms (3%)

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)

sample1.4s (43.3%)

Results
850.0ms4783×body256infinite
471.0ms3473×body256valid
84.0ms1011×body256invalid
Bogosity

preprocess122.0ms (3.7%)

Algorithm
egg-herbie
Rules
1296×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
041328
199292
2265292
3779284
41888284
55494284
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 (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 (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 (+.f64 (*.f64 y (log.f64 y)) (neg.f64 x)) z))
(exp.f64 (-.f64 (-.f64 (*.f64 y (log.f64 y)) 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)))
(/.f64 (exp.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) y))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z)))
(exp.f64 (+.f64 x (fma.f64 y (log.f64 y) z)))
(*.f64 (pow.f64 y y) (exp.f64 (+.f64 x z)))
(exp.f64 (+.f64 (fma.f64 y (log.f64 y) 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 x (-.f64 (*.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)))
Compiler

Compiled 48 to 17 computations (64.6% saved)

eval1.0ms (0%)

Compiler

Compiled 19 to 11 computations (42.1% saved)

prune3.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
81.2%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
81.2%
(*.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)

localize63.0ms (1.9%)

Localize:

Found 3 expressions with local error:

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

Compiled 57 to 13 computations (77.2% saved)

series83.0ms (2.5%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
31.0ms
y
@0
(*.f64 y (log.f64 y))
16.0ms
y
@-inf
(*.f64 y (log.f64 y))
9.0ms
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)))

rewrite145.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
1115×log1p-expm1-u
1115×expm1-log1p-u
936×fma-def
392×expm1-udef
392×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01778
122474
2299974
Stop Event
node limit
Counts
3 → 81
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 0 (*.f64 y (log.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)
(pow.f64 (*.f64 y (log.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
(log.f64 (pow.f64 y y))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))
(cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 y (log.f64 y)))) (/.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 x (*.f64 y (log.f64 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 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y (log.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y (log.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 x 2)) (-.f64 (*.f64 y (log.f64 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))))
(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 (*.f64 y (log.f64 y)) 1 x)
(fma.f64 x 1 (*.f64 y (log.f64 y)))
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(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 (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)
(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))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))

simplify71.0ms (2.2%)

Algorithm
egg-herbie
Rules
1102×unswap-sqr
774×distribute-lft-in
758×distribute-rgt-in
544×cancel-sign-sub-inv
496×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02565730
16375288
222664656
Stop Event
node limit
Counts
137 → 145
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 0 (*.f64 y (log.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)
(pow.f64 (*.f64 y (log.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
(log.f64 (pow.f64 y y))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))
(cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 y (log.f64 y)))) (/.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 x (*.f64 y (log.f64 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 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y (log.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 y (log.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 x 2)) (-.f64 (*.f64 y (log.f64 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))))
(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 (*.f64 y (log.f64 y)) 1 x)
(fma.f64 x 1 (*.f64 y (log.f64 y)))
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(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 (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)
(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))
(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 (neg.f64 (log.f64 y)) (neg.f64 y))
(log.f64 (pow.f64 y y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(log.f64 (pow.f64 y y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(log.f64 (pow.f64 y y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(log.f64 (pow.f64 y 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 (neg.f64 (log.f64 y)) (neg.f64 y))
(log.f64 (pow.f64 y y))
x
x
x
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(log.f64 (pow.f64 y 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)
(+.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))
(+.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 (+.f64 (log.f64 (pow.f64 y y)) 1) (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 (pow.f64 y 2) (*.f64 (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 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 x z)))))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (log.f64 (pow.f64 y y)) (*.f64 (*.f64 1/2 (pow.f64 y 2)) (pow.f64 (log.f64 y) 2)))))
(+.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 (pow.f64 y 2) (*.f64 (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 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 x z))))))
(+.f64 (*.f64 (+.f64 (log.f64 (pow.f64 y y)) 1) (exp.f64 (-.f64 x z))) (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 (*.f64 1/2 (pow.f64 y 2)) (pow.f64 (log.f64 y) 2)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (pow.f64 (log.f64 y) 3)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.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 x 1) (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))) (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 1 x))
(+.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))))
(fma.f64 1/2 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))) (pow.f64 x 2)) (*.f64 (+.f64 x 1) (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))) (+.f64 (+.f64 1 x) (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.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)))))
(fma.f64 1/6 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))) (pow.f64 x 2)) (*.f64 (+.f64 x 1) (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))))))
(fma.f64 1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 x 3))) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))) (+.f64 (+.f64 1 x) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 1 x) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/6 x) 1/2))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 -1 x)))) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 -1 x)))) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 -1 x)))) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (neg.f64 (+.f64 z (*.f64 -1 x)))) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
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(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 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (log.f64 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) (*.f64 y (log.f64 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 (*.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 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 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.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 (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 x) (sqrt.f64 x) (*.f64 y (log.f64 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 (*.f64 y (log.f64 y))) (sqrt.f64 (*.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 (*.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 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (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)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(log.f64 (+.f64 1 (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)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (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 (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)))
(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 2362 to 924 computations (60.9% saved)

prune23.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1423145
Fresh000
Picked112
Done000
Total1434147
Accuracy
100.0%
Counts
147 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.2%
(/.f64 (pow.f64 y y) (exp.f64 z))
65.9%
(*.f64 (pow.f64 y y) (exp.f64 x))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
80.3%
(exp.f64 (-.f64 x z))
68.2%
(/.f64 (pow.f64 y y) (exp.f64 z))
65.9%
(*.f64 (pow.f64 y y) (exp.f64 x))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
80.3%
(exp.f64 (-.f64 x z))
Compiler

Compiled 74 to 50 computations (32.4% saved)

localize202.0ms (6.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.7%
(/.f64 (pow.f64 y y) (exp.f64 z))
100.0%
(*.f64 (pow.f64 y y) (exp.f64 x))
Compiler

Compiled 39 to 11 computations (71.8% saved)

series5.0ms (0.1%)

Counts
2 → 32
Calls

12 calls:

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

rewrite72.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
858×log-prod
749×log1p-expm1-u
749×expm1-log1p-u
542×pow-prod-down
498×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01552
117052
2205652
Stop Event
node limit
Counts
2 → 65
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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))))) (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))
(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 (*.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 (/.f64 (pow.f64 y y) (exp.f64 z)) (log.f64 (exp.f64 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 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.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 (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 (/.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 (*.f64 y (log.f64 y)) z))
(exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1) 1))
(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))))

simplify76.0ms (2.3%)

Algorithm
egg-herbie
Rules
904×unswap-sqr
686×distribute-lft-in
656×distribute-rgt-in
554×associate-*r/
502×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02413587
16263415
221523225
Stop Event
node limit
Counts
97 → 126
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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))))) (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))
(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 (*.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 (/.f64 (pow.f64 y y) (exp.f64 z)) (log.f64 (exp.f64 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 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.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 (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 (/.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 (*.f64 y (log.f64 y)) z))
(exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1) 1))
(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 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 (+.f64 (*.f64 y (log.f64 y)) 1) (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 (pow.f64 y 2) (*.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) (pow.f64 y 2)))))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (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 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))))))
(+.f64 (fma.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (exp.f64 x) (pow.f64 y 2))))) (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))
(+.f64 (*.f64 (+.f64 (*.f64 y (log.f64 y)) 1) (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2))) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (pow.f64 (log.f64 y) 3)))))
(*.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) (pow.f64 x 2)) (*.f64 (+.f64 x 1) (pow.f64 y y)))
(*.f64 (pow.f64 y y) (+.f64 (+.f64 x 1) (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (pow.f64 y y) (+.f64 x (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(+.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) (pow.f64 x 2)) (*.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 (pow.f64 x 2)))))
(*.f64 (pow.f64 y y) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/6 x) 1/2)) (+.f64 x 1)))
(*.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 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (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)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 y 2) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 z))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 y 2) (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 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z)) (+.f64 (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))) (exp.f64 (neg.f64 z)))))
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (exp.f64 z) (pow.f64 y 3))) (+.f64 (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 y 2) (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 (pow.f64 y 2) (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 (pow.f64 z 2) (*.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) (pow.f64 z 2))))
(*.f64 (pow.f64 y y) (+.f64 (+.f64 (neg.f64 z) 1) (*.f64 (pow.f64 z 2) 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 (pow.f64 z 2) (*.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) (pow.f64 z 2))) (*.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 (pow.f64 z 2) 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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))))) (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))
(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 (*.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 (*.f64 2 (log.f64 (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 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 (/.f64 (pow.f64 y y) (exp.f64 z)) (log.f64 (exp.f64 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 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(/.f64 (pow.f64 y 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 y y) (/.f64 (cbrt.f64 (exp.f64 z)) (pow.f64 (cbrt.f64 (exp.f64 z)) -2)))
(*.f64 (pow.f64 (exp.f64 z) -1/2) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(/.f64 (pow.f64 (exp.f64 z) -1/2) (/.f64 (sqrt.f64 (exp.f64 z)) (pow.f64 y y)))
(*.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 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (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 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(/.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 (cbrt.f64 (exp.f64 z)) -2) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (/.f64 (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 (/.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 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1) 1))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (*.f64 y (log.f64 y)) z)) 3))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (*.f64 y (log.f64 y)) z)) 1/3))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 y (log.f64 y)) z)) 2))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (-.f64 z (*.f64 y (log.f64 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))

eval29.0ms (0.9%)

Compiler

Compiled 1902 to 732 computations (61.5% saved)

prune22.0ms (0.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1224126
Fresh000
Picked213
Done011
Total1246130
Accuracy
100.0%
Counts
130 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(pow.f64 y y)
46.2%
(*.f64 (pow.f64 y y) (+.f64 x 1))
65.9%
(*.f64 (pow.f64 y y) (exp.f64 x))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
54.2%
(exp.f64 (neg.f64 z))
53.1%
(exp.f64 x)
50.8%
(pow.f64 y y)
46.2%
(*.f64 (pow.f64 y y) (+.f64 x 1))
65.9%
(*.f64 (pow.f64 y y) (exp.f64 x))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
54.2%
(exp.f64 (neg.f64 z))
53.1%
(exp.f64 x)
Compiler

Compiled 96 to 68 computations (29.2% saved)

localize51.0ms (1.6%)

Compiler

Compiled 33 to 14 computations (57.6% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done022
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(pow.f64 y y)
46.2%
(*.f64 (pow.f64 y y) (+.f64 x 1))
65.9%
(*.f64 (pow.f64 y y) (exp.f64 x))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
54.2%
(exp.f64 (neg.f64 z))
53.1%
(exp.f64 x)
Compiler

Compiled 99 to 55 computations (44.4% saved)

regimes44.0ms (1.3%)

Counts
9 → 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) (+.f64 x 1))
(*.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:

7.0ms
x
7.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
7.0ms
(*.f64 y (log.f64 y))
7.0ms
z
6.0ms
(+.f64 x (*.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 102 to 56 computations (45.1% saved)

regimes54.0ms (1.6%)

Counts
8 → 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) (+.f64 x 1))
(*.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:

24.0ms
x
16.0ms
z
12.0ms
y
Results
AccuracySegmentsBranch
91.4%3x
90.5%2y
89.5%2z
Compiler

Compiled 54 to 25 computations (53.7% saved)

regimes57.0ms (1.7%)

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

3 calls:

23.0ms
y
18.0ms
z
15.0ms
x
Results
AccuracySegmentsBranch
78.4%5z
76.9%4x
79.4%6y
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes20.0ms (0.6%)

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

2 calls:

10.0ms
z
9.0ms
x
Results
AccuracySegmentsBranch
75.5%3z
73.4%3x
Compiler

Compiled 16 to 12 computations (25% saved)

regimes10.0ms (0.3%)

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:

4.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
53.1%1x
53.1%1y
53.1%1z
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch8.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
1.2544304840416479e+95
2.1780869417072657e+95
Results
6.0ms51×body256infinite
1.0ms13×body256valid
Compiler

Compiled 78 to 57 computations (26.9% saved)

bsearch47.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2.659775208385232e+22
6.616886157475215e+24
11.0ms
-3.705949097630795e-258
-1.8464152738997237e-258
19.0ms
-2.144717733064854e+55
-1.774135727533714e+52
Results
28.0ms215×body256infinite
15.0ms105×body256valid
Compiler

Compiled 283 to 226 computations (20.1% saved)

bsearch39.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
6.533559030635312e+58
5.731300978603329e+67
16.0ms
-20602066644806.51
-4076405911.7448583
Results
21.0ms174×body256infinite
15.0ms98×body256valid
Compiler

Compiled 239 to 200 computations (16.3% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042217
155217
259217
360217
Stop Event
done
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 160000000000000003235020660344951518172175411714297238582044296993280640799706289497391652405248) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 x -2650000000000000088373753649851583969928092193579335680) (exp.f64 x) (if (<=.f64 x -4003204639133617/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (exp.f64 (neg.f64 z)) (if (<=.f64 x 27000000000000002097152) (pow.f64 y y) (exp.f64 x))))
(if (<=.f64 z -12500000000) (exp.f64 (neg.f64 z)) (if (<=.f64 z 660000000000000046224512567519766136199896514795083297301576286208) (exp.f64 x) (exp.f64 (neg.f64 z))))
(exp.f64 x)
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 160000000000000003235020660344951518172175411714297238582044296993280640799706289497391652405248) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 x -2650000000000000088373753649851583969928092193579335680) (exp.f64 x) (if (<=.f64 x -4003204639133617/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (exp.f64 (neg.f64 z)) (if (<=.f64 x 27000000000000002097152) (pow.f64 y y) (exp.f64 x))))
(if (<=.f64 z -12500000000) (exp.f64 (neg.f64 z)) (if (<=.f64 z 660000000000000046224512567519766136199896514795083297301576286208) (exp.f64 x) (exp.f64 (neg.f64 z))))
(if (or (<=.f64 z -12500000000) (not (<=.f64 z 660000000000000046224512567519766136199896514795083297301576286208))) (exp.f64 (neg.f64 z)) (exp.f64 x))
(exp.f64 x)
Compiler

Compiled 73 to 50 computations (31.5% saved)

soundness405.0ms (12.4%)

Rules
1296×fma-neg
1112×fma-def
1102×unswap-sqr
1102×unswap-sqr
964×exp-sum
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041328
199292
2265292
3779284
41888284
55494284
02565730
16375288
222664656
02565730
16375288
222664656
02413587
16263415
221523225
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 115 to 52 computations (54.8% saved)

end0.0ms (0%)

preprocess61.0ms (1.9%)

Compiler

Compiled 170 to 98 computations (42.4% saved)

Profiling

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