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

Time bar (total: 3.9s)

analyze37.0ms (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)

sample1.6s (41.8%)

Results
907.0ms4762×body256infinite
552.0ms3494×body256valid
140.0ms1071×body256invalid
Bogosity

preprocess71.0ms (1.8%)

Algorithm
egg-herbie
Rules
1302×fma-neg
1112×fma-def
964×exp-sum
606×times-frac
528×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037205
195173
2261173
3775165
41883165
55492165
Stop Event
node limit
Calls
Call 1
Inputs
(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 (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 15 to 11 computations (26.7% saved)

simplify85.0ms (2.2%)

Algorithm
egg-herbie
Rules
1234×fma-def
1016×unswap-sqr
784×associate-*r/
778×associate-/l/
654×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
12023
24423
39223
416023
531523
697323
7256723
8524423
9594123
10737623
Stop Event
node limit
Counts
1 → 4
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
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)))

eval1.0ms (0%)

Compiler

Compiled 37 to 18 computations (51.4% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New224
Fresh011
Picked000
Done000
Total235
Accurracy
100.0%
Counts
5 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
82.8%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 46 to 30 computations (34.8% saved)

localize57.0ms (1.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.6%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
100.0%
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) 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)

series132.0ms (3.4%)

Counts
4 → 88
Calls

27 calls:

TimeVariablePointExpression
62.0ms
y
@0
(*.f64 y (log.f64 y))
30.0ms
x
@inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
21.0ms
y
@-inf
(*.f64 y (log.f64 y))
6.0ms
y
@inf
(*.f64 y (log.f64 y))
4.0ms
z
@inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite114.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1556×fma-def
1532×log-prod
562×expm1-udef
562×log1p-udef
534×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01474
130566
2438166
Stop Event
node limit
Counts
4 → 257
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(+.f64 x (*.f64 y (log.f64 y)))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
Outputs
(+.f64 (*.f64 y (log.f64 y)) 0)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 y y))) (log.f64 (cbrt.f64 (pow.f64 y (+.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(+.f64 0 (*.f64 y (log.f64 y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 y (+.f64 y y)))) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (pow.f64 1 y)) (*.f64 y (log.f64 y)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) y)) (log.f64 (pow.f64 (cbrt.f64 y) y)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 y) y)) (log.f64 (pow.f64 (sqrt.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 x x) (-.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) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (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) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (*.f64 x x) (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) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (-.f64 (*.f64 x x) (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) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (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) (*.f64 x x)) (-.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))))
(log.f64 (*.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (*.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 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(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 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 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 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 (*.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 (*.f64 y (log.f64 y)) (-.f64 x z))
(+.f64 x (fma.f64 y (log.f64 y) (neg.f64 z)))
(+.f64 x (*.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) 1))
(+.f64 (fma.f64 y (log.f64 y) x) (neg.f64 z))
(+.f64 (fma.f64 y (log.f64 y) x) (*.f64 (neg.f64 z) 1))
(+.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 0)
(+.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (+.f64 (neg.f64 z) z))
(+.f64 (-.f64 x z) (*.f64 y (log.f64 y)))
(+.f64 (neg.f64 z) (fma.f64 y (log.f64 y) x))
(+.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)) (log.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x z)))) (log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))))
(+.f64 0 (fma.f64 y (log.f64 y) (-.f64 x z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) 2)) (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 y (+.f64 y y)))) (log.f64 (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))))
(+.f64 (log.f64 (*.f64 (pow.f64 y y) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x z))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x z)))))
(+.f64 (log.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x z)))))
(+.f64 (log.f64 (*.f64 (exp.f64 (-.f64 x z)) (cbrt.f64 (pow.f64 y (+.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (*.f64 (exp.f64 (-.f64 x z)) (sqrt.f64 (pow.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1)
(*.f64 1 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) (+.f64 x z))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2)) (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3))))
(/.f64 1 (/.f64 (fma.f64 y (log.f64 y) (+.f64 x z)) (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) (+.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3))) (neg.f64 (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z))) (neg.f64 (fma.f64 y (log.f64 y) (+.f64 x z))))
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(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)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))

simplify141.0ms (3.7%)

Algorithm
egg-herbie
Rules
1358×times-frac
1320×fma-neg
682×log-prod
608×fma-def
484×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05909967
114279347
247459347
Stop Event
node limit
Counts
345 → 372
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))))
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x
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(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)))
(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 (neg.f64 (log.f64 y)) (neg.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 (neg.f64 (log.f64 y)) (neg.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 (neg.f64 (log.f64 y)) (neg.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 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) 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 (neg.f64 (log.f64 y)) (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(fma.f64 -1 (*.f64 y (neg.f64 (log.f64 y))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(fma.f64 -1 (*.f64 y (neg.f64 (log.f64 y))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(fma.f64 -1 (*.f64 y (neg.f64 (log.f64 y))) x)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 y (log.f64 y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
x
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
x
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 x z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(*.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 (neg.f64 (log.f64 y)) (neg.f64 y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z)
(-.f64 (fma.f64 -1 (*.f64 y (neg.f64 (log.f64 y))) x) z)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) (-.f64 x z))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z)
(-.f64 (fma.f64 -1 (*.f64 y (neg.f64 (log.f64 y))) x) z)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) (-.f64 x z))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z)
(-.f64 (fma.f64 -1 (*.f64 y (neg.f64 (log.f64 y))) x) z)
(fma.f64 (neg.f64 y) (neg.f64 (log.f64 y)) (-.f64 x z))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x) z)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 x z))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x) z)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 x z))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x) z)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 x z))
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(fma.f64 y (log.f64 y) (-.f64 x z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(fma.f64 y (log.f64 y) (-.f64 x z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(fma.f64 y (log.f64 y) (-.f64 x z))
(exp.f64 (-.f64 x z))
(+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (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 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))))
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (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 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (+.f64 (exp.f64 (-.f64 x z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (+.f64 (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))) (*.f64 1/6 (*.f64 (*.f64 (pow.f64 y 3) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 3)))))
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (fma.f64 1/6 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 3)) (exp.f64 (-.f64 x z)))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))
(*.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y))))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y)))
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x))))
(fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (*.f64 x x))) (*.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y)))))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (*.f64 x x) 1/2)))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y)) (*.f64 (*.f64 (/.f64 1/2 (exp.f64 z)) (pow.f64 y y)) (*.f64 x x)))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))))
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (*.f64 x x))) (*.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y))))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (pow.f64 x 3)) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (*.f64 x x) 1/2))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (pow.f64 x 3)) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y)) (*.f64 (*.f64 (/.f64 1/2 (exp.f64 z)) (pow.f64 y y)) (*.f64 x x))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z))))
(fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x)))))
(-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))))
(fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z))) (fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x))))))
(-.f64 (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z))) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 z (*.f64 z (exp.f64 x)))) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z))))))
(fma.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3))) (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z))) (fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x)))))))
(fma.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3))) (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z))) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3))) (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 z (*.f64 z (exp.f64 x)))) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x)))))
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
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(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 x z))
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 0 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.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 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (exp.f64 1) (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.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))))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 (-.f64 x z)) 3)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))

eval77.0ms (2%)

Compiler

Compiled 6406 to 2068 computations (67.7% saved)

prune77.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3675372
Fresh000
Picked202
Done000
Total3695374
Accurracy
100.0%
Counts
374 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.5%
(/.f64 (pow.f64 y y) (exp.f64 z))
74.0%
(*.f64 (pow.f64 y y) (exp.f64 x))
81.4%
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
77.8%
(exp.f64 (-.f64 x z))
51.7%
(exp.f64 (neg.f64 z))
68.5%
(/.f64 (pow.f64 y y) (exp.f64 z))
74.0%
(*.f64 (pow.f64 y y) (exp.f64 x))
81.4%
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
77.8%
(exp.f64 (-.f64 x z))
51.7%
(exp.f64 (neg.f64 z))
Compiler

Compiled 164 to 116 computations (29.3% saved)

localize303.0ms (7.9%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
98.3%
(/.f64 (pow.f64 y y) (exp.f64 z))
100.0%
(-.f64 (*.f64 y (log.f64 y)) z)
99.8%
(*.f64 y (log.f64 y))
Compiler

Compiled 66 to 17 computations (74.2% saved)

series3.0ms (0.1%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
y
@inf
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
z
@inf
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
z
@-inf
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
y
@0
(/.f64 (pow.f64 y y) (exp.f64 z))

rewrite104.0ms (2.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
123334
2313534
Stop Event
node limit
Counts
2 → 175
Calls
Call 1
Inputs
(-.f64 (*.f64 y (log.f64 y)) z)
(/.f64 (pow.f64 y y) (exp.f64 z))
Outputs
(+.f64 (log.f64 (pow.f64 y y)) (neg.f64 z))
(+.f64 (log.f64 (pow.f64 y y)) (*.f64 (neg.f64 z) 1))
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 0)
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) (+.f64 (neg.f64 z) z))
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 -1 z z))
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) z))
(+.f64 (neg.f64 z) (log.f64 (pow.f64 y y)))
(+.f64 0 (-.f64 (log.f64 (pow.f64 y y)) z))
(+.f64 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)) (*.f64 2 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 y y)))) (log.f64 (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z)))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z))) (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)))
(+.f64 (log.f64 (neg.f64 (pow.f64 y y))) (log.f64 (/.f64 1 (neg.f64 (exp.f64 z)))))
(+.f64 (*.f64 1/2 (-.f64 (log.f64 (pow.f64 y y)) z)) (*.f64 1/2 (-.f64 (log.f64 (pow.f64 y y)) z)))
(+.f64 (log.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 z 2))))) (log.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (exp.f64 z)))) (log.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (cbrt.f64 (exp.f64 (*.f64 z 2))))) (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z)))) (log.f64 (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1)) (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 (*.f64 z 2))))) (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z)))))
(*.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1)
(*.f64 1 (-.f64 (log.f64 (pow.f64 y y)) z))
(*.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 3 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)))
(*.f64 2 (*.f64 1/2 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 -1 (-.f64 z (log.f64 (pow.f64 y y))))
(*.f64 1/3 (*.f64 3 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3))))
(/.f64 1 (/.f64 (fma.f64 y (log.f64 y) z) (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3))) (neg.f64 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z))) (neg.f64 (fma.f64 y (log.f64 y) z)))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 (pow.f64 (neg.f64 z) 2) (*.f64 (log.f64 (pow.f64 y y)) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (pow.f64 (neg.f64 z) 2)) (-.f64 (log.f64 (pow.f64 y y)) (neg.f64 z)))
(pow.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2)
(pow.f64 (/.f64 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3))) -1)
(pow.f64 (/.f64 (fma.f64 y (log.f64 y) z) (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z))) -1)
(neg.f64 (-.f64 z (log.f64 (pow.f64 y y))))
(neg.f64 (log.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 2))
(log.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (pow.f64 y y)) z))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 (neg.f64 z))))
(log.f64 (*.f64 (exp.f64 (neg.f64 z)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(log.f64 (/.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 z))))
(log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 z)))
(log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 z))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(exp.f64 (log.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 (pow.f64 y y)) z))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(fma.f64 y (log.f64 y) (neg.f64 z))
(fma.f64 y (log.f64 y) (*.f64 (neg.f64 z) 1))
(fma.f64 (log.f64 y) y (neg.f64 z))
(fma.f64 (log.f64 y) y (*.f64 (neg.f64 z) 1))
(fma.f64 (log.f64 (pow.f64 y y)) 1 (neg.f64 z))
(fma.f64 (log.f64 (pow.f64 y y)) 1 (*.f64 (neg.f64 z) 1))
(fma.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1 (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1 (+.f64 (neg.f64 z) z))
(fma.f64 1 (log.f64 (pow.f64 y y)) (neg.f64 z))
(fma.f64 1 (log.f64 (pow.f64 y y)) (*.f64 (neg.f64 z) 1))
(fma.f64 1 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 1 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 1 (-.f64 (log.f64 (pow.f64 y y)) z) (+.f64 (neg.f64 z) z))
(fma.f64 1 (neg.f64 z) (log.f64 (pow.f64 y y)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) (*.f64 (neg.f64 z) 1))
(fma.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (neg.f64 z))
(fma.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (*.f64 (neg.f64 z) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (cbrt.f64 (log.f64 (pow.f64 y y))) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (cbrt.f64 (log.f64 (pow.f64 y y))) (*.f64 (neg.f64 z) 1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (neg.f64 (cbrt.f64 z)) (log.f64 (pow.f64 y y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (neg.f64 z))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (*.f64 (neg.f64 z) 1))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) (neg.f64 z))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) (*.f64 (neg.f64 z) 1))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (log.f64 (pow.f64 y y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (log.f64 (pow.f64 y y)))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (log.f64 (pow.f64 y y)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (log.f64 (pow.f64 y y)))
(fma.f64 -1 z (log.f64 (pow.f64 y y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (log.f64 (pow.f64 y y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (neg.f64 z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (neg.f64 z))
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (neg.f64 z) 1))
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 z) 1))
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (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 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 z 2)))) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (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) (cbrt.f64 (exp.f64 (*.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)) (cbrt.f64 (exp.f64 (*.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 (exp.f64 z) (pow.f64 y y)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(pow.f64 (exp.f64 1) (-.f64 (log.f64 (pow.f64 y y)) z))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z))) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2)) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(pow.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1) -1)
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y 3) y) (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 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))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))

simplify97.0ms (2.5%)

Algorithm
egg-herbie
Rules
1084×unswap-sqr
760×fma-neg
612×log-prod
500×times-frac
442×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04165173
110254939
236104915
Stop Event
node limit
Counts
207 → 237
Calls
Call 1
Inputs
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(/.f64 1 (exp.f64 z))
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))
(+.f64 (/.f64 1 (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 y (log.f64 y)) (exp.f64 z)))))
(pow.f64 y y)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.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 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y))))
(+.f64 (log.f64 (pow.f64 y y)) (neg.f64 z))
(+.f64 (log.f64 (pow.f64 y y)) (*.f64 (neg.f64 z) 1))
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 0)
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) (+.f64 (neg.f64 z) z))
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 -1 z z))
(+.f64 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) z))
(+.f64 (neg.f64 z) (log.f64 (pow.f64 y y)))
(+.f64 0 (-.f64 (log.f64 (pow.f64 y y)) z))
(+.f64 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)) (*.f64 2 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 y y)))) (log.f64 (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z)))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z))) (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)))
(+.f64 (log.f64 (neg.f64 (pow.f64 y y))) (log.f64 (/.f64 1 (neg.f64 (exp.f64 z)))))
(+.f64 (*.f64 1/2 (-.f64 (log.f64 (pow.f64 y y)) z)) (*.f64 1/2 (-.f64 (log.f64 (pow.f64 y y)) z)))
(+.f64 (log.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 z 2))))) (log.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (exp.f64 z)))) (log.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (cbrt.f64 (exp.f64 (*.f64 z 2))))) (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z)))) (log.f64 (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1)) (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 (*.f64 z 2))))) (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z)))))
(*.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1)
(*.f64 1 (-.f64 (log.f64 (pow.f64 y y)) z))
(*.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 3 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)))
(*.f64 2 (*.f64 1/2 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 -1 (-.f64 z (log.f64 (pow.f64 y y))))
(*.f64 1/3 (*.f64 3 (-.f64 (log.f64 (pow.f64 y y)) z)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3))))
(/.f64 1 (/.f64 (fma.f64 y (log.f64 y) z) (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3))) (neg.f64 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z))) (neg.f64 (fma.f64 y (log.f64 y) z)))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 (pow.f64 (neg.f64 z) 2) (*.f64 (log.f64 (pow.f64 y y)) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (pow.f64 (neg.f64 z) 2)) (-.f64 (log.f64 (pow.f64 y y)) (neg.f64 z)))
(pow.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2)
(pow.f64 (/.f64 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3))) -1)
(pow.f64 (/.f64 (fma.f64 y (log.f64 y) z) (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z))) -1)
(neg.f64 (-.f64 z (log.f64 (pow.f64 y y))))
(neg.f64 (log.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 2))
(log.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (pow.f64 y y)) z))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 (neg.f64 z))))
(log.f64 (*.f64 (exp.f64 (neg.f64 z)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(log.f64 (/.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 z))))
(log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 z)))
(log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 z))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(exp.f64 (log.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 (pow.f64 y y)) z))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(fma.f64 y (log.f64 y) (neg.f64 z))
(fma.f64 y (log.f64 y) (*.f64 (neg.f64 z) 1))
(fma.f64 (log.f64 y) y (neg.f64 z))
(fma.f64 (log.f64 y) y (*.f64 (neg.f64 z) 1))
(fma.f64 (log.f64 (pow.f64 y y)) 1 (neg.f64 z))
(fma.f64 (log.f64 (pow.f64 y y)) 1 (*.f64 (neg.f64 z) 1))
(fma.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1 (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1 (+.f64 (neg.f64 z) z))
(fma.f64 1 (log.f64 (pow.f64 y y)) (neg.f64 z))
(fma.f64 1 (log.f64 (pow.f64 y y)) (*.f64 (neg.f64 z) 1))
(fma.f64 1 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 1 (-.f64 (log.f64 (pow.f64 y y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 1 (-.f64 (log.f64 (pow.f64 y y)) z) (+.f64 (neg.f64 z) z))
(fma.f64 1 (neg.f64 z) (log.f64 (pow.f64 y y)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) (*.f64 (neg.f64 z) 1))
(fma.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (neg.f64 z))
(fma.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (*.f64 (neg.f64 z) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (cbrt.f64 (log.f64 (pow.f64 y y))) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (cbrt.f64 (log.f64 (pow.f64 y y))) (*.f64 (neg.f64 z) 1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (neg.f64 (cbrt.f64 z)) (log.f64 (pow.f64 y y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (neg.f64 z))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (*.f64 (neg.f64 z) 1))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) (neg.f64 z))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) (*.f64 (neg.f64 z) 1))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (log.f64 (pow.f64 y y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (log.f64 (pow.f64 y y)))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (log.f64 (pow.f64 y y)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (log.f64 (pow.f64 y y)))
(fma.f64 -1 z (log.f64 (pow.f64 y y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (log.f64 (pow.f64 y y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (neg.f64 z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (neg.f64 z))
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (*.f64 (neg.f64 z) 1))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (neg.f64 z) 1))
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 z) 1))
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (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 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 z 2)))) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (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) (cbrt.f64 (exp.f64 (*.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)) (cbrt.f64 (exp.f64 (*.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 (exp.f64 z) (pow.f64 y y)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(pow.f64 (exp.f64 1) (-.f64 (log.f64 (pow.f64 y y)) z))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z))) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2)) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)))
(pow.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1) -1)
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y 3) y) (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 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))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 y (log.f64 y) (neg.f64 z))
(-.f64 (log.f64 (pow.f64 y y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 y (log.f64 y) (neg.f64 z))
(-.f64 (log.f64 (pow.f64 y y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 y (log.f64 y) (neg.f64 z))
(-.f64 (log.f64 (pow.f64 y y)) z)
(*.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 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 y (log.f64 y) (neg.f64 z))
(-.f64 (log.f64 (pow.f64 y y)) z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 y (log.f64 y) (neg.f64 z))
(-.f64 (log.f64 (pow.f64 y y)) z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 y (log.f64 y) (neg.f64 z))
(-.f64 (log.f64 (pow.f64 y y)) z)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(fma.f64 -1 z (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(fma.f64 -1 z (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(fma.f64 -1 z (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
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(/.f64 (pow.f64 y y) (exp.f64 z))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y 3) y) (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 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))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))

eval77.0ms (2%)

Compiler

Compiled 3996 to 1489 computations (62.7% saved)

prune40.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2691270
Fresh000
Picked325
Done000
Total2723275
Accurracy
100.0%
Counts
275 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(pow.f64 y y)
77.8%
(exp.f64 (-.f64 x z))
51.7%
(exp.f64 (neg.f64 z))
56.5%
(pow.f64 y y)
77.8%
(exp.f64 (-.f64 x z))
51.7%
(exp.f64 (neg.f64 z))
Compiler

Compiled 38 to 28 computations (26.3% saved)

localize24.0ms (0.6%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(pow.f64 y y)
77.8%
(exp.f64 (-.f64 x z))
51.7%
(exp.f64 (neg.f64 z))
Compiler

Compiled 68 to 34 computations (50% saved)

regimes73.0ms (1.9%)

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

7 calls:

42.0ms
(+.f64 x (*.f64 y (log.f64 y)))
7.0ms
x
6.0ms
z
5.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
5.0ms
(*.f64 y (log.f64 y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
100.0%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
100.0%1(+.f64 x (*.f64 y (log.f64 y)))
100.0%1(*.f64 y (log.f64 y))
Compiler

Compiled 100 to 55 computations (45% saved)

regimes68.0ms (1.8%)

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

4 calls:

19.0ms
(*.f64 y (log.f64 y))
19.0ms
z
15.0ms
x
14.0ms
y
Results
AccuracySegmentsBranch
96.7%3x
95.8%2y
92.4%4z
95.8%2(*.f64 y (log.f64 y))
Compiler

Compiled 59 to 31 computations (47.5% saved)

regimes28.0ms (0.7%)

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

2 calls:

13.0ms
(*.f64 y (log.f64 y))
13.0ms
y
Results
AccuracySegmentsBranch
95.7%2y
95.7%2(*.f64 y (log.f64 y))
Compiler

Compiled 43 to 24 computations (44.2% saved)

regimes27.0ms (0.7%)

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

2 calls:

13.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
88.1%3x
92.3%2y
Compiler

Compiled 33 to 18 computations (45.5% saved)

regimes34.0ms (0.9%)

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

3 calls:

13.0ms
z
13.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
64.0%4x
78.5%5z
77.5%2y
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes8.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
51.7%1x
51.7%1z
51.7%1y
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.141486784085221e-300
145.19054199358203
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.141486784085221e-300
145.19054199358203
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch14.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
9.892388869537572e+91
4.8221559007604343e+92
Results
10.0ms68×body256infinite
3.0ms28×body256valid
Compiler

Compiled 108 to 79 computations (26.9% saved)

bsearch14.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
10735737.651885904
57994456.89484117
Results
9.0ms62×body256infinite
4.0ms34×body256valid
Compiler

Compiled 102 to 79 computations (22.5% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032202
142202
247202
348202
Stop Event
done
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 (*.f64 y (log.f64 y)) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (exp.f64 (-.f64 x z)) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 y 439999999999999984348383897637583245176433560372480941207385067615722185834184486440243560448) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 11000000) (exp.f64 (neg.f64 z)) (pow.f64 y y))
(exp.f64 (neg.f64 z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 (*.f64 y (log.f64 y)) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (exp.f64 (-.f64 x z)) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 y 439999999999999984348383897637583245176433560372480941207385067615722185834184486440243560448) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 11000000) (exp.f64 (neg.f64 z)) (pow.f64 y y))
(exp.f64 (neg.f64 z))
Compiler

Compiled 91 to 57 computations (37.4% saved)

soundness466.0ms (12.1%)

Rules
1358×times-frac
1358×times-frac
1320×fma-neg
1320×fma-neg
1234×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05909967
114279347
247459347
01127
12023
24423
39223
416023
531523
697323
7256723
8524423
9594123
10737623
05909967
114279347
247459347
Stop Event
node limit
node limit
node limit
Compiler

Compiled 100 to 45 computations (55% saved)

end0.0ms (0%)

preprocess60.0ms (1.5%)

Compiler

Compiled 200 to 88 computations (56% saved)

Profiling

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