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

Time bar (total: 3.0s)

analyze41.0ms (1.4%)

Algorithm
1×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 (46.1%)

Results
747.0ms4761×body256infinite
543.0ms3495×body256valid
82.0ms996×body256invalid
Bogosity

preprocess134.0ms (4.5%)

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

Compiled 12 to 8 computations (33.3% saved)

eval1.0ms (0%)

Compiler

Compiled 28 to 15 computations (46.4% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.4%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶82.4%
(*.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)

localize59.0ms (1.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓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)

series64.0ms (2.1%)

Counts
2 → 20
Calls

9 calls:

TimeVariablePointExpression
30.0ms
y
@0
(*.f64 y (log.f64 y))
24.0ms
y
@-inf
(*.f64 y (log.f64 y))
6.0ms
y
@inf
(*.f64 y (log.f64 y))
3.0ms
x
@0
(+.f64 x (*.f64 y (log.f64 y)))
0.0ms
x
@inf
(+.f64 x (*.f64 y (log.f64 y)))

rewrite66.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1738×pow1
1602×add-exp-log
1602×log1p-expm1-u
1602×expm1-log1p-u
1566×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0828
116324
2218624
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(+.f64 x (*.f64 y (log.f64 y)))
Outputs
(-.f64 (+.f64 1 (*.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))
(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))))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(-.f64 (+.f64 1 (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 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) 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 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) 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 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) 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 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) 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)))
(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)))
(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 1 (*.f64 y (log.f64 y)) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(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 x) 2) (cbrt.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 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))

simplify63.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1198×div-sub
1138×fma-neg
966×fma-def
640×unswap-sqr
634×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01171976
12881794
210681450
354381450
Stop Event
1×node limit
Counts
66 → 65
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))))))
(-.f64 (+.f64 1 (*.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))
(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))))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(-.f64 (+.f64 1 (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 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) 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 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) 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 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) 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 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) 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)))
(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)))
(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 1 (*.f64 y (log.f64 y)) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(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 x) 2) (cbrt.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 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
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))))
(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 y (neg.f64 (neg.f64 (log.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 y (neg.f64 (neg.f64 (log.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 y (neg.f64 (neg.f64 (log.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 y (neg.f64 (neg.f64 (log.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 y (neg.f64 (neg.f64 (log.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)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(+.f64 x (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(+.f64 x (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 x (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y))))) x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(+.f64 x (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y))))) x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(+.f64 x (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y))))) x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(-.f64 (+.f64 1 (*.f64 y (log.f64 y))) 1)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(log.f64 (pow.f64 y y))
(pow.f64 (*.f64 y (log.f64 y)) 1)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(log.f64 (pow.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(log.f64 (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(log.f64 (pow.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(log.f64 (pow.f64 y y))
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(log.f64 (pow.f64 y y))
(log.f64 (pow.f64 y y))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(log.f64 (pow.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(log.f64 (pow.f64 y y))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(log.f64 (pow.f64 y y))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(log1p.f64 (+.f64 (pow.f64 y y) -1))
(log1p.f64 (+.f64 -1 (pow.f64 y y)))
(-.f64 (+.f64 1 (fma.f64 y (log.f64 y) x)) 1)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(-.f64 (/.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 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))
(*.f64 (fma.f64 y (log.f64 y) x) 1)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(*.f64 1 (fma.f64 y (log.f64 y) x))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (fma.f64 y (*.f64 (log.f64 y) (-.f64 (log.f64 (pow.f64 y 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 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (fma.f64 y (*.f64 (log.f64 y) (-.f64 (log.f64 (pow.f64 y y)) x)) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (fma.f64 y (*.f64 (log.f64 y) (-.f64 (log.f64 (pow.f64 y 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 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (fma.f64 y (*.f64 (log.f64 y) (-.f64 (log.f64 (pow.f64 y y)) x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (fma.f64 y (*.f64 (log.f64 y) (-.f64 (log.f64 (pow.f64 y 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 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.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 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 (log.f64 y) y x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(+.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) x)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(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)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(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)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(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)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(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)
(-.f64 x (*.f64 y (neg.f64 (log.f64 y))))
(fma.f64 y (log.f64 y) x)

eval24.0ms (0.8%)

Compiler

Compiled 965 to 422 computations (56.3% saved)

prune11.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New63265
Fresh000
Picked112
Done000
Total64367
Accuracy
100.0%
Counts
67 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓82.4%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶82.7%
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
▶80.9%
(exp.f64 (-.f64 x z))
✓82.4%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶82.7%
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
▶80.9%
(exp.f64 (-.f64 x z))
Compiler

Compiled 56 to 38 computations (32.1% saved)

localize64.0ms (2.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 y (log.f64 y)) z)
99.6%
(*.f64 y (log.f64 y))
Compiler

Compiled 34 to 10 computations (70.6% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(-.f64 (*.f64 y (log.f64 y)) z)
0.0ms
z
@inf
(-.f64 (*.f64 y (log.f64 y)) z)
0.0ms
y
@0
(-.f64 (*.f64 y (log.f64 y)) z)
0.0ms
y
@-inf
(-.f64 (*.f64 y (log.f64 y)) z)
0.0ms
y
@inf
(-.f64 (*.f64 y (log.f64 y)) z)

rewrite72.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
1764×pow1
1624×add-exp-log
1624×log1p-expm1-u
1624×expm1-log1p-u
1586×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116617
2220817
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (*.f64 y (log.f64 y)) z)
Outputs
(+.f64 (*.f64 y (log.f64 y)) (neg.f64 z))
(+.f64 (*.f64 y (log.f64 y)) (*.f64 (neg.f64 z) 1))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) (*.f64 y (log.f64 y)))
(*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(*.f64 1 (-.f64 (*.f64 y (log.f64 y)) z))
(*.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3))))
(/.f64 1 (/.f64 (fma.f64 y (log.f64 y) z) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z))) (neg.f64 (fma.f64 y (log.f64 y) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))
(pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 2))
(log.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (log.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(fma.f64 y (log.f64 y) (neg.f64 z))
(fma.f64 (log.f64 y) y (neg.f64 z))
(fma.f64 1 (*.f64 y (log.f64 y)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) (neg.f64 z))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) (neg.f64 z))

simplify175.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
1138×fma-neg
1074×fma-def
658×associate-+l+
400×distribute-lft-neg-in
376×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161507
13051427
210611403
341991283
Stop Event
1×node limit
Counts
61 → 53
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 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(+.f64 (*.f64 -1 z) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (*.f64 -1 z) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (*.f64 -1 z) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 y (log.f64 y)) (neg.f64 z))
(+.f64 (*.f64 y (log.f64 y)) (*.f64 (neg.f64 z) 1))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) (*.f64 y (log.f64 y)))
(*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(*.f64 1 (-.f64 (*.f64 y (log.f64 y)) z))
(*.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3))))
(/.f64 1 (/.f64 (fma.f64 y (log.f64 y) z) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z))) (neg.f64 (fma.f64 y (log.f64 y) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))
(pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 2))
(log.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (log.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(fma.f64 y (log.f64 y) (neg.f64 z))
(fma.f64 (log.f64 y) y (neg.f64 z))
(fma.f64 1 (*.f64 y (log.f64 y)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) (neg.f64 z))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) (neg.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)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 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))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(-.f64 (*.f64 y (log.f64 y)) z)
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1 z) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(-.f64 (*.f64 y (log.f64 y)) z)
(*.f64 y (log.f64 y))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 -1 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 y (log.f64 y)) (neg.f64 z))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (*.f64 y (log.f64 y)) (*.f64 (neg.f64 z) 1))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 z) 1 z))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (-.f64 (*.f64 y (log.f64 y)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 (*.f64 y (log.f64 y)) z)
(+.f64 (neg.f64 z) (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) z)
(*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(-.f64 (*.f64 y (log.f64 y)) z)
(*.f64 1 (-.f64 (*.f64 y (log.f64 y)) z))
(-.f64 (*.f64 y (log.f64 y)) z)
(*.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2))
(-.f64 (*.f64 y (log.f64 y)) z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(-.f64 (*.f64 y (log.f64 y)) z)
(*.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(-.f64 (*.f64 y (log.f64 y)) z)
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (log.f64 y) (*.f64 y (fma.f64 y (log.f64 y) z)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) z))
(/.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 z)))
(-.f64 (*.f64 y (log.f64 y)) z)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (log.f64 y) (*.f64 y (fma.f64 y (log.f64 y) z)))))
(/.f64 1 (/.f64 (fma.f64 y (log.f64 y) z) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z))))
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) z))
(/.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (log.f64 y) (*.f64 y (fma.f64 y (log.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) z))
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)))
(/.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (log.f64 y) (*.f64 y (fma.f64 y (log.f64 y) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z))) (neg.f64 (fma.f64 y (log.f64 y) z)))
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) z))
(/.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 y (log.f64 y) z) (pow.f64 (*.f64 y (log.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (log.f64 y) (*.f64 y (fma.f64 y (log.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))
(*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 z z)) (fma.f64 y (log.f64 y) z))
(/.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1)
(-.f64 (*.f64 y (log.f64 y)) z)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 3)
(-.f64 (*.f64 y (log.f64 y)) z)
(pow.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 3) 1/3)
(-.f64 (*.f64 y (log.f64 y)) z)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) z)) 2)
(-.f64 (*.f64 y (log.f64 y)) z)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 2))
(-.f64 (*.f64 y (log.f64 y)) z)
(log.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))
(-.f64 (*.f64 y (log.f64 y)) z)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y (log.f64 y)) z) 3))
(-.f64 (*.f64 y (log.f64 y)) z)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(-.f64 (*.f64 y (log.f64 y)) z)
(exp.f64 (log.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(-.f64 (*.f64 y (log.f64 y)) z)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 y (log.f64 y) (neg.f64 z))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 (log.f64 y) y (neg.f64 z))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 1 (*.f64 y (log.f64 y)) (neg.f64 z))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) (neg.f64 z))
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) (neg.f64 z))
(-.f64 (*.f64 y (log.f64 y)) z)

eval14.0ms (0.5%)

Compiler

Compiled 943 to 403 computations (57.3% saved)

prune13.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New70272
Fresh000
Picked112
Done011
Total71475
Accuracy
100.0%
Counts
75 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓82.4%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓80.9%
(exp.f64 (-.f64 x z))
▶57.3%
(exp.f64 (*.f64 y (log.f64 y)))
▶55.7%
(exp.f64 (neg.f64 z))
✓82.4%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓80.9%
(exp.f64 (-.f64 x z))
▶57.3%
(exp.f64 (*.f64 y (log.f64 y)))
▶55.7%
(exp.f64 (neg.f64 z))
Compiler

Compiled 64 to 46 computations (28.1% saved)

localize39.0ms (1.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 y (log.f64 y))
Compiler

Compiled 22 to 9 computations (59.1% saved)

eval4.0ms (0.1%)

Compiler

Compiled 156 to 96 computations (38.5% saved)

prune5.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New19019
Fresh000
Picked022
Done022
Total19423
Accuracy
100.0%
Counts
23 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓82.4%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓80.9%
(exp.f64 (-.f64 x z))
✓57.3%
(exp.f64 (*.f64 y (log.f64 y)))
✓55.7%
(exp.f64 (neg.f64 z))
Compiler

Compiled 71 to 40 computations (43.7% saved)

regimes54.0ms (1.8%)

Counts
6 → 1
Calls
Call 1
Inputs
(exp.f64 (neg.f64 z))
(exp.f64 (-.f64 x z))
(exp.f64 (*.f64 y (log.f64 y)))
(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:

14.0ms
z
9.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
8.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
6.0ms
(+.f64 x (*.f64 y (log.f64 y)))
5.0ms
x
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 90 to 52 computations (42.2% saved)

regimes100.0ms (3.3%)

Counts
5 → 2
Calls
Call 1
Inputs
(exp.f64 (neg.f64 z))
(exp.f64 (-.f64 x z))
(exp.f64 (*.f64 y (log.f64 y)))
(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:

54.0ms
y
23.0ms
x
13.0ms
z
9.0ms
(*.f64 y (log.f64 y))
Results
AccuracySegmentsBranch
95.2%3x
96.5%2y
91.5%2z
96.5%2(*.f64 y (log.f64 y))
Compiler

Compiled 49 to 28 computations (42.9% saved)

regimes29.0ms (1%)

Counts
4 → 2
Calls
Call 1
Inputs
(exp.f64 (neg.f64 z))
(exp.f64 (-.f64 x z))
(exp.f64 (*.f64 y (log.f64 y)))
(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:

20.0ms
(*.f64 y (log.f64 y))
8.0ms
y
Results
AccuracySegmentsBranch
96.5%2y
96.1%2(*.f64 y (log.f64 y))
Compiler

Compiled 33 to 20 computations (39.4% saved)

regimes80.0ms (2.7%)

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

4 calls:

37.0ms
z
20.0ms
x
11.0ms
(*.f64 y (log.f64 y))
11.0ms
y
Results
AccuracySegmentsBranch
85.0%3z
86.9%5x
90.7%2(*.f64 y (log.f64 y))
91.0%2y
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes12.0ms (0.4%)

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

2 calls:

7.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
80.9%1z
80.9%1y
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.9%)

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:

20.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
55.7%1x
55.7%1y
55.7%1z
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.33974241166099e-297
-6.168133000891834e-300
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch9.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
9.875735397490714e-10
1.8892666066957894e-9
Results
4.0ms33×body256infinite
4.0ms31×body256valid
Compiler

Compiled 94 to 69 computations (26.6% saved)

bsearch17.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
5.653495481435426e-7
0.0072910500116715495
Results
9.0ms71×body256valid
7.0ms57×body256infinite
Compiler

Compiled 154 to 117 computations (24% saved)

simplify9.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032186
142186
247186
348186
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) -5890680864316837/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 y 279564095785883/151115727451828646838272) (exp.f64 (-.f64 x z)) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 y 4150517416584649/576460752303423488) (exp.f64 (-.f64 x z)) (exp.f64 (*.f64 y (log.f64 y))))
(exp.f64 (-.f64 x z))
(exp.f64 (neg.f64 z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) -5890680864316837/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 y 279564095785883/151115727451828646838272) (exp.f64 (-.f64 x z)) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 y 4150517416584649/576460752303423488) (exp.f64 (-.f64 x z)) (exp.f64 (*.f64 y (log.f64 y))))
(exp.f64 (-.f64 x z))
(exp.f64 (neg.f64 z))
Compiler

Compiled 84 to 55 computations (34.5% saved)

soundness369.0ms (12.3%)

Rules
1302×fma-neg
1138×fma-neg
1138×fma-neg
1112×fma-def
1074×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161507
13051427
210611403
341991283
01161507
13051427
210611403
341991283
037232
195196
2261196
3775188
41883188
55492188
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 108 to 59 computations (45.4% saved)

end0.0ms (0%)

preprocess63.0ms (2.1%)

Compiler

Compiled 186 to 84 computations (54.8% saved)

Profiling

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