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

analyze36.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample1.2s (34.7%)

Results

620.0ms	4827×	body	256	infinite
470.0ms	3429×	body	256	valid
83.0ms	1004×	body	256	invalid

Bogosity

preprocess73.0ms (2.1%)

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)

Iter	Nodes	Cost
0	37	232
1	95	196
2	261	196
3	775	188
4	1883	188
5	5492	188

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

Status	Accuracy	Program
▶	86.7%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	86.7%	(*.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)

localize64.0ms (1.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y (log.f64 y)))
✓	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
✓	99.6%	(*.f64 y (log.f64 y))

Compiler

Compiled 57 to 13 computations (77.2% saved)

series65.0ms (1.9%)

Counts

3 → 68

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	(*.f64 y (log.f64 y))
15.0ms	y	@	-inf	(*.f64 y (log.f64 y))
11.0ms	y	@	inf	(*.f64 y (log.f64 y))
3.0ms	y	@	0	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
3.0ms	x	@	0	(+.f64 x (*.f64 y (log.f64 y)))

rewrite87.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`fma-def`
1164×	`log-prod`
874×	`pow-prod-down`
588×	`pow-prod-up`
580×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	233	47
2	3320	47

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs
(*.f64 y (log.f64 y))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(+.f64 x (*.f64 y (log.f64 y)))

Outputs
(+.f64 0 (*.f64 y (log.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y y)) (cbrt.f64 (pow.f64 y y)))) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)
(pow.f64 (*.f64 y (log.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) 1/2)
(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))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (log.f64 y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (log.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (log.f64 y)) 3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (log.f64 y))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (log.f64 y)))) 2))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(+.f64 0 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))) (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))) 1)
(*.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1)
(*.f64 1 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 (neg.f64 z)))
(.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (/.f64 1 (exp.f64 z)))
(*.f64 (exp.f64 x) (exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2) (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(/.f64 1 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y y) (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(/.f64 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (neg.f64 (exp.f64 z)))
(pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1))
(pow.f64 (exp.f64 1) (fma.f64 y (log.f64 y) (-.f64 x z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2)) (*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1))
(pow.f64 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y y) (exp.f64 x))) -1)
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.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)) (fma.f64 y (log.f64 y) (neg.f64 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)) (fma.f64 y (log.f64 y) (neg.f64 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)) (fma.f64 y (log.f64 y) (neg.f64 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)) (fma.f64 y (log.f64 y) (neg.f64 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)) (fma.f64 y (log.f64 y) (neg.f64 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) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (.f64 x x)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (.f64 y (log.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(log.f64 (*.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y (log.f64 y) x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (*.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)

simplify103.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1104×	`unswap-sqr`
878×	`times-frac`
586×	`cancel-sign-sub-inv`
450×	`fma-neg`
444×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	4869
1	814	4663
2	2650	4265

Stop Event

1×	node limit

Counts

185 → 191

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 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
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(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
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(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
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(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
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(exp.f64 (+.f64 (.f64 -1 z) (+.f64 (.f64 y (log.f64 y)) x)))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
x
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(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) x)
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(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
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(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) 1/2)
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(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
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(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (log.f64 y)) 3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (log.f64 y))) 3) 1/3))
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(log1p.f64 (-.f64 (pow.f64 y y) 1))
(+.f64 0 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))) 1)
(*.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1)
(*.f64 1 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 (neg.f64 z)))
(.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (/.f64 1 (exp.f64 z)))
(*.f64 (exp.f64 x) (exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2) (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(/.f64 1 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y y) (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(/.f64 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (neg.f64 (exp.f64 z)))
(pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) (*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1))
(pow.f64 (exp.f64 1) (fma.f64 y (log.f64 y) (-.f64 x z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2)) (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2)) (*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1))
(pow.f64 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y y) (exp.f64 x))) -1)
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.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)) (fma.f64 y (log.f64 y) (neg.f64 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)) (fma.f64 y (log.f64 y) (neg.f64 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)) (fma.f64 y (log.f64 y) (neg.f64 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)) (fma.f64 y (log.f64 y) (neg.f64 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)) (fma.f64 y (log.f64 y) (neg.f64 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) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (.f64 x x)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (.f64 y (log.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(log.f64 (*.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y (log.f64 y) x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (*.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)

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 (+.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)))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (log.f64 y)) 3)) (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.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)) (fma.f64 y (log.f64 y) (neg.f64 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)
(fma.f64 y (log.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(fma.f64 y (log.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) 1/2)
(fma.f64 y (log.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(fma.f64 y (log.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(fma.f64 y (log.f64 y) x)
(pow.f64 (/.f64 (fma.f64 (.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (.f64 x x)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))) -1)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (log.f64 y)) 3)) (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)))
(pow.f64 (/.f64 (-.f64 x (.f64 y (log.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) -1)
(/.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))))
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(fma.f64 y (log.f64 y) x)
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(fma.f64 y (log.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(fma.f64 y (log.f64 y) x)
(log.f64 (*.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 x))))
(fma.f64 y (log.f64 y) x)
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 x)))
(fma.f64 y (log.f64 y) x)
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 x))))
(fma.f64 y (log.f64 y) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(fma.f64 y (log.f64 y) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y y)))
(fma.f64 y (log.f64 y) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(fma.f64 y (log.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(fma.f64 y (log.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(fma.f64 y (log.f64 y) x)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1) 1))
(fma.f64 y (log.f64 y) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) 3))
(fma.f64 y (log.f64 y) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y (log.f64 y) x))) 1/3))
(fma.f64 y (log.f64 y) x)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 3) 1/3))
(fma.f64 y (log.f64 y) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) 2))
(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 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (log.f64 y)) 1 x)
(fma.f64 y (log.f64 y) x)
(fma.f64 x 1 (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (cbrt.f64 (.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (.f64 y (log.f64 y))) 2) x)
(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)
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (.f64 y (log.f64 y))) (sqrt.f64 (.f64 y (log.f64 y))) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 y (log.f64 y) x)

eval269.0ms (7.9%)

Compiler: Compiled 3144 to 1074 computations (65.8% saved)

prune47.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	187	4	191
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	189	4	193

Accuracy

100.0%

Counts

193 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	68.9%	(*.f64 (pow.f64 y y) (exp.f64 x))
▶	77.9%	(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
▶	82.0%	(exp.f64 (-.f64 x z))
▶	68.5%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	68.9%	(*.f64 (pow.f64 y y) (exp.f64 x))
▶	77.9%	(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
▶	82.0%	(exp.f64 (-.f64 x z))

Compiler

Compiled 70 to 48 computations (31.4% saved)

localize417.0ms (12.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
	99.8%	(*.f64 y (log.f64 y))

Compiler

Compiled 60 to 15 computations (75% saved)

series63.0ms (1.8%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
62.0ms	y	@	0	(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
0.0ms	z	@	0	(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
0.0ms	y	@	inf	(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
0.0ms	z	@	-inf	(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
0.0ms	y	@	-inf	(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))

rewrite100.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1912×	`pow1`
1758×	`add-exp-log`
1758×	`log1p-expm1-u`
1758×	`expm1-log1p-u`
1716×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	184	17
2	2402	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))

Outputs
(+.f64 1 (expm1.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z))) 1)
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.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 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 1 (/.f64 (exp.f64 z) (pow.f64 y y)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(/.f64 (neg.f64 (pow.f64 y y)) (neg.f64 (exp.f64 z)))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (exp.f64 1) (-.f64 (*.f64 y (log.f64 y)) z))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 y (log.f64 y)) z))) (sqrt.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) 2)) (cbrt.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1216×	`associate-r`
1156×	`associate-l`
738×	`fma-neg`
734×	`times-frac`
618×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1069
1	243	935
2	798	877
3	4529	871

Stop Event

1×	node limit

Counts

35 → 58

Calls

Call 1

Inputs
(exp.f64 (neg.f64 z))
(+.f64 (exp.f64 (neg.f64 z)) (.f64 (exp.f64 (neg.f64 z)) (.f64 y (log.f64 y))))
(+.f64 (exp.f64 (neg.f64 z)) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)))) (.f64 (exp.f64 (neg.f64 z)) (*.f64 y (log.f64 y)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)))) (+.f64 (exp.f64 (neg.f64 z)) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)))) (.f64 (exp.f64 (neg.f64 z)) (.f64 y (log.f64 y))))))
(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 (pow.f64 y y) (.f64 1/2 (.f64 (pow.f64 y y) (pow.f64 z 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y y) z)) (+.f64 (pow.f64 y y) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y y) (pow.f64 z 3))) (.f64 1/2 (.f64 (pow.f64 y y) (pow.f64 z 2))))))
(exp.f64 (+.f64 (.f64 -1 z) (.f64 y (log.f64 y))))
(exp.f64 (+.f64 (.f64 -1 z) (.f64 y (log.f64 y))))
(exp.f64 (+.f64 (.f64 -1 z) (.f64 y (log.f64 y))))
(exp.f64 (+.f64 (.f64 -1 z) (.f64 y (log.f64 y))))
(+.f64 1 (expm1.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z))) 1)
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.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 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 1 (/.f64 (exp.f64 z) (pow.f64 y y)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(/.f64 (neg.f64 (pow.f64 y y)) (neg.f64 (exp.f64 z)))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (exp.f64 1) (-.f64 (*.f64 y (log.f64 y)) z))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 y (log.f64 y)) z))) (sqrt.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) 2)) (cbrt.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))

Outputs
(exp.f64 (neg.f64 z))
(+.f64 (exp.f64 (neg.f64 z)) (.f64 (exp.f64 (neg.f64 z)) (.f64 y (log.f64 y))))
(.f64 (+.f64 (.f64 y (log.f64 y)) 1) (exp.f64 (neg.f64 z)))
(*.f64 (exp.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) 1))
(/.f64 (fma.f64 y (log.f64 y) 1) (exp.f64 z))
(+.f64 (exp.f64 (neg.f64 z)) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)))) (.f64 (exp.f64 (neg.f64 z)) (*.f64 y (log.f64 y)))))
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (.f64 (.f64 y y) (pow.f64 (log.f64 y) 2))) (.f64 (exp.f64 (neg.f64 z)) (*.f64 y (log.f64 y)))))
(+.f64 (.f64 (+.f64 (.f64 y (log.f64 y)) 1) (exp.f64 (neg.f64 z))) (.f64 (.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (/.f64 1/2 (exp.f64 z))))
(.f64 (exp.f64 (neg.f64 z)) (+.f64 (fma.f64 y (log.f64 y) 1) (.f64 1/2 (.f64 (.f64 y y) (pow.f64 (log.f64 y) 2)))))
(.f64 (exp.f64 (neg.f64 z)) (+.f64 (fma.f64 y (log.f64 y) 1) (.f64 (.f64 y y) (.f64 1/2 (pow.f64 (log.f64 y) 2)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)))) (+.f64 (exp.f64 (neg.f64 z)) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)))) (.f64 (exp.f64 (neg.f64 z)) (.f64 y (log.f64 y))))))
(fma.f64 1/6 (.f64 (exp.f64 (neg.f64 z)) (.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))) (+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (.f64 (.f64 y y) (pow.f64 (log.f64 y) 2))) (.f64 (exp.f64 (neg.f64 z)) (*.f64 y (log.f64 y))))))
(fma.f64 (/.f64 1/6 (exp.f64 z)) (.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (+.f64 (.f64 (+.f64 (.f64 y (log.f64 y)) 1) (exp.f64 (neg.f64 z))) (.f64 (.f64 (.f64 y y) (pow.f64 (log.f64 y) 2)) (/.f64 1/2 (exp.f64 z)))))
(fma.f64 1/6 (.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 y 3) (exp.f64 z))) (.f64 (exp.f64 (neg.f64 z)) (+.f64 (fma.f64 y (log.f64 y) 1) (.f64 1/2 (.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2))))))
(fma.f64 1/6 (.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 y 3) (exp.f64 z))) (.f64 (exp.f64 (neg.f64 z)) (+.f64 (fma.f64 y (log.f64 y) 1) (.f64 (.f64 y y) (*.f64 1/2 (pow.f64 (log.f64 y) 2))))))
(pow.f64 y y)
(+.f64 (.f64 -1 (.f64 (pow.f64 y y) z)) (pow.f64 y y))
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (pow.f64 y y))
(-.f64 (pow.f64 y y) (*.f64 z (pow.f64 y y)))
(*.f64 (pow.f64 y y) (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y y) z)) (+.f64 (pow.f64 y y) (.f64 1/2 (.f64 (pow.f64 y y) (pow.f64 z 2)))))
(+.f64 (fma.f64 -1 (.f64 z (pow.f64 y y)) (pow.f64 y y)) (.f64 1/2 (.f64 (pow.f64 y y) (.f64 z z))))
(-.f64 (fma.f64 (.f64 1/2 (pow.f64 y y)) (.f64 z z) (pow.f64 y y)) (*.f64 z (pow.f64 y y)))
(fma.f64 (pow.f64 y y) (.f64 z (.f64 z 1/2)) (*.f64 (pow.f64 y y) (-.f64 1 z)))
(+.f64 (pow.f64 y y) (.f64 (pow.f64 y y) (-.f64 (.f64 z (*.f64 z 1/2)) z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y y) z)) (+.f64 (pow.f64 y y) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y y) (pow.f64 z 3))) (.f64 1/2 (.f64 (pow.f64 y y) (pow.f64 z 2))))))
(+.f64 (fma.f64 -1 (.f64 z (pow.f64 y y)) (pow.f64 y y)) (fma.f64 -1/6 (.f64 (pow.f64 y y) (pow.f64 z 3)) (.f64 1/2 (.f64 (pow.f64 y y) (*.f64 z z)))))
(+.f64 (-.f64 (pow.f64 y y) (.f64 z (pow.f64 y y))) (fma.f64 1/2 (.f64 z (.f64 z (pow.f64 y y))) (.f64 (pow.f64 y y) (*.f64 (pow.f64 z 3) -1/6))))
(+.f64 (.f64 (pow.f64 y y) (-.f64 1 z)) (.f64 (pow.f64 y y) (+.f64 (.f64 z (.f64 z 1/2)) (*.f64 -1/6 (pow.f64 z 3)))))
(exp.f64 (+.f64 (.f64 -1 z) (.f64 y (log.f64 y))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (+.f64 (.f64 -1 z) (.f64 y (log.f64 y))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (+.f64 (.f64 -1 z) (.f64 y (log.f64 y))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (+.f64 (.f64 -1 z) (.f64 y (log.f64 y))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 1 (expm1.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(-.f64 (+.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z))) 1)
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(/.f64 1 (/.f64 (exp.f64 z) (pow.f64 y y)))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (neg.f64 (pow.f64 y y)) (neg.f64 (exp.f64 z)))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (exp.f64 1) (-.f64 (*.f64 y (log.f64 y)) z))
(pow.f64 (E.f64) (fma.f64 y (log.f64 y) (neg.f64 z)))
(pow.f64 (E.f64) (-.f64 (*.f64 y (log.f64 y)) z))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 y (log.f64 y)) z))) (sqrt.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))) (sqrt.f64 (fma.f64 y (log.f64 y) (neg.f64 z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 y (log.f64 y)) z)) 2)) (cbrt.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (neg.f64 z))) 2)) (cbrt.f64 (fma.f64 y (log.f64 y) (neg.f64 z))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))

eval19.0ms (0.6%)

Compiler: Compiled 1225 to 497 computations (59.4% saved)

prune14.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	89	3	92

Accuracy

100.0%

Counts

92 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(pow.f64 y y)
✓	82.0%	(exp.f64 (-.f64 x z))
▶	55.1%	(exp.f64 (neg.f64 z))
▶	52.2%	(pow.f64 y y)
✓	82.0%	(exp.f64 (-.f64 x z))
▶	55.1%	(exp.f64 (neg.f64 z))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize35.0ms (1%)

Compiler: Compiled 14 to 7 computations (50% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	1	1
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(pow.f64 y y)
✓	82.0%	(exp.f64 (-.f64 x z))
✓	55.1%	(exp.f64 (neg.f64 z))

Compiler

Compiled 68 to 34 computations (50% saved)

regimes69.0ms (2%)

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:

25.0ms	y
16.0ms	(*.f64 y (log.f64 y))
7.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
6.0ms	(+.f64 x (*.f64 y (log.f64 y)))
6.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
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)

regimes127.0ms (3.7%)

Counts

7 → 3

Calls

Call 1

Inputs
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

Outputs
(exp.f64 (-.f64 x z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(exp.f64 (-.f64 x z))

Calls

4 calls:

74.0ms	x
20.0ms	(*.f64 y (log.f64 y))
17.0ms	z
14.0ms	y

Results

Accuracy	Segments	Branch
97.7%	3	`x`
95.8%	2	`y`
92.6%	2	`z`
95.8%	2	`(*.f64 y (log.f64 y))`

Compiler

Compiled 59 to 31 computations (47.5% saved)

regimes48.0ms (1.4%)

Counts

5 → 3

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))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (-.f64 x z))

Calls

3 calls:

20.0ms	z
15.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
92.7%	3	`z`
91.4%	2	`y`
93.0%	3	`x`

Compiler

Compiled 37 to 21 computations (43.2% saved)

regimes45.0ms (1.3%)

Counts

4 → 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))

Outputs
(exp.f64 (-.f64 x z))
(pow.f64 y y)

Calls

2 calls:

27.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
91.4%	2	`y`
86.3%	5	`x`

Compiler

Compiled 27 to 16 computations (40.7% saved)

regimes38.0ms (1.1%)

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:

20.0ms	x
9.0ms	y
9.0ms	z

Results

Accuracy	Segments	Branch
62.1%	6	`x`
74.5%	3	`z`
73.5%	2	`y`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes54.0ms (1.6%)

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

2 calls:

51.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
55.1%	1	`z`
55.1%	1	`y`

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch39.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.3594556877301755e-27	1.0660130360297632e-15
17.0ms	-2.455322741555227e+63	-1.5028213616264664e+60

Results

19.0ms	146×	body	256	valid
17.0ms	142×	body	256	infinite

Compiler

Compiled 360 to 265 computations (26.4% saved)

bsearch43.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.3594556877301755e-27	1.0660130360297632e-15
19.0ms	-49157103.07335827	-511.01411102287517

Results

22.0ms	157×	body	256	infinite
18.0ms	147×	body	256	valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

bsearch29.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	5.35005309680094e-7	17.805007183304557

Results

18.0ms	62×	body	256	infinite
10.0ms	82×	body	256	valid

Compiler

Compiled 153 to 112 computations (26.8% saved)

bsearch26.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	5.35005309680094e-7	17.805007183304557

Results

14.0ms	61×	body	256	infinite
10.0ms	83×	body	256	valid

Compiler

Compiled 144 to 112 computations (22.2% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`sub-neg`
4×	`if-if-or-not`
4×	`*-commutative`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	198
1	58	198
2	63	198
3	64	198

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 x -1550000000000000028593636663411720323165097475782920841986048) (exp.f64 (-.f64 x z)) (if (<=.f64 x 5324132520958563/5070602400912917605986812821504) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (exp.f64 (-.f64 x z))))
(if (<=.f64 x -165000) (exp.f64 (-.f64 x z)) (if (<=.f64 x 8437482395119095/324518553658426726783156020576256) (/.f64 (pow.f64 y y) (exp.f64 z)) (exp.f64 (-.f64 x z))))
(if (<=.f64 y 35/2) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 21/2) (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 x -1550000000000000028593636663411720323165097475782920841986048) (exp.f64 (-.f64 x z)) (if (<=.f64 x 5324132520958563/5070602400912917605986812821504) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (exp.f64 (-.f64 x z))))
(if (or (<=.f64 x -1550000000000000028593636663411720323165097475782920841986048) (not (<=.f64 x 5324132520958563/5070602400912917605986812821504))) (exp.f64 (-.f64 x z)) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(if (<=.f64 x -165000) (exp.f64 (-.f64 x z)) (if (<=.f64 x 8437482395119095/324518553658426726783156020576256) (/.f64 (pow.f64 y y) (exp.f64 z)) (exp.f64 (-.f64 x z))))
(if (or (<=.f64 x -165000) (not (<=.f64 x 8437482395119095/324518553658426726783156020576256))) (exp.f64 (-.f64 x z)) (/.f64 (pow.f64 y y) (exp.f64 z)))
(if (<=.f64 y 35/2) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 21/2) (exp.f64 (neg.f64 z)) (pow.f64 y y))
(exp.f64 (neg.f64 z))

Compiler

Compiled 90 to 62 computations (31.1% saved)

soundness149.0ms (4.4%)

Rules

1104×	`unswap-sqr`
878×	`times-frac`
586×	`cancel-sign-sub-inv`
450×	`fma-neg`
444×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	4869
1	814	4663
2	2650	4265

Stop Event

1×	node limit

Compiler

Compiled 32 to 15 computations (53.1% saved)

end0.0ms (0%)

preprocess99.0ms (2.9%)

Compiler: Compiled 198 to 106 computations (46.5% saved)

analyze36.0ms (1.1%)

sample1.2s (34.7%)

preprocess73.0ms (2.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize64.0ms (1.9%)

series65.0ms (1.9%)

rewrite87.0ms (2.5%)

simplify103.0ms (3%)

eval269.0ms (7.9%)

prune47.0ms (1.4%)

localize417.0ms (12.2%)

series63.0ms (1.8%)

rewrite100.0ms (2.9%)

simplify55.0ms (1.6%)

eval19.0ms (0.6%)

prune14.0ms (0.4%)

localize35.0ms (1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes69.0ms (2%)

regimes127.0ms (3.7%)

regimes48.0ms (1.4%)

regimes45.0ms (1.3%)

regimes38.0ms (1.1%)

regimes54.0ms (1.6%)

bsearch39.0ms (1.2%)

bsearch43.0ms (1.3%)

bsearch29.0ms (0.9%)

bsearch26.0ms (0.8%)

simplify9.0ms (0.3%)

soundness149.0ms (4.4%)

end0.0ms (0%)

preprocess99.0ms (2.9%)

Profiling