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

analyze59.0ms (2%)

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)

sample1.4s (47.7%)

Results

711.0ms	4795×	body	256	infinite
627.0ms	3461×	body	256	valid
93.0ms	1025×	body	256	invalid

Bogosity

preprocess71.0ms (2.3%)

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
▶	85.5%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	85.5%	(*.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)

localize86.0ms (2.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.2%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓	100.0%	(+.f64 x (*.f64 y (log.f64 y)))
✓	99.7%	(*.f64 y (log.f64 y))

Compiler

Compiled 57 to 13 computations (77.2% saved)

series79.0ms (2.6%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	y	@	0	(*.f64 y (log.f64 y))
18.0ms	y	@	-inf	(*.f64 y (log.f64 y))
12.0ms	x	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
6.0ms	y	@	inf	(*.f64 y (log.f64 y))
6.0ms	z	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite117.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`log-prod`
954×	`fma-def`
772×	`pow-prod-up`
664×	`pow-exp`
506×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	274	47
2	3728	47

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

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

simplify107.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1110×	`distribute-lft-in`
1078×	`unswap-sqr`
1076×	`distribute-rgt-in`
880×	`times-frac`
518×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	5053
1	817	4597
2	2668	3973

Stop Event

1×	node limit

Counts

167 → 173

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (log.f64 y))
x
x
x
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(+.f64 x (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 x (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 x (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(+.f64 x (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 x (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 x (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))))
(exp.f64 (-.f64 x z))
(+.f64 (exp.f64 (-.f64 x z)) (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))
(+.f64 (exp.f64 (-.f64 x z)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))
(+.f64 (exp.f64 (-.f64 x z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(+.f64 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (+.f64 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (+.f64 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+.f64 (.f64 -1 (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (.f64 (exp.f64 x) (pow.f64 y y)))
(+.f64 (.f64 -1 (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (.f64 (exp.f64 x) (pow.f64 y y)))) (*.f64 (exp.f64 x) (pow.f64 y y))))
(+.f64 (.f64 -1 (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (.f64 (exp.f64 x) (pow.f64 y y)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (.f64 (exp.f64 x) (pow.f64 y y)))) (.f64 (exp.f64 x) (pow.f64 y y)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))
(+.f64 (log.f64 (pow.f64 y y)) 0)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 y y))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y))))
(+.f64 0 (log.f64 (pow.f64 y y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y))) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (pow.f64 1 y)) (log.f64 (pow.f64 y y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 y y)) y)) (log.f64 (pow.f64 (cbrt.f64 y) y)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 y) y)) (log.f64 (pow.f64 (sqrt.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 y y)))) 1)
(pow.f64 (log.f64 (pow.f64 y y)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2))
(log.f64 (pow.f64 y y))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 y y))))
(exp.f64 (log.f64 (log.f64 (pow.f64 y y))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (pow.f64 y y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 y y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (pow.f64 y y)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (pow.f64 y y))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 y y)))) 2))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 (pow.f64 y y)))) (/.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 x (log.f64 (pow.f64 y y)))))
(*.f64 (fma.f64 y (log.f64 y) x) 1)
(*.f64 1 (fma.f64 y (log.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)) (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (log.f64 (pow.f64 y y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 (.f64 x x) (.f64 (log.f64 (pow.f64 y y)) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (neg.f64 (-.f64 x (log.f64 (pow.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 x x)) (-.f64 (log.f64 (pow.f64 y y)) x))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)) (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (log.f64 (pow.f64 y y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(log.f64 (*.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y (log.f64 y) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (log.f64 (pow.f64 y y)) 1 x)
(fma.f64 x 1 (log.f64 (pow.f64 y y)))
(fma.f64 1 (log.f64 (pow.f64 y y)) x)
(fma.f64 1 x (log.f64 (pow.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(fma.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (cbrt.f64 (log.f64 (pow.f64 y y))) x)
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) (log.f64 y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (log.f64 (pow.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (log.f64 (pow.f64 y y)))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 (pow.f64 y y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 0 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(pow.f64 (exp.f64 1) (fma.f64 y (log.f64 y) (-.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 x z))) (pow.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 (-.f64 x z)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (fma.f64 y (log.f64 y) (-.f64 x z))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 y (log.f64 y) (-.f64 x z))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (fma.f64 y (log.f64 y) (-.f64 x z))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))

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

eval58.0ms (1.9%)

Compiler: Compiled 2819 to 1037 computations (63.2% saved)

prune34.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	170	3	173
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	171	4	175

Accuracy

100.0%

Counts

175 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.5%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	70.9%	(*.f64 (pow.f64 y y) (exp.f64 x))
✓	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	76.6%	(exp.f64 (-.f64 x z))
▶	71.5%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	70.9%	(*.f64 (pow.f64 y y) (exp.f64 x))
✓	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	76.6%	(exp.f64 (-.f64 x z))

Compiler

Compiled 74 to 50 computations (32.4% saved)

localize172.0ms (5.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.2%	(/.f64 (pow.f64 y y) (exp.f64 z))

Compiler

Compiled 39 to 11 computations (71.8% saved)

series3.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms	z	@	0	(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms	y	@	inf	(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms	z	@	-inf	(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms	z	@	inf	(/.f64 (pow.f64 y y) (exp.f64 z))

rewrite79.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`pow1`
1528×	`add-exp-log`
1528×	`log1p-expm1-u`
1528×	`expm1-log1p-u`
1492×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	164	17
2	2078	17

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (pow.f64 y y) (exp.f64 z))

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

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1266×	`fma-def`
596×	`associate-/l*`
460×	`unswap-sqr`
444×	`div-sub`
428×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1371
1	360	1167
2	1321	929
3	6758	929

Stop Event

1×	node limit

Counts

39 → 63

Calls

Call 1

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

Outputs
(/.f64 1 (exp.f64 z))
(exp.f64 (neg.f64 z))
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(+.f64 (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))) (exp.f64 (neg.f64 z)))
(+.f64 (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (exp.f64 (neg.f64 z)))
(fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))
(fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 2))) (+.f64 (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))) (exp.f64 (neg.f64 z))))
(+.f64 (.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (fma.f64 1/2 (.f64 (/.f64 (*.f64 y y) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 z))))
(fma.f64 1/2 (.f64 (pow.f64 (log.f64 y) 2) (/.f64 (.f64 y y) (exp.f64 z))) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 2))) (+.f64 (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))) (exp.f64 (neg.f64 z)))))
(fma.f64 1/6 (.f64 (/.f64 (pow.f64 y 3) (exp.f64 z)) (pow.f64 (log.f64 y) 3)) (+.f64 (.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (fma.f64 1/2 (.f64 (/.f64 (.f64 y y) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 z)))))
(fma.f64 1/2 (.f64 (pow.f64 (log.f64 y) 2) (/.f64 (.f64 y y) (exp.f64 z))) (fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 y 3) (exp.f64 z))) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))))
(pow.f64 y y)
(+.f64 (.f64 -1 (.f64 z (pow.f64 y y))) (pow.f64 y y))
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (pow.f64 y y))
(*.f64 (+.f64 (neg.f64 z) 1) (pow.f64 y y))
(*.f64 (pow.f64 y y) (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 y y))) (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y y)) (.f64 1/2 (pow.f64 y y))))) (pow.f64 y y)))
(fma.f64 -1 (.f64 z (pow.f64 y y)) (fma.f64 -1 (.f64 (.f64 z z) (.f64 (pow.f64 y y) -1/2)) (pow.f64 y y)))
(+.f64 (.f64 (+.f64 (neg.f64 z) 1) (pow.f64 y y)) (.f64 (pow.f64 y y) (.f64 1/2 (.f64 z z))))
(.f64 (pow.f64 y y) (+.f64 (fma.f64 z -1 1) (.f64 1/2 (*.f64 z z))))
(+.f64 (.f64 -1 (.f64 z (pow.f64 y y))) (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) (+.f64 (.f64 -1 (pow.f64 y y)) (.f64 1/2 (pow.f64 y y))))) (+.f64 (.f64 -1 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1 (+.f64 (.f64 -1 (pow.f64 y y)) (.f64 1/2 (pow.f64 y y)))) (+.f64 (.f64 -1/2 (pow.f64 y y)) (*.f64 1/6 (pow.f64 y y)))))) (pow.f64 y y))))
(fma.f64 -1 (.f64 z (pow.f64 y y)) (fma.f64 -1 (.f64 (.f64 z z) (.f64 (pow.f64 y y) -1/2)) (fma.f64 -1 (.f64 (pow.f64 z 3) (fma.f64 -1 (.f64 (pow.f64 y y) -1/2) (*.f64 (pow.f64 y y) -1/3))) (pow.f64 y y))))
(+.f64 (-.f64 (.f64 (pow.f64 y y) (.f64 1/2 (.f64 z z))) (.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y y) -1/3 (.f64 1/2 (pow.f64 y y))))) (.f64 (+.f64 (neg.f64 z) 1) (pow.f64 y y)))
(-.f64 (.f64 (pow.f64 y y) (+.f64 (fma.f64 z -1 1) (.f64 1/2 (.f64 z z)))) (.f64 (pow.f64 z 3) (*.f64 1/6 (pow.f64 y y))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z))) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.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 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(.f64 (sqrt.f64 (pow.f64 y y)) (.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 z) 3)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1))
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 0)
(/.f64 (pow.f64 y y) (exp.f64 z))

eval14.0ms (0.5%)

Compiler: Compiled 998 to 366 computations (63.3% saved)

prune11.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	2	1	3
Done	1	0	1
Total	64	3	67

Accuracy

100.0%

Counts

67 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(pow.f64 y y)
✓	76.6%	(exp.f64 (-.f64 x z))
▶	54.1%	(exp.f64 (neg.f64 z))
▶	55.9%	(pow.f64 y y)
✓	76.6%	(exp.f64 (-.f64 x z))
▶	54.1%	(exp.f64 (neg.f64 z))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize53.0ms (1.8%)

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

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	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
✓	55.9%	(pow.f64 y y)
✓	76.6%	(exp.f64 (-.f64 x z))
✓	54.1%	(exp.f64 (neg.f64 z))

Compiler

Compiled 61 to 32 computations (47.5% saved)

regimes39.0ms (1.3%)

Counts

7 → 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))
(*.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:

6.0ms	(+.f64 x (*.f64 y (log.f64 y)))
6.0ms	x
5.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
5.0ms	(*.f64 y (log.f64 y))
5.0ms	z

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 93 to 53 computations (43% saved)

regimes64.0ms (2.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	z
14.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
88.7%	2	`x`
94.4%	2	`y`
90.3%	2	`z`

Compiler

Compiled 45 to 22 computations (51.1% saved)

regimes38.0ms (1.3%)

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:

22.0ms	x
9.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
67.0%	6	`x`
76.2%	3	`z`
78.0%	2	`y`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes9.0ms (0.3%)

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:

3.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
54.1%	1	`x`
54.1%	1	`z`
54.1%	1	`y`

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch12.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	33576003.72431728	404594745.4739462

Results

7.0ms	66×	body	256	infinite
3.0ms	30×	body	256	valid

Compiler

Compiled 108 to 79 computations (26.9% saved)

bsearch13.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	33576003.72431728	404594745.4739462

Results

9.0ms	71×	body	256	infinite
3.0ms	25×	body	256	valid

Compiler

Compiled 102 to 79 computations (22.5% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`sub-neg`
4×	`*-commutative`
2×	`neg-mul-1`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	33	88
2	37	88
3	38	88

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 230000000) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 35000000) (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 y 230000000) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 35000000) (exp.f64 (neg.f64 z)) (pow.f64 y y))
(exp.f64 (neg.f64 z))

Compiler

Compiled 45 to 31 computations (31.1% saved)

soundness313.0ms (10.3%)

Rules

1302×	`fma-neg`
1266×	`fma-def`
1112×	`fma-def`
1110×	`distribute-lft-in`
1078×	`unswap-sqr`

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
0	331	5053
1	817	4597
2	2668	3973
0	127	1371
1	360	1167
2	1321	929
3	6758	929

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 100 to 45 computations (55% saved)

end0.0ms (0%)

preprocess67.0ms (2.2%)

Compiler: Compiled 120 to 70 computations (41.7% saved)

analyze59.0ms (2%)

sample1.4s (47.7%)

preprocess71.0ms (2.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize86.0ms (2.8%)

series79.0ms (2.6%)

rewrite117.0ms (3.9%)

simplify107.0ms (3.5%)

eval58.0ms (1.9%)

prune34.0ms (1.1%)

localize172.0ms (5.7%)

series3.0ms (0.1%)

rewrite79.0ms (2.6%)

simplify70.0ms (2.3%)

eval14.0ms (0.5%)

prune11.0ms (0.4%)

localize53.0ms (1.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes39.0ms (1.3%)

regimes64.0ms (2.1%)

regimes38.0ms (1.3%)

regimes9.0ms (0.3%)

bsearch12.0ms (0.4%)

bsearch13.0ms (0.4%)

simplify6.0ms (0.2%)

soundness313.0ms (10.3%)

end0.0ms (0%)

preprocess67.0ms (2.2%)

Profiling