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

analyze35.0ms (0.8%)

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)

sample1.7s (38.3%)

Results

930.0ms	4781×	body	256	infinite
594.0ms	3475×	body	256	valid
168.0ms	995×	body	256	invalid

Bogosity

preprocess86.0ms (1.9%)

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)

prune6.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.1%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	78.1%	(*.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)

localize176.0ms (4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	97.8%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
✓	99.7%	(*.f64 y (log.f64 y))

Compiler

Compiled 57 to 13 computations (77.2% saved)

series201.0ms (4.5%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
92.0ms	y	@	0	(*.f64 y (log.f64 y))
47.0ms	y	@	-inf	(*.f64 y (log.f64 y))
24.0ms	x	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
17.0ms	y	@	inf	(*.f64 y (log.f64 y))
6.0ms	z	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite83.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`fma-def`
1538×	`log-prod`
566×	`expm1-udef`
566×	`log1p-udef`
536×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	65
1	323	57
2	4606	57

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

simplify312.0ms (7%)

Algorithm

1×	egg-herbie

Rules

1460×	`fma-neg`
942×	`unswap-sqr`
794×	`*-commutative`
636×	`associate-*r/`
556×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4798
1	640	4488
2	2164	3966
3	7561	3966

Stop Event

1×	node limit

Counts

148 → 131

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

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 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(fma.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 1 x))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (.f64 y (log.f64 y)) z))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (.f64 x x)) (fma.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (.f64 x x)) (*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z))))
(.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 1 x) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x) (+.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (.f64 1/6 (.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (.f64 x x)) (+.f64 (fma.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (.f64 y (log.f64 y)) z))) (.f64 1/6 (.f64 (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)) (pow.f64 x 3)))))
(fma.f64 1/6 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (.f64 x x)) (.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z)))))
(fma.f64 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1/2) (.f64 x x) (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1 x))))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (.f64 y (log.f64 y)) (+.f64 (.f64 -1 x) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 x z))
(+.f64 (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z)))
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eval59.0ms (1.3%)

Compiler: Compiled 2275 to 705 computations (69% saved)

prune41.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	129	4	133

Accuracy

100.0%

Counts

133 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.0%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	66.2%	(*.f64 (pow.f64 y y) (exp.f64 x))
▶	76.5%	(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
▶	79.6%	(exp.f64 (-.f64 x z))
▶	62.0%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	66.2%	(*.f64 (pow.f64 y y) (exp.f64 x))
▶	76.5%	(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
▶	79.6%	(exp.f64 (-.f64 x z))

Compiler

Compiled 70 to 48 computations (31.4% saved)

localize373.0ms (8.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	98.6%	(/.f64 (pow.f64 y y) (exp.f64 z))
✓	99.2%	(*.f64 (pow.f64 y y) (exp.f64 x))
	99.7%	(*.f64 y (log.f64 y))

Compiler

Compiled 60 to 15 computations (75% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite165.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`log-prod`
666×	`pow-prod-down`
648×	`pow-prod-up`
632×	`prod-exp`
526×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	220	34
2	2734	34

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

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

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

910×	`unswap-sqr`
714×	`*-commutative`
682×	`distribute-lft-in`
656×	`distribute-rgt-in`
544×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	2357
1	633	2197
2	2108	2125

Stop Event

1×	node limit

Counts

85 → 135

Calls

Call 1

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

Outputs
(exp.f64 x)
(+.f64 (.f64 y (.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))
(fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))
(.f64 (+.f64 (.f64 y (log.f64 y)) 1) (exp.f64 x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x)))
(fma.f64 1/2 (.f64 (.f64 y y) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (fma.f64 y (.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))
(fma.f64 1/2 (.f64 (pow.f64 (log.f64 y) 2) (.f64 (exp.f64 x) (.f64 y y))) (fma.f64 y (.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))
(+.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 (.f64 y (log.f64 y)) (.f64 1/2 (.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (.f64 y (.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))))
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eval44.0ms (1%)

Compiler: Compiled 2333 to 888 computations (61.9% saved)

prune34.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	166	4	170

Accuracy

100.0%

Counts

170 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.5%	(pow.f64 y y)
✓	66.2%	(*.f64 (pow.f64 y y) (exp.f64 x))
▶	53.0%	(exp.f64 (neg.f64 z))
▶	53.2%	(exp.f64 x)
▶	45.5%	(pow.f64 y y)
✓	66.2%	(*.f64 (pow.f64 y y) (exp.f64 x))
▶	53.0%	(exp.f64 (neg.f64 z))
▶	53.2%	(exp.f64 x)

Compiler

Compiled 52 to 38 computations (26.9% saved)

localize38.0ms (0.9%)

Compiler: Compiled 17 to 8 computations (52.9% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	1	1
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.5%	(pow.f64 y y)
✓	66.2%	(*.f64 (pow.f64 y y) (exp.f64 x))
✓	53.0%	(exp.f64 (neg.f64 z))
✓	53.2%	(exp.f64 x)

Compiler

Compiled 77 to 39 computations (49.4% saved)

regimes43.0ms (1%)

Counts

9 → 1

Calls

Call 1

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

7.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
7.0ms	(*.f64 y (log.f64 y))
7.0ms	x
6.0ms	(+.f64 x (*.f64 y (log.f64 y)))
6.0ms	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 102 to 55 computations (46.1% saved)

regimes52.0ms (1.2%)

Counts

8 → 2

Calls

Call 1

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

Calls

4 calls:

16.0ms	x
13.0ms	(*.f64 y (log.f64 y))
11.0ms	y
10.0ms	z

Results

Accuracy	Segments	Branch
96.1%	3	`x`
95.2%	2	`y`
88.7%	2	`z`
95.2%	2	`(*.f64 y (log.f64 y))`

Compiler

Compiled 61 to 31 computations (49.2% saved)

regimes44.0ms (1%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	y
20.0ms	x

Results

Accuracy	Segments	Branch
87.5%	3	`x`
91.8%	4	`y`

Compiler

Compiled 35 to 18 computations (48.6% saved)

regimes54.0ms (1.2%)

Counts

3 → 5

Calls

Call 1

Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)

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

Calls

3 calls:

21.0ms	y
16.0ms	x
16.0ms	z

Results

Accuracy	Segments	Branch
79.5%	5	`x`
77.7%	5	`z`
75.1%	6	`y`

Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes11.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))

Outputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(exp.f64 x)

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
76.4%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(exp.f64 x)

Outputs
(exp.f64 x)

Calls

3 calls:

3.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
53.2%	1	`y`
53.2%	1	`z`
53.2%	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	164338733559696900.0	355381199911194560.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch50.0ms (1.1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.6212582533092496e+174	2.6696563847154236e+175
17.0ms	9.64151689270697e+68	7.007446752690496e+72
20.0ms	1.8798955255601607e+42	1.1773582758918088e+53

Results

31.0ms	259×	body	256	infinite
14.0ms	125×	body	256	valid

Compiler

Compiled 378 to 277 computations (26.7% saved)

bsearch89.0ms (2%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.870738279464957e+28	1.0945638751412691e+35
19.0ms	4.985254014707054e-241	4.256733801236444e-235
23.0ms	-3.453730176678246e-131	-4.056439142987649e-139
28.0ms	-2.1318461183537312e-19	-2.5890113721527357e-26

Results

42.0ms	309×	body	256	infinite
39.0ms	267×	body	256	valid

Compiler

Compiled 504 to 409 computations (18.8% saved)

bsearch44.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	8.870738279464957e+28	1.0945638751412691e+35
25.0ms	-2.1318461183537312e-19	-2.5890113721527357e-26

Results

24.0ms	177×	body	256	infinite
16.0ms	111×	body	256	valid

Compiler

Compiled 252 to 211 computations (16.3% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`sub-neg`
6×	`if-if-or-not`
4×	`not-or`
4×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	254
1	67	250
2	75	250
3	79	246
4	80	246
5	81	246

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (.f64 y (log.f64 y)) 200000000000000000) (exp.f64 (-.f64 x z)) (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(if (<=.f64 y 950000000000000001088731685519046639007842697216) (exp.f64 (-.f64 x z)) (if (<=.f64 y 49000000000000002787792612261988092002586832497524984011022736526671872) (pow.f64 y y) (if (<=.f64 y 10499999999999999515850070953880811008823633394375383301064106896043139313317623106289361117990040323408803064342881642239003226054390728021417720094933046663449260814139129856) (exp.f64 (-.f64 x z)) (pow.f64 y y))))
(if (<=.f64 x -4361529361169255/20769187434139310514121985316880384) (exp.f64 x) (if (<=.f64 x -6751368128785793/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (exp.f64 (neg.f64 z)) (if (<=.f64 x 5818325542323643/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (pow.f64 y y) (if (<=.f64 x 89999999999999994049054375936) (exp.f64 (neg.f64 z)) (exp.f64 x)))))
(if (<=.f64 x -4361529361169255/20769187434139310514121985316880384) (exp.f64 x) (if (<=.f64 x 220000000000000012818866765824) (exp.f64 (neg.f64 z)) (exp.f64 x)))
(exp.f64 x)

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (.f64 y (log.f64 y)) 200000000000000000) (exp.f64 (-.f64 x z)) (exp.f64 (-.f64 (.f64 y (log.f64 y)) z)))
(if (<=.f64 y 950000000000000001088731685519046639007842697216) (exp.f64 (-.f64 x z)) (if (<=.f64 y 49000000000000002787792612261988092002586832497524984011022736526671872) (pow.f64 y y) (if (<=.f64 y 10499999999999999515850070953880811008823633394375383301064106896043139313317623106289361117990040323408803064342881642239003226054390728021417720094933046663449260814139129856) (exp.f64 (-.f64 x z)) (pow.f64 y y))))
(if (or (<=.f64 y 950000000000000001088731685519046639007842697216) (not (or (<=.f64 y 49000000000000002787792612261988092002586832497524984011022736526671872) (not (<=.f64 y 10499999999999999515850070953880811008823633394375383301064106896043139313317623106289361117990040323408803064342881642239003226054390728021417720094933046663449260814139129856))))) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (or (<=.f64 y 950000000000000001088731685519046639007842697216) (and (not (<=.f64 y 49000000000000002787792612261988092002586832497524984011022736526671872)) (<=.f64 y 10499999999999999515850070953880811008823633394375383301064106896043139313317623106289361117990040323408803064342881642239003226054390728021417720094933046663449260814139129856))) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 x -4361529361169255/20769187434139310514121985316880384) (exp.f64 x) (if (<=.f64 x -6751368128785793/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (exp.f64 (neg.f64 z)) (if (<=.f64 x 5818325542323643/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (pow.f64 y y) (if (<=.f64 x 89999999999999994049054375936) (exp.f64 (neg.f64 z)) (exp.f64 x)))))
(if (<=.f64 x -4361529361169255/20769187434139310514121985316880384) (exp.f64 x) (if (<=.f64 x 220000000000000012818866765824) (exp.f64 (neg.f64 z)) (exp.f64 x)))
(exp.f64 x)

Compiler

Compiled 111 to 71 computations (36% saved)

soundness465.0ms (10.4%)

Rules

1460×	`fma-neg`
1460×	`fma-neg`
942×	`unswap-sqr`
942×	`unswap-sqr`
910×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4798
1	640	4488
2	2164	3966
3	7561	3966
0	254	4798
1	640	4488
2	2164	3966
3	7561	3966
0	245	2357
1	633	2197
2	2108	2125

Stop Event

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

Compiler

Compiled 72 to 38 computations (47.2% saved)

end0.0ms (0%)

preprocess155.0ms (3.5%)

Compiler: Compiled 240 to 126 computations (47.5% saved)

analyze35.0ms (0.8%)

sample1.7s (38.3%)

preprocess86.0ms (1.9%)

eval1.0ms (0%)

prune6.0ms (0.1%)

localize176.0ms (4%)

series201.0ms (4.5%)

rewrite83.0ms (1.9%)

simplify312.0ms (7%)

eval59.0ms (1.3%)

prune41.0ms (0.9%)

localize373.0ms (8.4%)

series5.0ms (0.1%)

rewrite165.0ms (3.7%)

simplify61.0ms (1.4%)

eval44.0ms (1%)

prune34.0ms (0.8%)

localize38.0ms (0.9%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes43.0ms (1%)

regimes52.0ms (1.2%)

regimes44.0ms (1%)

regimes54.0ms (1.2%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

bsearch50.0ms (1.1%)

bsearch89.0ms (2%)

bsearch44.0ms (1%)

simplify11.0ms (0.2%)

soundness465.0ms (10.4%)

end0.0ms (0%)

preprocess155.0ms (3.5%)

Profiling