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

analyze37.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
66.7%	49.9%	25%	0.1%	0%	25%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
88.9%	49.9%	6.2%	0.1%	0%	43.7%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.4s (43.5%)

Results

913.0ms	4898×	body	256	infinite
427.0ms	3358×	body	256	valid
90.0ms	1021×	body	256	invalid

Bogosity

preprocess149.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1500×	`fma-neg`
1264×	`fma-def`
1112×	`times-frac`
960×	`exp-sum`
672×	`associate-l`

Problems

256×

No Errors

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	473
1	108	421
2	292	421
3	889	405
4	2293	405
5	6780	405

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)))
(neg.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z)))
(neg.f64 (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)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(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)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(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 (-.f64 (*.f64 y (log.f64 y)) x) z))
(/.f64 (/.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 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))
(exp.f64 (-.f64 x (+.f64 (*.f64 y (log.f64 (neg.f64 y))) z)))
(/.f64 (exp.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) y))
(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 x (fma.f64 y (log.f64 y) z)))
(*.f64 (pow.f64 y y) (exp.f64 (+.f64 x z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z)))
(neg.f64 (exp.f64 (+.f64 (neg.f64 x) (-.f64 (*.f64 y (log.f64 y)) z))))
(neg.f64 (exp.f64 (-.f64 (-.f64 (*.f64 y (log.f64 y)) x) z)))
(/.f64 (neg.f64 (/.f64 (pow.f64 y y) (exp.f64 x))) (exp.f64 z))
(/.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (+.f64 x z)))
(/.f64 (pow.f64 y y) (neg.f64 (exp.f64 (+.f64 x z))))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z)))
(neg.f64 (exp.f64 (-.f64 (fma.f64 (neg.f64 y) (log.f64 (neg.f64 y)) x) z)))
(neg.f64 (exp.f64 (-.f64 x (+.f64 (*.f64 y (log.f64 (neg.f64 y))) z))))
(neg.f64 (/.f64 (exp.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (exp.f64 (-.f64 x z))) (pow.f64 (neg.f64 y) y))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z))))
(neg.f64 (exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))))
(neg.f64 (exp.f64 (+.f64 x (fma.f64 y (log.f64 y) z))))
(neg.f64 (*.f64 (pow.f64 y y) (exp.f64 (+.f64 x z))))
(*.f64 (pow.f64 y y) (neg.f64 (exp.f64 (+.f64 x z))))
(*.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (+.f64 x z)))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (+.f64 y (-.f64 (*.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 x (-.f64 (*.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 48 to 17 computations (64.6% saved)

eval1.0ms (0%)

Compiler: Compiled 36 to 18 computations (50% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.4%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	84.4%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 46 to 30 computations (34.8% saved)

localize73.0ms (2.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.4%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓	99.7%	(*.f64 y (log.f64 y))

Compiler

Compiled 57 to 13 computations (77.2% saved)

series85.0ms (2.6%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	(*.f64 y (log.f64 y))
25.0ms	y	@	-inf	(*.f64 y (log.f64 y))
11.0ms	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)))

rewrite120.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`log-prod`
888×	`log1p-expm1-u`
888×	`expm1-log1p-u`
718×	`prod-diff`
508×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	195	52
2	2400	52

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

simplify84.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1874×	`fma-def`
778×	`*-commutative`
688×	`unswap-sqr`
598×	`fma-neg`
490×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	3628
1	456	3331
2	1577	2920
3	6429	2920

Stop Event

1×	node limit

Counts

87 → 100

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

eval30.0ms (0.9%)

Compiler: Compiled 1679 to 625 computations (62.8% saved)

prune16.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	98	4	102

Accuracy

100.0%

Counts

102 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.7%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	71.3%	(*.f64 (pow.f64 y y) (exp.f64 x))
✓	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	75.4%	(exp.f64 (-.f64 x z))
▶	68.7%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	71.3%	(*.f64 (pow.f64 y y) (exp.f64 x))
✓	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	75.4%	(exp.f64 (-.f64 x z))

Compiler

Compiled 74 to 50 computations (32.4% saved)

localize178.0ms (5.4%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 39 to 11 computations (71.8% saved)

series4.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite67.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`log-prod`
749×	`log1p-expm1-u`
749×	`expm1-log1p-u`
542×	`pow-prod-down`
498×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	170	52
2	2056	52

Stop Event

1×	node limit

Counts

2 → 65

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

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

904×	`unswap-sqr`
686×	`distribute-lft-in`
656×	`distribute-rgt-in`
554×	`associate-*r/`
502×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	3587
1	626	3415
2	2152	3225

Stop Event

1×	node limit

Counts

97 → 126

Calls

Call 1

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

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

eval40.0ms (1.2%)

Compiler: Compiled 1902 to 732 computations (61.5% saved)

prune19.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	0	0	0
Picked	3	0	3
Done	1	0	1
Total	127	3	130

Accuracy

100.0%

Counts

130 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(pow.f64 y y)
▶	49.0%	(exp.f64 (neg.f64 z))
▶	50.5%	(exp.f64 x)
▶	52.5%	(pow.f64 y y)
▶	49.0%	(exp.f64 (neg.f64 z))
▶	50.5%	(exp.f64 x)

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize36.0ms (1.1%)

Compiler: Compiled 17 to 8 computations (52.9% 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	3	3
Done	0	0
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(pow.f64 y y)
✓	49.0%	(exp.f64 (neg.f64 z))
✓	50.5%	(exp.f64 x)

Compiler

Compiled 61 to 31 computations (49.2% saved)

regimes41.0ms (1.2%)

Counts

8 → 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))
(*.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 x (*.f64 y (log.f64 y)))
7.0ms	z
6.0ms	x
6.0ms	(*.f64 y (log.f64 y))
6.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) 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 95 to 53 computations (44.2% saved)

regimes83.0ms (2.5%)

Counts

7 → 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))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

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

Calls

3 calls:

54.0ms	y
15.0ms	z
12.0ms	x

Results

Accuracy	Segments	Branch
88.7%	2	`x`
93.1%	2	`y`
90.8%	3	`z`

Compiler

Compiled 47 to 22 computations (53.2% saved)

regimes12.0ms (0.4%)

Counts

6 → 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))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
92.6%	2	`y`

Compiler

Compiled 31 to 15 computations (51.6% saved)

regimes90.0ms (2.7%)

Counts

3 → 4

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))
(exp.f64 x)
(pow.f64 y y)

Calls

3 calls:

49.0ms	x
24.0ms	z
15.0ms	y

Results

Accuracy	Segments	Branch
80.9%	7	`x`
78.6%	7	`z`
80.1%	4	`y`

Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes45.0ms (1.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
12.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
71.3%	3	`z`
70.5%	3	`x`
58.1%	7	`y`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes7.0ms (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

2 calls:

3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
50.5%	1	`x`
50.5%	1	`z`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch20.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.37095890382876	1098904973.9283948

Results

9.0ms	67×	body	256	infinite
9.0ms	77×	body	256	valid

Compiler

Compiled 189 to 130 computations (31.2% saved)

bsearch12.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0907342480561441e-10	4.52243722194999e-10

Results

8.0ms	72×	body	256	valid
3.0ms	24×	body	256	infinite

Compiler

Compiled 108 to 79 computations (26.9% saved)

bsearch43.0ms (1.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.0907342480561441e-10	4.52243722194999e-10
10.0ms	3.24087340377011e-44	7.779941398709484e-44
17.0ms	3.323021815327068e-159	3.1411914494505225e-155

Results

26.0ms	191×	body	256	valid
13.0ms	113×	body	256	infinite

Compiler

Compiled 265 to 216 computations (18.5% saved)

bsearch24.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.611106387583818e+47	1.330677551915413e+48
14.0ms	-5.115129864653109e-29	-6.695682176496684e-31

Results

11.0ms	98×	body	256	infinite
11.0ms	94×	body	256	valid

Compiler

Compiled 174 to 145 computations (16.7% saved)

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	277
1	58	277
2	62	277
3	63	277

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 145) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 y y))
(if (<=.f64 y 4352132950612665/9671406556917033397649408) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 7667242445666241/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (exp.f64 x) (if (<=.f64 y 6226884921503587/100433627766186892221372630771322662657637687111424552206336) (exp.f64 (neg.f64 z)) (if (<=.f64 y 4352132950612665/9671406556917033397649408) (exp.f64 x) (pow.f64 y y))))
(if (<=.f64 z -8920298079412249/178405961588244985132285746181186892047843328) (exp.f64 (neg.f64 z)) (if (<=.f64 z 980000000000000059194853867096009746699167727616) (exp.f64 x) (exp.f64 (neg.f64 z))))
(exp.f64 x)

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 145) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 y y))
(if (<=.f64 y 4352132950612665/9671406556917033397649408) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 7667242445666241/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (exp.f64 x) (if (<=.f64 y 6226884921503587/100433627766186892221372630771322662657637687111424552206336) (exp.f64 (neg.f64 z)) (if (<=.f64 y 4352132950612665/9671406556917033397649408) (exp.f64 x) (pow.f64 y y))))
(if (<=.f64 z -8920298079412249/178405961588244985132285746181186892047843328) (exp.f64 (neg.f64 z)) (if (<=.f64 z 980000000000000059194853867096009746699167727616) (exp.f64 x) (exp.f64 (neg.f64 z))))
(if (or (<=.f64 z -8920298079412249/178405961588244985132285746181186892047843328) (not (<=.f64 z 980000000000000059194853867096009746699167727616))) (exp.f64 (neg.f64 z)) (exp.f64 x))
(exp.f64 x)

Compiler

Compiled 91 to 60 computations (34.1% saved)

soundness401.0ms (12.1%)

Rules

1874×	`fma-def`
1874×	`fma-def`
1500×	`fma-neg`
1264×	`fma-def`
1112×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	473
1	108	421
2	292	421
3	889	405
4	2293	405
5	6780	405
0	187	3628
1	456	3331
2	1577	2920
3	6429	2920
0	187	3628
1	456	3331
2	1577	2920
3	6429	2920
0	241	3587
1	626	3415
2	2152	3225

Stop Event

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

Compiler

Compiled 156 to 61 computations (60.9% saved)

end0.0ms (0%)

preprocess77.0ms (2.3%)

Compiler: Compiled 200 to 106 computations (47% saved)

analyze37.0ms (1.1%)

sample1.4s (43.5%)

preprocess149.0ms (4.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize73.0ms (2.2%)

series85.0ms (2.6%)

rewrite120.0ms (3.6%)

simplify84.0ms (2.5%)

eval30.0ms (0.9%)

prune16.0ms (0.5%)

localize178.0ms (5.4%)

series4.0ms (0.1%)

rewrite67.0ms (2%)

simplify61.0ms (1.8%)

eval40.0ms (1.2%)

prune19.0ms (0.6%)

localize36.0ms (1.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes41.0ms (1.2%)

regimes83.0ms (2.5%)

regimes12.0ms (0.4%)

regimes90.0ms (2.7%)

regimes45.0ms (1.4%)

regimes7.0ms (0.2%)

bsearch20.0ms (0.6%)

bsearch12.0ms (0.4%)

bsearch43.0ms (1.3%)

bsearch24.0ms (0.7%)

simplify20.0ms (0.6%)

soundness401.0ms (12.1%)

end0.0ms (0%)

preprocess77.0ms (2.3%)

Profiling