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

analyze41.0ms (1.2%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.7s (47.8%)

Results

893.0ms	4770×	body	256	infinite
558.0ms	3486×	body	256	valid
191.0ms	1105×	body	256	invalid

Bogosity

preprocess75.0ms (2.2%)

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	205
1	95	173
2	261	173
3	775	165
4	1883	165
5	5492	165

Stop Event

1×	node limit

Calls

Call 1

Inputs
(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 (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 15 to 11 computations (26.7% saved)

simplify79.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1234×	`fma-def`
1016×	`unswap-sqr`
784×	`associate-*r/`
778×	`associate-/l/`
654×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	20	23
2	44	23
3	92	23
4	160	23
5	315	23
6	973	23
7	2567	23
8	5244	23
9	5941	23
10	7376	23

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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)))

eval1.0ms (0%)

Compiler: Compiled 37 to 18 computations (51.4% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Accurracy

100.0%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.0%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	82.0%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 46 to 30 computations (34.8% saved)

localize64.0ms (1.9%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	98.9%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓	99.6%	(*.f64 y (log.f64 y))

Compiler

Compiled 57 to 13 computations (77.2% saved)

series131.0ms (3.8%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
74.0ms	y	@	0	(*.f64 y (log.f64 y))
21.0ms	y	@	-inf	(*.f64 y (log.f64 y))
20.0ms	x	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
7.0ms	z	@	inf	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
6.0ms	y	@	inf	(*.f64 y (log.f64 y))

rewrite69.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`log-prod`
836×	`pow-prod-down`
718×	`prod-diff`
712×	`pow-prod-up`
586×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	245	34
2	3134	34

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

simplify83.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1532×	`fma-def`
678×	`*-commutative`
612×	`unswap-sqr`
508×	`distribute-lft-in`
498×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2510
1	496	2220
2	1580	1852
3	6158	1852

Stop Event

1×	node limit

Counts

78 → 105

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

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

eval22.0ms (0.6%)

Compiler: Compiled 1804 to 624 computations (65.4% saved)

prune20.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	103	4	107

Accurracy

100.0%

Counts

107 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.6%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	66.0%	(*.f64 (pow.f64 y y) (exp.f64 x))
✓	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	79.9%	(exp.f64 (-.f64 x z))
▶	68.6%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	66.0%	(*.f64 (pow.f64 y y) (exp.f64 x))
✓	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	79.9%	(exp.f64 (-.f64 x z))

Compiler

Compiled 74 to 50 computations (32.4% saved)

localize222.0ms (6.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(/.f64 (pow.f64 y y) (exp.f64 z))
✓	98.9%	(*.f64 (pow.f64 y y) (exp.f64 x))

Compiler

Compiled 39 to 11 computations (71.8% saved)

series6.0ms (0.2%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(*.f64 (pow.f64 y y) (exp.f64 x))
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))

rewrite68.0ms (2%)

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 (1.8%)

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

eval27.0ms (0.8%)

Compiler: Compiled 1985 to 713 computations (64.1% saved)

prune22.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	0	0	0
Picked	3	0	3
Done	1	0	1
Total	136	3	139

Accurracy

100.0%

Counts

139 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.0%	(pow.f64 y y)
▶	52.0%	(exp.f64 (neg.f64 z))
▶	52.0%	(exp.f64 x)
▶	49.0%	(pow.f64 y y)
▶	52.0%	(exp.f64 (neg.f64 z))
▶	52.0%	(exp.f64 x)

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize45.0ms (1.3%)

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

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(pow.f64 y y)
✓	52.0%	(exp.f64 (neg.f64 z))
✓	52.0%	(exp.f64 x)

Compiler

Compiled 61 to 31 computations (49.2% saved)

regimes40.0ms (1.1%)

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

regimes43.0ms (1.2%)

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

Calls

3 calls:

17.0ms	x
14.0ms	z
10.0ms	y

Results

Accuracy	Segments	Branch
90.0%	3	`x`
92.5%	2	`y`
88.7%	3	`z`

Compiler

Compiled 47 to 22 computations (53.2% saved)

regimes94.0ms (2.7%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	z
24.0ms	x
23.0ms	y

Results

Accuracy	Segments	Branch
80.5%	6	`z`
76.9%	6	`x`
79.1%	7	`y`

Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes17.0ms (0.5%)

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

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
74.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.3%)

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
52.0%	1	`x`
52.0%	1	`y`
52.0%	1	`z`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch17.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.3878115864842466e+109	2.4112774853735683e+112

Results

11.0ms	93×	body	256	infinite
4.0ms	35×	body	256	valid

Compiler

Compiled 138 to 101 computations (26.8% saved)

bsearch135.0ms (3.9%)

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	0.0018745220877261473	0.10311248729728338
17.0ms	2.7871386887921366e-230	1.690418102206983e-227
17.0ms	-5.070587061954129e-286	-6.081839416629007e-290
16.0ms	-8.988088119460902e-50	-4.9562986084063674e-52
68.0ms	-22329989452.971104	-1513195.255237595

Results

97.0ms	357×	body	256	infinite
31.0ms	251×	body	256	valid

Compiler

Compiled 520 to 408 computations (21.5% saved)

bsearch37.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0018745220877261473	0.10311248729728338
21.0ms	-1513195.255237595	-0.9547818947966976

Results

18.0ms	133×	body	256	infinite
16.0ms	123×	body	256	valid

Compiler

Compiled 226 to 189 computations (16.4% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	185
1	54	185
2	58	185
3	59	185

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 57999999999999999364535469646021636083140052579344040621499437568198364945685873157370950053011555948687261696) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 z -1550000) (exp.f64 (neg.f64 z)) (if (<=.f64 z -5265614583427859/421249166674228746791672110734681729275580381602196445017243910144) (pow.f64 y y) (if (<=.f64 z -4526052356754793/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (exp.f64 x) (if (<=.f64 z 1237583478742501/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) (pow.f64 y y) (if (<=.f64 z 7839866231326559/576460752303423488) (exp.f64 x) (exp.f64 (neg.f64 z)))))))
(if (<=.f64 z -195) (exp.f64 (neg.f64 z)) (if (<=.f64 z 7839866231326559/576460752303423488) (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 57999999999999999364535469646021636083140052579344040621499437568198364945685873157370950053011555948687261696) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 z -1550000) (exp.f64 (neg.f64 z)) (if (<=.f64 z -5265614583427859/421249166674228746791672110734681729275580381602196445017243910144) (pow.f64 y y) (if (<=.f64 z -4526052356754793/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (exp.f64 x) (if (<=.f64 z 1237583478742501/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) (pow.f64 y y) (if (<=.f64 z 7839866231326559/576460752303423488) (exp.f64 x) (exp.f64 (neg.f64 z)))))))
(if (<=.f64 z -195) (exp.f64 (neg.f64 z)) (if (<=.f64 z 7839866231326559/576460752303423488) (exp.f64 x) (exp.f64 (neg.f64 z))))
(if (or (<=.f64 z -195) (not (<=.f64 z 7839866231326559/576460752303423488))) (exp.f64 (neg.f64 z)) (exp.f64 x))
(exp.f64 x)

Compiler

Compiled 87 to 56 computations (35.6% saved)

soundness297.0ms (8.6%)

Rules

1532×	`fma-def`
1234×	`fma-def`
1016×	`unswap-sqr`
910×	`unswap-sqr`
784×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	20	23
2	44	23
3	92	23
4	160	23
5	315	23
6	973	23
7	2567	23
8	5244	23
9	5941	23
10	7376	23
0	200	2510
1	496	2220
2	1580	1852
3	6158	1852
0	245	2357
1	633	2197
2	2108	2125

Stop Event

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

Compiler

Compiled 123 to 48 computations (61% saved)

end0.0ms (0%)

preprocess68.0ms (2%)

Compiler: Compiled 198 to 110 computations (44.4% saved)

analyze41.0ms (1.2%)

sample1.7s (47.8%)

preprocess75.0ms (2.2%)

simplify79.0ms (2.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize64.0ms (1.9%)

series131.0ms (3.8%)

rewrite69.0ms (2%)

simplify83.0ms (2.4%)

eval22.0ms (0.6%)

prune20.0ms (0.6%)

localize222.0ms (6.4%)

series6.0ms (0.2%)

rewrite68.0ms (2%)

simplify61.0ms (1.8%)

eval27.0ms (0.8%)

prune22.0ms (0.6%)

localize45.0ms (1.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes40.0ms (1.1%)

regimes43.0ms (1.2%)

regimes94.0ms (2.7%)

regimes17.0ms (0.5%)

regimes9.0ms (0.3%)

bsearch17.0ms (0.5%)

bsearch135.0ms (3.9%)

bsearch37.0ms (1.1%)

simplify8.0ms (0.2%)

soundness297.0ms (8.6%)

end0.0ms (0%)

preprocess68.0ms (2%)

Profiling