Details

analyze158.0ms (6%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
29.7%	29.6%	70.2%	0.1%	0%	0%	0%	9
42.2%	42.1%	57.7%	0.1%	0%	0%	0%	10
47.7%	47.6%	52.1%	0.1%	0.2%	0%	0%	11
54.7%	53.8%	44.6%	0.1%	1.5%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (44.7%)

Results

966.0ms	8256×	body	256	valid
199.0ms	1968×	body	256	infinite

Bogosity

preprocess334.0ms (12.7%)

Algorithm

2×	egg-herbie

Rules

1612×	`fma-neg_binary64`
563×	`fma-def_binary64`
490×	`div-sub_binary64`
453×	`associate-/l*_binary64`
453×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	37	40
2	73	40
3	140	40
4	307	40
5	632	40
6	1575	40
7	3641	40
8	4295	40
9	4576	40
10	4738	40
11	4794	40
12	5726	40
13	5778	40
14	5994	40
15	6858	40
16	7684	40
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(-.f64 y (/.f64 (-.f64 y x) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(-.f64 z (/.f64 (-.f64 z y) x))
(+.f64 x (/.f64 (-.f64 z x) y))
(-.f64 x (/.f64 (-.f64 x z) y))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify35.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

377×	`fma-neg_binary64`
307×	`fma-def_binary64`
119×	`cancel-sign-sub-inv_binary64`
77×	`distribute-rgt-in_binary64`
56×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	88	10
5	166	10
6	385	10
7	724	10
8	1215	10
9	1500	10
10	1593	10
11	1671	10
12	1675	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	0.0b	(/.f64 (-.f64 y x) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series10.0ms (0.4%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+.f64 x (/.f64 (-.f64 y x) z))
1.0ms	x	@	inf	(+.f64 x (/.f64 (-.f64 y x) z))
1.0ms	y	@	-inf	(/.f64 (-.f64 y x) z)
1.0ms	x	@	-inf	(/.f64 (-.f64 y x) z)
1.0ms	y	@	inf	(/.f64 (-.f64 y x) z)

rewrite64.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`log-prod_binary64`
362×	`fma-def_binary64`
354×	`exp-prod_binary64`
315×	`pow-prod-down_binary64`
248×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	167	17
2	2731	17

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

Inputs
(/.f64 (-.f64 y x) z)
(+.f64 x (/.f64 (-.f64 y x) z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (-.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z -1/2) (/.f64 (-.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (-.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 y x) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 y x) z)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (-.f64 y x) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 z (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 y x) z)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (/.f64 1 (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (-.f64 (.f64 x x) (.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (-.f64 x (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (neg.f64 (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 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Outputs

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y x) z) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (-.f64 (*.f64 x x) (*.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (-.f64 x (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (neg.f64 (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (*.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))) (sqrt.f64 (log.f64 (+.f64 x (/.f64 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y x) z))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 y x) z) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) 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(neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))))

simplify68.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

764×	`times-frac_binary64`
529×	`unswap-sqr_binary64`
286×	`cancel-sign-sub-inv_binary64`
245×	`fma-neg_binary64`
158×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	2548
1	768	2479
2	2484	2455

Stop Event

1×	node limit

Counts

204 → 200

Calls

Call 1

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

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

eval57.0ms (2.1%)

Compiler: Compiled 2826 to 854 computations (69.8% saved)

prune32.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	196	4	200
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	5	201

Error

Counts

201 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.6b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
▶	12.5b	(+.f64 x (/.f64 y z))
▶	21.6b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	33.7b	x

Compiler

Compiled 40 to 27 computations (32.5% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 1 (/.f64 1 z)) x)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.0ms	z	@	0	(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.0ms	x	@	inf	(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.0ms	z	@	-inf	(*.f64 (-.f64 1 (/.f64 1 z)) x)
0.0ms	x	@	-inf	(*.f64 (-.f64 1 (/.f64 1 z)) x)

rewrite51.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	148	10
2	1873	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 (-.f64 1 (/.f64 1 z)) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (/.f64 -1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (-.f64 1 (/.f64 1 z)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 z -3)) x) (+.f64 1 (+.f64 (/.f64 1 z) (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 z -3))) (+.f64 1 (+.f64 (/.f64 1 z) (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 z -2))) (+.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 1 (/.f64 1 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 1 (/.f64 1 z)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 1 (/.f64 1 z)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 1 (/.f64 1 z)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (-.f64 1 (/.f64 1 z)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (/.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 1 (/.f64 1 z)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (/.f64 1 z)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 1 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 1 (/.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 -1 z))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 (/.f64 1 z)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z -3)) x) (+.f64 1 (+.f64 (/.f64 1 z) (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z -2)) x) (+.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z -3))) (+.f64 1 (+.f64 (/.f64 1 z) (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z -2))) (+.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (/.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 1 z)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 1 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 -1 z))))))))

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-def_binary64`
299×	`*-commutative_binary64`
297×	`associate-/l*_binary64`
270×	`associate-l_binary64`
247×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	293
1	152	268
2	436	268
3	2056	268
4	4627	268

Stop Event

1×	node limit

Counts

31 → 34

Calls

Call 1

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

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

localize11.0ms (0.4%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 x z))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
678×	`add-log-exp_binary64`
678×	`log1p-expm1-u_binary64`
678×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	116	7
2	1789	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(-.f64 x (/.f64 x z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (/.f64 1 z)) x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (/.f64 (neg.f64 x) z) 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) 2) (cbrt.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (sqrt.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2)) (/.f64 1 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 x z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3)) (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2)) (+.f64 x (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x z) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) 2))) (neg.f64 (+.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) z) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z)) (*.f64 x (/.f64 (neg.f64 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z))) (-.f64 x (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) z))))))

simplify67.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

925×	`div-sub_binary64`
461×	`fma-neg_binary64`
403×	`fma-def_binary64`
204×	`associate-/l*_binary64`
185×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	778
1	286	607
2	1030	547
3	4610	547

Stop Event

1×	node limit

Counts

60 → 47

Calls

Call 1

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

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

eval15.0ms (0.6%)

Compiler: Compiled 927 to 440 computations (52.5% saved)

prune43.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	80	6	86

Error

Counts

86 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.9b	(/.f64 (neg.f64 x) z)
✓	21.6b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	12.5b	(+.f64 x (/.f64 y z))
✓	21.6b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	33.7b	x

Compiler

Compiled 47 to 32 computations (31.9% saved)

localize5.0ms (0.2%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	50.9b	(/.f64 (neg.f64 x) z)
✓	21.6b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	12.5b	(+.f64 x (/.f64 y z))
✓	21.6b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	33.7b	x

Compiler

Compiled 47 to 32 computations (31.9% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	50.9b	(/.f64 (neg.f64 x) z)
✓	21.6b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	12.5b	(+.f64 x (/.f64 y z))
✓	21.6b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	33.7b	x

Compiler

Compiled 47 to 32 computations (31.9% saved)

regimes28.0ms (1%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 x (/.f64 (-.f64 y x) z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

Calls

4 calls:

13.0ms	y
4.0ms	x
4.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
4.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 54 to 32 computations (40.7% saved)

regimes77.0ms (2.9%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 1 z)) x)

Outputs
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 y z))

Calls

3 calls:

34.0ms	z
29.0ms	x
12.0ms	y

Results

Error	Segments	Branch
6.2b	3	`x`
5.9b	3	`y`
7.9b	5	`z`

Compiler

Compiled 37 to 23 computations (37.8% saved)

bsearch22.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	8.522859044676116e-10	7.271338451679131e-7
8.0ms	-1.6742031122193358e-67	-1.0389451281107911e-67

Results

20.0ms

192×

body

256

valid

Compiler

Compiled 232 to 155 computations (33.2% saved)

regimes32.0ms (1.2%)

Counts

3 → 5

Calls

Call 1

Inputs
x
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))

Outputs
(+.f64 x (/.f64 y z))
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))
(/.f64 (neg.f64 x) z)
(+.f64 x (/.f64 y z))

Calls

3 calls:

16.0ms	z
11.0ms	x
4.0ms	y

Results

Error	Segments	Branch
11.5b	3	`x`
12.5b	1	`y`
8.0b	5	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch92.0ms (3.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	5.1584334712268715e-53	3.5989418269037716e-50
26.0ms	1.8222993814461674e-214	5.556795291787195e-198
34.0ms	-2.1680298596940934e-233	-1.5141902664035593e-245
18.0ms	-1.893717552554815e-54	-1.658869282564681e-61

Results

53.0ms	592×	body	256	valid
32.0ms	368×	body	256	infinite

Compiler

Compiled 645 to 455 computations (29.5% saved)

regimes49.0ms (1.9%)

Accuracy

Total -39.2b remaining (-171.9%)

Threshold costs -39.2b (-171.9%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	x
10.0ms	z
8.0ms	y

Results

Error	Segments	Branch
31.2b	5	`x`
32.6b	3	`y`
22.8b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch49.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	8.807656555378855e-10	0.0068320264046750545
13.0ms	-12709.922801840348	-0.8961967584120896

Results

46.0ms	272×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 237 to 181 computations (23.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	121
1	47	121
2	53	121
3	56	121
4	57	121

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 y -1699835280697513/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 x (/.f64 y z)) (if (<=.f64 y 5077488442381443/2417851639229258349412352) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(if (<=.f64 z -2155553419029629/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 x (/.f64 y z)) (if (<=.f64 z -6964981432973111/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (/.f64 (neg.f64 x) z) (if (<=.f64 z 4174443851468789/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256) (+.f64 x (/.f64 y z)) (if (<=.f64 z 2738119583382487/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))))
(if (<=.f64 z -1) x (if (<=.f64 z 7839866231326559/1152921504606846976) (/.f64 (neg.f64 x) z) x))
x

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 y -1699835280697513/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 x (/.f64 y z)) (if (<=.f64 y 5077488442381443/2417851639229258349412352) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(if (<=.f64 z -2155553419029629/1766847064778384329583297500742918515827483896875618958121606201292619776) (+.f64 x (/.f64 y z)) (if (<=.f64 z -6964981432973111/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (/.f64 (neg.f64 x) z) (if (<=.f64 z 4174443851468789/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256) (+.f64 x (/.f64 y z)) (if (<=.f64 z 2738119583382487/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))))
(if (<=.f64 z -1) x (if (<=.f64 z 7839866231326559/1152921504606846976) (/.f64 (neg.f64 x) z) x))
x

Compiler

Compiled 99 to 52 computations (47.5% saved)

soundness0.0ms (0%)

end36.0ms (1.4%)

Compiler: Compiled 87 to 36 computations (58.6% saved)

Details

analyze158.0ms (6%)

sample1.2s (44.7%)

preprocess334.0ms (12.7%)

simplify35.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series10.0ms (0.4%)

rewrite64.0ms (2.4%)

simplify68.0ms (2.6%)

eval57.0ms (2.1%)

prune32.0ms (1.2%)

localize8.0ms (0.3%)

series3.0ms (0.1%)

rewrite51.0ms (1.9%)

simplify39.0ms (1.5%)

localize11.0ms (0.4%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite44.0ms (1.7%)

simplify67.0ms (2.5%)

eval15.0ms (0.6%)

prune43.0ms (1.7%)

localize5.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes28.0ms (1%)

regimes77.0ms (2.9%)

bsearch22.0ms (0.8%)

regimes32.0ms (1.2%)

bsearch92.0ms (3.5%)

regimes49.0ms (1.9%)

bsearch49.0ms (1.9%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end36.0ms (1.4%)

Profiling