Details

analyze182.0ms (4.3%)

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)

sample1.3s (31.9%)

Results

1.0s	8256×	body	256	valid
314.0ms	2137×	body	256	infinite

Bogosity

preprocess252.0ms (6%)

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)

simplify53.0ms (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)

series9.0ms (0.2%)

Counts

2 → 60

Calls

18 calls:

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

rewrite88.0ms (2.1%)

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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (-.f64 y x) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.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 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 (-.f64 y x) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 y (sqrt.f64 z)) (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)))))))

simplify70.0ms (1.7%)

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)))

eval60.0ms (1.4%)

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

prune48.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	195	5	200
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	195	6	201

Error

Counts

201 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.2b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
▶	15.6b	(+.f64 x (/.f64 y z))
▶	0.1b	(+.f64 x (*.f64 (/.f64 1 z) (-.f64 y x)))
▶	20.2b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	35.3b	x

Compiler

Compiled 52 to 35 computations (32.7% saved)

localize16.0ms (0.4%)

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)

series4.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite54.0ms (1.3%)

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))))))))

simplify46.0ms (1.1%)

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))))

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (/.f64 1 z) (-.f64 y x)))
✓	0.3b	(*.f64 (/.f64 1 z) (-.f64 y x))

Compiler

Compiled 29 to 14 computations (51.7% saved)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`log-prod_binary64`
375×	`fma-def_binary64`
365×	`exp-prod_binary64`
357×	`pow-prod-down_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	198	17
2	2864	17

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-def_binary64`
472×	`unswap-sqr_binary64`
245×	`cancel-sign-sub-inv_binary64`
220×	`div-sub_binary64`
218×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	318	2616
1	810	2260
2	2721	2260

Stop Event

1×	node limit

Counts

197 → 153

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite75.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`pow1_binary64`
752×	`add-log-exp_binary64`
752×	`log1p-expm1-u_binary64`
752×	`expm1-log1p-u_binary64`
735×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1991	7

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

581×	`fma-neg_binary64`
517×	`cancel-sign-sub-inv_binary64`
417×	`associate-l_binary64`
398×	`div-sub_binary64`
368×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	504
1	221	489
2	709	489
3	4401	489

Stop Event

1×	node limit

Counts

58 → 39

Calls

Call 1

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

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

localize9.0ms (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)

series7.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(-.f64 x (/.f64 x z))
2.0ms	x	@	inf	(-.f64 x (/.f64 x z))
1.0ms	x	@	0	(-.f64 x (/.f64 x z))
1.0ms	z	@	inf	(-.f64 x (/.f64 x z))
0.0ms	x	@	-inf	(-.f64 x (/.f64 x z))

rewrite60.0ms (1.4%)

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))))))

simplify49.0ms (1.2%)

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))

eval237.0ms (5.7%)

Compiler: Compiled 3520 to 1292 computations (63.3% saved)

prune228.0ms (5.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	271	2	273
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	271	8	279

Error

Counts

279 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.8b	(/.f64 (neg.f64 x) z)
▶	42.4b	(/.f64 y z)
✓	20.2b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	15.6b	(+.f64 x (/.f64 y z))
✓	0.1b	(+.f64 x (*.f64 (/.f64 1 z) (-.f64 y x)))
✓	20.2b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	35.3b	x

Compiler

Compiled 65 to 44 computations (32.3% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

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

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.8b	(/.f64 (neg.f64 x) z)
✓	42.4b	(/.f64 y z)
✓	20.2b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	15.6b	(+.f64 x (/.f64 y z))
✓	0.1b	(+.f64 x (*.f64 (/.f64 1 z) (-.f64 y x)))
✓	20.2b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	35.3b	x

Compiler

Compiled 65 to 44 computations (32.3% saved)

eval8.0ms (0.2%)

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

prune4.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.8b	(/.f64 (neg.f64 x) z)
✓	42.4b	(/.f64 y z)
✓	20.2b	(-.f64 x (/.f64 x z))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	15.6b	(+.f64 x (/.f64 y z))
✓	0.1b	(+.f64 x (*.f64 (/.f64 1 z) (-.f64 y x)))
✓	20.2b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
	35.3b	x

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes30.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	z
6.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms	y
5.0ms	x

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 66 to 36 computations (45.5% saved)

regimes134.0ms (3.2%)

Counts

6 → 5

Calls

Call 1

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

Calls

3 calls:

54.0ms	y
35.0ms	z
25.0ms	x

Results

Error	Segments	Branch
6.3b	5	`x`
8.1b	3	`y`
7.6b	7	`z`

Compiler

Compiled 40 to 23 computations (42.5% saved)

bsearch98.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
60.0ms	9.647036785808197e+78	1.715416409633202e+84
14.0ms	5.25260223962139e+20	6.141145929283698e+24
13.0ms	1.8168060514506606e-109	4.0882612657856373e-109
11.0ms	-1.4816958246820815e-95	-1.1939254544897513e-96

Results

89.0ms	448×	body	256	valid
2.0ms	13×	body	256	infinite

Compiler

Compiled 520 to 347 computations (33.3% saved)

regimes81.0ms (1.9%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	z
26.0ms	y
8.0ms	x

Results

Error	Segments	Branch
15.6b	1	`x`
14.5b	3	`y`
9.0b	5	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch188.0ms (4.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
26.0ms	2.0338917924771492e-19	5.2654887501662695e-15
21.0ms	1.567790427665128e-96	4.687494072208498e-96
94.0ms	-6.654087359110993e-230	-9.997497945943469e-259
46.0ms	-6.917536173306702e-86	-9.57693646749836e-89

Results

118.0ms	512×	body	256	valid
42.0ms	262×	body	256	infinite

Compiler

Compiled 528 to 379 computations (28.2% saved)

regimes102.0ms (2.4%)

Counts

3 → 9

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	z
33.0ms	y
10.0ms	x

Results

Error	Segments	Branch
25.1b	3	`x`
25.0b	9	`y`
16.5b	9	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch143.0ms (3.4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
20.0ms	68022748031.07633	3.9610273328294235e+23
14.0ms	2.0338917924771492e-19	5.2654887501662695e-15
10.0ms	1.567790427665128e-96	4.687494072208498e-96
46.0ms	-6.654087359110993e-230	-9.997497945943469e-259
12.0ms	-3.0436880588856197e-68	-2.152522330317417e-69
17.0ms	-4.145745957817199e-60	-5.728814025044904e-63
13.0ms	-0.0731927074382668	-0.003664976569278065
12.0ms	-496378943120.77454	-13794067198.438341

Results

99.0ms	992×	body	256	valid
30.0ms	308×	body	256	infinite

Compiler

Compiled 895 to 659 computations (26.4% saved)

regimes78.0ms (1.9%)

Accuracy

Total -37.9b remaining (-157.2%)

Threshold costs -37.9b (-157.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)

Outputs
x
(/.f64 y z)
x

Calls

3 calls:

45.0ms	x
23.0ms	y
9.0ms	z

Results

Error	Segments	Branch
25.1b	3	`x`
26.2b	7	`y`
24.1b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch31.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	68022748031.07633	3.9610273328294235e+23
12.0ms	-496378943120.77454	-13794067198.438341

Results

27.0ms

272×

body

256

valid

Compiler

Compiled 220 to 164 computations (25.5% saved)

simplify10.0ms (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	68	226
1	78	226
2	84	226
3	87	226
4	88	226

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (-.f64 x (/.f64 x z)) (if (<=.f64 x 4283642677760811/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (+.f64 x (/.f64 y z)) (if (<=.f64 x 3400000000000000050331648) (-.f64 x (/.f64 x z)) (if (<=.f64 x 9800000000000000371200787581370146543378532208604192407749767692363885763887104) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z))))))
(if (<=.f64 z -3499601159652819/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (+.f64 x (/.f64 y z)) (if (<=.f64 z -825826851168517/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (/.f64 (neg.f64 x) z) (if (<=.f64 z 4232637384378313/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 y z) (if (<=.f64 z 1298074214633707/40564819207303340847894502572032) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))))
(if (<=.f64 z -40000000000) x (if (<=.f64 z -6456360425798343/1152921504606846976) (/.f64 y z) (if (<=.f64 z -7526485800425553/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 (neg.f64 x) z) (if (<=.f64 z -1760543683579567/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (/.f64 y z) (if (<=.f64 z -7255021332124309/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544) (/.f64 (neg.f64 x) z) (if (<=.f64 z 2284662224522385/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 y z) (if (<=.f64 z 1298074214633707/2596148429267413814265248164610048) (/.f64 (neg.f64 x) z) (if (<=.f64 z 420000000000) (/.f64 y z) x))))))))
(if (<=.f64 z -14200000000) x (if (<=.f64 z 140000000000) (/.f64 y z) x))
x

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (-.f64 x (/.f64 x z)) (if (<=.f64 x 4283642677760811/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (+.f64 x (/.f64 y z)) (if (<=.f64 x 3400000000000000050331648) (-.f64 x (/.f64 x z)) (if (<=.f64 x 9800000000000000371200787581370146543378532208604192407749767692363885763887104) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z))))))
(if (<=.f64 z -3499601159652819/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (+.f64 x (/.f64 y z)) (if (<=.f64 z -825826851168517/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (/.f64 (neg.f64 x) z) (if (<=.f64 z 4232637384378313/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 y z) (if (<=.f64 z 1298074214633707/40564819207303340847894502572032) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))))
(if (<=.f64 z -40000000000) x (if (<=.f64 z -6456360425798343/1152921504606846976) (/.f64 y z) (if (<=.f64 z -7526485800425553/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 (neg.f64 x) z) (if (<=.f64 z -1760543683579567/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (/.f64 y z) (if (<=.f64 z -7255021332124309/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544) (/.f64 (neg.f64 x) z) (if (<=.f64 z 2284662224522385/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 y z) (if (<=.f64 z 1298074214633707/2596148429267413814265248164610048) (/.f64 (neg.f64 x) z) (if (<=.f64 z 420000000000) (/.f64 y z) x))))))))
(if (<=.f64 z -14200000000) x (if (<=.f64 z 140000000000) (/.f64 y z) x))
x

Compiler

Compiled 175 to 87 computations (50.3% saved)

soundness0.0ms (0%)

end113.0ms (2.7%)

Compiler: Compiled 160 to 66 computations (58.8% saved)

Details

analyze182.0ms (4.3%)

sample1.3s (31.9%)

preprocess252.0ms (6%)

simplify53.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series9.0ms (0.2%)

rewrite88.0ms (2.1%)

simplify70.0ms (1.7%)

eval60.0ms (1.4%)

prune48.0ms (1.1%)

localize16.0ms (0.4%)

series4.0ms (0.1%)

rewrite54.0ms (1.3%)

simplify46.0ms (1.1%)

localize17.0ms (0.4%)

series5.0ms (0.1%)

rewrite65.0ms (1.6%)

simplify109.0ms (2.6%)

localize11.0ms (0.3%)

series5.0ms (0.1%)

rewrite75.0ms (1.8%)

simplify56.0ms (1.3%)

localize9.0ms (0.2%)

series7.0ms (0.2%)

rewrite60.0ms (1.4%)

simplify49.0ms (1.2%)

eval237.0ms (5.7%)

prune228.0ms (5.4%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval8.0ms (0.2%)

prune4.0ms (0.1%)

regimes30.0ms (0.7%)

regimes134.0ms (3.2%)

bsearch98.0ms (2.3%)

regimes81.0ms (1.9%)

bsearch188.0ms (4.5%)

regimes102.0ms (2.4%)

bsearch143.0ms (3.4%)

regimes78.0ms (1.9%)

bsearch31.0ms (0.7%)

simplify10.0ms (0.2%)

soundness0.0ms (0%)

end113.0ms (2.7%)

Profiling