Details

analyze387.0ms (6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
29.6%	70.2%	0.1%	9
42.1%	57.7%	0.1%	10
47.6%	52.1%	0.3%	11
53.8%	44.6%	1.6%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.8s (28%)

Results

1.4s	8256×	body	256	valid
405.0ms	2023×	body	256	invalid

preprocess220.0ms (3.4%)

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)

simplify40.0ms (0.6%)

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 (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series198.0ms (3.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
188.0ms	y	@	-inf	(/.f64 (-.f64 y x) z)
1.0ms	y	@	inf	(/.f64 (-.f64 y x) z)
1.0ms	x	@	0	(+.f64 x (/.f64 (-.f64 y x) z))
1.0ms	x	@	inf	(+.f64 x (/.f64 (-.f64 y x) z))
1.0ms	y	@	inf	(+.f64 x (/.f64 (-.f64 y x) z))

rewrite345.0ms (5.3%)

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

Outputs
((#(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)) 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Outputs

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

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

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Rules

325×	`fma-def_binary64`
311×	`fma-neg_binary64`
73×	`distribute-rgt-in_binary64`
71×	`cancel-sign-sub-inv_binary64`
45×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	585
1	61	585
2	106	468
3	198	468
4	367	468
5	664	468
6	1028	468
7	1234	468
8	1331	468
9	1412	468
10	1502	468

Stop Event

1×

saturated

Counts

204 → 160

Calls

Call 1

Inputs
(/.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 -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))

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

eval59.0ms (0.9%)

Compiler: Compiled 2163 to 673 computations (68.9% saved)

prune97.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	154	6	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	154	7	161

Error

Counts

161 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	36.1b	x
▶	38.3b	(/.f64 y z)
▶	32.5b	(/.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))))
▶	24.5b	(-.f64 x (/.f64 x z))
▶	24.5b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
▶	27.6b	(/.f64 (-.f64 y x) z)
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 126 to 79 computations (37.3% saved)

localize10.0ms (0.1%)

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)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite186.0ms (2.9%)

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))))))

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))))))

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

148×	`fma-def_binary64`
74×	`fma-neg_binary64`
28×	`distribute-rgt-in_binary64`
25×	`distribute-lft-in_binary64`
23×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	218
1	32	218
2	67	155
3	132	155
4	223	155
5	385	155
6	621	155
7	649	155

Stop Event

1×

saturated

Counts

60 → 43

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)

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

localize7.0ms (0.1%)

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize17.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite178.0ms (2.8%)

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))))))))

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

199×	`fma-def_binary64`
132×	`fma-neg_binary64`
45×	`cancel-sign-sub-inv_binary64`
26×	`distribute-rgt-in_binary64`
24×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	80
1	13	71
2	22	71
3	32	71
4	47	71
5	89	71
6	148	71
7	250	71
8	495	71
9	797	71
10	821	71
11	851	71
12	861	71

Stop Event

1×

saturated

Counts

31 → 24

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)

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))

localize49.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))))
✓	0.3b	(pow.f64 (/.f64 (-.f64 y x) z) 2)
✓	6.7b	(-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))
✓	30.7b	(/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))

Compiler

Compiled 84 to 24 computations (71.4% saved)

series95.0ms (1.5%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(/.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))))
16.0ms	y	@	inf	(/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))
6.0ms	x	@	0	(/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))
5.0ms	y	@	inf	(/.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))))
4.0ms	x	@	-inf	(/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))

rewrite120.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`fma-def_binary64`
316×	`fma-neg_binary64`
292×	`log-div_binary64`
289×	`expm1-udef_binary64`
289×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	332	49
2	5166	49

Stop Event

1×	node limit

Counts

4 → 263

Calls

Call 1

Inputs
(/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))
(-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))
(pow.f64 (/.f64 (-.f64 y x) z) 2)
(/.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (neg.f64 (/.f64 (-.f64 y x) (.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (/.f64 (-.f64 y x) (.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 (-.f64 y x) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 x (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) 1) (/.f64 (/.f64 (-.f64 y x) (.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (/.f64 (-.f64 y x) z)) (/.f64 1 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x (/.f64 (-.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2))) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) 2) (.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 1 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (/.f64 1 (sqrt.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))) (.f64 (sqrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 1 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 1 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.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 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) 2)) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))))) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) 2) 1) (/.f64 (cbrt.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 (sqrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) 1) (/.f64 (sqrt.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 (cbrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) 2) (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) 2) (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))))) (/.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))) (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (/.f64 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simplify204.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-def_binary64`
399×	`associate-/r*_binary64`
399×	`times-frac_binary64`
349×	`associate-/l*_binary64`
330×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	510	8983
1	1888	8579

Stop Event

1×	node limit

Counts

407 → 418

Calls

Call 1

Inputs
(/.f64 z y)
(+.f64 (/.f64 z y) (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (/.f64 1 z)) (pow.f64 z 2)) (pow.f64 y 2))) (.f64 -2 (/.f64 z (pow.f64 y 2)))) x))
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(.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) (.f64 z (-.f64 x y))))
(+.f64 (/.f64 (.f64 (pow.f64 (-.f64 y x) 2) x) (pow.f64 (-.f64 x y) 2)) (.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) (*.f64 z (-.f64 x y)))))
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x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) (.f64 (pow.f64 z 2) x))) (+.f64 (/.f64 y z) x)) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 x y)) (.f64 (pow.f64 z 2) x)) (/.f64 x z)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) (.f64 (pow.f64 z 2) x))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) x)) (/.f64 (.f64 (-.f64 y x) (-.f64 x y)) x)) (-.f64 x y)) (.f64 (pow.f64 z 3) x))) (+.f64 (/.f64 y z) x))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 z 2) x)) (/.f64 x z)))
x
(+.f64 (*.f64 -1 (/.f64 (-.f64 x y) z)) x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) (.f64 (pow.f64 z 2) x))) (+.f64 (.f64 -1 (/.f64 (-.f64 x y) z)) x)) (/.f64 (.f64 (-.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 z 2) x)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) x)) (/.f64 (.f64 (-.f64 y x) (-.f64 x y)) x)) (-.f64 y x)) (.f64 (pow.f64 z 3) x)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) (.f64 (pow.f64 z 2) x))) (+.f64 (.f64 -1 (/.f64 (-.f64 x y) z)) x))) (/.f64 (.f64 (-.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 z 2) x)))

Outputs
(/.f64 z y)
(+.f64 (/.f64 z y) (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (/.f64 1 z)) (pow.f64 z 2)) (pow.f64 y 2))) (.f64 -2 (/.f64 z (pow.f64 y 2)))) x))
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(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) x)) (/.f64 (.f64 (-.f64 y x) (-.f64 x y)) x)) (-.f64 y x)) (.f64 (pow.f64 z 3) x)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) (.f64 (pow.f64 z 2) x))) (+.f64 (.f64 -1 (/.f64 (-.f64 x y) z)) x))) (/.f64 (.f64 (-.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 y x) 2) x)) (/.f64 (-.f64 y x) (/.f64 x (-.f64 x y)))) (/.f64 (.f64 x (pow.f64 z 3)) (-.f64 y x))) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 y x) 2) (.f64 (.f64 z z) x)) (fma.f64 -1 (/.f64 (-.f64 x y) z) x)) (.f64 (/.f64 (-.f64 y x) (*.f64 z z)) (/.f64 (-.f64 x y) x))))
(-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 y x) 2)) x) (.f64 (/.f64 (-.f64 y x) x) (-.f64 x y))) (pow.f64 z 3)) (/.f64 (-.f64 y x) x) (-.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (-.f64 y x) 2) (.f64 z (.f64 z x))))) (.f64 (/.f64 (-.f64 y x) x) (/.f64 (-.f64 x y) (*.f64 z z))))

eval582.0ms (9%)

Compiler: Compiled 19311 to 8868 computations (54.1% saved)

prune93.0ms (1.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	549	2	551
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	550	8	558

Error

Counts

558 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	36.1b	x
✓	38.3b	(/.f64 y z)
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
▶	27.5b	(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
▶	51.6b	(/.f64 (neg.f64 x) z)
✓	24.5b	(-.f64 x (/.f64 x z))
✓	24.5b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
✓	27.6b	(/.f64 (-.f64 y x) z)

Compiler

Compiled 71 to 50 computations (29.6% saved)

localize59.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
✓	0.5b	(/.f64 -1 (*.f64 z z))
✓	7.6b	(/.f64 (+.f64 1 (/.f64 -1 (*.f64 z z))) (+.f64 1 (/.f64 1 z)))

Compiler

Compiled 58 to 37 computations (36.2% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite99.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary64`
327×	`pow2_binary64`
322×	`prod-diff_binary64`
320×	`fma-def_binary64`
231×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	265	23
2	3741	23

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 z -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 z -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 z -2))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 z -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (pow.f64 z -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 z -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 z -2))) (cbrt.f64 (/.f64 1 (pow.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 z 4))) (cbrt.f64 (neg.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) z) (/.f64 (sqrt.f64 -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 z -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 z -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (neg.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 z -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z z) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 z z) -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 z -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 z -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 z -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 z -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (pow.f64 z -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 z -2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 z -2))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 z -2)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 z -2)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 z -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 z -2))) (sqrt.f64 (-.f64 1 (pow.f64 z -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 (pow.f64 (pow.f64 z -2) 3) 1) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 z -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1 (pow.f64 z 4))) (/.f64 1 (+.f64 1 (pow.f64 z -2))) -1)))))

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

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

625×	`fma-neg_binary64`
558×	`div-sub_binary64`
404×	`neg-mul-1_binary64`
346×	`neg-sub0_binary64`
332×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	497
1	39	488
2	74	476
3	157	452
4	514	452
5	2498	452
6	4128	452
7	7117	452

Stop Event

1×	node limit

Counts

161 → 124

Calls

Call 1

Inputs
(/.f64 -1 z)
(-.f64 1 (/.f64 1 z))
(-.f64 1 (/.f64 1 z))
(-.f64 1 (/.f64 1 z))
1
(-.f64 1 (/.f64 1 z))
(-.f64 1 (/.f64 1 z))
(-.f64 1 (/.f64 1 z))
1
(-.f64 1 (/.f64 1 z))
(-.f64 1 (/.f64 1 z))
(-.f64 1 (/.f64 1 z))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (pow.f64 z 2))
(*.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 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))

Outputs
(/.f64 -1 z)
(-.f64 1 (/.f64 1 z))
(+.f64 1 (/.f64 -1 z))
(-.f64 1 (/.f64 1 z))
(+.f64 1 (/.f64 -1 z))
(-.f64 1 (/.f64 1 z))
(+.f64 1 (/.f64 -1 z))
1
(-.f64 1 (/.f64 1 z))
(+.f64 1 (/.f64 -1 z))
(-.f64 1 (/.f64 1 z))
(+.f64 1 (/.f64 -1 z))
(-.f64 1 (/.f64 1 z))
(+.f64 1 (/.f64 -1 z))
1
(-.f64 1 (/.f64 1 z))
(+.f64 1 (/.f64 -1 z))
(-.f64 1 (/.f64 1 z))
(+.f64 1 (/.f64 -1 z))
(-.f64 1 (/.f64 1 z))
(+.f64 1 (/.f64 -1 z))
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(/.f64 -1 (pow.f64 z 2))
(/.f64 -1 (*.f64 z z))
(/.f64 (/.f64 -1 z) z)
(*.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 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (/.f64 1 (pow.f64 z 2))) x) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 (+.f64 1 (/.f64 1 z)) x))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 x z)) z)) (+.f64 1 (/.f64 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 1 (/.f64 1 z)))

localize5.0ms (0.1%)

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

eval197.0ms (3%)

Compiler: Compiled 1869 to 1499 computations (19.8% saved)

prune42.0ms (0.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	1	1
Picked	0	1	1
Done	1	5	6
Total	124	8	132

Error

Counts

132 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	36.1b	x
✓	38.3b	(/.f64 y z)
✓	51.6b	(/.f64 (neg.f64 x) z)
✓	24.5b	(-.f64 x (/.f64 x z))
✓	24.5b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
▶	24.5b	(/.f64 x (/.f64 1 (+.f64 1 (/.f64 -1 z))))
✓	27.6b	(/.f64 (-.f64 y x) z)
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 65 to 46 computations (29.2% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (/.f64 1 (+.f64 1 (/.f64 -1 z))))
✓	0.1b	(/.f64 1 (+.f64 1 (/.f64 -1 z)))

Compiler

Compiled 31 to 24 computations (22.6% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite244.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

991×	`pow1_binary64`
920×	`add-log-exp_binary64`
919×	`log1p-expm1-u_binary64`
919×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	195	20
2	2583	20

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

437×	`fma-def_binary64`
434×	`fma-neg_binary64`
364×	`sub-neg_binary64`
283×	`associate-/l*_binary64`
273×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	370
1	94	362
2	252	295
3	828	289
4	3512	287
5	6541	287

Stop Event

1×	node limit

Counts

98 → 82

Calls

Call 1

Inputs
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (.f64 -1 (pow.f64 z 2)))
(+.f64 (.f64 -1 (pow.f64 z 3)) (+.f64 (.f64 -1 z) (*.f64 -1 (pow.f64 z 2))))
(+.f64 (.f64 -1 (pow.f64 z 3)) (+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 -1 (pow.f64 z 4)))))
1
(+.f64 1 (/.f64 1 z))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z))))
1
(+.f64 1 (/.f64 1 z))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z))))
(*.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 (-.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 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)

Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 -1 z) (.f64 -1 (pow.f64 z 2)))
(.f64 -1 (+.f64 z (.f64 z z)))
(-.f64 (neg.f64 z) (*.f64 z z))
(*.f64 z (-.f64 -1 z))
(neg.f64 (fma.f64 z z z))
(+.f64 (.f64 -1 (pow.f64 z 3)) (+.f64 (.f64 -1 z) (*.f64 -1 (pow.f64 z 2))))
(fma.f64 -1 (pow.f64 z 3) (.f64 -1 (+.f64 z (.f64 z z))))
(-.f64 (-.f64 (neg.f64 z) (*.f64 z z)) (pow.f64 z 3))
(-.f64 (*.f64 z (-.f64 -1 z)) (pow.f64 z 3))
(-.f64 (neg.f64 z) (*.f64 z (fma.f64 z z z)))
(*.f64 z (-.f64 -1 (fma.f64 z z z)))
(+.f64 (.f64 -1 (pow.f64 z 3)) (+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 -1 (pow.f64 z 4)))))
(fma.f64 -1 (pow.f64 z 3) (fma.f64 -1 z (.f64 -1 (+.f64 (.f64 z z) (pow.f64 z 4)))))
(-.f64 (-.f64 (neg.f64 (fma.f64 z z (pow.f64 z 4))) z) (pow.f64 z 3))
(-.f64 (-.f64 (*.f64 z (-.f64 -1 z)) (pow.f64 z 3)) (pow.f64 z 4))
(*.f64 (+.f64 z (pow.f64 z 3)) (-.f64 -1 z))
1
(+.f64 1 (/.f64 1 z))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z)))
(+.f64 1 (+.f64 (/.f64 1 z) (/.f64 1 (*.f64 z z))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z))))
(+.f64 (+.f64 1 (/.f64 1 (pow.f64 z 3))) (+.f64 (/.f64 1 z) (/.f64 1 (*.f64 z z))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 z) (/.f64 1 (*.f64 z z))) (/.f64 1 (pow.f64 z 3))))
(+.f64 (/.f64 1 (*.f64 z z)) (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 1 (/.f64 1 z))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 z z)) (+.f64 (/.f64 1 z) (/.f64 1 (pow.f64 z 3)))))
(+.f64 (+.f64 1 (/.f64 1 z)) (+.f64 (/.f64 1 (*.f64 z z)) (/.f64 1 (pow.f64 z 3))))
1
(+.f64 1 (/.f64 1 z))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z)))
(+.f64 1 (+.f64 (/.f64 1 z) (/.f64 1 (*.f64 z z))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z))))
(+.f64 (+.f64 1 (/.f64 1 (pow.f64 z 3))) (+.f64 (/.f64 1 z) (/.f64 1 (*.f64 z z))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 z) (/.f64 1 (*.f64 z z))) (/.f64 1 (pow.f64 z 3))))
(+.f64 (/.f64 1 (*.f64 z z)) (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 1 (/.f64 1 z))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 z z)) (+.f64 (/.f64 1 z) (/.f64 1 (pow.f64 z 3)))))
(+.f64 (+.f64 1 (/.f64 1 z)) (+.f64 (/.f64 1 (*.f64 z z)) (/.f64 1 (pow.f64 z 3))))
(*.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 (-.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 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 x z)) x)
(*.f64 (-.f64 1 (/.f64 1 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 (+.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 (+.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 (+.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 (+.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 (+.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 (+.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 (+.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 (+.f64 1 (/.f64 -1 z)) x)
(-.f64 x (/.f64 x z))

eval24.0ms (0.4%)

Compiler: Compiled 992 to 734 computations (26% saved)

prune18.0ms (0.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	0	1
Picked	0	1	1
Done	0	6	6
Total	82	8	90

Error

Counts

90 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.6b	(/.f64 (neg.f64 x) z)
	36.1b	x
✓	24.5b	(-.f64 x (/.f64 x z))
✓	24.5b	(*.f64 (-.f64 1 (/.f64 1 z)) x)
✓	38.3b	(/.f64 y z)
✓	24.5b	(/.f64 x (/.f64 1 (+.f64 1 (/.f64 -1 z))))
✓	27.6b	(/.f64 (-.f64 y x) z)
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 65 to 46 computations (29.2% saved)

regimes90.0ms (1.4%)

Counts

11 → 1

Calls

Call 1

Inputs
x
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(-.f64 x (/.f64 x z))
(/.f64 (-.f64 y x) z)
(*.f64 (-.f64 1 (/.f64 1 z)) x)
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 x (/.f64 1 (+.f64 1 (/.f64 -1 z))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 (.f64 z z))) (+.f64 1 (/.f64 1 z))) x)
(/.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))))

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

Calls

4 calls:

52.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
16.0ms	z
8.0ms	y
7.0ms	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 103 to 57 computations (44.7% saved)

regimes76.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	y
21.0ms	x
20.0ms	z

Results

Error	Segments	Branch
12.8b	3	`x`
14.3b	5	`y`
11.4b	3	`z`

Compiler

Compiled 41 to 24 computations (41.5% saved)

bsearch68.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	2.7080002375874925e-11	5.055922595568306
21.0ms	-3.9844973229491718e+118	-6.439139699996043e+116

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes102.0ms (1.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	x
30.0ms	z
27.0ms	y

Results

Error	Segments	Branch
14.7b	3	`x`
16.6b	5	`y`
18.4b	7	`z`

Compiler

Compiled 29 to 17 computations (41.4% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	3.4820139391152103e-112	2.4389783116051008e-104
17.0ms	-1.4255072149612237e-90	-1.7624139447079155e-94

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes82.0ms (1.3%)

Counts

4 → 7

Calls

Call 1

Inputs
x
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)
x

Calls

3 calls:

37.0ms	y
26.0ms	z
18.0ms	x

Results

Error	Segments	Branch
22.8b	5	`x`
24.5b	7	`y`
20.0b	7	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch158.0ms (2.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	2.7080002375874925e-11	5.055922595568306
41.0ms	4.276672764245574e-100	2.5054740587093626e-94
22.0ms	4.933163545224115e-178	2.1818967113370686e-171
40.0ms	-7.341826346842423e-116	-3.925472045101336e-129
18.0ms	-0.007272488853373071	-2.6381165962769256e-8
18.0ms	-5.1211835079114666e+104	-2.2890609726117578e+95

Compiler

Compiled 436 to 319 computations (26.8% saved)

regimes44.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y z)

Outputs
x
(/.f64 y z)
x

Calls

3 calls:

20.0ms	y
13.0ms	z
11.0ms	x

Results

Error	Segments	Branch
24.1b	3	`x`
26.0b	5	`y`
22.9b	3	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.7080002375874925e-11	5.055922595568306
17.0ms	-5.1211835079114666e+104	-2.2890609726117578e+95

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes13.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

3 calls:

5.0ms	y
3.0ms	z
3.0ms	x

Results

Error	Segments	Branch
36.1b	1	`x`
36.1b	1	`y`
36.1b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-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	42	148
1	51	148
2	57	148
3	60	148
4	61	148

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z -39844973229491717682699138206307628128491903826453560785087803433107195486445198963246289766630004161278085893608964096) x (if (<=.f64 z 2145498829122482944/79228162514264337593543950336) (/.f64 (-.f64 y x) z) (-.f64 x (/.f64 x z))))
(if (<=.f64 x -13077595298389712/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 x (/.f64 x z)) (if (<=.f64 x 7542558221477331/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (/.f64 y z) (-.f64 x (/.f64 x z))))
(if (<=.f64 z -512118350791146659018002727445216459302525466559219358657667709326162097839246022285119060070305189855232) x (if (<=.f64 z -134153740657078464/18446744073709551616) (/.f64 y z) (if (<=.f64 z -12486994201263968/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (neg.f64 x) z) (if (<=.f64 z 4562440617622195/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552) (/.f64 y z) (if (<=.f64 z 16942862664449626/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (neg.f64 x) z) (if (<=.f64 z 2145498829122482944/79228162514264337593543950336) (/.f64 y z) x))))))
(if (<=.f64 z -512118350791146659018002727445216459302525466559219358657667709326162097839246022285119060070305189855232) x (if (<=.f64 z 2145498829122482944/79228162514264337593543950336) (/.f64 y z) x))
x

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z -39844973229491717682699138206307628128491903826453560785087803433107195486445198963246289766630004161278085893608964096) x (if (<=.f64 z 2145498829122482944/79228162514264337593543950336) (/.f64 (-.f64 y x) z) (-.f64 x (/.f64 x z))))
(if (<=.f64 z -39844973229491717682699138206307628128491903826453560785087803433107195486445198963246289766630004161278085893608964096) x (if (<=.f64 z 8380854801259699/309485009821345068724781056) (/.f64 (-.f64 y x) z) (-.f64 x (/.f64 x z))))
(if (<=.f64 x -13077595298389712/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 x (/.f64 x z)) (if (<=.f64 x 7542558221477331/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (/.f64 y z) (-.f64 x (/.f64 x z))))
(if (<=.f64 x -817349706149357/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (-.f64 x (/.f64 x z)) (if (<=.f64 x 7542558221477331/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) (/.f64 y z) (-.f64 x (/.f64 x z))))
(if (<=.f64 z -512118350791146659018002727445216459302525466559219358657667709326162097839246022285119060070305189855232) x (if (<=.f64 z -134153740657078464/18446744073709551616) (/.f64 y z) (if (<=.f64 z -12486994201263968/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (neg.f64 x) z) (if (<=.f64 z 4562440617622195/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552) (/.f64 y z) (if (<=.f64 z 16942862664449626/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (neg.f64 x) z) (if (<=.f64 z 2145498829122482944/79228162514264337593543950336) (/.f64 y z) x))))))
(if (<=.f64 z -512118350791146659018002727445216459302525466559219358657667709326162097839246022285119060070305189855232) x (if (<=.f64 z -2096152197766851/288230376151711744) (/.f64 y z) (if (<=.f64 z -390218568789499/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568) (/.f64 (neg.f64 x) z) (if (<=.f64 z 4562440617622195/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552) (/.f64 y z) (if (<=.f64 z 8471431332224813/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (/.f64 (neg.f64 x) z) (if (<=.f64 z 8380854801259699/309485009821345068724781056) (/.f64 y z) x))))))
(if (<=.f64 z -512118350791146659018002727445216459302525466559219358657667709326162097839246022285119060070305189855232) x (if (<=.f64 z 2145498829122482944/79228162514264337593543950336) (/.f64 y z) x))
(if (<=.f64 z -512118350791146659018002727445216459302525466559219358657667709326162097839246022285119060070305189855232) x (if (<=.f64 z 8380854801259699/309485009821345068724781056) (/.f64 y z) x))
x

Compiler

Compiled 122 to 68 computations (44.3% saved)

soundness0.0ms (0%)

end50.0ms (0.8%)

Compiler: Compiled 107 to 47 computations (56.1% saved)

Iter	Nodes	Cost
0	7	80
1	13	71
2	22	71
3	32	71
4	47	71
5	89	71
6	148	71
7	250	71
8	495	71
9	797	71
10	821	71
11	851	71
12	861	71

Iter	Nodes	Cost
0	7	80
1	13	71
2	22	71
3	32	71
4	47	71
5	89	71
6	148	71
7	250	71
8	495	71
9	797	71
10	821	71
11	851	71
12	861	71

Details

analyze387.0ms (6%)

sample1.8s (28%)

preprocess220.0ms (3.4%)

simplify40.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series198.0ms (3.1%)

rewrite345.0ms (5.3%)

simplify62.0ms (1%)

eval59.0ms (0.9%)

prune97.0ms (1.5%)

localize10.0ms (0.1%)

series4.0ms (0.1%)

rewrite186.0ms (2.9%)

simplify29.0ms (0.4%)

localize7.0ms (0.1%)

localize10.0ms (0.2%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

rewrite178.0ms (2.8%)

simplify37.0ms (0.6%)

localize49.0ms (0.8%)

series95.0ms (1.5%)

rewrite120.0ms (1.8%)

simplify204.0ms (3.1%)

eval582.0ms (9%)

prune93.0ms (1.4%)

localize59.0ms (0.9%)

series7.0ms (0.1%)

rewrite99.0ms (1.5%)

simplify77.0ms (1.2%)

localize5.0ms (0.1%)

eval197.0ms (3%)

prune42.0ms (0.6%)

localize12.0ms (0.2%)

series3.0ms (0%)

rewrite244.0ms (3.8%)

simplify71.0ms (1.1%)

eval24.0ms (0.4%)

prune18.0ms (0.3%)

regimes90.0ms (1.4%)

regimes76.0ms (1.2%)

bsearch68.0ms (1%)

regimes102.0ms (1.6%)

bsearch35.0ms (0.5%)

regimes82.0ms (1.3%)

bsearch158.0ms (2.4%)

regimes44.0ms (0.7%)

bsearch35.0ms (0.5%)

regimes13.0ms (0.2%)

simplify8.0ms (0.1%)

soundness0.0ms (0%)

end50.0ms (0.8%)

Profiling

Iter	Nodes	Cost
0	7	80
1	13	71
2	22	71
3	32	71
4	47	71
5	89	71
6	148	71
7	250	71
8	495	71
9	797	71
10	821	71
11	851	71
12	861	71