Details

analyze385.0ms (5.3%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
1.6%	97.5%	0.9%	9
18.7%	79.2%	2.1%	10
21.8%	74.7%	3.5%	11
26.5%	68.8%	4.6%	12

Compiler

Compiled 13 to 8 computations (38.5% saved)

sample1.5s (19.9%)

Results

1.2s	8256×	body	256	valid
219.0ms	1672×	body	256	invalid

preprocess96.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

916×	`fma-def_binary64`
686×	`div-sub_binary64`
541×	`sub-neg_binary64`
398×	`unsub-neg_binary64`
233×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	35	44
2	77	44
3	177	44
4	318	44
5	672	44
6	1329	44
7	2741	44
8	5797	44
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 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z)
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x)
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y)

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify149.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2060×	`fma-neg_binary64`
385×	`div-sub_binary64`
376×	`associate-/l*_binary64`
327×	`distribute-neg-frac_binary64`
317×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	12	11
2	25	11
3	53	11
4	101	11
5	175	11
6	299	11
7	580	11
8	1650	11
9	4884	11
10	6298	11
11	6838	11
12	7234	11
13	7430	11
14	7610	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

12.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.1b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	12.1b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 23 to 13 computations (43.5% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 z x))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	11.4b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 30 to 7 computations (76.7% saved)

series24.0ms (0.3%)

Counts

3 → 96

Calls

27 calls:

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

rewrite91.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`log-prod_binary64`
380×	`fma-def_binary64`
377×	`exp-prod_binary64`
375×	`pow-prod-down_binary64`
266×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	184	26
2	2856	26

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

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

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

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

simplify143.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1914×	`fma-def_binary64`
777×	`div-sub_binary64`
578×	`fma-neg_binary64`
298×	`sub-neg_binary64`
270×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	1029
1	113	855
2	234	774
3	471	774
4	1010	774
5	2406	774
6	3923	774
7	4984	774
8	6953	774
9	7498	774
10	7592	774

Stop Event

1×	node limit

Counts

241 → 174

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 z x) x)
✓	11.4b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 23 to 6 computations (73.9% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`pow1_binary64`
870×	`add-log-exp_binary64`
870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
850×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	156	19
2	2263	19

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

Outputs

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

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

simplify135.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1920×	`fma-def_binary64`
788×	`div-sub_binary64`
572×	`fma-neg_binary64`
299×	`sub-neg_binary64`
269×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	705
1	110	699
2	229	618
3	470	618
4	1009	618
5	2428	618
6	3960	618
7	5016	618
8	7013	618
9	7596	618
10	7696	618

Stop Event

1×	node limit

Counts

124 → 79

Calls

Call 1

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

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

eval47.0ms (0.6%)

Compiler: Compiled 3418 to 1039 computations (69.6% saved)

prune47.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	243	10	253
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	244	11	255

Error

0.0b

Counts

255 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.6b	(*.f64 y (-.f64 1 (/.f64 x z)))
	31.2b	y
▶	34.6b	(/.f64 (*.f64 y (-.f64 z x)) z)
	34.3b	(*.f64 (/.f64 (-.f64 1 y) z) x)
▶	40.8b	(/.f64 x z)
	40.8b	(/.f64 (*.f64 z y) z)
	37.2b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2)
▶	34.8b	(/.f64 (+.f64 x (/.f64 (.f64 (fma.f64 z z (.f64 (neg.f64 x) x)) y) (+.f64 x z))) z)
✓	12.1b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
	34.0b	(/.f64 (-.f64 x (*.f64 y x)) z)
▶	12.2b	(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))

Compiler

Compiled 218 to 136 computations (37.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 y (-.f64 z x) x)
✓	11.6b	(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))

Compiler

Compiled 29 to 11 computations (62.1% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`log-prod_binary64`
432×	`prod-diff_binary64`
352×	`exp-prod_binary64`
324×	`pow-prod-down_binary64`
249×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	192	11
2	2561	11

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

988×	`fma-neg_binary64`
501×	`fma-def_binary64`
355×	`distribute-rgt-neg-out_binary64`
350×	`neg-sub0_binary64`
337×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	441
1	89	435
2	193	354
3	403	354
4	896	354
5	2161	354
6	3606	354
7	5662	354
8	7451	354

Stop Event

1×	node limit

Counts

77 → 56

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series16.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(*.f64 y (-.f64 1 (/.f64 x z)))
1.0ms	x	@	inf	(-.f64 1 (/.f64 x z))
1.0ms	x	@	inf	(*.f64 y (-.f64 1 (/.f64 x z)))
1.0ms	x	@	0	(*.f64 y (-.f64 1 (/.f64 x z)))
1.0ms	y	@	inf	(*.f64 y (-.f64 1 (/.f64 x z)))

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
837×	`add-log-exp_binary64`
837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
820×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	167	17
2	2200	17

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

385×	`fma-def_binary64`
180×	`fma-neg_binary64`
57×	`cancel-sign-sub-inv_binary64`
50×	`associate-r_binary64`
46×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	477
1	33	477
2	68	477
3	127	477
4	250	477
5	426	477
6	816	477
7	1095	477
8	1286	477
9	1405	477
10	1419	477
11	1424	477

Stop Event

1×

saturated

Counts

107 → 58

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 z x))
✓	14.3b	(/.f64 (*.f64 y (-.f64 z x)) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

985×	`pow1_binary64`
918×	`add-log-exp_binary64`
918×	`log1p-expm1-u_binary64`
918×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	10
2	2384	10

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

367×	`fma-def_binary64`
198×	`fma-neg_binary64`
77×	`cancel-sign-sub-inv_binary64`
57×	`distribute-rgt-in_binary64`
55×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	228
1	18	210
2	40	210
3	79	210
4	139	210
5	274	210
6	466	210
7	715	210
8	1108	210
9	1514	210
10	1528	210
11	1542	210
12	1547	210

Stop Event

1×

saturated

Counts

66 → 47

Calls

Call 1

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

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

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.7b	(fma.f64 z z (*.f64 (neg.f64 x) x))
✓	6.5b	(.f64 (fma.f64 z z (.f64 (neg.f64 x) x)) y)
✓	11.4b	(/.f64 (+.f64 x (/.f64 (.f64 (fma.f64 z z (.f64 (neg.f64 x) x)) y) (+.f64 x z))) z)
✓	16.9b	(/.f64 (.f64 (fma.f64 z z (.f64 (neg.f64 x) x)) y) (+.f64 x z))

Compiler

Compiled 76 to 11 computations (85.5% saved)

series41.0ms (0.6%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	z	@	-inf	(/.f64 (.f64 (fma.f64 z z (.f64 (neg.f64 x) x)) y) (+.f64 x z))
3.0ms	y	@	0	(/.f64 (.f64 (fma.f64 z z (.f64 (neg.f64 x) x)) y) (+.f64 x z))
2.0ms	z	@	inf	(/.f64 (+.f64 x (/.f64 (.f64 (fma.f64 z z (.f64 (neg.f64 x) x)) y) (+.f64 x z))) z)
2.0ms	z	@	0	(/.f64 (.f64 (fma.f64 z z (.f64 (neg.f64 x) x)) y) (+.f64 x z))
2.0ms	z	@	0	(fma.f64 z z (*.f64 (neg.f64 x) x))

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log-prod_binary64`
485×	`fma-def_binary64`
315×	`fma-neg_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	275	55
2	4378	35

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 z x) y))) (cbrt.f64 (exp.f64 (.f64 (+.f64 z x) y))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 z x) y)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 z x) 2) (/.f64 1 (/.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 z x) 2) (.f64 y (/.f64 -1 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (pow.f64 (hypot.f64 z x) 2) (/.f64 -1 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 z x) 2) y) (/.f64 -1 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 z x) 2) y)) 2) (.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 z x) 2) y)) (/.f64 -1 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (+.f64 z x) y)) (pow.f64 (cbrt.f64 (.f64 (+.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 z x) y)) 2) (cbrt.f64 (.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 z x) (sqrt.f64 y)) (.f64 (.f64 (hypot.f64 z x) (sqrt.f64 y)) (/.f64 -1 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 z x) y)) (sqrt.f64 (.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 z x) 2) (neg.f64 y)) (/.f64 1 (-.f64 x z)))))) 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simplify87.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-neg_binary64`
570×	`times-frac_binary64`
485×	`associate-/l*_binary64`
469×	`fma-def_binary64`
386×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	1895
1	173	1692
2	403	1572
3	1205	1572
4	5900	1338

Stop Event

1×	node limit

Counts

269 → 176

Calls

Call 1

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

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

eval92.0ms (1.3%)

Compiler: Compiled 5758 to 2251 computations (60.9% saved)

prune80.0ms (1.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	397	9	406
Fresh	2	3	5
Picked	1	0	1
Done	2	3	5
Total	402	15	417

Error

Counts

417 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	40.8b	(/.f64 (*.f64 z y) z)
▶	19.1b	(/.f64 (+.f64 x (*.f64 y z)) z)
✓	22.6b	(*.f64 y (-.f64 1 (/.f64 x z)))
	31.2b	y
▶	40.9b	(*.f64 x (/.f64 1 z))
✓	12.1b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
	56.0b	(/.f64 (*.f64 x (neg.f64 y)) z)
	34.0b	(/.f64 (-.f64 x (*.f64 y x)) z)
▶	34.3b	(*.f64 (/.f64 (-.f64 1 y) z) x)
✓	40.8b	(/.f64 x z)
	34.1b	(.f64 (-.f64 x (.f64 x y)) (/.f64 1 z))
▶	6.1b	(fma.f64 x (/.f64 (-.f64 1 y) z) y)
	22.6b	(-.f64 y (/.f64 y (/.f64 z x)))
▶	53.5b	(*.f64 (/.f64 x z) (neg.f64 y))
	42.5b	(/.f64 (+.f64 x (/.f64 (.f64 (.f64 x (neg.f64 x)) y) (+.f64 x z))) z)

Compiler

Compiled 260 to 167 computations (35.8% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 y) z)
✓	5.8b	(fma.f64 x (/.f64 (-.f64 1 y) z) y)

Compiler

Compiled 23 to 13 computations (43.5% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

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

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

965×	`pow1_binary64`
896×	`add-log-exp_binary64`
896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	170	18
2	2294	18

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(/.f64 (-.f64 1 y) z)

Outputs

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

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

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Rules

638×	`fma-def_binary64`
464×	`fma-neg_binary64`
92×	`distribute-rgt-in_binary64`
87×	`cancel-sign-sub-inv_binary64`
79×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	608
1	66	550
2	150	433
3	340	433
4	732	433
5	1358	433
6	2115	433
7	2416	433
8	2559	433

Stop Event

1×

saturated

Counts

104 → 74

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 1 z))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`pow1_binary64`
514×	`add-sqr-sqrt_binary64`
495×	`add-log-exp_binary64`
495×	`log1p-expm1-u_binary64`
495×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	120	4
2	1424	4

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

45 → 21

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.3b	(*.f64 (/.f64 x z) (neg.f64 y))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
660×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2088	7

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

61 → 27

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 1 y) z)
✓	5.9b	(*.f64 (/.f64 (-.f64 1 y) z) x)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`pow1_binary64`
911×	`add-log-exp_binary64`
911×	`log1p-expm1-u_binary64`
911×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	10
2	2349	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def_binary64`
259×	`fma-neg_binary64`
92×	`cancel-sign-sub-inv_binary64`
85×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	484
1	29	451
2	62	451
3	120	352
4	271	352
5	510	352
6	1138	352
7	1657	352
8	2234	352
9	2299	352

Stop Event

1×

saturated

Counts

60 → 29

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y z))
✓	10.9b	(/.f64 (+.f64 x (*.f64 y z)) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series15.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(/.f64 (+.f64 x (*.f64 y z)) z)
1.0ms	y	@	0	(/.f64 (+.f64 x (*.f64 y z)) z)
1.0ms	z	@	-inf	(/.f64 (+.f64 x (*.f64 y z)) z)
1.0ms	z	@	inf	(/.f64 (+.f64 x (*.f64 y z)) z)
1.0ms	x	@	inf	(/.f64 (+.f64 x (*.f64 y z)) z)

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`pow1_binary64`
853×	`add-log-exp_binary64`
853×	`log1p-expm1-u_binary64`
853×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	13
2	2262	13

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	369
1	12	369
2	13	369

Stop Event

1×

saturated

Counts

138 → 72

Calls

Call 1

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

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

eval57.0ms (0.8%)

Compiler: Compiled 2809 to 1405 computations (50% saved)

prune54.0ms (0.7%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	256	6	262
Fresh	3	4	7
Picked	0	1	1
Done	2	5	7
Total	261	16	277

Error

Counts

277 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	40.8b	(/.f64 (*.f64 z y) z)
✓	19.1b	(/.f64 (+.f64 x (*.f64 y z)) z)
✓	22.6b	(*.f64 y (-.f64 1 (/.f64 x z)))
	31.2b	y
	9.6b	(fma.f64 x (/.f64 1 z) y)
✓	40.9b	(*.f64 x (/.f64 1 z))
▶	31.6b	(/.f64 (-.f64 1 y) (/.f64 z x))
✓	12.1b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	22.6b	(-.f64 y (/.f64 y (/.f64 z x)))
	33.7b	(/.f64 x (/.f64 z (-.f64 1 y)))
	56.0b	(/.f64 (*.f64 x (neg.f64 y)) z)
▶	9.5b	(+.f64 y (/.f64 x z))
✓	40.8b	(/.f64 x z)
▶	40.9b	(/.f64 1 (/.f64 z x))
▶	56.3b	(*.f64 (/.f64 (neg.f64 y) z) x)
✓	53.5b	(*.f64 (/.f64 x z) (neg.f64 y))

Compiler

Compiled 221 to 147 computations (33.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	21

Stop Event

1×

saturated

Counts

43 → 36

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (/.f64 z x))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	4
2	1611	4

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

59 → 36

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.2b	(*.f64 (/.f64 (neg.f64 y) z) x)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
641×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2153	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

58 → 24

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 y (/.f64 y (/.f64 z x)))
✓	3.7b	(/.f64 y (/.f64 z x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite108.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`prod-diff_binary64`
490×	`log-prod_binary64`
271×	`pow-prod-down_binary64`
234×	`pow2_binary64`
223×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	163	17
2	2599	17

Stop Event

1×	node limit

Counts

2 → 260

Calls

Call 1

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

Outputs

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

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

388×	`fma-def_binary64`
153×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
51×	`associate-r_binary64`
51×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	582
1	41	582
2	86	582
3	180	582
4	286	582
5	497	582
6	876	582
7	1038	582
8	1227	582
9	1350	582
10	1355	582

Stop Event

1×

saturated

Counts

332 → 268

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.8b	(/.f64 (-.f64 1 y) (/.f64 z x))

Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite125.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary64`
456×	`prod-diff_binary64`
392×	`exp-prod_binary64`
299×	`egg-rr`
262×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	177	10
2	2608	10

Stop Event

1×	node limit

Counts

1 → 299

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def_binary64`
259×	`fma-neg_binary64`
92×	`cancel-sign-sub-inv_binary64`
85×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	484
1	29	451
2	62	451
3	120	352
4	271	352
5	510	352
6	1138	352
7	1657	352
8	2234	352
9	2299	352

Stop Event

1×

saturated

Counts

335 → 304

Calls

Call 1

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

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

eval219.0ms (3%)

Compiler: Compiled 19187 to 6233 computations (67.5% saved)

prune100.0ms (1.4%)

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	666	2	668
Fresh	2	3	5
Picked	0	1	1
Done	0	10	10
Total	668	16	684

Error

Counts

684 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	40.8b	(/.f64 (*.f64 z y) z)
✓	19.1b	(/.f64 (+.f64 x (*.f64 y z)) z)
✓	22.6b	(*.f64 y (-.f64 1 (/.f64 x z)))
	9.6b	(fma.f64 x (/.f64 1 z) y)
	31.2b	y
	33.7b	(/.f64 x (/.f64 z (-.f64 1 y)))
✓	40.9b	(*.f64 x (/.f64 1 z))
✓	31.6b	(/.f64 (-.f64 1 y) (/.f64 z x))
✓	12.1b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	22.6b	(-.f64 y (/.f64 y (/.f64 z x)))
	56.0b	(/.f64 (*.f64 y x) (neg.f64 z))
✓	9.5b	(+.f64 y (/.f64 x z))
✓	40.8b	(/.f64 x z)
✓	40.9b	(/.f64 1 (/.f64 z x))
✓	56.3b	(*.f64 (/.f64 (neg.f64 y) z) x)
✓	53.5b	(*.f64 (/.f64 x z) (neg.f64 y))

Compiler

Compiled 140 to 93 computations (33.6% saved)

regimes181.0ms (2.5%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

4 calls:

60.0ms	x
40.0ms	z
39.0ms	y
33.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Error	Segments	Branch
1.4b	5	`x`
0.1b	3	`y`
0.1b	3	`z`
0.1b	3	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 225 to 97 computations (56.9% saved)

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	6321005.695493938	1260177517773.6494
19.0ms	-1.7691363646300464e+23	-129966.50384338232

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes129.0ms (1.8%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	y
38.0ms	x
32.0ms	z

Results

Error	Segments	Branch
7.7b	2	`x`
1.1b	3	`y`
7.2b	3	`z`

Compiler

Compiled 130 to 60 computations (53.8% saved)

bsearch137.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	1.9963099193206504e-9	0.08244578740702647
83.0ms	-47976.82319527205	-0.0015064742098010312

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes156.0ms (2.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

106.0ms	z
25.0ms	y
20.0ms	x

Results

Error	Segments	Branch
7.7b	2	`x`
1.1b	3	`y`
7.2b	3	`z`

Compiler

Compiled 93 to 43 computations (53.8% saved)

bsearch72.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.9963099193206504e-9	0.08244578740702647
51.0ms	-47976.82319527205	-0.0015064742098010312

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes114.0ms (1.6%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	z
26.0ms	y
15.0ms	x

Results

Error	Segments	Branch
7.7b	2	`x`
8.1b	3	`y`
7.2b	3	`z`

Compiler

Compiled 86 to 41 computations (52.3% saved)

bsearch47.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.5987095319428407e-168	3.313126335678011e-166
22.0ms	-1.8009435508812415e-276	-1.3061883898224871e-278

Compiler

Compiled 298 to 208 computations (30.2% saved)

regimes95.0ms (1.3%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	z
19.0ms	y
7.0ms	x

Results

Error	Segments	Branch
9.5b	1	`x`
8.1b	3	`y`
7.7b	3	`z`

Compiler

Compiled 65 to 31 computations (52.3% saved)

bsearch42.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	7.967998158687921e-237	5.7600849007337845e-235
22.0ms	-1.3061883898224871e-278	-7.84797878710734e-287

Compiler

Compiled 322 to 220 computations (31.7% saved)

regimes40.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
7.0ms	x
7.0ms	y

Results

Error	Segments	Branch
9.5b	1	`x`
9.5b	1	`y`
7.7b	3	`z`

Compiler

Compiled 59 to 30 computations (49.2% saved)

bsearch59.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	7.967998158687921e-237	5.7600849007337845e-235
25.0ms	-1.3061883898224871e-278	-7.84797878710734e-287

Compiler

Compiled 322 to 220 computations (31.7% saved)

regimes18.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
5.0ms	y
5.0ms	z

Results

Error	Segments	Branch
9.5b	1	`x`
9.5b	1	`y`
9.5b	1	`z`

Compiler

Compiled 41 to 22 computations (46.3% saved)

regimes68.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

Inputs
y
y
y
(/.f64 x z)

Outputs
y
(/.f64 x z)
y

Calls

3 calls:

43.0ms	x
14.0ms	z
10.0ms	y

Results

Error	Segments	Branch
23.4b	5	`x`
17.9b	3	`y`
23.7b	3	`z`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.9963099193206504e-9	0.08244578740702647
18.0ms	-2.441066437601481e-28	-1.4078315281012023e-33

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes13.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
y
y
y

Outputs
y

Calls

3 calls:

4.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
31.2b	1	`x`
31.2b	1	`y`
31.2b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
11×	`*-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	255
1	81	255
2	102	255
3	113	255
4	117	255

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y -176913636463004641918976) (.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 27148512739976200/4294967296) (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) (-.f64 y (/.f64 y (/.f64 z x)))))
(if (<=.f64 y -3296942185434683/68719476736) (*.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 4826781210839063/2417851639229258349412352) (+.f64 y (/.f64 x z)) (-.f64 y (/.f64 y (/.f64 z x)))))
(if (<=.f64 y -3296942185434683/68719476736) (-.f64 y (/.f64 y (/.f64 z x))) (if (<=.f64 y 4826781210839063/2417851639229258349412352) (+.f64 y (/.f64 x z)) (-.f64 y (/.f64 y (/.f64 z x)))))
(if (<=.f64 z -263450920858583/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (+.f64 y (/.f64 x z)) (if (<=.f64 z 6798566308054619/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (/.f64 (-.f64 1 y) (/.f64 z x)) (+.f64 y (/.f64 x z))))
(if (<=.f64 z -6857655085992111/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008) (+.f64 y (/.f64 x z)) (if (<=.f64 z 3665779701564795/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (*.f64 (/.f64 x z) (neg.f64 y)) (+.f64 y (/.f64 x z))))
(if (<=.f64 z -14649531738874748928/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (+.f64 y (/.f64 x z)) (if (<=.f64 z 16324175233530728/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 (*.f64 y x) (neg.f64 z)) (+.f64 y (/.f64 x z))))
(+.f64 y (/.f64 x z))
(if (<=.f64 y -1360940015940887/5575186299632655785383929568162090376495104) y (if (<=.f64 y 4826781210839063/2417851639229258349412352) (/.f64 x z) y))
y

Outputs
(if (<=.f64 y -176913636463004641918976) (.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 27148512739976200/4294967296) (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) (-.f64 y (/.f64 y (/.f64 z x)))))
(if (<=.f64 y -176913636463004641918976) (.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 3393564092497025/536870912) (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) (-.f64 y (/.f64 y (/.f64 z x)))))
(if (<=.f64 y -3296942185434683/68719476736) (*.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 4826781210839063/2417851639229258349412352) (+.f64 y (/.f64 x z)) (-.f64 y (/.f64 y (/.f64 z x)))))
(if (<=.f64 y -3296942185434683/68719476736) (-.f64 y (/.f64 y (/.f64 z x))) (if (<=.f64 y 4826781210839063/2417851639229258349412352) (+.f64 y (/.f64 x z)) (-.f64 y (/.f64 y (/.f64 z x)))))
(if (<=.f64 z -263450920858583/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (+.f64 y (/.f64 x z)) (if (<=.f64 z 6798566308054619/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (/.f64 (-.f64 1 y) (/.f64 z x)) (+.f64 y (/.f64 x z))))
(if (<=.f64 z -6857655085992111/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008) (+.f64 y (/.f64 x z)) (if (<=.f64 z 3665779701564795/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (*.f64 (/.f64 x z) (neg.f64 y)) (+.f64 y (/.f64 x z))))
(if (<=.f64 z -6857655085992111/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008) (+.f64 y (/.f64 x z)) (if (<=.f64 z 3665779701564795/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (*.f64 y (neg.f64 (/.f64 x z))) (+.f64 y (/.f64 x z))))
(if (<=.f64 z -14649531738874748928/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (+.f64 y (/.f64 x z)) (if (<=.f64 z 16324175233530728/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 (*.f64 y x) (neg.f64 z)) (+.f64 y (/.f64 x z))))
(if (<=.f64 z -1788272917343109/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (+.f64 y (/.f64 x z)) (if (<=.f64 z 2040521904191341/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (/.f64 (*.f64 y x) (neg.f64 z)) (+.f64 y (/.f64 x z))))
(+.f64 y (/.f64 x z))
(if (<=.f64 y -1360940015940887/5575186299632655785383929568162090376495104) y (if (<=.f64 y 4826781210839063/2417851639229258349412352) (/.f64 x z) y))
y

Compiler

Compiled 204 to 111 computations (45.6% saved)

soundness643.0ms (8.8%)

Algorithm

3×	egg-herbie

Rules

1914×	`fma-def_binary64`
1914×	`fma-def_binary64`
777×	`div-sub_binary64`
777×	`div-sub_binary64`
578×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1029
1	113	855
2	234	774
3	471	774
4	1010	774
5	2406	774
6	3923	774
7	4984	774
8	6953	774
9	7498	774
10	7592	774
0	46	1029
1	113	855
2	234	774
3	471	774
4	1010	774
5	2406	774
6	3923	774
7	4984	774
8	6953	774
9	7498	774
10	7592	774
0	15	477
1	33	477
2	68	477
3	127	477
4	250	477
5	426	477
6	816	477
7	1095	477
8	1286	477
9	1405	477
10	1419	477
11	1424	477

Stop Event

1×	saturated
1×	node limit
1×	node limit

Compiler

Compiled 382 to 236 computations (38.2% saved)

end119.0ms (1.6%)

Compiler: Compiled 180 to 68 computations (62.2% saved)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324