Details

analyze319.0ms (5.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
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)

sample1.4s (24.2%)

Results

1.1s	8256×	body	256	valid
236.0ms	1658×	body	256	invalid

preprocess94.0ms (1.6%)

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)

simplify134.0ms (2.3%)

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)

prune1.0ms (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

12.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.3b	(/.f64 (fma.f64 y (-.f64 z x) x) z)
▶	12.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 23 to 13 computations (43.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	0.0b	(*.f64 y (-.f64 z x))
✓	11.5b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 30 to 7 computations (76.7% saved)

series16.0ms (0.3%)

Counts

3 → 96

Calls

27 calls:

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

rewrite136.0ms (2.4%)

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

Outputs

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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 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(+.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 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(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)))))

simplify183.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1914×	`fma-def_binary64`
769×	`div-sub_binary64`
592×	`fma-neg_binary64`
296×	`sub-neg_binary64`
269×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	1089
1	113	855
2	234	774
3	471	774
4	1010	774
5	2409	774
6	3939	774
7	4993	774
8	6978	774
9	7512	774
10	7605	774

Stop Event

1×	node limit

Counts

241 → 175

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 -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 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))))

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)
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(/.f64 x (/.f64 z (-.f64 1 y)))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(+.f64 y (/.f64 (.f64 (+.f64 1 (.f64 -1 y)) x) z))
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(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (.f64 (+.f64 1 (.f64 -1 y)) x) z))
(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 y (/.f64 (.f64 (+.f64 1 (.f64 -1 y)) x) z))
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(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
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(.f64 -1 (/.f64 (.f64 (-.f64 y 1) x) z))
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(+.f64 y (.f64 -1 (/.f64 (.f64 (-.f64 y 1) x) z)))
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(fma.f64 (-.f64 1 y) (/.f64 x z) y)
y
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(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
y
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(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(.f64 -1 (.f64 y x))
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x
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(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 y x))
(+.f64 (.f64 y z) (+.f64 x (.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (.f64 y z) (+.f64 x (.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (.f64 y z) (+.f64 x (.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 x (.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (.f64 y z) (+.f64 x (.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (.f64 y z) (+.f64 x (.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(+.f64 (.f64 y z) (+.f64 x (.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (.f64 y z) (+.f64 x (.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (.f64 y z) (+.f64 x (.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) 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)
✓	11.5b	(/.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
1.0ms	y	@	inf	(fma.f64 y (-.f64 z x) x)
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)
0.0ms	y	@	0	(/.f64 (fma.f64 y (-.f64 z x) x) z)

rewrite67.0ms (1.2%)

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)))))))

simplify175.0ms (3.1%)

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)

eval56.0ms (1%)

Compiler: Compiled 3431 to 1044 computations (69.6% saved)

prune94.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	246	8	254
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	247	9	256

Error

0.0b

Counts

256 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(/.f64 (-.f64 x (*.f64 y x)) z)
▶	12.3b	(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
▶	25.3b	(*.f64 y (-.f64 1 (/.f64 x z)))
	33.4b	y
✓	12.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	37.7b	(/.f64 x z)
▶	37.5b	(/.f64 (*.f64 y (-.f64 z x)) z)
▶	31.5b	(*.f64 (/.f64 (-.f64 1 y) z) x)
	18.3b	(/.f64 (+.f64 x (*.f64 y z)) z)

Compiler

Compiled 156 to 98 computations (37.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
	0.0b	(*.f64 y (-.f64 z x))
✓	14.7b	(/.f64 (*.f64 y (-.f64 z x)) z)

Compiler

Compiled 35 to 8 computations (77.1% saved)

series11.0ms (0.2%)

Counts

2 → 57

Calls

18 calls:

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

rewrite86.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
620×	`fma-def_binary64`
308×	`pow2_binary64`
300×	`fma-neg_binary64`
261×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	213	26
2	3637	24

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs

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

simplify121.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-neg_binary64`
378×	`fma-def_binary64`
368×	`distribute-rgt-neg-out_binary64`
353×	`unsub-neg_binary64`
350×	`neg-sub0_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	626
1	94	603
2	210	579
3	474	579
4	1045	531
5	2079	531
6	3376	531
7	5088	531
8	7138	531
9	7985	531

Stop Event

1×	node limit

Counts

216 → 178

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

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

localize4.0ms (0.1%)

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

localize8.0ms (0.1%)

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)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite68.0ms (1.2%)

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)))))))

simplify100.0ms (1.7%)

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 y) z)
✓	3.8b	(*.f64 (/.f64 (-.f64 1 y) z) x)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series52.0ms (0.9%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
40.0ms	z	@	0	(*.f64 (/.f64 (-.f64 1 y) z) x)
4.0ms	z	@	inf	(*.f64 (/.f64 (-.f64 1 y) z) x)
1.0ms	x	@	0	(*.f64 (/.f64 (-.f64 1 y) z) x)
1.0ms	y	@	0	(*.f64 (/.f64 (-.f64 1 y) z) x)
1.0ms	z	@	-inf	(*.f64 (/.f64 (-.f64 1 y) z) x)

rewrite67.0ms (1.2%)

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	17
1	171	17
2	2349	17

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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)))))))

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

simplify77.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

659×	`fma-def_binary64`
273×	`fma-neg_binary64`
89×	`cancel-sign-sub-inv_binary64`
87×	`distribute-rgt-in_binary64`
75×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	599
1	39	557
2	76	530
3	134	431
4	284	431
5	524	431
6	1167	431
7	1819	431
8	2204	431
9	2264	431

Stop Event

1×

saturated

Counts

106 → 68

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 z x))
	14.7b	(/.f64 (*.f64 y (-.f64 z x)) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

eval123.0ms (2.1%)

Compiler: Compiled 6123 to 2083 computations (66% saved)

prune115.0ms (2%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	425	7	432
Fresh	3	0	3
Picked	0	1	1
Done	1	4	5
Total	429	12	441

Error

Counts

441 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	y
✓	37.5b	(/.f64 (*.f64 y (-.f64 z x)) z)
	31.4b	(/.f64 x (/.f64 z (-.f64 1 y)))
▶	57.0b	(/.f64 (*.f64 x (neg.f64 y)) z)
▶	56.2b	(*.f64 (/.f64 (neg.f64 y) z) x)
✓	25.3b	(*.f64 y (-.f64 1 (/.f64 x z)))
✓	12.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	8.7b	(+.f64 y (/.f64 x z))
✓	37.7b	(/.f64 x z)
▶	37.8b	(*.f64 (/.f64 1 z) x)
✓	31.5b	(*.f64 (/.f64 (-.f64 1 y) z) x)
▶	54.8b	(*.f64 (/.f64 x z) (neg.f64 y))

Compiler

Compiled 158 to 106 computations (32.9% saved)

localize5.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`pow1_binary64`
511×	`add-sqr-sqrt_binary64`
492×	`add-log-exp_binary64`
492×	`log1p-expm1-u_binary64`
492×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	118	4
2	1386	4

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 (/.f64 1 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 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x z)))) (#(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 (0.2%)

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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.5b	(*.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	x	@	inf	(*.f64 (/.f64 x z) (neg.f64 y))

rewrite65.0ms (1.1%)

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)))))))

simplify31.0ms (0.5%)

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)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.6b	(*.f64 (/.f64 (neg.f64 y) z) x)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (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	@	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)

rewrite55.0ms (1%)

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)))))))

simplify31.0ms (0.5%)

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)))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.9b	(/.f64 (*.f64 x (neg.f64 y)) z)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
672×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2171	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.5%)

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

77 → 43

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)))

eval21.0ms (0.4%)

Compiler: Compiled 919 to 331 computations (64% saved)

prune24.0ms (0.4%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	9	9
Total	115	12	127

Error

Counts

127 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	y
✓	37.5b	(/.f64 (*.f64 y (-.f64 z x)) z)
▶	31.4b	(/.f64 x (/.f64 z (-.f64 1 y)))
✓	57.0b	(/.f64 (*.f64 x (neg.f64 y)) z)
✓	56.2b	(*.f64 (/.f64 (neg.f64 y) z) x)
✓	25.3b	(*.f64 y (-.f64 1 (/.f64 x z)))
✓	12.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	8.7b	(+.f64 y (/.f64 x z))
✓	37.7b	(/.f64 x z)
✓	37.8b	(*.f64 (/.f64 1 z) x)
✓	31.5b	(*.f64 (/.f64 (-.f64 1 y) z) x)
✓	54.8b	(*.f64 (/.f64 x z) (neg.f64 y))

Compiler

Compiled 105 to 70 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 1 y))
✓	3.3b	(/.f64 x (/.f64 z (-.f64 1 y)))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

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

rewrite76.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

478×	`log-prod_binary64`
377×	`exp-prod_binary64`
304×	`prod-exp_binary64`
256×	`pow-prod-down_binary64`
238×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	175	17
2	2518	17

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

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

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

570×	`fma-def_binary64`
439×	`distribute-lft-out_binary64`
386×	`sub-neg_binary64`
382×	`associate-*r/_binary64`
317×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	561
1	122	543
2	347	530
3	1106	511
4	4336	505

Stop Event

1×	node limit

Counts

181 → 153

Calls

Call 1

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

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

eval51.0ms (0.9%)

Compiler: Compiled 1934 to 1121 computations (42% saved)

prune37.0ms (0.6%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	1	1
Picked	0	1	1
Done	0	10	10
Total	152	13	165

Error

Counts

165 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	y
✓	37.5b	(/.f64 (*.f64 y (-.f64 z x)) z)
	56.2b	(/.f64 x (/.f64 (neg.f64 z) y))
✓	31.5b	(*.f64 (/.f64 (-.f64 1 y) z) x)
✓	31.4b	(/.f64 x (/.f64 z (-.f64 1 y)))
✓	57.0b	(/.f64 (*.f64 x (neg.f64 y)) z)
✓	56.2b	(*.f64 (/.f64 (neg.f64 y) z) x)
✓	25.3b	(*.f64 y (-.f64 1 (/.f64 x z)))
✓	12.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	8.7b	(+.f64 y (/.f64 x z))
✓	37.7b	(/.f64 x z)
✓	37.8b	(*.f64 (/.f64 1 z) x)
✓	54.8b	(*.f64 (/.f64 x z) (neg.f64 y))

Compiler

Compiled 114 to 76 computations (33.3% saved)

regimes118.0ms (2%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	x
28.0ms	z
27.0ms	y
24.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Error	Segments	Branch
6.4b	4	`x`
0.1b	3	`y`
3.0b	3	`z`
0.1b	3	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 136 to 58 computations (57.4% saved)

bsearch39.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	6.430956139408038e+23	3.915288406495468e+30
20.0ms	-4.0069046279066546e+45	-2377619976175714300.0

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes115.0ms (2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	x
27.0ms	y
26.0ms	z
24.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Error	Segments	Branch
6.5b	4	`x`
0.1b	3	`y`
3.0b	3	`z`
0.1b	3	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 117 to 55 computations (53% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	6.430956139408038e+23	3.915288406495468e+30
18.0ms	-4.0069046279066546e+45	-2377619976175714300.0

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes87.0ms (1.5%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	z
25.0ms	y
15.0ms	x

Results

Error	Segments	Branch
7.6b	2	`x`
0.6b	3	`y`
6.6b	5	`z`

Compiler

Compiled 96 to 46 computations (52.1% saved)

bsearch18.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.0027402191415945546	0.002835982523971087
18.0ms	-4.0069046279066546e+45	-2377619976175714300.0

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes54.0ms (0.9%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	z
13.0ms	x
7.0ms	y

Results

Error	Segments	Branch
7.6b	2	`x`
8.7b	1	`y`
6.7b	5	`z`

Compiler

Compiled 68 to 33 computations (51.5% saved)

bsearch208.0ms (3.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	1.0573980933339896e-228	2.3570187753747655e-212
31.0ms	-1.8200809274432968e-201	-2.138004697268007e-206
88.0ms	-3.1417734013284247e-56	-2.1935069231959608e-69
65.0ms	-1.4557352996328733e-40	-2.0814387611067555e-42

Compiler

Compiled 738 to 497 computations (32.7% saved)

regimes37.0ms (0.7%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	z
11.0ms	x
6.0ms	y

Results

Error	Segments	Branch
7.6b	2	`x`
8.7b	1	`y`
7.7b	3	`z`

Compiler

Compiled 61 to 30 computations (50.8% saved)

bsearch38.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	1.0459963400135184e+143	2.2238592924521784e+144

Compiler

Compiled 158 to 110 computations (30.4% saved)

regimes22.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	z
7.0ms	y
6.0ms	x

Results

Error	Segments	Branch
8.7b	1	`x`
8.7b	1	`y`
8.7b	1	`z`

Compiler

Compiled 54 to 26 computations (51.9% saved)

regimes48.0ms (0.8%)

Counts

3 → 3

Calls

Call 1

Inputs
y
y
(/.f64 x z)

Outputs
y
(/.f64 x z)
y

Calls

3 calls:

25.0ms	z
11.0ms	y
10.0ms	x

Results

Error	Segments	Branch
23.4b	3	`x`
15.5b	3	`y`
24.5b	7	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.2764160985278215e-15	2.3906805338470604e-14
18.0ms	-1.2773767041079875e-46	-5.04758873194668e-51

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes11.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
y
y

Outputs
y

Calls

3 calls:

4.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
33.4b	1	`x`
33.4b	1	`y`
33.4b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	246
1	73	246
2	91	246
3	99	246
4	103	246

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 643095613940803840245760) (+.f64 (/.f64 (.f64 y (-.f64 z x)) z) (/.f64 x z)) (*.f64 y (-.f64 1 (/.f64 x z)))))
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 643095613940803840245760) (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) (*.f64 y (-.f64 1 (/.f64 x z)))))
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 6456360425798343/2305843009213693952) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 1 (/.f64 x z)))))
(if (<=.f64 z -6590956822156015/3138550867693340381917894711603833208051177722232017256448) (+.f64 y (/.f64 x z)) (if (<=.f64 z -6846532376016239/220855883097298041197912187592864814478435487109452369765200775161577472) (/.f64 x (/.f64 z (-.f64 1 y))) (if (<=.f64 z -7771686414365015/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (+.f64 y (/.f64 x z)) (if (<=.f64 z 7237729586025109/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (/.f64 (-.f64 x (*.f64 y x)) z) (+.f64 y (/.f64 x z))))))
(if (<=.f64 x 2199999999999999878948095306481503062648160932280369347664305764085986396837471471236159044223781807086160750585724624279794823886034940150677504) (+.f64 y (/.f64 x z)) (/.f64 x (/.f64 z (-.f64 1 y))))
(+.f64 y (/.f64 x z))
(if (<=.f64 y -3284264356290055/25711008708143844408671393477458601640355247900524685364822016) y (if (<=.f64 y 6472198533759071/5070602400912917605986812821504) (/.f64 x z) y))
y

Outputs
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 643095613940803840245760) (+.f64 (/.f64 (.f64 y (-.f64 z x)) z) (/.f64 x z)) (*.f64 y (-.f64 1 (/.f64 x z)))))
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 643095613940803840245760) (+.f64 (/.f64 x z) (/.f64 (.f64 y (-.f64 z x)) z)) (*.f64 y (-.f64 1 (/.f64 x z)))))
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 643095613940803840245760) (/.f64 (+.f64 x (.f64 y (-.f64 z x))) z) (*.f64 y (-.f64 1 (/.f64 x z)))))
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (.f64 y (-.f64 1 (/.f64 x z))) (if (<=.f64 y 6456360425798343/2305843009213693952) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 1 (/.f64 x z)))))
(if (<=.f64 z -6590956822156015/3138550867693340381917894711603833208051177722232017256448) (+.f64 y (/.f64 x z)) (if (<=.f64 z -6846532376016239/220855883097298041197912187592864814478435487109452369765200775161577472) (/.f64 x (/.f64 z (-.f64 1 y))) (if (<=.f64 z -7771686414365015/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (+.f64 y (/.f64 x z)) (if (<=.f64 z 7237729586025109/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (/.f64 (-.f64 x (*.f64 y x)) z) (+.f64 y (/.f64 x z))))))
(if (<=.f64 x 2199999999999999878948095306481503062648160932280369347664305764085986396837471471236159044223781807086160750585724624279794823886034940150677504) (+.f64 y (/.f64 x z)) (/.f64 x (/.f64 z (-.f64 1 y))))
(+.f64 y (/.f64 x z))
(if (<=.f64 y -3284264356290055/25711008708143844408671393477458601640355247900524685364822016) y (if (<=.f64 y 6472198533759071/5070602400912917605986812821504) (/.f64 x z) y))
y

Compiler

Compiled 195 to 111 computations (43.1% saved)

soundness556.0ms (9.7%)

Algorithm

2×	egg-herbie

Rules

2060×	`fma-neg_binary64`
1914×	`fma-def_binary64`
769×	`div-sub_binary64`
592×	`fma-neg_binary64`
385×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	1089
1	113	855
2	234	774
3	471	774
4	1010	774
5	2409	774
6	3939	774
7	4993	774
8	6978	774
9	7512	774
10	7605	774
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
1×	node limit

Compiler

Compiled 193 to 116 computations (39.9% saved)

end72.0ms (1.2%)

Compiler: Compiled 174 to 79 computations (54.6% 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

Details

analyze319.0ms (5.6%)

sample1.4s (24.2%)

preprocess94.0ms (1.6%)

simplify134.0ms (2.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series16.0ms (0.3%)

rewrite136.0ms (2.4%)

simplify183.0ms (3.2%)

localize8.0ms (0.1%)

series8.0ms (0.1%)

rewrite67.0ms (1.2%)

simplify175.0ms (3.1%)

eval56.0ms (1%)

prune94.0ms (1.6%)

localize11.0ms (0.2%)

series11.0ms (0.2%)

rewrite86.0ms (1.5%)

simplify121.0ms (2.1%)

localize4.0ms (0.1%)

localize8.0ms (0.1%)

series6.0ms (0.1%)

rewrite68.0ms (1.2%)

simplify100.0ms (1.7%)

localize9.0ms (0.1%)

series52.0ms (0.9%)

rewrite67.0ms (1.2%)

simplify77.0ms (1.3%)

localize7.0ms (0.1%)

eval123.0ms (2.1%)

prune115.0ms (2%)

localize5.0ms (0.1%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite59.0ms (1%)

simplify10.0ms (0.2%)

localize6.0ms (0.1%)

series5.0ms (0.1%)

rewrite65.0ms (1.1%)

simplify31.0ms (0.5%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite55.0ms (1%)

simplify31.0ms (0.5%)

localize10.0ms (0.2%)

series3.0ms (0%)

rewrite63.0ms (1.1%)

simplify30.0ms (0.5%)

eval21.0ms (0.4%)

prune24.0ms (0.4%)

localize10.0ms (0.2%)

series6.0ms (0.1%)

rewrite76.0ms (1.3%)

simplify61.0ms (1.1%)

eval51.0ms (0.9%)

prune37.0ms (0.6%)

regimes118.0ms (2%)

bsearch39.0ms (0.7%)

regimes115.0ms (2%)

bsearch37.0ms (0.6%)

regimes87.0ms (1.5%)

bsearch18.0ms (0.3%)

regimes54.0ms (0.9%)

bsearch208.0ms (3.6%)

regimes37.0ms (0.7%)

bsearch38.0ms (0.7%)

regimes22.0ms (0.4%)

regimes48.0ms (0.8%)

bsearch36.0ms (0.6%)

regimes11.0ms (0.2%)

simplify14.0ms (0.2%)

soundness556.0ms (9.7%)

end72.0ms (1.2%)

Profiling

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