Details

analyze290.0ms (4.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	99.9%	0.1%	0%	0%	0%	8
1.6%	1.6%	97.5%	0.1%	0.8%	0%	0%	9
19.1%	18.7%	79.2%	0.1%	2%	0%	0%	10
22.6%	21.8%	74.7%	0.1%	3.3%	0%	0%	11
27.8%	26.5%	68.8%	0.1%	4.5%	0%	0%	12

Compiler

Compiled 13 to 8 computations (38.5% saved)

sample1.3s (21.8%)

Results

1.1s	8256×	body	256	valid
229.0ms	1749×	body	256	infinite

Bogosity

preprocess100.0ms (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)

simplify145.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

10.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 12 to 7 computations (41.7% saved)

localize18.0ms (0.3%)

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))
✓	9.7b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 30 to 7 computations (76.7% saved)

series40.0ms (0.7%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
18.0ms	z	@	inf	(+.f64 x (*.f64 y (-.f64 z x)))
2.0ms	y	@	-inf	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
2.0ms	z	@	-inf	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
1.0ms	x	@	inf	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
1.0ms	x	@	-inf	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite123.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

simplify214.0ms (3.5%)

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)

eval37.0ms (0.6%)

Compiler: Compiled 2472 to 805 computations (67.4% saved)

prune34.0ms (0.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	164	11	175
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	12	176

Error

Counts

176 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	10.3b	(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
▶	34.1b	(*.f64 (/.f64 (-.f64 1 y) z) x)
▶	18.7b	(/.f64 (+.f64 x (*.f64 y z)) z)
	21.0b	(*.f64 y (-.f64 1 (/.f64 x z)))
▶	42.0b	(/.f64 x z)
	31.3b	(/.f64 (*.f64 y (-.f64 z x)) z)
	4.1b	(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
	31.3b	y
	34.5b	(/.f64 (-.f64 x (*.f64 y x)) z)
▶	4.3b	(+.f64 y (/.f64 (.f64 (+.f64 1 (.f64 -1 y)) x) z))
✓	10.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	0.0b	(fma.f64 (-.f64 1 y) (/.f64 x z) y)

Compiler

Compiled 238 to 154 computations (35.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(fma.f64 (-.f64 1 y) (/.f64 x z) y)
1.0ms	y	@	0	(fma.f64 (-.f64 1 y) (/.f64 x z) y)
1.0ms	y	@	-inf	(fma.f64 (-.f64 1 y) (/.f64 x z) y)
1.0ms	x	@	-inf	(fma.f64 (-.f64 1 y) (/.f64 x z) y)
1.0ms	x	@	inf	(fma.f64 (-.f64 1 y) (/.f64 x z) y)

rewrite93.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
859×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
841×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	168	11
2	2219	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-def_binary64`
468×	`fma-neg_binary64`
90×	`distribute-rgt-in_binary64`
86×	`cancel-sign-sub-inv_binary64`
78×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	502
1	59	444
2	138	354
3	327	354
4	707	354
5	1340	354
6	2088	354
7	2389	354
8	2532	354

Stop Event

1×

saturated

Counts

57 → 34

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 y) z)
✓	4.0b	(*.f64 (/.f64 (-.f64 1 y) z) x)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series10.0ms (0.2%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(/.f64 (-.f64 1 y) z)
1.0ms	x	@	0	(*.f64 (/.f64 (-.f64 1 y) z) x)
1.0ms	z	@	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)

rewrite62.0ms (1%)

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)))))))

simplify64.0ms (1%)

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 x (*.f64 y z))
✓	8.7b	(/.f64 (+.f64 x (*.f64 y z)) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series10.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.f64 (+.f64 x (*.f64 y z)) z)
1.0ms	x	@	-inf	(/.f64 (+.f64 x (*.f64 y z)) z)
1.0ms	z	@	-inf	(/.f64 (+.f64 x (*.f64 y z)) z)
1.0ms	x	@	0	(/.f64 (+.f64 x (*.f64 y z)) z)
1.0ms	z	@	inf	(/.f64 (+.f64 x (*.f64 y z)) z)

rewrite69.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

138 → 72

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (/.f64 (.f64 (+.f64 1 (.f64 -1 y)) x) z))
✓	0.0b	(.f64 (+.f64 1 (.f64 -1 y)) x)
✓	4.1b	(/.f64 (.f64 (+.f64 1 (.f64 -1 y)) x) z)

Compiler

Compiled 43 to 29 computations (32.6% saved)

series13.0ms (0.2%)

Counts

3 → 48

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (+.f64 1 (.f64 -1 y)) x)
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 1 (.f64 -1 y)) x) z)
1.0ms	z	@	0	(/.f64 (.f64 (+.f64 1 (.f64 -1 y)) x) z)
1.0ms	x	@	inf	(+.f64 y (/.f64 (.f64 (+.f64 1 (.f64 -1 y)) x) z))
1.0ms	y	@	0	(/.f64 (.f64 (+.f64 1 (.f64 -1 y)) x) z)

rewrite81.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
371×	`pow-prod-down_binary64`
354×	`fma-def_binary64`
282×	`pow2_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	234	30
2	3435	24

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

Outputs

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

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

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

simplify178.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

800×	`fma-def_binary64`
519×	`fma-neg_binary64`
113×	`distribute-rgt-in_binary64`
93×	`unsub-neg_binary64`
86×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	546
1	82	491
2	172	410
3	380	410
4	739	410
5	1453	410
6	2466	410
7	2720	410
8	2757	410

Stop Event

1×

saturated

Counts

216 → 189

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

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

eval106.0ms (1.7%)

Compiler: Compiled 4513 to 1768 computations (60.8% saved)

prune95.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	354	9	363
Fresh	3	3	6
Picked	1	0	1
Done	4	1	5
Total	362	13	375

Error

Counts

375 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	y
▶	0.0b	(+.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) y)
	34.5b	(/.f64 (-.f64 x (*.f64 y x)) z)
▶	54.3b	(*.f64 (/.f64 (neg.f64 y) z) x)
	21.0b	(-.f64 y (*.f64 (/.f64 x z) y))
✓	42.0b	(/.f64 x z)
	31.3b	(/.f64 (*.f64 y (-.f64 z x)) z)
	25.0b	(+.f64 y (*.f64 x (/.f64 (neg.f64 y) z)))
▶	33.5b	(/.f64 x (/.f64 z (-.f64 1 y)))
▶	39.1b	(/.f64 (*.f64 y z) z)
	10.9b	(+.f64 y (/.f64 x z))
▶	42.1b	(*.f64 (/.f64 1 z) x)
	52.4b	(*.f64 y (/.f64 (neg.f64 x) z))

Compiler

Compiled 220 to 143 computations (35% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) y)
✓	3.7b	(*.f64 (-.f64 1 y) (/.f64 x z))

Compiler

Compiled 29 to 14 computations (51.7% saved)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite110.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log-prod_binary64`
385×	`exp-prod_binary64`
372×	`pow-prod-down_binary64`
296×	`fma-def_binary64`
274×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	199	21
2	2870	21

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (*.f64 (neg.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (*.f64 (/.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (-.f64 1 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (-.f64 1 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))) 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 (-.f64 1 (pow.f64 y 3)) (*.f64 (/.f64 z x) (+.f64 1 (fma.f64 y y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 y y)) (*.f64 (/.f64 z x) (+.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 1 (pow.f64 y 3)) 1) (*.f64 (+.f64 1 (fma.f64 y y y)) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) 1) (*.f64 (+.f64 1 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) x) (*.f64 (+.f64 1 (fma.f64 y y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (*.f64 (+.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) (neg.f64 x)) (*.f64 (+.f64 1 (fma.f64 y y y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) (neg.f64 x)) (*.f64 (+.f64 1 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (*.f64 z (+.f64 1 (fma.f64 y y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 (pow.f64 y 3))) (*.f64 (neg.f64 z) (+.f64 1 (fma.f64 y y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (*.f64 z (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 (*.f64 y y))) (*.f64 (neg.f64 z) (+.f64 1 y)))))) (#(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 (-.f64 1 (pow.f64 y 3)) (/.f64 x z)) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) (/.f64 x z)) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 (-.f64 1 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x z)) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 y) (/.f64 x z))))))) (#(struct:change 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simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
501×	`fma-neg_binary64`
103×	`distribute-rgt-in_binary64`
99×	`cancel-sign-sub-inv_binary64`
71×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	989
1	71	895
2	164	706
3	358	706
4	716	706
5	1360	706
6	2339	706
7	2664	706
8	2679	706

Stop Event

1×

saturated

Counts

229 → 172

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

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

localize35.0ms (0.6%)

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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (1.3%)

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)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.9b	(/.f64 (*.f64 y z) z)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`pow1_binary64`
489×	`add-sqr-sqrt_binary64`
478×	`add-log-exp_binary64`
478×	`log1p-expm1-u_binary64`
478×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	1
2	1549	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

61 → 38

Calls

Call 1

Inputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y

Outputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.7b	(*.f64 (/.f64 (neg.f64 y) z) x)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite83.0ms (1.4%)

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)))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 1 y))
✓	3.4b	(/.f64 x (/.f64 z (-.f64 1 y)))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 z (-.f64 1 y))
1.0ms	y	@	inf	(/.f64 z (-.f64 1 y))
1.0ms	y	@	-inf	(/.f64 z (-.f64 1 y))
1.0ms	z	@	0	(/.f64 z (-.f64 1 y))
1.0ms	z	@	-inf	(/.f64 z (-.f64 1 y))

rewrite104.0ms (1.7%)

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

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

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

simplify79.0ms (1.3%)

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)))

eval146.0ms (2.4%)

Compiler: Compiled 5169 to 2583 computations (50% saved)

prune89.0ms (1.5%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	404	4	408
Fresh	2	5	7
Picked	0	1	1
Done	1	4	5
Total	407	14	421

Error

Counts

421 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	y
✓	0.0b	(+.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) y)
	34.5b	(/.f64 (-.f64 x (*.f64 y x)) z)
	21.0b	(-.f64 y (*.f64 (/.f64 x z) y))
✓	39.1b	(/.f64 (*.f64 y z) z)
▶	37.4b	(*.f64 (/.f64 y z) z)
▶	25.0b	(+.f64 (*.f64 x (/.f64 (neg.f64 y) z)) y)
✓	42.1b	(*.f64 (/.f64 1 z) x)
▶	53.8b	(/.f64 x (/.f64 (neg.f64 z) y))
	52.4b	(*.f64 y (/.f64 (neg.f64 x) z))
✓	42.0b	(/.f64 x z)
▶	31.3b	(/.f64 (*.f64 y (-.f64 z x)) z)
✓	33.5b	(/.f64 x (/.f64 z (-.f64 1 y)))
▶	10.9b	(+.f64 (/.f64 x z) y)

Compiler

Compiled 198 to 127 computations (35.9% saved)

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.1b	(*.f64 (/.f64 y z) z)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`pow1_binary64`
550×	`add-log-exp_binary64`
550×	`log1p-expm1-u_binary64`
550×	`expm1-log1p-u_binary64`
537×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1460	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

45 → 22

Calls

Call 1

Inputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y

Outputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.4b	(/.f64 x (/.f64 (neg.f64 z) y))

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	@	inf	(/.f64 x (/.f64 (neg.f64 z) y))
0.0ms	x	@	0	(/.f64 x (/.f64 (neg.f64 z) y))
0.0ms	z	@	-inf	(/.f64 x (/.f64 (neg.f64 z) y))
0.0ms	z	@	inf	(/.f64 x (/.f64 (neg.f64 z) y))
0.0ms	x	@	inf	(/.f64 x (/.f64 (neg.f64 z) y))

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
723×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	156	7
2	2428	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

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

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)))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 z x))
✓	12.6b	(/.f64 (*.f64 y (-.f64 z x)) z)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

66 → 47

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x (/.f64 (neg.f64 y) z)) y)
✓	6.7b	(*.f64 x (/.f64 (neg.f64 y) z))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite66.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`pow1_binary64`
846×	`add-log-exp_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	182	15
2	2832	15

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

327×	`fma-def_binary64`
148×	`fma-neg_binary64`
61×	`cancel-sign-sub-inv_binary64`
56×	`associate-r_binary64`
54×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	684
1	47	654
2	106	654
3	227	654
4	388	654
5	710	654
6	1295	654
7	1354	654
8	1364	654
9	1378	654
10	1383	654

Stop Event

1×

saturated

Counts

132 → 67

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

eval42.0ms (0.7%)

Compiler: Compiled 2365 to 762 computations (67.8% saved)

prune39.0ms (0.6%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	213	4	217
Fresh	2	2	4
Picked	1	0	1
Done	0	9	9
Total	216	15	231

Error

Counts

231 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	37.8b	(/.f64 z (/.f64 z y))
✓	33.5b	(/.f64 x (/.f64 z (-.f64 1 y)))
	34.5b	(/.f64 (-.f64 x (*.f64 y x)) z)
	21.0b	(-.f64 y (*.f64 (/.f64 x z) y))
✓	39.1b	(/.f64 (*.f64 y z) z)
✓	37.4b	(*.f64 (/.f64 y z) z)
✓	53.8b	(/.f64 x (/.f64 (neg.f64 z) y))
	31.3b	y
✓	10.9b	(+.f64 (/.f64 x z) y)
	29.1b	(*.f64 (/.f64 y z) (-.f64 z x))
	52.4b	(*.f64 (/.f64 x z) (neg.f64 y))
✓	42.0b	(/.f64 x z)
✓	31.3b	(/.f64 (*.f64 y (-.f64 z x)) z)
✓	0.0b	(+.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) y)
✓	42.1b	(*.f64 (/.f64 1 z) x)

Compiler

Compiled 130 to 84 computations (35.4% saved)

regimes70.0ms (1.1%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	y
16.0ms	x
15.0ms	z
13.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

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

Compiler

Compiled 219 to 90 computations (58.9% saved)

regimes128.0ms (2.1%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	y
43.0ms	x
36.0ms	z

Results

Error	Segments	Branch
7.8b	4	`x`
0.7b	3	`y`
8.1b	3	`z`

Compiler

Compiled 146 to 59 computations (59.6% saved)

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.000152785957582002	322.5046230008819
21.0ms	-88.03962237568854	-0.003281424176635718

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes206.0ms (3.4%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

3 calls:

111.0ms	x
65.0ms	y
22.0ms	z

Results

Error	Segments	Branch
9.5b	3	`x`
3.8b	4	`y`
9.7b	3	`z`

Compiler

Compiled 81 to 36 computations (55.6% saved)

bsearch108.0ms (1.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
18.0ms	0.000152785957582002	322.5046230008819
36.0ms	-88.03962237568854	-0.003281424176635718
53.0ms	-3.133347743496633e+209	-2.991885830292739e+205

Compiler

Compiled 146 to 100 computations (31.5% saved)

regimes124.0ms (2%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	z
34.0ms	y
7.0ms	x

Results

Error	Segments	Branch
10.9b	1	`x`
8.1b	5	`y`
10.9b	1	`z`

Compiler

Compiled 74 to 34 computations (54.1% saved)

bsearch181.0ms (3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	1.1393337062156567e+49	2.480147712922749e+49
20.0ms	322.5046230008819	6467828.76445706
18.0ms	-1.0430289301792878e+37	-6.317049607049859e+35
122.0ms	-1.1878450870239766e+134	-5.7309358512212795e+128

Compiler

Compiled 153 to 111 computations (27.5% saved)

regimes21.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	z
6.0ms	y

Results

Error	Segments	Branch
10.9b	1	`x`
10.9b	1	`y`
10.9b	1	`z`

Compiler

Compiled 50 to 24 computations (52% saved)

regimes44.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

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

Outputs
y
(/.f64 x z)
y

Calls

3 calls:

16.0ms	z
14.0ms	y
12.0ms	x

Results

Error	Segments	Branch
23.3b	3	`x`
22.3b	3	`y`
24.5b	3	`z`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	8.772376219524149e-18	8.279505802454822e-14
20.0ms	-8.63245224127955e-17	-1.0477864638202621e-26

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:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
31.3b	1	`x`
31.3b	1	`y`
31.3b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	175
1	67	175
2	80	175
3	87	175
4	90	175

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) y)
(if (<=.f64 y -3097618832226485/35184372088832) (-.f64 y (.f64 (/.f64 x z) y)) (if (<=.f64 y 5636806915143669/36893488147419103232) (+.f64 (/.f64 x z) y) (-.f64 y (.f64 (/.f64 x z) y))))
(if (<=.f64 y -29999999999999999384603960273981645657513516311884305213873328958338665404318391724519627491473706312325746172734160948873799006237515912758430228379100214038884547862295165777434517070318287739673940852736) y (if (<=.f64 y -3097618832226485/35184372088832) (.f64 (/.f64 y z) (-.f64 z x)) (if (<=.f64 y 5636806915143669/36893488147419103232) (+.f64 (/.f64 x z) y) (.f64 (/.f64 y z) (-.f64 z x)))))
(if (<=.f64 y -580000000000000005122680735414077398192178759527898907296904398053591474972345541121721171158954922839149864386484034794250305536) y (if (<=.f64 y -10430289301792878068500178838361210880) (.f64 (/.f64 x z) (neg.f64 y)) (if (<=.f64 y 2836780664007879/8796093022208) (+.f64 (/.f64 x z) y) (if (<=.f64 y 11393337062156566897212909334198539745898799300608) (.f64 (/.f64 x z) (neg.f64 y)) y))))
(+.f64 (/.f64 x z) y)
(if (<=.f64 y -7003477289663709/81129638414606681695789005144064) y (if (<=.f64 y 1423399421453777/162259276829213363391578010288128) (/.f64 x z) y))
y

Outputs
(+.f64 (*.f64 (-.f64 1 y) (/.f64 x z)) y)
(+.f64 y (*.f64 (-.f64 1 y) (/.f64 x z)))
(if (<=.f64 y -3097618832226485/35184372088832) (-.f64 y (.f64 (/.f64 x z) y)) (if (<=.f64 y 5636806915143669/36893488147419103232) (+.f64 (/.f64 x z) y) (-.f64 y (.f64 (/.f64 x z) y))))
(if (<=.f64 y -3097618832226485/35184372088832) (-.f64 y (.f64 y (/.f64 x z))) (if (<=.f64 y 5636806915143669/36893488147419103232) (+.f64 y (/.f64 x z)) (-.f64 y (.f64 y (/.f64 x z)))))
(if (<=.f64 y -29999999999999999384603960273981645657513516311884305213873328958338665404318391724519627491473706312325746172734160948873799006237515912758430228379100214038884547862295165777434517070318287739673940852736) y (if (<=.f64 y -3097618832226485/35184372088832) (.f64 (/.f64 y z) (-.f64 z x)) (if (<=.f64 y 5636806915143669/36893488147419103232) (+.f64 (/.f64 x z) y) (.f64 (/.f64 y z) (-.f64 z x)))))
(if (<=.f64 y -29999999999999999384603960273981645657513516311884305213873328958338665404318391724519627491473706312325746172734160948873799006237515912758430228379100214038884547862295165777434517070318287739673940852736) y (if (<=.f64 y -3097618832226485/35184372088832) (.f64 (/.f64 y z) (-.f64 z x)) (if (<=.f64 y 5636806915143669/36893488147419103232) (+.f64 y (/.f64 x z)) (.f64 (/.f64 y z) (-.f64 z x)))))
(if (<=.f64 y -580000000000000005122680735414077398192178759527898907296904398053591474972345541121721171158954922839149864386484034794250305536) y (if (<=.f64 y -10430289301792878068500178838361210880) (.f64 (/.f64 x z) (neg.f64 y)) (if (<=.f64 y 2836780664007879/8796093022208) (+.f64 (/.f64 x z) y) (if (<=.f64 y 11393337062156566897212909334198539745898799300608) (.f64 (/.f64 x z) (neg.f64 y)) y))))
(if (<=.f64 y -580000000000000005122680735414077398192178759527898907296904398053591474972345541121721171158954922839149864386484034794250305536) y (if (<=.f64 y -10430289301792878068500178838361210880) (.f64 (/.f64 x z) (neg.f64 y)) (if (<=.f64 y 2836780664007879/8796093022208) (+.f64 y (/.f64 x z)) (if (<=.f64 y 11393337062156566897212909334198539745898799300608) (.f64 (/.f64 x z) (neg.f64 y)) y))))
(+.f64 (/.f64 x z) y)
(+.f64 y (/.f64 x z))
(if (<=.f64 y -7003477289663709/81129638414606681695789005144064) y (if (<=.f64 y 1423399421453777/162259276829213363391578010288128) (/.f64 x z) y))
y

Compiler

Compiled 143 to 75 computations (47.6% saved)

soundness263.0ms (4.3%)

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

Compiler

Compiled 164 to 112 computations (31.7% saved)

end58.0ms (0.9%)

Compiler: Compiled 125 to 49 computations (60.8% 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