Details

analyze216.0ms (1.9%)

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
3.1%	3.1%	96.7%	0.1%	0%	0%	0%	8
14.3%	14%	84.3%	0.1%	1.6%	0%	0%	9
20.3%	19.5%	76.5%	0.1%	3.9%	0%	0%	10
26.4%	25.4%	70.6%	0.1%	3.9%	0%	0%	11
41.7%	38.8%	54.2%	0.1%	6.8%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample3.2s (28.6%)

Results

3.0s	8256×	body	256	valid
150.0ms	982×	body	256	infinite

Bogosity

preprocess159.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

4568×	`rational.json-simplify-51`
4074×	`rational.json-simplify-41`
1776×	`rational.json-simplify-35`
1408×	`rational.json-simplify-2`
928×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	40	76
2	79	76
3	140	76
4	249	76
5	481	76
6	1088	76
7	1643	76
8	1910	76
9	1993	76
10	2076	76
11	2147	76
12	2218	76
13	2289	76
14	2360	76
15	2431	76
16	2502	76
17	2573	76
18	2644	76
19	2715	76
20	2786	76
21	2857	76
22	5608	76
23	6441	76
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 z)) y)
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 (*.f64 x (-.f64 z y)) z)

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify409.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

5754×	`rational.json-simplify-51`
3410×	`rational.json-simplify-1`
3246×	`rational.json-simplify-2`
1328×	`rational.json-simplify-35`
684×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	14	19
2	25	19
3	42	19
4	75	19
5	146	19
6	344	19
7	865	19
8	1318	19
9	1496	19
10	1531	19
11	1564	19
12	1591	19
13	1618	19
14	1645	19
15	1672	19
16	1699	19
17	1726	19
18	1753	19
19	1780	19
20	1807	19
21	1834	19
22	1861	19
23	1888	19
24	7205	19
25	7420	19
26	7455	19
27	7490	19
28	7525	19
29	7560	19
30	7595	19
31	7630	19
32	7665	19
33	7700	19
34	7735	19
35	7770	19
36	7805	19
37	7840	19
38	7875	19
39	7910	19

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 24 to 10 computations (58.3% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Kept	Total
New	3	3
Fresh	1	1
Picked	0	0
Done	0	0
Total	4	4

Error

0.0b

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	11.3b	(*.f64 (-.f64 y z) (/.f64 x y))
▶	2.6b	(*.f64 x (/.f64 (-.f64 y z) y))

Compiler

Compiled 30 to 18 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	2.4b	(*.f64 x (/.f64 (-.f64 y z) y))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`rational.json-1`
1736×	`rational.json-2`
1736×	`rational.json-4`
1736×	`rational.json-3`
1728×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	54	32
2	138	32
3	351	32
4	898	32
5	4295	32

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 (-.f64 y z) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (/.f64 (-.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (/.f64 (-.f64 y z) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y z) (.f64 (/.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y z) (.f64 -1 (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y z) y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y z) y) (.f64 (/.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y z) y) (.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 (-.f64 y z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 y (.f64 x (-.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 z y) -2) (.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 z y) -2) (+.f64 (/.f64 y x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 z y) -2) (.f64 (.f64 y (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 z y) -2) (.f64 -2 (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (/.f64 y (-.f64 y z)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 y (.f64 x (-.f64 y z))) (/.f64 y (.f64 x (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (.f64 (/.f64 y (-.f64 y z)) (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 (.f64 (-.f64 z y) -2) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 y (/.f64 (-.f64 z y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 z y) -2) y) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 z y) -2) y) (+.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 z y) -2) y) (.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 z y) -2) y) (.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 z y) -4) (+.f64 (.f64 y (/.f64 2 x)) (.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 z y) -4) (/.f64 (.f64 y 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 z y) -4) (.f64 4 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 z y) -4) (.f64 (.f64 y 4) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 z y) -4) (.f64 2 (.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 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z)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (-.f64 y z)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (-.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (-.f64 y z) y) (/.f64 (-.f64 y z) y)) (/.f64 (/.f64 (.f64 (-.f64 z y) -2) y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 (-.f64 y z) (/.f64 y (.f64 x 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x 4)) (+.f64 (/.f64 (.f64 y 4) (-.f64 y z)) (/.f64 (.f64 y 4) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x 4)) (.f64 8 (/.f64 y (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 (-.f64 y z) y) 4)) (.f64 8 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 y z) 8)) (.f64 (.f64 2 (.f64 y 8)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (-.f64 z y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (-.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 z y) y))))))

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1832×	`rational.json-simplify-35`
1068×	`rational.json-simplify-61`
936×	`rational.json-simplify-44`
894×	`rational.json-simplify-51`
822×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	5805
1	1611	5583
2	6109	5565

Stop Event

1×	node limit

Counts

257 → 258

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(*.f64 -1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
1
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
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(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 1 (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 0)
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(-.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 0)
(/.f64 x (/.f64 y (-.f64 y z)))
(/.f64 (-.f64 y z) (/.f64 y x))
(/.f64 (-.f64 y z) (*.f64 (/.f64 y x) 1))
(/.f64 (-.f64 y z) (*.f64 -1 (/.f64 y (neg.f64 x))))
(/.f64 (/.f64 (-.f64 y z) y) (/.f64 1 x))
(/.f64 (/.f64 (-.f64 y z) y) (*.f64 (/.f64 1 x) 1))
(/.f64 (/.f64 (-.f64 y z) y) (*.f64 1/2 (/.f64 2 x)))
(/.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 1)
(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
(/.f64 1 (.f64 (/.f64 y (.f64 x (-.f64 y z))) 1))
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(/.f64 4 (*.f64 (/.f64 y (/.f64 (-.f64 z y) -2)) (/.f64 2 x)))
(/.f64 (/.f64 (-.f64 y z) (/.f64 y (*.f64 x 4))) 4)
(/.f64 (.f64 x 4) (/.f64 (.f64 y 4) (-.f64 y z)))
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(/.f64 (.f64 (/.f64 (-.f64 y z) y) 4) (.f64 4 (/.f64 1 x)))
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(/.f64 1/2 (/.f64 (/.f64 y (-.f64 y z)) (+.f64 x x)))
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(/.f64 (.f64 (/.f64 (-.f64 y z) y) (/.f64 (-.f64 y z) y)) (/.f64 (/.f64 (.f64 (-.f64 z y) -2) y) (+.f64 x x)))
(/.f64 (.f64 2 (/.f64 (-.f64 y z) (/.f64 y (.f64 x 4)))) 8)
(/.f64 (.f64 2 (.f64 x 4)) (+.f64 (/.f64 (.f64 y 4) (-.f64 y z)) (/.f64 (.f64 y 4) (-.f64 y z))))
(/.f64 (.f64 2 (.f64 x 4)) (*.f64 8 (/.f64 y (-.f64 y z))))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 y z) y) 4)) (*.f64 8 (/.f64 1 x)))
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(/.f64 (*.f64 x (/.f64 1/2 y)) (/.f64 1/2 (-.f64 y z)))
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(/.f64 (/.f64 (-.f64 z y) y) (*.f64 -1 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 y z) (/.f64 y (/.f64 y (/.f64 (-.f64 z y) -2)))) (*.f64 (/.f64 y (-.f64 y z)) (/.f64 2 x)))
(/.f64 (/.f64 (-.f64 z y) (*.f64 y -2)) (/.f64 1 (+.f64 x x)))
(/.f64 (/.f64 (-.f64 z y) (.f64 y -2)) (.f64 1/2 (/.f64 1 x)))
(/.f64 (.f64 x 1/2) (.f64 y (/.f64 1/2 (-.f64 y z))))
(/.f64 (.f64 x (/.f64 (-.f64 z y) (.f64 y -2))) 1/2)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (-.f64 y z))))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 (/.f64 y (-.f64 y z))) 1))
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(/.f64 (.f64 4 (-.f64 z y)) (.f64 (.f64 2 (.f64 y -2)) (/.f64 1 x)))
(/.f64 (.f64 4 (-.f64 z y)) (.f64 (*.f64 2 (neg.f64 (+.f64 y y))) (/.f64 1 x)))
(/.f64 (.f64 4 (-.f64 z y)) (.f64 (neg.f64 (*.f64 y 4)) (/.f64 1 x)))
(/.f64 (.f64 4 (-.f64 z y)) (.f64 4 (/.f64 y (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 y z) -2)) (.f64 y (/.f64 2 x)))
(/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 1 (-.f64 y z)) (/.f64 1 (-.f64 y z))))
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(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 y (-.f64 y z))) (neg.f64 (/.f64 y (-.f64 y z)))))
(/.f64 (/.f64 (+.f64 x x) y) (/.f64 2 (-.f64 y z)))
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(/.f64 (/.f64 (*.f64 (-.f64 y z) 8) (/.f64 y x)) 8)
(/.f64 (/.f64 (-.f64 y z) (/.f64 1 x)) y)
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(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (-.f64 y z)))
(/.f64 (/.f64 (-.f64 z y) (/.f64 1 x)) (neg.f64 y))
(/.f64 (/.f64 (/.f64 y (-.f64 y z)) (/.f64 1 x)) (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y)))
(/.f64 (/.f64 -1 (/.f64 1 x)) (neg.f64 (/.f64 y (-.f64 y z))))
(/.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) -2)) (/.f64 1 x)) (*.f64 2 (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y))))
(/.f64 (/.f64 4 (/.f64 1 x)) (/.f64 (*.f64 y 4) (-.f64 y z)))
(/.f64 (/.f64 (.f64 (-.f64 y z) 8) (/.f64 1 x)) (.f64 y 8))
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(/.f64 (/.f64 (/.f64 (-.f64 z y) y) (/.f64 1 x)) -1)
(/.f64 (/.f64 (.f64 4 (-.f64 z y)) (/.f64 1 x)) (.f64 2 (*.f64 y -2)))
(/.f64 (/.f64 (.f64 4 (-.f64 z y)) (/.f64 1 x)) (.f64 2 (neg.f64 (+.f64 y y))))
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(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 y z) -2)) (/.f64 1 x)) (+.f64 y y))
(/.f64 (/.f64 1 (/.f64 2 x)) (*.f64 y (/.f64 1/2 (-.f64 y z))))
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(/.f64 (/.f64 y (*.f64 (-.f64 y z) (/.f64 1 x))) (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y)))))
(/.f64 (-.f64 y z) (.f64 (/.f64 2 x) (.f64 (/.f64 y (-.f64 y z)) (/.f64 (-.f64 z y) -2))))
(/.f64 (/.f64 4 (/.f64 2 x)) (/.f64 y (/.f64 (-.f64 z y) -2)))
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(*.f64 (-.f64 y z) (/.f64 x y))
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(.f64 y (/.f64 (/.f64 (-.f64 z y) y) (.f64 (/.f64 y (-.f64 z y)) (-.f64 y z))))
(*.f64 (-.f64 y z) (/.f64 1 y))
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(.f64 (-.f64 y z) (.f64 (/.f64 1 y) 1))
(.f64 (-.f64 y z) (.f64 (/.f64 2 y) 1/2))
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(.f64 1/2 (.f64 (-.f64 y z) (/.f64 2 y)))
(*.f64 (/.f64 (-.f64 y z) y) 1)
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(*.f64 1 (/.f64 (-.f64 y z) y))
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(.f64 (.f64 (-.f64 z y) -2) (/.f64 1/2 y))
(.f64 (-.f64 z y) (.f64 -2 (/.f64 1/2 y)))
(.f64 2 (/.f64 (-.f64 z y) (.f64 y -2)))
(*.f64 2 (/.f64 (-.f64 y z) (+.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 z y) -2) y) 1/2)
(.f64 1/2 (.f64 -2 (/.f64 (-.f64 z y) y)))
(.f64 1/2 (.f64 (-.f64 z y) (/.f64 -2 y)))
(.f64 (.f64 (-.f64 z y) -4) (/.f64 1 (*.f64 y 4)))
(.f64 (-.f64 z y) (.f64 -4 (/.f64 1 (*.f64 y 4))))
(.f64 (-.f64 z y) (.f64 -4 (/.f64 1/4 y)))
(.f64 (.f64 (-.f64 z y) -4) (*.f64 1/2 (/.f64 1/2 y)))
(.f64 1/2 (.f64 (/.f64 1/2 y) (*.f64 (-.f64 z y) -4)))
(.f64 1/2 (.f64 (-.f64 z y) (*.f64 -4 (/.f64 1/2 y))))
(.f64 (.f64 (-.f64 z y) -4) (.f64 (/.f64 1 (.f64 y 4)) 1))
(.f64 (-.f64 z y) (.f64 -4 (/.f64 1 (*.f64 y 4))))
(.f64 (-.f64 z y) (.f64 -4 (/.f64 1/4 y)))
(.f64 (.f64 (-.f64 z y) -4) (*.f64 1/4 (/.f64 1 y)))
(.f64 (.f64 (-.f64 z y) -4) (*.f64 (/.f64 1 y) 1/4))
(.f64 (-.f64 z y) (.f64 -4 (*.f64 (/.f64 1 y) 1/4)))
(.f64 1/4 (.f64 -4 (/.f64 (-.f64 y z) (neg.f64 y))))
(*.f64 (/.f64 1 y) (-.f64 y z))
(/.f64 (-.f64 y z) y)
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (-.f64 y z))))
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(/.f64 (-.f64 y z) y)
(.f64 (-.f64 z y) (.f64 (/.f64 -1 y) 1))
(/.f64 (-.f64 y z) y)
(.f64 (-.f64 z y) (.f64 -1 (/.f64 1 y)))
(/.f64 (-.f64 y z) y)
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 1 (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y))))
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 1 (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y))))))
(.f64 (/.f64 y (-.f64 y z)) (/.f64 (-.f64 z y) (.f64 y (/.f64 y (-.f64 z y)))))
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 (/.f64 (-.f64 y z) y) (/.f64 y (-.f64 y z))))
(.f64 (/.f64 y (-.f64 y z)) (/.f64 2 (.f64 2 (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y)))))
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 1 (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y))))))
(.f64 (/.f64 y (-.f64 y z)) (/.f64 (-.f64 z y) (.f64 y (/.f64 y (-.f64 z y)))))
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 (/.f64 (-.f64 y z) y) (/.f64 y (-.f64 y z))))
(*.f64 -1 (/.f64 (-.f64 z y) y))
(/.f64 (-.f64 y z) y)
(.f64 -1 (.f64 (/.f64 (-.f64 z y) y) 1))
(/.f64 (-.f64 y z) y)
(.f64 -1 (/.f64 (.f64 (-.f64 z y) -2) (neg.f64 (+.f64 y y))))
(/.f64 (-.f64 y z) y)
(.f64 (/.f64 y (/.f64 (-.f64 z y) -2)) (/.f64 1 (.f64 2 (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y)))))
(*.f64 (/.f64 y (/.f64 (-.f64 z y) -2)) (/.f64 1/2 (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y))))))
(/.f64 (/.f64 (+.f64 y y) (-.f64 y z)) (/.f64 (/.f64 (/.f64 y (-.f64 z y)) 1/2) (/.f64 (-.f64 z y) y)))
(/.f64 (/.f64 (+.f64 y y) (-.f64 y z)) (/.f64 (*.f64 (/.f64 y (-.f64 y z)) -2) (/.f64 (-.f64 z y) y)))
(*.f64 (/.f64 y (/.f64 (-.f64 z y) -2)) (/.f64 1/2 (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y))))
(*.f64 (/.f64 y (/.f64 (-.f64 z y) -2)) (/.f64 1/2 (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y))))))
(/.f64 (/.f64 (+.f64 y y) (-.f64 y z)) (/.f64 (/.f64 (/.f64 y (-.f64 z y)) 1/2) (/.f64 (-.f64 z y) y)))
(/.f64 (/.f64 (+.f64 y y) (-.f64 y z)) (/.f64 (*.f64 (/.f64 y (-.f64 y z)) -2) (/.f64 (-.f64 z y) y)))
(.f64 4 (/.f64 (-.f64 y z) (.f64 y 4)))
(/.f64 (-.f64 y z) y)
(*.f64 4 (/.f64 (/.f64 (-.f64 y z) y) 4))
(/.f64 (-.f64 y z) y)
(.f64 (.f64 (/.f64 (-.f64 y z) y) 4) 1/4)
(/.f64 (-.f64 y z) y)
(.f64 (.f64 (-.f64 y z) 8) (/.f64 1 (*.f64 y 8)))
(/.f64 (*.f64 (-.f64 y z) 1) y)
(.f64 (.f64 (-.f64 y z) -2) (/.f64 1/2 (neg.f64 y)))
(.f64 (-.f64 y z) (.f64 -2 (/.f64 1/2 (neg.f64 y))))
(.f64 (-.f64 y z) (.f64 -2 (/.f64 -1/2 y)))
(.f64 (.f64 (-.f64 y z) -2) (/.f64 1 (*.f64 y -2)))
(.f64 (.f64 (-.f64 y z) -2) (/.f64 1/2 (neg.f64 y)))
(.f64 (-.f64 y z) (.f64 -2 (/.f64 1/2 (neg.f64 y))))
(.f64 (-.f64 y z) (.f64 -2 (/.f64 -1/2 y)))
(.f64 (.f64 (-.f64 y z) -2) (/.f64 1 (neg.f64 (+.f64 y y))))
(.f64 (.f64 (-.f64 y z) -2) (/.f64 1/2 (neg.f64 y)))
(.f64 (-.f64 y z) (.f64 -2 (/.f64 1/2 (neg.f64 y))))
(.f64 (-.f64 y z) (.f64 -2 (/.f64 -1/2 y)))
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 y (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y))))
(*.f64 (/.f64 -1 (-.f64 z y)) (/.f64 y (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y))))))
(.f64 (/.f64 -1 (-.f64 z y)) (/.f64 (/.f64 (-.f64 z y) (/.f64 y (.f64 (-.f64 z y) y))) y))
(.f64 (/.f64 1 (-.f64 y z)) (/.f64 (+.f64 y y) (.f64 2 (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y)))))
(*.f64 (/.f64 -1 (-.f64 z y)) (/.f64 y (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y))))))
(.f64 (/.f64 -1 (-.f64 z y)) (/.f64 (/.f64 (-.f64 z y) (/.f64 y (.f64 (-.f64 z y) y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 z y) -2) y))
(.f64 1/2 (.f64 -2 (/.f64 (-.f64 z y) y)))
(.f64 1/2 (.f64 (-.f64 z y) (/.f64 -2 y)))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 z y) -2))
(.f64 (-.f64 z y) (.f64 -2 (/.f64 1/2 y)))
(.f64 (.f64 (-.f64 z y) -2) (/.f64 1/2 y))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 (-.f64 z y) -2))
(.f64 (/.f64 (-.f64 z y) -2) (.f64 2 (/.f64 1 y)))
(.f64 2 (.f64 (/.f64 1 y) (/.f64 (-.f64 z y) -2)))
(*.f64 (/.f64 (-.f64 z y) y) -1)
(/.f64 (-.f64 y z) y)
(*.f64 (/.f64 1/2 (-.f64 y z)) (/.f64 (+.f64 y y) (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y))))
(*.f64 (/.f64 1/2 (-.f64 y z)) (/.f64 (+.f64 y y) (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y))))))
(.f64 (/.f64 1/2 (-.f64 y z)) (/.f64 (-.f64 z y) (.f64 y (/.f64 (/.f64 y (-.f64 z y)) (+.f64 y y)))))
(.f64 (.f64 y (/.f64 1/2 (-.f64 y z))) (/.f64 2 (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y))))
(.f64 (.f64 y (/.f64 1/2 (-.f64 y z))) (/.f64 2 (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y))))))
(.f64 (.f64 y (/.f64 1/2 (-.f64 y z))) (/.f64 (-.f64 z y) (.f64 y (/.f64 y (.f64 (-.f64 z y) 2)))))
(.f64 (.f64 y (/.f64 1/2 (-.f64 y z))) (/.f64 (-.f64 z y) (*.f64 y (/.f64 (/.f64 y (-.f64 z y)) 2))))
(*.f64 (/.f64 2 y) (/.f64 (-.f64 z y) -2))
(*.f64 (/.f64 (-.f64 z y) -2) (/.f64 2 y))
(.f64 (/.f64 (-.f64 z y) (.f64 y -2)) 2)
(.f64 2 (/.f64 (-.f64 z y) (.f64 y -2)))
(*.f64 2 (/.f64 (-.f64 y z) (+.f64 y y)))
(*.f64 (/.f64 1 (-.f64 z y)) (/.f64 (neg.f64 y) (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y))))
(*.f64 (/.f64 -1 (-.f64 y z)) (/.f64 (neg.f64 y) (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y))))))
(.f64 (/.f64 -1 (-.f64 y z)) (/.f64 (-.f64 z y) (.f64 y (/.f64 (/.f64 y (-.f64 z y)) (neg.f64 y)))))
(.f64 (/.f64 -1 (-.f64 y z)) (/.f64 (-.f64 z y) (.f64 y (/.f64 (/.f64 y (-.f64 y z)) y))))
(.f64 (/.f64 2 (-.f64 y z)) (/.f64 y (.f64 2 (/.f64 (/.f64 y (-.f64 z y)) (/.f64 (-.f64 z y) y)))))
(.f64 (/.f64 2 (-.f64 y z)) (/.f64 y (.f64 2 (/.f64 y (/.f64 (-.f64 z y) (/.f64 y (-.f64 z y)))))))
(*.f64 (/.f64 2 (-.f64 y z)) (/.f64 (/.f64 (-.f64 z y) y) (/.f64 (/.f64 y (-.f64 z y)) (/.f64 y 2))))
(*.f64 (/.f64 (-.f64 z y) -2) (/.f64 2 y))
(.f64 1/4 (.f64 (/.f64 (-.f64 y z) y) 4))
(/.f64 (-.f64 y z) y)
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (-.f64 z y) -4))
(.f64 (-.f64 z y) (.f64 -4 (/.f64 1 (*.f64 y 4))))
(.f64 (-.f64 z y) (.f64 -4 (/.f64 1/4 y)))
(*.f64 (/.f64 -1 y) (-.f64 z y))
(/.f64 (-.f64 y z) y)
(pow.f64 (/.f64 (-.f64 y z) y) 1)
(/.f64 (-.f64 y z) y)
(neg.f64 (/.f64 (-.f64 z y) y))
(/.f64 (-.f64 y z) y)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.0b	(*.f64 (-.f64 y z) (/.f64 x y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1760×	`rational.json-1`
1760×	`rational.json-2`
1760×	`rational.json-4`
1760×	`rational.json-3`
1752×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	54	19
2	138	19
3	350	19
4	919	19
5	4437	19

Stop Event

1×	node limit

Counts

1 → 144

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 y z) (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 y z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 y z) (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (.f64 (/.f64 y (-.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (.f64 -1 (/.f64 y (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 1 (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (.f64 (/.f64 1 (-.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (.f64 1/2 (/.f64 2 (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 y z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y x) (-.f64 y 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8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -2) (/.f64 1 (-.f64 y z))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -2) (/.f64 1 (-.f64 y z))) (neg.f64 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 x y) 4)) (/.f64 1 (-.f64 y z))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 x 8)) (/.f64 1 (-.f64 y z))) (*.f64 2 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (neg.f64 y)) (/.f64 1 (-.f64 y z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 x)) (/.f64 1 (-.f64 y z))) (*.f64 2 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 x)) (/.f64 1 (-.f64 y z))) (*.f64 2 (neg.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 x)) (/.f64 1 (-.f64 y z))) (neg.f64 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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/.f64 (neg.f64 (/.f64 (-.f64 y z) y)) (-.f64 0 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 1)))))

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1646×	`rational.json-simplify-35`
1516×	`rational.json-simplify-2`
978×	`rational.json-simplify-61`
824×	`rational.json-simplify-51`
746×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	3882
1	1413	3812
2	5465	3756

Stop Event

1×	node limit

Counts

180 → 172

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
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(/.f64 (neg.f64 (/.f64 (-.f64 y z) y)) (-.f64 0 (/.f64 1 x)))
(pow.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 1)

Outputs
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(/.f64 (/.f64 (+.f64 x x) (/.f64 y (-.f64 z y))) -2)
(*.f64 x (/.f64 (-.f64 y z) y))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 y (-.f64 z y))) -4)
(*.f64 x (/.f64 (-.f64 y z) y))
(/.f64 (/.f64 (*.f64 4 (neg.f64 x)) (/.f64 y (-.f64 z y))) 4)
(*.f64 x (/.f64 (-.f64 y z) y))
(/.f64 (/.f64 (-.f64 y z) (/.f64 1 x)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(/.f64 (/.f64 (-.f64 y z) 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 x (/.f64 (-.f64 y z) y))
(/.f64 (/.f64 (-.f64 y z) (neg.f64 y)) (/.f64 -1 x))
(*.f64 x (/.f64 (-.f64 y z) y))
(/.f64 (neg.f64 (.f64 (-.f64 y z) 2)) (-.f64 0 (.f64 y (/.f64 2 x))))
(*.f64 x (/.f64 (-.f64 y z) y))
(/.f64 (neg.f64 (/.f64 (-.f64 y z) y)) (-.f64 0 (/.f64 1 x)))
(*.f64 x (/.f64 (-.f64 y z) y))
(pow.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 1)
(*.f64 x (/.f64 (-.f64 y z) y))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	13.3b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`rational.json-simplify-35`
1304×	`rational.json-1`
1304×	`rational.json-2`
1304×	`rational.json-4`
1304×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	56	32
2	158	32
3	452	32
4	1418	32
5	3926	32

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 y z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 x (-.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (-.f64 y z)) (+.f64 y y)) (/.f64 (*.f64 x (-.f64 y z)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 x (-.f64 z y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (-.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 2 y) (*.f64 (-.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 2 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y z) (*.f64 1/2 (/.f64 (+.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y z) (*.f64 (/.f64 2 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y z) (*.f64 (/.f64 (+.f64 x x) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 y z)) (*.f64 (*.f64 2 (/.f64 1 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 y z)) (*.f64 (/.f64 2 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 y z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (-.f64 y z) 2)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (-.f64 y z) 2)) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (-.f64 y z) 2)) (*.f64 (*.f64 (/.f64 1 y) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (-.f64 y z)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (-.f64 y z) (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x (/.f64 1/2 y)) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (*.f64 x (-.f64 y z)) (+.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (-.f64 y z) 1/2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x 1/2) (/.f64 (-.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (*.f64 x (-.f64 y z)) 2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 y z) (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (*.f64 (-.f64 y z) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x (-.f64 y z)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (-.f64 y z) y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x y) (*.f64 (-.f64 y z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (-.f64 y z) (/.f64 2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (-.f64 y z) 4)) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (-.f64 y z) 4)) (*.f64 (/.f64 1 (*.f64 y 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (-.f64 y z) 4)) (*.f64 1/4 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (-.f64 y z) 4)) (*.f64 1/2 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) 2) (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) 2) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) 2) (*.f64 (/.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (-.f64 y z) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 (-.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (-.f64 y z) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z y) (*.f64 -1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 z y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 z y)) (*.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 -1 y) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x (-.f64 z y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 x (neg.f64 y)) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (*.f64 x (-.f64 z y)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) (/.f64 2 y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) y) (*.f64 (-.f64 y z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 y)) (*.f64 (-.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) (/.f64 1/2 y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x (*.f64 (-.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 (-.f64 y z) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) 1/2) (/.f64 (+.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 (-.f64 y z) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 x (*.f64 (-.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 z y)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 y z)) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 x (*.f64 (-.f64 y z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (*.f64 x (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (-.f64 z y)) y))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 x (-.f64 y z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (-.f64 y z)) 2) (/.f64 (*.f64 x (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (-.f64 y z)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (-.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (-.f64 y z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (-.f64 y z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 y z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (-.f64 z y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (-.f64 y z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (*.f64 2 (-.f64 z y)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (-.f64 y z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (-.f64 z y)))))))

simplify129.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1360×	`rational.json-simplify-53`
1296×	`rational.json-simplify-2`
916×	`rational.json-simplify-55`
682×	`rational.json-simplify-35`
644×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2964
1	455	2922
2	1002	2814
3	2050	2814
4	4515	2814
5	6947	2814

Stop Event

1×	node limit

Counts

162 → 107

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(*.f64 (-.f64 y z) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 0)
(+.f64 0 (*.f64 (-.f64 y z) (/.f64 x y)))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 x (-.f64 z y)) y)))
(+.f64 (/.f64 (.f64 x (-.f64 y z)) (+.f64 y y)) (/.f64 (.f64 x (-.f64 y z)) (+.f64 y y)))
(-.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 0)
(-.f64 0 (/.f64 (*.f64 x (-.f64 z y)) y))
(*.f64 x (/.f64 (-.f64 y z) y))
(.f64 x (.f64 (.f64 2 (/.f64 1 y)) (.f64 (-.f64 y z) 1/2)))
(.f64 x (.f64 (/.f64 2 y) (*.f64 (-.f64 y z) 1/2)))
(.f64 x (.f64 (*.f64 (-.f64 y z) (/.f64 2 y)) 1/2))
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (-.f64 y z) (.f64 1/2 (/.f64 (+.f64 x x) y)))
(.f64 (-.f64 y z) (.f64 (/.f64 2 y) (*.f64 x 1/2)))
(.f64 (-.f64 y z) (.f64 (/.f64 (+.f64 x x) y) 1/2))
(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
(.f64 (.f64 x (-.f64 y z)) (.f64 (.f64 2 (/.f64 1 y)) 1/2))
(.f64 (.f64 x (-.f64 y z)) (*.f64 (/.f64 2 y) 1/2))
(.f64 (.f64 (-.f64 y z) (/.f64 x y)) 1)
(.f64 1 (.f64 (-.f64 y z) (/.f64 x y)))
(.f64 (.f64 x (*.f64 (-.f64 y z) 2)) (/.f64 1/2 y))
(.f64 (.f64 x (.f64 (-.f64 y z) 2)) (.f64 (/.f64 1 y) 1/2))
(.f64 (.f64 x (.f64 (-.f64 y z) 2)) (.f64 (*.f64 (/.f64 1 y) 1/2) 1))
(*.f64 (/.f64 x y) (-.f64 y z))
(.f64 2 (/.f64 (.f64 x (-.f64 y z)) (+.f64 y y)))
(.f64 2 (.f64 (*.f64 (-.f64 y z) (/.f64 1/2 y)) x))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 y)) (-.f64 y z)))
(.f64 2 (.f64 (/.f64 (*.f64 x (-.f64 y z)) (+.f64 y y)) 1))
(.f64 2 (.f64 (*.f64 (-.f64 y z) 1/2) (/.f64 x y)))
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 (-.f64 y z) y)))
(.f64 2 (.f64 (/.f64 (*.f64 x (-.f64 y z)) 2) (/.f64 1 y)))
(.f64 2 (.f64 (-.f64 y z) (*.f64 x (/.f64 1/2 y))))
(.f64 2 (.f64 x (*.f64 (-.f64 y z) (/.f64 1/2 y))))
(.f64 2 (.f64 (*.f64 x (-.f64 y z)) (/.f64 1/2 y)))
(.f64 2 (.f64 (/.f64 (-.f64 y z) y) (*.f64 x 1/2)))
(.f64 2 (.f64 (/.f64 x y) (*.f64 (-.f64 y z) 1/2)))
(.f64 2 (.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 1/2))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 x (-.f64 y z))))
(.f64 (.f64 x (*.f64 (-.f64 y z) (/.f64 2 y))) 1/2)
(.f64 (.f64 x (.f64 (-.f64 y z) 4)) (/.f64 1 (.f64 y 4)))
(.f64 (.f64 x (.f64 (-.f64 y z) 4)) (.f64 (/.f64 1 (*.f64 y 4)) 1))
(.f64 (.f64 x (.f64 (-.f64 y z) 4)) (.f64 1/4 (/.f64 1 y)))
(.f64 (.f64 x (.f64 (-.f64 y z) 4)) (.f64 1/2 (/.f64 1/2 y)))
(.f64 (.f64 (-.f64 y z) 2) (*.f64 x (/.f64 1/2 y)))
(.f64 (.f64 (-.f64 y z) 2) (*.f64 1/2 (/.f64 x y)))
(.f64 (.f64 (-.f64 y z) 2) (*.f64 (/.f64 x y) 1/2))
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(.f64 (.f64 x (.f64 (-.f64 y z) 4)) (.f64 1/2 (/.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 (-.f64 y z) 2) (*.f64 x (/.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 (-.f64 y z) 2) (*.f64 1/2 (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 (-.f64 y z) 2) (*.f64 (/.f64 x y) 1/2))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (-.f64 y z) (/.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (-.f64 y z) y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (/.f64 (-.f64 y z) y) 1/2))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (-.f64 z y) (.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 (/.f64 (-.f64 y z) y) x)
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 x (-.f64 y z)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 x (-.f64 z y)) (/.f64 -1 y))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 x (-.f64 z y)) (*.f64 (/.f64 -1 y) 1))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 y) (-.f64 y z)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 x (-.f64 z y)) y))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 -1 (.f64 (/.f64 x (neg.f64 y)) (-.f64 y z)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 -1 (.f64 (/.f64 (*.f64 x (-.f64 z y)) y) 1))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 (-.f64 y z) (/.f64 2 y)) (*.f64 x 1/2))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (/.f64 (+.f64 x x) y) (.f64 (-.f64 y z) 1/2))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 x (/.f64 1/2 y)) (*.f64 (-.f64 y z) 2))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 (-.f64 y z) (/.f64 1/2 y)) (+.f64 x x))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (/.f64 1/2 y) (.f64 x (*.f64 (-.f64 y z) 2)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 x 1/2) (*.f64 (-.f64 y z) (/.f64 2 y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 (-.f64 y z) 1/2) (/.f64 (+.f64 x x) y))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 1/2 (.f64 x (*.f64 (-.f64 y z) (/.f64 2 y))))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 (/.f64 1 y) 1/2) (.f64 x (.f64 (-.f64 y z) 2)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (/.f64 (.f64 x (-.f64 z y)) y) -1)
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (/.f64 (.f64 x (-.f64 y z)) (+.f64 y y)) 2)
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (/.f64 1 (.f64 y 4)) (.f64 x (.f64 (-.f64 y z) 4)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (/.f64 -1 y) (.f64 x (-.f64 z y)))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(pow.f64 (*.f64 (-.f64 y z) (/.f64 x y)) 1)
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(neg.f64 (/.f64 (*.f64 x (-.f64 z y)) y))
(/.f64 (*.f64 (-.f64 y z) x) y)
(*.f64 (-.f64 y z) (/.f64 x y))
(+.f64 (*.f64 x (-.f64 y z)) 0)
(*.f64 (-.f64 y z) x)
(+.f64 0 (*.f64 x (-.f64 y z)))
(*.f64 (-.f64 y z) x)
(+.f64 -1 (-.f64 (*.f64 x (-.f64 y z)) -1))
(*.f64 (-.f64 y z) x)
(+.f64 (/.f64 (.f64 x (-.f64 y z)) 2) (/.f64 (.f64 x (-.f64 y z)) 2))
(*.f64 (-.f64 y z) x)
(+.f64 (-.f64 (*.f64 x (-.f64 y z)) -1) -1)
(*.f64 (-.f64 y z) x)
(-.f64 (*.f64 x (-.f64 y z)) 0)
(*.f64 (-.f64 y z) x)
(-.f64 0 (*.f64 x (-.f64 z y)))
(*.f64 (-.f64 y z) x)
(/.f64 (*.f64 x (-.f64 y z)) 1)
(*.f64 (-.f64 y z) x)
(/.f64 (.f64 x (.f64 (-.f64 y z) 2)) 2)
(*.f64 (-.f64 y z) x)
(/.f64 (.f64 x (.f64 (-.f64 y z) 4)) 4)
(*.f64 (-.f64 y z) x)
(/.f64 (*.f64 x (-.f64 z y)) -1)
(*.f64 (-.f64 y z) x)
(/.f64 (.f64 (.f64 x (-.f64 y z)) 8) 8)
(*.f64 (-.f64 y z) x)
(/.f64 (.f64 x (.f64 2 (-.f64 z y))) -2)
(*.f64 (-.f64 y z) x)
(/.f64 (.f64 2 (.f64 (*.f64 x (-.f64 y z)) 8)) 16)
(*.f64 (-.f64 y z) x)
(/.f64 (.f64 2 (.f64 x (*.f64 2 (-.f64 z y)))) -4)
(*.f64 (-.f64 y z) x)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 y z)) 8))) 32)
(*.f64 (-.f64 y z) x)
(pow.f64 (*.f64 x (-.f64 y z)) 1)
(*.f64 (-.f64 y z) x)
(neg.f64 (*.f64 x (-.f64 z y)))
(*.f64 (-.f64 y z) x)

eval105.0ms (0.9%)

Compiler: Compiled 6813 to 2936 computations (56.9% saved)

prune92.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	529	8	537
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	531	9	540

Error

Counts

540 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	2.7b	(/.f64 (/.f64 (-.f64 z y) y) (/.f64 -1 x))
	11.7b	(/.f64 (-.f64 y z) (/.f64 y x))
▶	42.3b	(/.f64 (*.f64 z (neg.f64 x)) y)
▶	34.7b	(/.f64 (*.f64 y x) y)
▶	2.6b	(/.f64 x (/.f64 y (-.f64 y z)))
✓	2.6b	(*.f64 x (/.f64 (-.f64 y z) y))
▶	42.6b	(*.f64 x (neg.f64 (/.f64 z y)))
▶	42.7b	(neg.f64 (*.f64 z (/.f64 x y)))
	23.0b	x

Compiler

Compiled 148 to 95 computations (35.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 y z))
✓	2.4b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`rational.json-1`
1882×	`rational.json-2`
1882×	`rational.json-3`
1658×	`rational.json-simplify-35`
920×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	62	32
2	213	32
3	701	32
4	2665	32
5	6788	32

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (-.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (-.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (-.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) 2) (*.f64 (/.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (/.f64 y (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (-.f64 y z) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (+.f64 y y)) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (/.f64 y (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 y (/.f64 2 (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 y z) (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 x y) 1/2) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (-.f64 y z))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) (*.f64 x (/.f64 2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (-.f64 y z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) 4) (/.f64 1 (/.f64 4 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 z y) 2) (/.f64 1 (*.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 y (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 (/.f64 1 (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) y) (/.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (-.f64 y z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 y z) (*.f64 x (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 y (-.f64 y z))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1/2) (*.f64 (-.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 x y)) (-.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 y z) y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y (-.f64 z y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 (-.f64 y z))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (-.f64 y z))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) (/.f64 1 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 x)) (/.f64 (-.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y (/.f64 2 (-.f64 y z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) (*.f64 y (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (-.f64 y z)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 4 (/.f64 x y))) (*.f64 (-.f64 y z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y x) -2)) (*.f64 (-.f64 z y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (-.f64 z y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (/.f64 y (-.f64 y z))) (/.f64 1/2 (/.f64 y (-.f64 y z)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 y (-.f64 z y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (-.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (-.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (-.f64 y z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (-.f64 y z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 (-.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (-.f64 y z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 y z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (-.f64 y z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (/.f64 2 (*.f64 (-.f64 z y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 y z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (-.f64 y z))) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y (/.f64 2 (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 y z)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 z y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 y z)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (-.f64 y z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 y (-.f64 y z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (-.f64 y z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 y z) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (-.f64 z y) 4)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (-.f64 y z)) (/.f64 1/2 (-.f64 y z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (-.f64 z y)))))))

simplify176.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

988×	`rational.json-simplify-2`
976×	`rational.json-simplify-41`
712×	`rational.json-simplify-51`
684×	`rational.json-simplify-1`
614×	`rational.json-simplify-39`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	198	3216
1	427	3078
2	959	3060
3	2906	3042
4	4989	3036
5	7362	3036

Stop Event

1×	node limit

Counts

144 → 129

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 (-.f64 y z) x) y)
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) y)) x)
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(*.f64 -1 (/.f64 y z))
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1
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1
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1
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(*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 y (-.f64 y z))))
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(.f64 (.f64 (-.f64 y z) (*.f64 x (/.f64 2 y))) 1/2)
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(*.f64 (/.f64 1/2 (/.f64 y (-.f64 y z))) (+.f64 x x))
(.f64 (.f64 (/.f64 x y) 1/2) (*.f64 (-.f64 y z) 2))
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(*.f64 (/.f64 x (/.f64 y (-.f64 z y))) -1)
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(.f64 (/.f64 (.f64 x (/.f64 (-.f64 y z) y)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y (-.f64 y z)) 4)) (*.f64 x 4))
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(*.f64 (/.f64 1 (/.f64 y (-.f64 z y))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 y (-.f64 y z))) (/.f64 1/2 (/.f64 y (-.f64 y z)))) x)
(pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 1)
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(*.f64 (+.f64 (/.f64 1/2 (-.f64 y z)) (/.f64 1/2 (-.f64 y z))) y)
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Outputs
(/.f64 (*.f64 (-.f64 y z) x) y)
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(*.f64 -1 (+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (/.f64 (pow.f64 y 4) (pow.f64 z 4))) (+.f64 (/.f64 y z) (/.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(*.f64 -1 (+.f64 (/.f64 y z) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 (pow.f64 y 3) (pow.f64 z 3))))))
1
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(*.f64 -1 (+.f64 (/.f64 y z) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (/.f64 (pow.f64 y 3) (pow.f64 z 3))))))
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(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (/.f64 (-.f64 y z) y) 1/2))
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(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (+.f64 y y)) (-.f64 y z)))
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(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 (-.f64 z y) (neg.f64 (/.f64 x y)))
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(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 2 (/.f64 (-.f64 y z) (.f64 y (/.f64 2 x))))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 2 (/.f64 (.f64 x (/.f64 (-.f64 y z) y)) 2))
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(*.f64 (-.f64 y z) (/.f64 x y))
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(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 (-.f64 y z) (*.f64 x (/.f64 2 y))) 1/2)
(.f64 (-.f64 y z) (.f64 (*.f64 x (/.f64 2 y)) 1/2))
(.f64 x (.f64 (*.f64 (-.f64 y z) (/.f64 2 y)) 1/2))
(.f64 (-.f64 y z) (.f64 x (*.f64 (/.f64 2 y) 1/2)))
(.f64 (-.f64 y z) (.f64 x (*.f64 1/2 (/.f64 2 y))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (-.f64 y z)) 4)))
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(.f64 x (.f64 4 (/.f64 (/.f64 (-.f64 y z) y) 4)))
(.f64 x (.f64 4 (/.f64 (-.f64 y z) (*.f64 y 4))))
(.f64 4 (/.f64 x (.f64 4 (/.f64 y (-.f64 y z)))))
(.f64 (.f64 (-.f64 y z) 4) (/.f64 1 (/.f64 4 (/.f64 x y))))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (.f64 (-.f64 z y) 2) (/.f64 1 (*.f64 (/.f64 y x) -2)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 y (-.f64 z y))))
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(*.f64 (-.f64 y z) (/.f64 x y))
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(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 (-.f64 y z))))
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(*.f64 (-.f64 y z) (/.f64 x y))
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(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 x y))
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(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (-.f64 y z))))
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(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 1/2 (.f64 (-.f64 y z) (*.f64 x (/.f64 2 y))))
(.f64 (-.f64 y z) (.f64 (*.f64 x (/.f64 2 y)) 1/2))
(.f64 x (.f64 (*.f64 (-.f64 y z) (/.f64 2 y)) 1/2))
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(.f64 (-.f64 y z) (.f64 x (*.f64 1/2 (/.f64 2 y))))
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(.f64 (.f64 (/.f64 (-.f64 y z) y) 1/2) (+.f64 x x))
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(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 (/.f64 x (/.f64 y (-.f64 z y))) -1)
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(*.f64 (-.f64 y z) (/.f64 x y))
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(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (/.f64 (-.f64 y z) (.f64 y (/.f64 2 x))) 2)
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(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (/.f64 (.f64 x (/.f64 (-.f64 y z) y)) 2) 2)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (/.f64 1 (.f64 (/.f64 y (-.f64 y z)) 4)) (*.f64 x 4))
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(.f64 x (.f64 4 (/.f64 (-.f64 y z) (*.f64 y 4))))
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(*.f64 (-.f64 y z) (/.f64 x y))
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(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 1)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 x y))
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(+.f64 (/.f64 y (-.f64 y z)) 0)
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(-.f64 (/.f64 y (-.f64 y z)) 0)
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(*.f64 (neg.f64 y) (/.f64 1 (-.f64 z y)))
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(*.f64 2 (/.f64 (/.f64 y (-.f64 y z)) 2))
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(.f64 (.f64 (/.f64 y (-.f64 y z)) 4) 1/4)
(/.f64 y (-.f64 y z))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (-.f64 y z) 4)))
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(.f64 (.f64 y -2) (/.f64 2 (*.f64 (-.f64 z y) 4)))
(/.f64 y (-.f64 y z))
(*.f64 (/.f64 1 (-.f64 y z)) y)
(/.f64 y (-.f64 y z))
(*.f64 (/.f64 y (-.f64 z y)) -1)
(/.f64 y (-.f64 y z))
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(*.f64 (/.f64 1/2 (-.f64 y z)) (+.f64 y y))
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(*.f64 (/.f64 1 (-.f64 z y)) (neg.f64 y))
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(.f64 (.f64 (/.f64 1 (-.f64 y z)) 1/2) (+.f64 y y))
(/.f64 y (-.f64 y z))
(.f64 (/.f64 y (.f64 (-.f64 y z) 2)) 2)
(/.f64 y (-.f64 y z))
(.f64 1/4 (.f64 (/.f64 y (-.f64 y z)) 4))
(/.f64 y (-.f64 y z))
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (-.f64 y z))))
(/.f64 y (-.f64 y z))
(*.f64 (/.f64 (/.f64 y (-.f64 y z)) 2) 2)
(/.f64 y (-.f64 y z))
(.f64 (/.f64 1 (.f64 (-.f64 y z) 4)) (*.f64 y 4))
(/.f64 y (-.f64 y z))
(.f64 (/.f64 2 (.f64 (-.f64 z y) 4)) (*.f64 y -2))
(/.f64 y (-.f64 y z))
(*.f64 (+.f64 (/.f64 1/2 (-.f64 y z)) (/.f64 1/2 (-.f64 y z))) y)
(/.f64 y (-.f64 y z))
(pow.f64 (/.f64 y (-.f64 y z)) 1)
(/.f64 y (-.f64 y z))
(neg.f64 (/.f64 y (-.f64 z y)))
(/.f64 y (-.f64 y z))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	18.1b	(/.f64 (*.f64 y x) y)

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite147.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`rational.json-1`
1430×	`rational.json-2`
1430×	`rational.json-4`
1430×	`rational.json-3`
1418×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	44	13
2	135	1
3	395	1
4	1446	1
5	4523	1

Stop Event

1×	node limit

Counts

1 → 280

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 0 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 y x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 1 (/.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 2 (/.f64 1 y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule 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simplify179.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1470×	`rational.json-simplify-35`
1096×	`rational.json-simplify-44`
994×	`rational.json-simplify-47`
960×	`rational.json-simplify-54`
872×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	528	8532
1	1319	7732
2	6122	7472

Stop Event

1×	node limit

Counts

304 → 454

Calls

Call 1

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.5b	(*.f64 z (/.f64 x y))

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`rational.json-1`
1672×	`rational.json-2`
1672×	`rational.json-4`
1672×	`rational.json-3`
1664×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	126	13
3	317	13
4	851	13
5	4202	13

Stop Event

1×	node limit

Counts

1 → 133

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 -1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (*.f64 1/2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 y (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 (/.f64 y z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 -2 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 y x) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 y (*.f64 z x)) (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 y)) (/.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 y)) (+.f64 (/.f64 1 z) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 y)) (*.f64 2 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (+.f64 (*.f64 y (/.f64 2 z)) (*.f64 y (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (/.f64 (*.f64 y 4) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 2 (*.f64 y (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 4 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 (*.f64 y 4) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 (+.f64 y y) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 -4 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (/.f64 4 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z z) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 x (/.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (*.f64 (/.f64 1 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 y y)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y x) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 y (neg.f64 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (/.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 x)) (*.f64 (*.f64 2 (*.f64 y (/.f64 (/.f64 y x) x))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 x)) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 (/.f64 y x) (/.f64 2 z)) (*.f64 (/.f64 y x) (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (*.f64 y 4) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (/.f64 (*.f64 y 4) x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 y (/.f64 2 x)) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 4) (+.f64 (/.f64 2 z) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 4) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 4) (*.f64 4 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 4) (*.f64 2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (/.f64 (*.f64 y 8) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (*.f64 8 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (*.f64 (*.f64 y 8) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (*.f64 4 (*.f64 y (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z 4) (/.f64 (*.f64 y 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 y (+.f64 x x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 y x) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (+.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (/.f64 (neg.f64 (+.f64 y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (/.f64 (*.f64 y -2) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 (*.f64 y -2) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 (neg.f64 (+.f64 y y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 (neg.f64 y) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 2 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 x (/.f64 2 y)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x y) 4)) (*.f64 8 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 8)) (*.f64 (*.f64 2 (*.f64 y 8)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z 4)) (+.f64 (/.f64 (*.f64 y 4) x) (/.f64 (*.f64 y 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z 4)) (*.f64 (/.f64 y x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x y) (*.f64 z 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (+.f64 y y)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 4) x) (*.f64 (*.f64 2 (*.f64 y (/.f64 (/.f64 y x) x))) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 y)) (*.f64 -1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (/.f64 2 y)) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1/2 y)) (/.f64 1 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1/2 y)) (*.f64 1/2 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z 1/2) (/.f64 y (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 x (/.f64 1/2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (*.f64 (*.f64 2 (*.f64 y -2)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (*.f64 (*.f64 2 (neg.f64 (+.f64 y y))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (*.f64 (neg.f64 (*.f64 y 4)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (*.f64 4 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -2)) (*.f64 y (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 z y) (/.f64 z y)) (+.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 x y) (*.f64 z 4))) (*.f64 2 (*.f64 (/.f64 x y) (*.f64 z 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 z) (neg.f64 z)) (+.f64 (neg.f64 (/.f64 y x)) (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 z z) y) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 z 4)) (/.f64 y x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) (/.f64 y z)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 1 z)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 1 z)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 1 z)) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (/.f64 1 z)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 y) (/.f64 1 z)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) (/.f64 1 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y x) (/.f64 1 z)) (*.f64 y (/.f64 (/.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (/.f64 1 z)) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 2 x)) (/.f64 1 z)) (*.f64 2 (*.f64 y (/.f64 (/.f64 y x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 1 z)) (/.f64 (*.f64 y 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) (/.f64 1 z)) (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -2) (/.f64 1 z)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -2) (/.f64 1 z)) (neg.f64 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 x y) 4)) (/.f64 1 z)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 x 8)) (/.f64 1 z)) (*.f64 2 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (neg.f64 y)) (/.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (neg.f64 x) 4) (/.f64 1 z)) (*.f64 2 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (neg.f64 x) 4) (/.f64 1 z)) (*.f64 2 (neg.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (neg.f64 x) 4) (/.f64 1 z)) (neg.f64 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 x -2)) (/.f64 1 z)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 2 z)) (/.f64 y (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 2 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 2 z)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (/.f64 2 z)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 2 x)) (/.f64 2 z)) (*.f64 y (/.f64 (/.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 2 z)) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -2) (/.f64 2 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 y 4) x) (/.f64 2 z)) (*.f64 2 (*.f64 y (/.f64 (/.f64 y x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x (/.f64 2 y)) (/.f64 y x)) (/.f64 2 z)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 (neg.f64 y) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 (neg.f64 y) z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (/.f64 (neg.f64 y) z)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (neg.f64 x) 4) (/.f64 (neg.f64 y) z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (/.f64 1 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z 1/2) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (neg.f64 y)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 z z)) (-.f64 0 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 z y)) (-.f64 0 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 z)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))))

simplify961.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational.json-simplify-43`
1500×	`rational.json-simplify-35`
1298×	`rational.json-simplify-2`
724×	`rational.json-simplify-61`
664×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	2605
1	1280	2557
2	4526	2545
3	7981	2545

Stop Event

1×	node limit

Counts

169 → 154

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
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(-.f64 (*.f64 z (/.f64 x y)) 0)
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(/.f64 x (*.f64 -1 (/.f64 (neg.f64 y) z)))
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(/.f64 (/.f64 x y) (*.f64 1/2 (/.f64 2 z)))
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(/.f64 (neg.f64 (neg.f64 z)) (/.f64 y x))
(pow.f64 (*.f64 z (/.f64 x y)) 1)

Outputs
(/.f64 (*.f64 z x) y)
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(/.f64 z (.f64 2 (.f64 (.f64 y (/.f64 y (.f64 x x))) (/.f64 1/2 (/.f64 y x)))))
(/.f64 (/.f64 (.f64 (.f64 x (/.f64 2 y)) (/.f64 y x)) (/.f64 2 z)) (/.f64 y x))
(/.f64 (.f64 (/.f64 y x) (.f64 x (/.f64 2 y))) (*.f64 (/.f64 y x) (/.f64 2 z)))
(.f64 (.f64 z (/.f64 x y)) (/.f64 (/.f64 y x) (/.f64 y x)))
(*.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (/.f64 x (/.f64 (neg.f64 y) z)) -1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (/.f64 (+.f64 x x) (/.f64 (neg.f64 y) z)) -2)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 (neg.f64 y) z)) -4)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 (neg.f64 x) 4) (/.f64 (neg.f64 y) z)) 4)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (/.f64 z (/.f64 1 x)) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (/.f64 z 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (/.f64 z (neg.f64 y)) (/.f64 -1 x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (neg.f64 (+.f64 z z)) (-.f64 0 (*.f64 y (/.f64 2 x))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (neg.f64 (/.f64 z y)) (-.f64 0 (/.f64 1 x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(pow.f64 (*.f64 z (/.f64 x y)) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.2b	(*.f64 x (neg.f64 (/.f64 z y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`rational.json-1`
1824×	`rational.json-2`
1008×	`rational.json-4`
1008×	`rational.json-3`
998×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	64	17
2	173	17
3	486	17
4	1490	17
5	3884	17
6	7422	17

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 z (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (/.f64 z (neg.f64 y))) 2) (/.f64 (*.f64 x (/.f64 z (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 z (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 2 (*.f64 (/.f64 (neg.f64 y) z) 4)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 z y) (*.f64 x -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 y (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 x (/.f64 z y))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 y (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (/.f64 z (neg.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 y)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 -1/2 y)) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 y y)) (/.f64 -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 2) (/.f64 y (*.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (/.f64 z (neg.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1/2) (*.f64 y (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) 2) (/.f64 y (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) (/.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) 1/2) (*.f64 y (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -2)) (*.f64 y (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 -1/2 y))) (/.f64 -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x y)) (-.f64 0 (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (+.f64 y y))) (-.f64 0 (/.f64 -1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x 2)) (-.f64 0 (/.f64 y (*.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x 1/2)) (*.f64 y (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (neg.f64 x) 2)) (-.f64 0 (/.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (neg.f64 x) (/.f64 1 z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (neg.f64 x) 1/2)) (*.f64 y (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (neg.f64 y))) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 z y)))))))

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1408×	`rational.json-simplify-2`
1272×	`rational.json-simplify-53`
1206×	`rational.json-simplify-51`
1158×	`rational.json-simplify-35`
988×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	1326
1	432	1326
2	1279	1326
3	3751	1326
4	6291	1326

Stop Event

1×	node limit

Counts

78 → 46

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (*.f64 x (/.f64 z (neg.f64 y))) 0)
(+.f64 0 (*.f64 x (/.f64 z (neg.f64 y))))
(+.f64 -1 (-.f64 1 (*.f64 x (/.f64 z y))))
(+.f64 (/.f64 (.f64 x (/.f64 z (neg.f64 y))) 2) (/.f64 (.f64 x (/.f64 z (neg.f64 y))) 2))
(-.f64 (*.f64 x (/.f64 z (neg.f64 y))) 0)
(-.f64 0 (*.f64 x (/.f64 z y)))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 x (/.f64 (.f64 2 (.f64 (/.f64 (neg.f64 y) z) 4)) 8))
(/.f64 (*.f64 x (/.f64 z (neg.f64 y))) 1)
(/.f64 (.f64 (/.f64 z y) (.f64 x -2)) 2)
(/.f64 (+.f64 x x) (*.f64 y (/.f64 -2 z)))
(/.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (.f64 -4 (.f64 x (/.f64 z y))) 4)
(/.f64 (*.f64 x (/.f64 z y)) -1)
(/.f64 (.f64 x -2) (.f64 y (/.f64 2 z)))
(/.f64 (.f64 (.f64 x (/.f64 z (neg.f64 y))) 8) 8)
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 1 z))
(/.f64 (*.f64 x (/.f64 -1/2 y)) (/.f64 1/2 z))
(/.f64 (*.f64 x (neg.f64 z)) y)
(/.f64 (*.f64 z (neg.f64 x)) y)
(/.f64 (/.f64 x y) (/.f64 -1 z))
(/.f64 (/.f64 x (+.f64 y y)) (/.f64 -1/2 z))
(/.f64 (/.f64 x 2) (/.f64 y (*.f64 z -2)))
(/.f64 (.f64 2 (.f64 (*.f64 x (/.f64 z (neg.f64 y))) 8)) 16)
(/.f64 (/.f64 x 1/2) (*.f64 y (/.f64 -2 z)))
(/.f64 (/.f64 (neg.f64 x) 2) (/.f64 y (+.f64 z z)))
(/.f64 (/.f64 (neg.f64 x) (/.f64 1 z)) y)
(/.f64 (/.f64 (neg.f64 x) 1/2) (*.f64 y (/.f64 2 z)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (.f64 x -2)) (.f64 y (/.f64 -2 z)))
(/.f64 (neg.f64 (*.f64 x (/.f64 -1/2 y))) (/.f64 -1/2 z))
(/.f64 (neg.f64 (/.f64 x y)) (-.f64 0 (/.f64 -1 z)))
(/.f64 (neg.f64 (/.f64 x (+.f64 y y))) (-.f64 0 (/.f64 -1/2 z)))
(/.f64 (neg.f64 (/.f64 x 2)) (-.f64 0 (/.f64 y (*.f64 z -2))))
(/.f64 (neg.f64 (/.f64 x 1/2)) (*.f64 y (/.f64 2 z)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 y z))
(/.f64 (neg.f64 (/.f64 (neg.f64 x) 2)) (-.f64 0 (/.f64 y (+.f64 z z))))
(/.f64 (neg.f64 (/.f64 (neg.f64 x) (/.f64 1 z))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (neg.f64 x) 1/2)) (*.f64 y (/.f64 -2 z)))
(/.f64 (neg.f64 (/.f64 x (neg.f64 y))) (/.f64 -1 z))
(pow.f64 (*.f64 x (/.f64 z (neg.f64 y))) 1)
(neg.f64 (*.f64 x (/.f64 z y)))

Outputs
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(.f64 -1 (/.f64 (.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 z (neg.f64 y))) 0)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(+.f64 0 (*.f64 x (/.f64 z (neg.f64 y))))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(+.f64 -1 (-.f64 1 (*.f64 x (/.f64 z y))))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(+.f64 (/.f64 (.f64 x (/.f64 z (neg.f64 y))) 2) (/.f64 (.f64 x (/.f64 z (neg.f64 y))) 2))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(-.f64 (*.f64 x (/.f64 z (neg.f64 y))) 0)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(-.f64 0 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 x (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 x (/.f64 (.f64 2 (.f64 (/.f64 (neg.f64 y) z) 4)) 8))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 x (/.f64 z (neg.f64 y))) 1)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (.f64 (/.f64 z y) (.f64 x -2)) 2)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (+.f64 x x) (*.f64 y (/.f64 -2 z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 x) (/.f64 y z))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (.f64 -4 (.f64 x (/.f64 z y))) 4)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 x (/.f64 z y)) -1)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (.f64 x -2) (.f64 y (/.f64 2 z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (.f64 (.f64 x (/.f64 z (neg.f64 y))) 8) 8)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 1 z))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 x (/.f64 -1/2 y)) (/.f64 1/2 z))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (/.f64 x y) (/.f64 -1 z))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (/.f64 x (+.f64 y y)) (/.f64 -1/2 z))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (/.f64 x 2) (/.f64 y (*.f64 z -2)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (.f64 2 (.f64 (*.f64 x (/.f64 z (neg.f64 y))) 8)) 16)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (/.f64 x 1/2) (*.f64 y (/.f64 -2 z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) 2) (/.f64 y (+.f64 z z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) (/.f64 1 z)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) 1/2) (*.f64 y (/.f64 2 z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (.f64 x -2)) (.f64 y (/.f64 -2 z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (/.f64 -1/2 y))) (/.f64 -1/2 z))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x y)) (-.f64 0 (/.f64 -1 z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x (+.f64 y y))) (-.f64 0 (/.f64 -1/2 z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x 2)) (-.f64 0 (/.f64 y (*.f64 z -2))))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x 1/2)) (*.f64 y (/.f64 2 z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 y z))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (neg.f64 x) 2)) (-.f64 0 (/.f64 y (+.f64 z z))))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (neg.f64 x) (/.f64 1 z))) (neg.f64 y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (neg.f64 x) 1/2)) (*.f64 y (/.f64 -2 z)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x (neg.f64 y))) (/.f64 -1 z))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(pow.f64 (*.f64 x (/.f64 z (neg.f64 y))) 1)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.0b	(/.f64 (*.f64 z (neg.f64 x)) y)

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`rational.json-simplify-2`
1192×	`rational.json-1`
1192×	`rational.json-2`
1192×	`rational.json-4`
1192×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	66	17
2	185	17
3	530	17
4	1844	17
5	4726	17

Stop Event

1×	node limit

Counts

1 → 118

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 z x) (*.f64 y -2)) (/.f64 (*.f64 z x) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 2) (/.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 -1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 z -2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (*.f64 x -2)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (*.f64 x -2)) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 z x) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 z (/.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (neg.f64 x) (*.f64 z (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 z y) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 z (neg.f64 x)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (neg.f64 y)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 z 1/2) (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (+.f64 y y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 z (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (/.f64 x (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 1/2 (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 z (/.f64 -2 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x 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#<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 x y) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (*.f64 z x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 z (neg.f64 y)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (neg.f64 z) (/.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 z (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 (/.f64 z y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 z (*.f64 x -1/2)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (neg.f64 x) (*.f64 z 1/2)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 x (*.f64 y -2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 z (/.f64 1/2 y)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 x -1/2) (*.f64 z (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 z 1/2) (/.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (*.f64 z (neg.f64 x)) 2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 2 y)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 4) (*.f64 (/.f64 1/2 y) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 4) (*.f64 (*.f64 x -1/2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 4) (*.f64 1/2 (/.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (*.f64 z (neg.f64 x))) (*.f64 1/4 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (*.f64 z -1/2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 -2 (*.f64 y 4)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 -1/2 (*.f64 z (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (/.f64 x 2) (*.f64 z (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (*.f64 z (/.f64 x 2)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (/.f64 x (+.f64 y y)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) (*.f64 1/2 (*.f64 z (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) (*.f64 (/.f64 1/2 y) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) (*.f64 (*.f64 z 1/2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -2) (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -2) (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -2) (*.f64 -1 (/.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -2) (*.f64 (/.f64 -1 y) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 -2 (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x y)) (*.f64 -1 (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 x y)) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 1/2 y)) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y -2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 z (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 z (*.f64 -2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 1/2) (*.f64 -2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/2) (*.f64 z (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 x x)) (*.f64 -1 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 z (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (neg.f64 x) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 1/2 (*.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 z) 4) (*.f64 (/.f64 x 2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 z (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y y)) (*.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z x) (*.f64 y -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 z (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 -1 y)) (*.f64 x (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 -1 y)) (*.f64 (neg.f64 z) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 z (neg.f64 y))) (*.f64 -1 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x (*.f64 y -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 -2 (*.f64 y 4))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x (+.f64 y y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) (*.f64 z (/.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (*.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) -1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (/.f64 x 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) 1/2) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (neg.f64 x)) (/.f64 1/2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 1 y)) (neg.f64 (/.f64 1 y))) (*.f64 x (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (/.f64 x y)))))))

simplify206.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1622×	`rational.json-simplify-49`
1286×	`rational.json-simplify-61`
976×	`rational.json-simplify-1`
974×	`rational.json-simplify-51`
892×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	2942
1	643	2636
2	1550	2632
3	2318	2632
4	5405	2632
5	7576	2632

Stop Event

1×	node limit

Counts

154 → 125

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 0)
(+.f64 0 (*.f64 (neg.f64 z) (/.f64 x y)))
(+.f64 -1 (-.f64 1 (*.f64 z (/.f64 x y))))
(+.f64 (/.f64 (.f64 z x) (.f64 y -2)) (/.f64 (.f64 z x) (.f64 y -2)))
(+.f64 (/.f64 (.f64 (neg.f64 z) (/.f64 x y)) 2) (/.f64 (.f64 (neg.f64 z) (/.f64 x y)) 2))
(-.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 0)
(-.f64 0 (*.f64 z (/.f64 x y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 x (/.f64 -1 (/.f64 y z)))
(.f64 x (.f64 (*.f64 z -2) (/.f64 1/2 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(.f64 (.f64 z (neg.f64 x)) (/.f64 1 y))
(.f64 (.f64 (neg.f64 z) (/.f64 x y)) 1)
(.f64 1 (.f64 (neg.f64 z) (/.f64 x y)))
(.f64 -1 (.f64 z (/.f64 x y)))
(.f64 (.f64 z (*.f64 x -2)) (/.f64 1/2 y))
(.f64 (.f64 z (.f64 x -2)) (.f64 (/.f64 1 y) 1/2))
(*.f64 (/.f64 z y) (neg.f64 x))
(.f64 2 (/.f64 (.f64 z x) (*.f64 y -2)))
(.f64 2 (/.f64 (.f64 (neg.f64 z) (/.f64 x y)) 2))
(.f64 2 (.f64 z (/.f64 x (*.f64 y -2))))
(.f64 2 (.f64 (neg.f64 x) (*.f64 z (/.f64 1/2 y))))
(.f64 2 (.f64 (/.f64 z y) (*.f64 x -1/2)))
(.f64 2 (.f64 (*.f64 z (neg.f64 x)) (/.f64 1/2 y)))
(.f64 2 (.f64 (/.f64 x (neg.f64 y)) (*.f64 z 1/2)))
(.f64 2 (.f64 (*.f64 z 1/2) (/.f64 x (neg.f64 y))))
(.f64 2 (.f64 (/.f64 x (+.f64 y y)) (neg.f64 z)))
(.f64 2 (.f64 (.f64 (/.f64 1 y) 1/2) (.f64 z (neg.f64 x))))
(.f64 2 (.f64 (/.f64 1 (.f64 y 4)) (.f64 z (*.f64 x -2))))
(.f64 (+.f64 z z) (/.f64 x (.f64 y -2)))
(.f64 (+.f64 z z) (.f64 1/2 (/.f64 x (neg.f64 y))))
(.f64 (+.f64 x x) (.f64 z (/.f64 -2 (*.f64 y 4))))
(.f64 (+.f64 x x) (.f64 (/.f64 z y) -1/2))
(.f64 (+.f64 x x) (.f64 -1 (*.f64 z (/.f64 1/2 y))))
(.f64 (+.f64 x x) (.f64 (/.f64 -1 y) (*.f64 z 1/2)))
(.f64 (+.f64 x x) (.f64 (neg.f64 (/.f64 1 y)) (*.f64 z 1/2)))
(.f64 (+.f64 x x) (.f64 (neg.f64 z) (/.f64 1/2 y)))
(.f64 (.f64 z (*.f64 -2 (/.f64 x y))) 1/2)
(.f64 (.f64 z (.f64 x -4)) (/.f64 1 (.f64 y 4)))
(.f64 (.f64 z (.f64 x -4)) (.f64 1/2 (/.f64 1/2 y)))
(.f64 -2 (.f64 z (/.f64 x (+.f64 y y))))
(.f64 -2 (.f64 (/.f64 z y) (/.f64 x 2)))
(.f64 -2 (.f64 x (*.f64 z (/.f64 1/2 y))))
(.f64 -2 (.f64 (/.f64 x y) (*.f64 z 1/2)))
(.f64 -2 (.f64 (*.f64 z x) (/.f64 1/2 y)))
(.f64 -2 (.f64 (/.f64 z (neg.f64 y)) (*.f64 x -1/2)))
(.f64 -2 (.f64 (neg.f64 z) (/.f64 x (*.f64 y -2))))
(.f64 (.f64 x -2) (*.f64 z (/.f64 1/2 y)))
(.f64 (.f64 x -2) (*.f64 (/.f64 z y) 1/2))
(*.f64 (neg.f64 z) (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 z (neg.f64 x)))
(*.f64 (/.f64 x (neg.f64 y)) z)
(.f64 4 (.f64 (.f64 z (.f64 x -1/2)) (/.f64 1/2 y)))
(.f64 4 (.f64 (.f64 (neg.f64 x) (.f64 z 1/2)) (/.f64 1/2 y)))
(.f64 4 (.f64 (/.f64 x (.f64 y -2)) (.f64 z 1/2)))
(.f64 4 (.f64 (.f64 z (/.f64 1/2 y)) (.f64 x -1/2)))
(.f64 4 (.f64 (.f64 x -1/2) (.f64 z (/.f64 1/2 y))))
(.f64 4 (.f64 (.f64 z 1/2) (/.f64 x (.f64 y -2))))
(.f64 4 (.f64 (/.f64 (*.f64 z (neg.f64 x)) 2) (/.f64 1/2 y)))
(.f64 (.f64 z (/.f64 2 y)) (*.f64 x -1/2))
(.f64 (.f64 z 4) (.f64 (/.f64 1/2 y) (.f64 x -1/2)))
(.f64 (.f64 z 4) (.f64 (.f64 x -1/2) (/.f64 1/2 y)))
(.f64 (.f64 z 4) (.f64 1/2 (/.f64 x (.f64 y -2))))
(.f64 (.f64 8 (.f64 z (neg.f64 x))) (.f64 1/4 (/.f64 1/2 y)))
(.f64 (.f64 x 4) (.f64 (.f64 z -1/2) (/.f64 1/2 y)))
(.f64 (.f64 x 4) (.f64 (/.f64 -2 (.f64 y 4)) (*.f64 z 1/2)))
(.f64 (.f64 x 4) (.f64 -1/2 (.f64 z (/.f64 1/2 y))))
(.f64 -4 (.f64 (/.f64 x 2) (*.f64 z (/.f64 1/2 y))))
(.f64 -4 (.f64 (*.f64 z (/.f64 x 2)) (/.f64 1/2 y)))
(.f64 -4 (.f64 (/.f64 x (+.f64 y y)) (*.f64 z 1/2)))
(.f64 (.f64 x -4) (.f64 1/2 (.f64 z (/.f64 1/2 y))))
(.f64 (.f64 x -4) (.f64 (/.f64 1/2 y) (.f64 z 1/2)))
(.f64 (.f64 x -4) (.f64 (.f64 z 1/2) (/.f64 1/2 y)))
(.f64 (.f64 z -2) (/.f64 x (+.f64 y y)))
(.f64 (.f64 z -2) (*.f64 x (/.f64 1/2 y)))
(.f64 (.f64 z -2) (.f64 -1 (/.f64 x (.f64 y -2))))
(.f64 (.f64 z -2) (.f64 (/.f64 -1 y) (.f64 x -1/2)))
(*.f64 (/.f64 z (neg.f64 y)) x)
(.f64 (.f64 z (/.f64 x y)) -1)
(.f64 (.f64 z x) (/.f64 -1 y))
(*.f64 (/.f64 x y) (neg.f64 z))
(.f64 (/.f64 x y) (.f64 -2 (*.f64 z 1/2)))
(.f64 (.f64 2 (/.f64 x y)) (.f64 -1 (.f64 z 1/2)))
(.f64 (.f64 -2 (/.f64 x y)) (*.f64 z 1/2))
(.f64 (/.f64 -1 y) (.f64 z x))
(.f64 (.f64 z (/.f64 1/2 y)) (*.f64 x -2))
(.f64 (/.f64 x (.f64 y -2)) (+.f64 z z))
(.f64 (/.f64 1/2 y) (.f64 z (*.f64 x -2)))
(.f64 1/2 (.f64 z (*.f64 -2 (/.f64 x y))))
(.f64 (.f64 z 1/2) (*.f64 -2 (/.f64 x y)))
(.f64 (.f64 x -1/2) (*.f64 z (/.f64 2 y)))
(.f64 (.f64 z (+.f64 x x)) (*.f64 -1 (/.f64 1/2 y)))
(.f64 (.f64 2 (/.f64 1 y)) (.f64 z (.f64 x -1/2)))
(.f64 (.f64 2 (/.f64 1 y)) (.f64 (neg.f64 x) (.f64 z 1/2)))
(.f64 (.f64 2 (/.f64 1 y)) (.f64 1/2 (.f64 z (neg.f64 x))))
(.f64 (.f64 (neg.f64 z) 4) (*.f64 (/.f64 x 2) (/.f64 1/2 y)))
(.f64 (.f64 (/.f64 1 y) 1/2) (.f64 z (.f64 x -2)))
(.f64 (/.f64 x (+.f64 y y)) (.f64 z -2))
(.f64 (/.f64 (.f64 z x) (*.f64 y -2)) 2)
(*.f64 (/.f64 -1 (/.f64 y z)) x)
(.f64 (/.f64 (.f64 (neg.f64 z) (/.f64 x y)) 2) 2)
(.f64 (/.f64 1 (.f64 y 4)) (.f64 z (.f64 x -4)))
(.f64 (.f64 2 (/.f64 -1 y)) (.f64 x (.f64 z 1/2)))
(.f64 (.f64 2 (/.f64 -1 y)) (.f64 (neg.f64 z) (.f64 x -1/2)))
(.f64 (.f64 2 (/.f64 z (neg.f64 y))) (.f64 -1 (.f64 x -1/2)))
(.f64 (.f64 z (/.f64 x (*.f64 y -2))) 2)
(.f64 (.f64 z (/.f64 -2 (*.f64 y 4))) (+.f64 x x))
(.f64 (.f64 z (/.f64 x (+.f64 y y))) -2)
(.f64 (.f64 (neg.f64 x) (*.f64 z (/.f64 1/2 y))) 2)
(.f64 (.f64 (/.f64 z y) (*.f64 x -1/2)) 2)
(.f64 (.f64 (/.f64 z y) -1/2) (+.f64 x x))
(.f64 (.f64 (/.f64 z y) (/.f64 x 2)) -2)
(.f64 (.f64 (/.f64 z y) 1/2) (*.f64 x -2))
(.f64 (.f64 (*.f64 z (neg.f64 x)) (/.f64 1/2 y)) 2)
(.f64 (+.f64 (neg.f64 (/.f64 1 y)) (neg.f64 (/.f64 1 y))) (.f64 x (*.f64 z 1/2)))
(pow.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1)
(neg.f64 (*.f64 z (/.f64 x y)))

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

eval276.0ms (2.5%)

Compiler: Compiled 11065 to 5921 computations (46.5% saved)

prune347.0ms (3.1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	905	3	908
Fresh	2	1	3
Picked	0	1	1
Done	1	4	5
Total	908	9	917

Error

Counts

917 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.8b	(/.f64 (/.f64 x y) (/.f64 -1 z))
✓	42.3b	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	34.7b	(/.f64 (*.f64 y x) y)
✓	2.6b	(/.f64 x (/.f64 y (-.f64 y z)))
▶	31.3b	(*.f64 (/.f64 x y) y)
✓	2.6b	(*.f64 x (/.f64 (-.f64 y z) y))
✓	42.6b	(*.f64 x (neg.f64 (/.f64 z y)))
▶	42.5b	(neg.f64 (/.f64 z (/.f64 y x)))
	23.0b	x

Compiler

Compiled 77 to 50 computations (35.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.5b	(/.f64 z (/.f64 y x))

Compiler

Compiled 20 to 6 computations (70% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`rational.json-1`
1590×	`rational.json-2`
1590×	`rational.json-4`
1590×	`rational.json-3`
1566×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	52	13
2	172	13
3	567	13
4	2111	13
5	5761	13

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 z (*.f64 y (/.f64 2 x))) (/.f64 z (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 z y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (/.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 (/.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 (/.f64 1 (+.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 z (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 y (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 z y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 x y) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 y z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (*.f64 x (/.f64 2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 -1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 z (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 z (*.f64 x (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 y (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (*.f64 y (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y (/.f64 2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y z) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (/.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 z))))) (#(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 z (/.f64 y (neg.f64 x))))))))

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational.json-simplify-35`
1032×	`rational.json-simplify-53`
936×	`rational.json-simplify-43`
880×	`rational.json-simplify-1`
784×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1079
1	222	1079
2	490	1079
3	1617	1079
4	4770	1079
5	7302	1079

Stop Event

1×	node limit

Counts

83 → 48

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(+.f64 (*.f64 z (/.f64 x y)) 0)
(+.f64 0 (*.f64 z (/.f64 x y)))
(+.f64 (/.f64 z (.f64 y (/.f64 2 x))) (/.f64 z (.f64 y (/.f64 2 x))))
(-.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(.f64 (.f64 z (/.f64 x y)) 1)
(.f64 1 (.f64 z (/.f64 x y)))
(.f64 (+.f64 x x) (.f64 (/.f64 z y) 1/2))
(*.f64 (+.f64 z z) (/.f64 (/.f64 x y) 2))
(.f64 (+.f64 z z) (.f64 (/.f64 x y) 1/2))
(.f64 (+.f64 z z) (.f64 (/.f64 1 (+.f64 y y)) x))
(.f64 2 (/.f64 z (.f64 y (/.f64 2 x))))
(.f64 2 (/.f64 x (.f64 y (/.f64 2 z))))
(.f64 2 (/.f64 (.f64 z (/.f64 x y)) 2))
(.f64 2 (.f64 (*.f64 (/.f64 z y) 1/2) x))
(.f64 2 (.f64 (/.f64 (/.f64 x y) 2) z))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 y z) 4)))
(.f64 (.f64 z (*.f64 x (/.f64 2 y))) 1/2)
(.f64 (.f64 z 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y z)))
(*.f64 (neg.f64 z) (/.f64 -1 (/.f64 y x)))
(*.f64 (/.f64 x y) z)
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 z)))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 z y) (/.f64 1 (/.f64 1 x)))
(*.f64 -1 (/.f64 z (/.f64 y (neg.f64 x))))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))
(.f64 1/2 (.f64 z (*.f64 x (/.f64 2 y))))
(*.f64 (/.f64 (/.f64 x y) 2) (+.f64 z z))
(.f64 (.f64 (/.f64 z y) 1/2) (+.f64 x x))
(.f64 (.f64 (/.f64 x y) 1/2) (+.f64 z z))
(*.f64 (/.f64 1 (/.f64 1 z)) (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 z (/.f64 y (neg.f64 x))) -1)
(*.f64 (/.f64 x (/.f64 1 z)) (/.f64 1 y))
(*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y))
(.f64 (/.f64 z (.f64 y (/.f64 2 x))) 2)
(.f64 (/.f64 x (.f64 y (/.f64 2 z))) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y z) 4)) (*.f64 x 4))
(.f64 (/.f64 (.f64 z (/.f64 x y)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y x) 4)) (*.f64 z 4))
(*.f64 (/.f64 -1 (/.f64 y z)) (neg.f64 x))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 z))
(pow.f64 (*.f64 z (/.f64 x y)) 1)
(neg.f64 (/.f64 z (/.f64 y (neg.f64 x))))

Outputs
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(+.f64 0 (*.f64 z (/.f64 x y)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 z (.f64 y (/.f64 2 x))) (/.f64 z (.f64 y (/.f64 2 x))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(-.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z (/.f64 x y)) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 1 (.f64 z (/.f64 x y)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (/.f64 z y) 1/2))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (+.f64 z z) (/.f64 (/.f64 x y) 2))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (+.f64 z z) (.f64 (/.f64 x y) 1/2))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (+.f64 z z) (.f64 (/.f64 1 (+.f64 y y)) x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 2 (/.f64 z (.f64 y (/.f64 2 x))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 2 (/.f64 x (.f64 y (/.f64 2 z))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 2 (/.f64 (.f64 z (/.f64 x y)) 2))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (*.f64 (/.f64 z y) 1/2) x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 2 (.f64 (/.f64 (/.f64 x y) 2) z))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 y z) 4)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z (*.f64 x (/.f64 2 y))) 1/2)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y z)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (neg.f64 z) (/.f64 -1 (/.f64 y x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 z)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z y) (/.f64 1 (/.f64 1 x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 -1 (/.f64 z (/.f64 y (neg.f64 x))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 1/2 (.f64 z (*.f64 x (/.f64 2 y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) 2) (+.f64 z z))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (.f64 (/.f64 z y) 1/2) (+.f64 x x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (.f64 (/.f64 x y) 1/2) (+.f64 z z))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 1 z)) (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 z y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z (/.f64 y (neg.f64 x))) -1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x (/.f64 1 z)) (/.f64 1 y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z (/.f64 1 x)) (/.f64 1 y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (/.f64 z (.f64 y (/.f64 2 x))) 2)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (/.f64 x (.f64 y (/.f64 2 z))) 2)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (/.f64 1 (.f64 (/.f64 y z) 4)) (*.f64 x 4))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (/.f64 (.f64 z (/.f64 x y)) 2) 2)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(.f64 (/.f64 1 (.f64 (/.f64 y x) 4)) (*.f64 z 4))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 -1 (/.f64 y z)) (neg.f64 x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 z))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (*.f64 z (/.f64 x y)) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(neg.f64 (/.f64 z (/.f64 y (neg.f64 x))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite131.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`rational.json-simplify-50`
1192×	`rational.json-1`
1192×	`rational.json-2`
1192×	`rational.json-4`
1192×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	42	13
2	117	13
3	327	13
4	1147	1
5	4205	1

Stop Event

1×	node limit

Counts

1 → 141

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 0 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 0 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (/.f64 y (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x 2) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 -1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (/.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (/.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (neg.f64 (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (-.f64 0 (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (-.f64 0 (/.f64 -1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (-.f64 0 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (-.f64 0 (*.f64 2 (/.f64 y (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 2) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (*.f64 (/.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 (/.f64 -2 x) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 x)) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 y 4) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 4) (*.f64 2 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 8) (*.f64 (/.f64 y x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 2 (/.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (/.f64 1/2 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (/.f64 1/2 x)) (/.f64 -2 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y 4)) (/.f64 -4 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (neg.f64 y)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (*.f64 2 (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (*.f64 2 (/.f64 -1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (neg.f64 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (*.f64 y 4) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y x) 4) (*.f64 2 (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 8) (*.f64 (/.f64 1 y) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 4) (*.f64 (/.f64 2 y) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x 8)) (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) 1/4) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (/.f64 -1 y)) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x y) 4) (/.f64 1 y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) (/.f64 1 y)) (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) (/.f64 1 y)) (/.f64 -8 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 -1 y)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) (*.f64 (/.f64 y x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 y (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 y y)) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 (*.f64 y 4) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 2) (/.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y 4)) (-.f64 0 (*.f64 (/.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 y) (-.f64 0 (/.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 x y) 2)) (neg.f64 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x -2)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x -2)) (neg.f64 (/.f64 -2 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (*.f64 y 4))) (neg.f64 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x (neg.f64 y))) (*.f64 2 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y (*.f64 x 8))) (*.f64 2 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 (/.f64 x y) 4) (/.f64 1 y))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 x 8) (/.f64 1 y))) (*.f64 2 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 x x) (/.f64 -1 y))) (*.f64 (neg.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (/.f64 y x) (/.f64 1 y))) (*.f64 (/.f64 y x) (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y (*.f64 x -2))) (*.f64 (neg.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 x (*.f64 y 4)))) (*.f64 2 (neg.f64 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x (/.f64 y (neg.f64 y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 -2 (/.f64 -1 y))) (*.f64 (/.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 2) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (*.f64 y 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 (/.f64 -1 y)) y) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) y) (/.f64 (/.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) (/.f64 y x)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (/.f64 2 x))) (-.f64 0 (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y (neg.f64 y))) (-.f64 0 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 x y) 4)) (-.f64 0 (*.f64 2 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) 2))) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (*.f64 x 8))) (neg.f64 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -2 (/.f64 -1 y))) (neg.f64 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x 8) (/.f64 1 y))) (neg.f64 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1 y))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 y x) (/.f64 1 y))) (neg.f64 (*.f64 (/.f64 y x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (*.f64 x -2))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 y 4)))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 y 4)))) (-.f64 0 (neg.f64 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) y) (/.f64 8 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y 2)) (-.f64 0 (/.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y 1/2)) (neg.f64 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (+.f64 y y))) (-.f64 0 (*.f64 (/.f64 1 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 y (*.f64 x 8)))) (-.f64 0 (*.f64 2 (*.f64 y 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 -2 (/.f64 -1 y)))) (-.f64 0 (*.f64 (/.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 x 8) (/.f64 1 y)))) (-.f64 0 (*.f64 2 (*.f64 y 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 x x) (/.f64 -1 y)))) (-.f64 0 (*.f64 (neg.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (/.f64 y x) (/.f64 1 y)))) (-.f64 0 (*.f64 (/.f64 y x) (*.f64 y (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 y (*.f64 x -2)))) (-.f64 0 (*.f64 (neg.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x y) 2)) (-.f64 0 (/.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x y) 1/2)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 -2 (/.f64 -1 y)) y)) (-.f64 0 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) y)) (-.f64 0 (/.f64 (/.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) (/.f64 y x))) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 x 8)))) (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 -2 (/.f64 -1 y)))) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x 8) (/.f64 1 y)))) (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1 y)))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 y x) (/.f64 1 y)))) (*.f64 (/.f64 y x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 x -2)))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 y 4))))) (neg.f64 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational.json-simplify-35`
1214×	`rational.json-simplify-2`
874×	`rational.json-simplify-61`
820×	`rational.json-simplify-29`
740×	`rational.json-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	403
1	1273	375
2	4140	339
3	7359	339

Stop Event

1×	node limit

Counts

165 → 151

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 x (/.f64 0 y))
(+.f64 x (/.f64 0 (/.f64 -1 y)))
(+.f64 0 x)
(+.f64 -1 (-.f64 x -1))
(+.f64 -1 (-.f64 1 (/.f64 x (/.f64 y (neg.f64 y)))))
(+.f64 (/.f64 x 2) (/.f64 x 2))
(+.f64 (-.f64 x -1) -1)
(+.f64 (/.f64 0 y) x)
(+.f64 (/.f64 0 (/.f64 -1 y)) x)
(-.f64 x 0)
(-.f64 0 (neg.f64 x))
(-.f64 0 (/.f64 x (/.f64 y (neg.f64 y))))
(/.f64 x 1)
(/.f64 x (neg.f64 (/.f64 y (neg.f64 y))))
(/.f64 y (/.f64 y x))
(/.f64 y (neg.f64 (neg.f64 (/.f64 y x))))
(/.f64 y (-.f64 0 (neg.f64 (/.f64 y x))))
(/.f64 y (-.f64 0 (/.f64 -1 (/.f64 x y))))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (/.f64 x y) (-.f64 0 (/.f64 -1 y)))
(/.f64 1 (/.f64 1 x))
(/.f64 (+.f64 x x) 2)
(/.f64 (+.f64 x x) (-.f64 0 (*.f64 2 (/.f64 y (neg.f64 y)))))
(/.f64 (+.f64 y y) (*.f64 y (/.f64 2 x)))
(/.f64 2 (*.f64 2 (/.f64 1 x)))
(/.f64 2 (/.f64 2 x))
(/.f64 (*.f64 (/.f64 x y) 2) (/.f64 2 y))
(/.f64 (*.f64 x 4) 4)
(/.f64 (.f64 y 4) (.f64 (/.f64 y x) 4))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) x))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 -2 x) (*.f64 y -2)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) y))
(/.f64 (neg.f64 x) -1)
(/.f64 (neg.f64 x) (/.f64 y (neg.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
(/.f64 -1 (/.f64 -1 x))
(/.f64 (.f64 y (/.f64 2 x)) (.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 y)))
(/.f64 4 (/.f64 (.f64 y 4) (.f64 x y)))
(/.f64 4 (.f64 2 (.f64 2 (/.f64 1 x))))
(/.f64 4 (*.f64 2 (/.f64 2 x)))
(/.f64 (.f64 (/.f64 x y) 4) (.f64 2 (/.f64 2 y)))
(/.f64 (*.f64 x 8) 8)
(/.f64 (.f64 y 8) (.f64 (/.f64 y x) 8))
(/.f64 (*.f64 x -2) -2)
(/.f64 (.f64 x -2) (.f64 2 (/.f64 y (neg.f64 y))))
(/.f64 (*.f64 x y) y)
(/.f64 (/.f64 y (/.f64 1/2 x)) (+.f64 y y))
(/.f64 (/.f64 y (/.f64 1/2 x)) (/.f64 -2 (/.f64 -1 y)))
(/.f64 (.f64 x (.f64 y 4)) (*.f64 y 4))
(/.f64 (.f64 x (.f64 y 4)) (/.f64 -4 (/.f64 -1 y)))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 y (neg.f64 y)) (/.f64 -1 x))
(/.f64 1/2 (/.f64 1/2 x))
(/.f64 (.f64 y -2) (.f64 2 (neg.f64 (/.f64 y x))))
(/.f64 (.f64 y -2) (.f64 2 (/.f64 -1 (/.f64 x y))))
(/.f64 (.f64 y -2) (neg.f64 (.f64 y (/.f64 2 x))))
(/.f64 8 (.f64 2 (/.f64 (.f64 y 4) (*.f64 x y))))
(/.f64 -2 (-.f64 0 (*.f64 2 (/.f64 1 x))))
(/.f64 -2 (-.f64 0 (/.f64 2 x)))
(/.f64 (.f64 (/.f64 y x) 4) (.f64 2 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 y))))
(/.f64 (.f64 (/.f64 x y) 8) (.f64 (/.f64 1 y) 8))
(/.f64 (.f64 2 (.f64 x 8)) 16)
(/.f64 (*.f64 (neg.f64 x) 4) -4)
(/.f64 (.f64 (neg.f64 x) 4) (.f64 (/.f64 2 y) (*.f64 y -2)))
(/.f64 (.f64 y (.f64 x 8)) (*.f64 y 8))
(/.f64 (/.f64 (/.f64 x y) 1/4) (/.f64 4 y))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 y))
(/.f64 (/.f64 -2 (/.f64 -1 y)) (*.f64 y (/.f64 2 x)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 4) (/.f64 1 y)) 4)
(/.f64 (/.f64 (.f64 x 8) (/.f64 1 y)) (.f64 y 8))
(/.f64 (/.f64 (*.f64 x 8) (/.f64 1 y)) (/.f64 -8 (/.f64 -1 y)))
(/.f64 (/.f64 (+.f64 x x) (/.f64 -1 y)) (*.f64 y -2))
(/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) (*.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (/.f64 x (/.f64 y (neg.f64 y))) -1)
(/.f64 (/.f64 x (+.f64 y y)) (*.f64 (/.f64 1 y) 1/2))
(/.f64 -4 (-.f64 0 (/.f64 (.f64 y 4) (.f64 x y))))
(/.f64 (/.f64 x 2) 1/2)
(/.f64 (/.f64 y 2) (/.f64 (/.f64 y x) 2))
(/.f64 (neg.f64 (.f64 y 4)) (-.f64 0 (.f64 (/.f64 y x) 4)))
(/.f64 (/.f64 -1 y) (-.f64 0 (/.f64 (/.f64 1 y) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) 2)) (neg.f64 (/.f64 2 y)))
(/.f64 (.f64 y (.f64 x -2)) (*.f64 y -2))
(/.f64 (.f64 y (.f64 x -2)) (neg.f64 (/.f64 -2 (/.f64 -1 y))))
(/.f64 (neg.f64 (.f64 x (.f64 y 4))) (neg.f64 (*.f64 y 4)))
(/.f64 (.f64 2 (/.f64 x (neg.f64 y))) (.f64 2 (/.f64 -1 y)))
(/.f64 (.f64 2 (.f64 y (.f64 x 8))) (.f64 2 (*.f64 y 8)))
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 x y) 4) (/.f64 1 y))) 8)
(/.f64 (.f64 2 (/.f64 (.f64 x 8) (/.f64 1 y))) (.f64 2 (.f64 y 8)))
(/.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 -1 y))) (.f64 (neg.f64 y) 4))
(/.f64 (.f64 2 (/.f64 (/.f64 y x) (/.f64 1 y))) (.f64 (/.f64 y x) (*.f64 y (/.f64 2 x))))
(/.f64 (.f64 2 (.f64 y (.f64 x -2))) (.f64 (neg.f64 y) 4))
(/.f64 (.f64 2 (neg.f64 (.f64 x (.f64 y 4)))) (.f64 2 (neg.f64 (*.f64 y 4))))
(/.f64 -1/2 (neg.f64 (/.f64 1/2 x)))
(/.f64 (*.f64 2 (/.f64 x (/.f64 y (neg.f64 y)))) -2)
(/.f64 (.f64 2 (/.f64 -2 (/.f64 -1 y))) (.f64 (/.f64 y x) 4))
(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
(/.f64 (/.f64 (*.f64 x y) 2) (/.f64 y 2))
(/.f64 (/.f64 (.f64 x y) (.f64 y 4)) 1/4)
(/.f64 (/.f64 (*.f64 x y) 1/2) (+.f64 y y))
(/.f64 (/.f64 (/.f64 -2 (/.f64 -1 y)) y) (/.f64 2 x))
(/.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) y) (/.f64 (/.f64 y x) x))
(/.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) (/.f64 y x)) (/.f64 y x))
(/.f64 (neg.f64 (.f64 y (/.f64 2 x))) (-.f64 0 (.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 y))))
(/.f64 (neg.f64 (/.f64 y (neg.f64 y))) (-.f64 0 (/.f64 -1 x)))
(/.f64 (neg.f64 (.f64 (/.f64 x y) 4)) (-.f64 0 (.f64 2 (/.f64 2 y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) 2))) (/.f64 2 y))
(/.f64 (neg.f64 (.f64 y (.f64 x 8))) (neg.f64 (*.f64 y 8)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 -1 y))) (neg.f64 (*.f64 y (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 (.f64 x 8) (/.f64 1 y))) (neg.f64 (.f64 y 8)))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1 y))) (+.f64 y y))
(/.f64 (neg.f64 (/.f64 (/.f64 y x) (/.f64 1 y))) (neg.f64 (*.f64 (/.f64 y x) (/.f64 y x))))
(/.f64 (neg.f64 (.f64 y (.f64 x -2))) (+.f64 y y))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 y 4)))) (*.f64 y 4))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 y 4)))) (-.f64 0 (neg.f64 (*.f64 y 4))))
(/.f64 (/.f64 (*.f64 x 8) y) (/.f64 8 y))
(/.f64 (neg.f64 (/.f64 y 2)) (-.f64 0 (/.f64 (/.f64 y x) 2)))
(/.f64 (neg.f64 (/.f64 y 1/2)) (neg.f64 (*.f64 y (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 x (+.f64 y y))) (-.f64 0 (*.f64 (/.f64 1 y) 1/2)))
(/.f64 (neg.f64 (.f64 2 (.f64 y (.f64 x 8)))) (-.f64 0 (.f64 2 (*.f64 y 8))))
(/.f64 (neg.f64 (.f64 2 (/.f64 -2 (/.f64 -1 y)))) (-.f64 0 (.f64 (/.f64 y x) 4)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 x 8) (/.f64 1 y)))) (-.f64 0 (.f64 2 (.f64 y 8))))
(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 -1 y)))) (-.f64 0 (.f64 (neg.f64 y) 4)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (/.f64 y x) (/.f64 1 y)))) (-.f64 0 (.f64 (/.f64 y x) (*.f64 y (/.f64 2 x)))))
(/.f64 (neg.f64 (.f64 2 (.f64 y (.f64 x -2)))) (-.f64 0 (.f64 (neg.f64 y) 4)))
(/.f64 (neg.f64 (/.f64 (*.f64 x y) 2)) (-.f64 0 (/.f64 y 2)))
(/.f64 (neg.f64 (/.f64 (.f64 x y) 1/2)) (.f64 y -2))
(/.f64 (neg.f64 (/.f64 (/.f64 -2 (/.f64 -1 y)) y)) (-.f64 0 (/.f64 2 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) y)) (-.f64 0 (/.f64 (/.f64 y x) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) (/.f64 y x))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 x 8)))) (*.f64 y 8))
(/.f64 (neg.f64 (neg.f64 (/.f64 -2 (/.f64 -1 y)))) (*.f64 y (/.f64 2 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 x 8) (/.f64 1 y)))) (.f64 y 8))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1 y)))) (*.f64 y -2))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 y x) (/.f64 1 y)))) (*.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 x -2)))) (*.f64 y -2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x (.f64 y 4))))) (neg.f64 (*.f64 y 4)))
(pow.f64 x 1)
(neg.f64 (neg.f64 x))
(neg.f64 (/.f64 x (/.f64 y (neg.f64 y))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 x (/.f64 0 y))
x
(+.f64 x (/.f64 0 (/.f64 -1 y)))
x
(+.f64 0 x)
x
(+.f64 -1 (-.f64 x -1))
x
(+.f64 -1 (-.f64 1 (/.f64 x (/.f64 y (neg.f64 y)))))
x
(+.f64 (/.f64 x 2) (/.f64 x 2))
x
(+.f64 (-.f64 x -1) -1)
x
(+.f64 (/.f64 0 y) x)
x
(+.f64 (/.f64 0 (/.f64 -1 y)) x)
x
(-.f64 x 0)
x
(-.f64 0 (neg.f64 x))
x
(-.f64 0 (/.f64 x (/.f64 y (neg.f64 y))))
x
(/.f64 x 1)
x
(/.f64 x (neg.f64 (/.f64 y (neg.f64 y))))
x
(/.f64 y (/.f64 y x))
x
(/.f64 y (neg.f64 (neg.f64 (/.f64 y x))))
x
(/.f64 y (-.f64 0 (neg.f64 (/.f64 y x))))
x
(/.f64 y (-.f64 0 (/.f64 -1 (/.f64 x y))))
x
(/.f64 (/.f64 x y) (/.f64 1 y))
x
(/.f64 (/.f64 x y) (-.f64 0 (/.f64 -1 y)))
x
(/.f64 1 (/.f64 1 x))
x
(/.f64 (+.f64 x x) 2)
x
(/.f64 (+.f64 x x) (-.f64 0 (*.f64 2 (/.f64 y (neg.f64 y)))))
x
(/.f64 (+.f64 y y) (*.f64 y (/.f64 2 x)))
x
(/.f64 2 (*.f64 2 (/.f64 1 x)))
x
(/.f64 2 (/.f64 2 x))
x
(/.f64 (*.f64 (/.f64 x y) 2) (/.f64 2 y))
x
(/.f64 (*.f64 x 4) 4)
x
(/.f64 (.f64 y 4) (.f64 (/.f64 y x) 4))
x
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) x))
x
(/.f64 (/.f64 1 y) (/.f64 (/.f64 -2 x) (*.f64 y -2)))
x
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) y))
x
(/.f64 (neg.f64 x) -1)
x
(/.f64 (neg.f64 x) (/.f64 y (neg.f64 y)))
x
(/.f64 (neg.f64 y) (neg.f64 (/.f64 y x)))
x
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
x
(/.f64 -1 (/.f64 -1 x))
x
(/.f64 (.f64 y (/.f64 2 x)) (.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 y)))
(.f64 (/.f64 2 x) (/.f64 y (.f64 (/.f64 2 y) (*.f64 (/.f64 y x) (/.f64 y x)))))
(/.f64 y (/.f64 2 (/.f64 (.f64 y (/.f64 2 x)) (.f64 (/.f64 y x) (/.f64 y x)))))
(/.f64 (/.f64 (.f64 y (/.f64 2 x)) (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 2 y))
(/.f64 4 (/.f64 (.f64 y 4) (.f64 x y)))
x
(/.f64 4 (.f64 2 (.f64 2 (/.f64 1 x))))
x
(/.f64 4 (*.f64 2 (/.f64 2 x)))
x
(/.f64 (.f64 (/.f64 x y) 4) (.f64 2 (/.f64 2 y)))
x
(/.f64 (*.f64 x 8) 8)
x
(/.f64 (.f64 y 8) (.f64 (/.f64 y x) 8))
x
(/.f64 (*.f64 x -2) -2)
x
(/.f64 (.f64 x -2) (.f64 2 (/.f64 y (neg.f64 y))))
x
(/.f64 (*.f64 x y) y)
x
(/.f64 (/.f64 y (/.f64 1/2 x)) (+.f64 y y))
x
(/.f64 (/.f64 y (/.f64 1/2 x)) (/.f64 -2 (/.f64 -1 y)))
x
(/.f64 (.f64 x (.f64 y 4)) (*.f64 y 4))
x
(/.f64 (.f64 x (.f64 y 4)) (/.f64 -4 (/.f64 -1 y)))
x
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
x
(/.f64 (/.f64 y (neg.f64 y)) (/.f64 -1 x))
x
(/.f64 1/2 (/.f64 1/2 x))
x
(/.f64 (.f64 y -2) (.f64 2 (neg.f64 (/.f64 y x))))
x
(/.f64 (.f64 y -2) (.f64 2 (/.f64 -1 (/.f64 x y))))
x
(/.f64 (.f64 y -2) (neg.f64 (.f64 y (/.f64 2 x))))
x
(/.f64 8 (.f64 2 (/.f64 (.f64 y 4) (*.f64 x y))))
x
(/.f64 -2 (-.f64 0 (*.f64 2 (/.f64 1 x))))
x
(/.f64 -2 (-.f64 0 (/.f64 2 x)))
x
(/.f64 (.f64 (/.f64 y x) 4) (.f64 2 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 y))))
x
(/.f64 (.f64 (/.f64 x y) 8) (.f64 (/.f64 1 y) 8))
x
(/.f64 (.f64 2 (.f64 x 8)) 16)
x
(/.f64 (*.f64 (neg.f64 x) 4) -4)
x
(/.f64 (.f64 (neg.f64 x) 4) (.f64 (/.f64 2 y) (*.f64 y -2)))
(.f64 4 (/.f64 (neg.f64 x) (.f64 y (*.f64 -2 (/.f64 2 y)))))
(/.f64 (.f64 x -4) (.f64 y (*.f64 (/.f64 2 y) -2)))
(/.f64 (/.f64 y (/.f64 2 (.f64 x -4))) (.f64 y -2))
(/.f64 (.f64 y (.f64 x 8)) (*.f64 y 8))
x
(/.f64 (/.f64 (/.f64 x y) 1/4) (/.f64 4 y))
x
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 y))
x
(/.f64 (/.f64 -2 (/.f64 -1 y)) (*.f64 y (/.f64 2 x)))
x
(/.f64 (/.f64 (*.f64 (/.f64 x y) 4) (/.f64 1 y)) 4)
x
(/.f64 (/.f64 (.f64 x 8) (/.f64 1 y)) (.f64 y 8))
x
(/.f64 (/.f64 (*.f64 x 8) (/.f64 1 y)) (/.f64 -8 (/.f64 -1 y)))
x
(/.f64 (/.f64 (+.f64 x x) (/.f64 -1 y)) (*.f64 y -2))
x
(/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) (*.f64 (/.f64 y x) (/.f64 y x)))
x
(/.f64 (/.f64 x (/.f64 y (neg.f64 y))) -1)
x
(/.f64 (/.f64 x (+.f64 y y)) (*.f64 (/.f64 1 y) 1/2))
x
(/.f64 -4 (-.f64 0 (/.f64 (.f64 y 4) (.f64 x y))))
x
(/.f64 (/.f64 x 2) 1/2)
x
(/.f64 (/.f64 y 2) (/.f64 (/.f64 y x) 2))
x
(/.f64 (neg.f64 (.f64 y 4)) (-.f64 0 (.f64 (/.f64 y x) 4)))
x
(/.f64 (/.f64 -1 y) (-.f64 0 (/.f64 (/.f64 1 y) x)))
x
(/.f64 (neg.f64 (*.f64 (/.f64 x y) 2)) (neg.f64 (/.f64 2 y)))
x
(/.f64 (.f64 y (.f64 x -2)) (*.f64 y -2))
x
(/.f64 (.f64 y (.f64 x -2)) (neg.f64 (/.f64 -2 (/.f64 -1 y))))
x
(/.f64 (neg.f64 (.f64 x (.f64 y 4))) (neg.f64 (*.f64 y 4)))
x
(/.f64 (.f64 2 (/.f64 x (neg.f64 y))) (.f64 2 (/.f64 -1 y)))
x
(/.f64 (.f64 2 (.f64 y (.f64 x 8))) (.f64 2 (*.f64 y 8)))
x
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 x y) 4) (/.f64 1 y))) 8)
x
(/.f64 (.f64 2 (/.f64 (.f64 x 8) (/.f64 1 y))) (.f64 2 (.f64 y 8)))
x
(/.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 -1 y))) (.f64 (neg.f64 y) 4))
x
(/.f64 (.f64 2 (/.f64 (/.f64 y x) (/.f64 1 y))) (.f64 (/.f64 y x) (*.f64 y (/.f64 2 x))))
(/.f64 (.f64 2 (/.f64 y (.f64 x (/.f64 1 y)))) (.f64 y (.f64 (/.f64 2 x) (/.f64 y x))))
(/.f64 (.f64 2 (/.f64 y (/.f64 1 (/.f64 x x)))) (.f64 y (/.f64 2 x)))
(/.f64 (.f64 y 2) (.f64 y (/.f64 2 x)))
(/.f64 (.f64 2 (.f64 y (.f64 x -2))) (.f64 (neg.f64 y) 4))
x
(/.f64 (.f64 2 (neg.f64 (.f64 x (.f64 y 4)))) (.f64 2 (neg.f64 (*.f64 y 4))))
x
(/.f64 -1/2 (neg.f64 (/.f64 1/2 x)))
x
(/.f64 (*.f64 2 (/.f64 x (/.f64 y (neg.f64 y)))) -2)
x
(/.f64 (.f64 2 (/.f64 -2 (/.f64 -1 y))) (.f64 (/.f64 y x) 4))
x
(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
x
(/.f64 (/.f64 (*.f64 x y) 2) (/.f64 y 2))
x
(/.f64 (/.f64 (.f64 x y) (.f64 y 4)) 1/4)
x
(/.f64 (/.f64 (*.f64 x y) 1/2) (+.f64 y y))
x
(/.f64 (/.f64 (/.f64 -2 (/.f64 -1 y)) y) (/.f64 2 x))
x
(/.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) y) (/.f64 (/.f64 y x) x))
x
(/.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) (/.f64 y x)) (/.f64 y x))
x
(/.f64 (neg.f64 (.f64 y (/.f64 2 x))) (-.f64 0 (.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 y))))
(.f64 (/.f64 2 x) (/.f64 y (.f64 (/.f64 2 y) (*.f64 (/.f64 y x) (/.f64 y x)))))
(/.f64 y (/.f64 2 (/.f64 (.f64 y (/.f64 2 x)) (.f64 (/.f64 y x) (/.f64 y x)))))
(/.f64 (/.f64 (.f64 y (/.f64 2 x)) (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 2 y))
(/.f64 (neg.f64 (/.f64 y (neg.f64 y))) (-.f64 0 (/.f64 -1 x)))
x
(/.f64 (neg.f64 (.f64 (/.f64 x y) 4)) (-.f64 0 (.f64 2 (/.f64 2 y))))
x
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) 2))) (/.f64 2 y))
x
(/.f64 (neg.f64 (.f64 y (.f64 x 8))) (neg.f64 (*.f64 y 8)))
x
(/.f64 (neg.f64 (/.f64 -2 (/.f64 -1 y))) (neg.f64 (*.f64 y (/.f64 2 x))))
x
(/.f64 (neg.f64 (/.f64 (.f64 x 8) (/.f64 1 y))) (neg.f64 (.f64 y 8)))
x
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1 y))) (+.f64 y y))
x
(/.f64 (neg.f64 (/.f64 (/.f64 y x) (/.f64 1 y))) (neg.f64 (*.f64 (/.f64 y x) (/.f64 y x))))
x
(/.f64 (neg.f64 (.f64 y (.f64 x -2))) (+.f64 y y))
x
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 y 4)))) (*.f64 y 4))
x
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 y 4)))) (-.f64 0 (neg.f64 (*.f64 y 4))))
x
(/.f64 (/.f64 (*.f64 x 8) y) (/.f64 8 y))
x
(/.f64 (neg.f64 (/.f64 y 2)) (-.f64 0 (/.f64 (/.f64 y x) 2)))
x
(/.f64 (neg.f64 (/.f64 y 1/2)) (neg.f64 (*.f64 y (/.f64 2 x))))
x
(/.f64 (neg.f64 (/.f64 x (+.f64 y y))) (-.f64 0 (*.f64 (/.f64 1 y) 1/2)))
x
(/.f64 (neg.f64 (.f64 2 (.f64 y (.f64 x 8)))) (-.f64 0 (.f64 2 (*.f64 y 8))))
x
(/.f64 (neg.f64 (.f64 2 (/.f64 -2 (/.f64 -1 y)))) (-.f64 0 (.f64 (/.f64 y x) 4)))
x
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 x 8) (/.f64 1 y)))) (-.f64 0 (.f64 2 (.f64 y 8))))
x
(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 -1 y)))) (-.f64 0 (.f64 (neg.f64 y) 4)))
x
(/.f64 (neg.f64 (.f64 2 (/.f64 (/.f64 y x) (/.f64 1 y)))) (-.f64 0 (.f64 (/.f64 y x) (*.f64 y (/.f64 2 x)))))
(/.f64 (.f64 2 (/.f64 y (.f64 x (/.f64 1 y)))) (.f64 y (.f64 (/.f64 2 x) (/.f64 y x))))
(/.f64 (.f64 2 (/.f64 y (/.f64 1 (/.f64 x x)))) (.f64 y (/.f64 2 x)))
(/.f64 (.f64 y 2) (.f64 y (/.f64 2 x)))
(/.f64 (neg.f64 (.f64 2 (.f64 y (.f64 x -2)))) (-.f64 0 (.f64 (neg.f64 y) 4)))
x
(/.f64 (neg.f64 (/.f64 (*.f64 x y) 2)) (-.f64 0 (/.f64 y 2)))
x
(/.f64 (neg.f64 (/.f64 (.f64 x y) 1/2)) (.f64 y -2))
x
(/.f64 (neg.f64 (/.f64 (/.f64 -2 (/.f64 -1 y)) y)) (-.f64 0 (/.f64 2 x)))
x
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) y)) (-.f64 0 (/.f64 (/.f64 y x) x)))
x
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) (/.f64 y x))) (neg.f64 (/.f64 y x)))
x
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 x 8)))) (*.f64 y 8))
x
(/.f64 (neg.f64 (neg.f64 (/.f64 -2 (/.f64 -1 y)))) (*.f64 y (/.f64 2 x)))
x
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 x 8) (/.f64 1 y)))) (.f64 y 8))
x
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 -1 y)))) (*.f64 y -2))
x
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 y x) (/.f64 1 y)))) (*.f64 (/.f64 y x) (/.f64 y x)))
x
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 x -2)))) (*.f64 y -2))
x
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x (.f64 y 4))))) (neg.f64 (*.f64 y 4)))
x
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x
(neg.f64 (/.f64 x (/.f64 y (neg.f64 y))))
x

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.6b	(/.f64 (/.f64 x y) (/.f64 -1 z))

Compiler

Compiled 20 to 10 computations (50% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (/.f64 x y) (/.f64 -1 z))
0.0ms	x	@	0	(/.f64 (/.f64 x y) (/.f64 -1 z))
0.0ms	x	@	inf	(/.f64 (/.f64 x y) (/.f64 -1 z))
0.0ms	y	@	inf	(/.f64 (/.f64 x y) (/.f64 -1 z))
0.0ms	z	@	inf	(/.f64 (/.f64 x y) (/.f64 -1 z))

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-simplify-50`
1184×	`exponential.json-3`
1184×	`rational.json-1`
1184×	`rational.json-2`
1184×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	76	19
2	271	17
3	1009	17
4	3715	17

Stop Event

1×	node limit

Counts

1 → 105

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 2 (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 y (neg.f64 (/.f64 -1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 (/.f64 y (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 x y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 x x) (/.f64 2 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 z (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (neg.f64 z) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (/.f64 1 y) -2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (/.f64 (neg.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (*.f64 (neg.f64 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (/.f64 1 (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (*.f64 -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 x (/.f64 2 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (/.f64 (*.f64 x -1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (/.f64 2 (/.f64 y (/.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 x y) (*.f64 (/.f64 -1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (/.f64 (*.f64 y -2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 x y) (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 z (*.f64 y (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 z (*.f64 y -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (neg.f64 z) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (*.f64 x -1/2) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (neg.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 4) (/.f64 1 (*.f64 (/.f64 y (neg.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 4) (/.f64 1 (/.f64 y (/.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (neg.f64 z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -2) (/.f64 z y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (/.f64 -1 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 z -2)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (neg.f64 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 (/.f64 -1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 (/.f64 1 y) (neg.f64 (/.f64 -1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) y) (/.f64 -1 (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x z) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -2) (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 1 (/.f64 2 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (/.f64 x (*.f64 (/.f64 -1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (/.f64 x (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (*.f64 x -1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 2 y)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 x -2) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x (*.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (*.f64 y -2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 z) 2) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/2) (*.f64 z (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/2) y) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (neg.f64 z) y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 z) 1/2) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 -1 z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y y)) (*.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (/.f64 -1 z) 2)) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (*.f64 y -2) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 -2 z)) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (/.f64 -2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -2 z)) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 -2 z)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (*.f64 y (/.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (neg.f64 x)) 4)) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (/.f64 x -4))) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 y (/.f64 x -4))) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (neg.f64 z)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 -1 z) 4)) (*.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y (neg.f64 (/.f64 -1 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (neg.f64 (/.f64 -1 z)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 (/.f64 y (neg.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (neg.f64 z))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 -1 z)) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (neg.f64 (/.f64 -1 z))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (/.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 z)) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (/.f64 1 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 2 (/.f64 z y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (/.f64 z y))) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (/.f64 2 (/.f64 z y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (neg.f64 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (neg.f64 z) 2) (/.f64 (neg.f64 z) 2)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 z (*.f64 y -2)) (/.f64 z (*.f64 y -2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 z y)))))))

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1142×	`rational.json-simplify-47`
1138×	`rational.json-simplify-44`
896×	`rational.json-simplify-35`
882×	`rational.json-simplify-61`
832×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	2545
1	496	2493
2	1240	2461
3	4557	2461
4	7210	2461

Stop Event

1×	node limit

Counts

141 → 116

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 z x) y))
(+.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 0)
(+.f64 0 (*.f64 (/.f64 x y) (neg.f64 z)))
(-.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 0)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 (/.f64 x y) (/.f64 2 (/.f64 -2 z)))
(.f64 -1 (.f64 x (/.f64 z y)))
(.f64 -1 (/.f64 x (.f64 y (neg.f64 (/.f64 -1 z)))))
(*.f64 -1 (/.f64 x (neg.f64 (/.f64 y (neg.f64 z)))))
(*.f64 -1 (/.f64 x (/.f64 y z)))
(*.f64 -1 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1 z))))
(*.f64 -1 (/.f64 (/.f64 x y) (/.f64 1 z)))
(*.f64 -1 (/.f64 (+.f64 x x) (/.f64 2 (/.f64 z y))))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 (/.f64 x y) (neg.f64 z)) 1)
(.f64 1 (.f64 (/.f64 x y) (neg.f64 z)))
(.f64 (+.f64 x x) (/.f64 z (.f64 y -2)))
(.f64 (+.f64 x x) (.f64 (/.f64 (neg.f64 z) y) 1/2))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1 y) -2) z))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 (neg.f64 z) 2))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 (neg.f64 z) 1/2))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 1 (/.f64 -2 z)))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 -1/2 z))
(*.f64 -2 (/.f64 x (/.f64 2 (/.f64 z y))))
(.f64 (+.f64 z z) (/.f64 (.f64 x -1/2) y))
(*.f64 (+.f64 z z) (/.f64 2 (/.f64 y (/.f64 x -4))))
(.f64 (neg.f64 (.f64 x z)) (/.f64 1 y))
(.f64 2 (/.f64 (/.f64 x y) (.f64 (/.f64 -1 z) 2)))
(.f64 2 (/.f64 x (/.f64 (.f64 y -2) z)))
(*.f64 2 (/.f64 (/.f64 x y) (/.f64 -2 z)))
(.f64 2 (/.f64 z (.f64 y (/.f64 -2 x))))
(.f64 2 (/.f64 (.f64 (/.f64 x y) (neg.f64 z)) 2))
(.f64 2 (.f64 (/.f64 z (*.f64 y -2)) x))
(.f64 2 (.f64 (/.f64 (neg.f64 z) 2) (/.f64 x y)))
(.f64 2 (.f64 (/.f64 (*.f64 x -1/2) y) z))
(.f64 2 (.f64 (/.f64 1/2 y) (neg.f64 (*.f64 x z))))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 (/.f64 y (neg.f64 x)) 4)))
(.f64 (.f64 z 4) (/.f64 1 (/.f64 y (/.f64 x -4))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (neg.f64 z)) 4)))
(.f64 (.f64 (*.f64 x -2) (/.f64 z y)) 1/2)
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (/.f64 -1 z) 4)))
(.f64 (.f64 x (*.f64 z -2)) (/.f64 1/2 y))
(.f64 (/.f64 1 y) (neg.f64 (.f64 x z)))
(*.f64 (/.f64 (neg.f64 z) y) x)
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 z y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 (/.f64 -1 z)))))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (neg.f64 z))))
(*.f64 (neg.f64 x) (/.f64 (/.f64 1 y) (neg.f64 (/.f64 -1 z))))
(*.f64 (neg.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 z)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 -1 (/.f64 -1 z)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 1 z)))
(.f64 (.f64 x z) (/.f64 -1 y))
(.f64 (.f64 z -2) (/.f64 x (+.f64 y y)))
(.f64 (.f64 x -2) (/.f64 1 (/.f64 2 (/.f64 z y))))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x (*.f64 (/.f64 -1 z) 2)))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x (/.f64 -2 z)))
(.f64 (.f64 2 (/.f64 1 y)) (.f64 (.f64 x -1/2) z))
(*.f64 (/.f64 z y) (neg.f64 x))
(.f64 (.f64 z (/.f64 2 y)) (*.f64 x -1/2))
(.f64 (.f64 x (/.f64 z y)) -1)
(.f64 1/2 (.f64 (*.f64 x -2) (/.f64 z y)))
(.f64 (/.f64 1/2 y) (.f64 x (*.f64 z -2)))
(.f64 (/.f64 z (.f64 y -2)) (+.f64 x x))
(.f64 (/.f64 (neg.f64 z) 2) (.f64 x (/.f64 2 y)))
(.f64 (.f64 x -1/2) (*.f64 z (/.f64 2 y)))
(.f64 (/.f64 (.f64 x -1/2) y) (+.f64 z z))
(.f64 (.f64 (/.f64 (neg.f64 z) y) 1/2) (+.f64 x x))
(.f64 (.f64 (neg.f64 z) 1/2) (*.f64 x (/.f64 2 y)))
(.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 -1 z) 2)) 2)
(.f64 (/.f64 x (+.f64 y y)) (.f64 z -2))
(.f64 (/.f64 x (.f64 (/.f64 -1 z) 2)) (*.f64 2 (/.f64 1 y)))
(.f64 (/.f64 x (/.f64 (.f64 y -2) z)) 2)
(.f64 (/.f64 x (/.f64 -2 z)) (.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 (/.f64 x y) (/.f64 -2 z)) 2)
(.f64 (/.f64 1 (/.f64 -2 z)) (.f64 x (/.f64 2 y)))
(*.f64 (/.f64 2 (/.f64 -2 z)) (/.f64 x y))
(.f64 (/.f64 z (.f64 y (/.f64 -2 x))) 2)
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(*.f64 (/.f64 2 (/.f64 y (/.f64 x -4))) (+.f64 z z))
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(.f64 (/.f64 x (.f64 y (neg.f64 (/.f64 -1 z)))) -1)
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(*.f64 (/.f64 x (/.f64 y z)) -1)
(*.f64 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1 z))) -1)
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(*.f64 (/.f64 (+.f64 x x) (/.f64 2 (/.f64 z y))) -1)
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(.f64 (+.f64 (/.f64 z (.f64 y -2)) (/.f64 z (*.f64 y -2))) x)
(pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1)
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(*.f64 (/.f64 (neg.f64 x) y) z)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 -1 (/.f64 -1 z)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 1 z)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 x z) (/.f64 -1 y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 z -2) (/.f64 x (+.f64 y y)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 x -2) (/.f64 1 (/.f64 2 (/.f64 z y))))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x (*.f64 (/.f64 -1 z) 2)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x (/.f64 -2 z)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 2 (/.f64 1 y)) (.f64 (.f64 x -1/2) z))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 z (/.f64 2 y)) (*.f64 x -1/2))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 x (/.f64 z y)) -1)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 1/2 (.f64 (*.f64 x -2) (/.f64 z y)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1/2 y) (.f64 x (*.f64 z -2)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 z (.f64 y -2)) (+.f64 x x))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (neg.f64 z) 2) (.f64 x (/.f64 2 y)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 x -1/2) (*.f64 z (/.f64 2 y)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (.f64 x -1/2) y) (+.f64 z z))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 (/.f64 (neg.f64 z) y) 1/2) (+.f64 x x))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (.f64 (neg.f64 z) 1/2) (*.f64 x (/.f64 2 y)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 -1 z) 2)) 2)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x (+.f64 y y)) (.f64 z -2))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x (.f64 (/.f64 -1 z) 2)) (*.f64 2 (/.f64 1 y)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x (/.f64 (.f64 y -2) z)) 2)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x (/.f64 -2 z)) (.f64 2 (/.f64 1 y)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 x y) (/.f64 -2 z)) 2)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (/.f64 -2 z)) (.f64 x (/.f64 2 y)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 2 (/.f64 -2 z)) (/.f64 x y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 z (.f64 y (/.f64 -2 x))) 2)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (.f64 (/.f64 y (neg.f64 x)) 4)) (*.f64 z 4))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 4 (/.f64 y (neg.f64 x)))))
(.f64 (.f64 z 4) (/.f64 (/.f64 (neg.f64 x) y) 4))
(.f64 (.f64 z 4) (/.f64 x (*.f64 y -4)))
(.f64 z (.f64 4 (/.f64 x (*.f64 y -4))))
(.f64 (/.f64 1 (/.f64 y (/.f64 x -4))) (.f64 z 4))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 4 (/.f64 y (neg.f64 x)))))
(.f64 (.f64 z 4) (/.f64 (/.f64 (neg.f64 x) y) 4))
(.f64 (.f64 z 4) (/.f64 x (*.f64 y -4)))
(.f64 z (.f64 4 (/.f64 x (*.f64 y -4))))
(*.f64 (/.f64 2 (/.f64 y (/.f64 x -4))) (+.f64 z z))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (.f64 (/.f64 y (neg.f64 z)) 4)) (*.f64 x 4))
(.f64 x (.f64 4 (/.f64 1 (*.f64 (/.f64 y (neg.f64 z)) 4))))
(.f64 4 (.f64 (/.f64 1/4 (/.f64 y (neg.f64 z))) x))
(.f64 4 (.f64 x (*.f64 (/.f64 z y) -1/4)))
(.f64 4 (.f64 x (/.f64 (*.f64 z -1/4) y)))
(.f64 (/.f64 (.f64 (/.f64 x y) (neg.f64 z)) 2) 2)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (.f64 (/.f64 -1 z) 4)) (*.f64 (/.f64 x y) 4))
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (/.f64 -1 z) 4)))
(.f64 (/.f64 x y) (.f64 4 (/.f64 (neg.f64 z) 4)))
(.f64 (/.f64 x y) (.f64 4 (*.f64 z -1/4)))
(.f64 (/.f64 x (.f64 y (neg.f64 (/.f64 -1 z)))) -1)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (.f64 y (neg.f64 (/.f64 -1 z)))) (neg.f64 x))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (neg.f64 (/.f64 y (neg.f64 z)))) -1)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 -1 (/.f64 y (neg.f64 z))) (neg.f64 x))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (/.f64 y z)) -1)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 x y) (neg.f64 (/.f64 -1 z))) -1)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 -1 (/.f64 -1 z)) (/.f64 (neg.f64 x) y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 1 y) (neg.f64 (/.f64 -1 z))) (neg.f64 x))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 x y) (/.f64 1 z)) -1)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 1 (/.f64 1 z)) (/.f64 (neg.f64 x) y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 z)) (neg.f64 x))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 -1 y) (.f64 x z))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (/.f64 2 (/.f64 z y))) -2)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (/.f64 2 (/.f64 z y))) (.f64 x -2))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (+.f64 x x) (/.f64 2 (/.f64 z y))) -1)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (neg.f64 (.f64 x z)))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (+.f64 (/.f64 (neg.f64 z) 2) (/.f64 (neg.f64 z) 2)) (/.f64 x y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(.f64 (+.f64 (/.f64 z (.f64 y -2)) (/.f64 z (*.f64 y -2))) x)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1)
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))

eval122.0ms (1.1%)

Compiler: Compiled 3113 to 1778 computations (42.9% saved)

prune154.0ms (1.4%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	312	3	315
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	312	12	324

Error

Counts

324 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.8b	(/.f64 (/.f64 x y) (/.f64 -1 z))
✓	42.3b	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	34.7b	(/.f64 (*.f64 y x) y)
▶	31.9b	(/.f64 y (/.f64 y x))
✓	2.6b	(/.f64 x (/.f64 y (-.f64 y z)))
▶	23.1b	(/.f64 2 (/.f64 2 x))
▶	40.1b	(+.f64 (-.f64 x -1) -1)
✓	31.3b	(*.f64 (/.f64 x y) y)
✓	2.6b	(*.f64 x (/.f64 (-.f64 y z) y))
✓	42.6b	(*.f64 x (neg.f64 (/.f64 z y)))
✓	42.5b	(neg.f64 (/.f64 z (/.f64 y x)))
	23.0b	x

Compiler

Compiled 101 to 69 computations (31.7% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.8b	(+.f64 (-.f64 x -1) -1)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite213.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2220×	`rational.json-simplify-35`
2076×	`rational.json-simplify-2`
1596×	`rational.json-simplify-1`
1078×	`exponential.json-3`
1078×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	45	1
2	113	1
3	228	1
4	468	1
5	1053	1
6	2099	1
7	3370	1
8	4752	1
9	5608	1
10	6369	1
11	6495	1
12	6495	1
13	7442	1

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x x) 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x x) 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x x) 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x x) 8))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x x) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x x) 8)))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify458.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

3494×	`rational.json-simplify-48`
2500×	`rational.json-simplify-1`
1578×	`rational.json-simplify-35`
1164×	`rational.json-simplify-41`
1140×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	38
1	124	38
2	355	38
3	1138	38
4	2186	38
5	3613	38
6	3865	38
7	4365	38
8	4536	38
9	4649	38
10	4754	38
11	5648	38
12	5775	38
13	5909	38
14	6036	38
15	6147	38
16	6261	38
17	6329	38
18	6357	38
19	7136	38
20	7297	38
21	7344	38
22	7697	38

Stop Event

1×	node limit

Counts

38 → 27

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 x 0)
(-.f64 (+.f64 x 1) 1)
(-.f64 (+.f64 x -1) -1)
(*.f64 x 1)
(*.f64 1 x)
(.f64 2 (.f64 x 1/2))
(*.f64 (+.f64 x x) 1/2)
(.f64 4 (.f64 x 1/4))
(.f64 (.f64 x 4) 1/4)
(*.f64 1/2 (+.f64 x x))
(.f64 (.f64 x 8) 1/8)
(.f64 (.f64 x 1/2) 2)
(.f64 1/4 (.f64 x 4))
(.f64 (.f64 x 1/4) 4)
(.f64 1/8 (.f64 x 8))
(/.f64 x 1)
(/.f64 (+.f64 x x) 2)
(/.f64 (*.f64 x 4) 4)
(/.f64 (*.f64 x 8) 8)
(/.f64 (*.f64 (+.f64 x x) 8) 16)
(/.f64 (.f64 2 (.f64 (+.f64 x x) 8)) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 x x) 8))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x x) 8)))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 x x) 8))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x x) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x x) 8)))))) 512)
(pow.f64 x 1)

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 x 0)
x
(-.f64 (+.f64 x 1) 1)
x
(-.f64 (+.f64 x -1) -1)
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(.f64 2 (.f64 x 1/2))
x
(*.f64 (+.f64 x x) 1/2)
x
(.f64 4 (.f64 x 1/4))
x
(.f64 (.f64 x 4) 1/4)
x
(*.f64 1/2 (+.f64 x x))
x
(.f64 (.f64 x 8) 1/8)
x
(.f64 (.f64 x 1/2) 2)
x
(.f64 1/4 (.f64 x 4))
x
(.f64 (.f64 x 1/4) 4)
x
(.f64 1/8 (.f64 x 8))
x
(/.f64 x 1)
x
(/.f64 (+.f64 x x) 2)
x
(/.f64 (*.f64 x 4) 4)
x
(/.f64 (*.f64 x 8) 8)
x
(/.f64 (*.f64 (+.f64 x x) 8) 16)
x
(/.f64 (.f64 2 (.f64 (+.f64 x x) 8)) 32)
x
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 x x) 8))) 64)
x
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x x) 8)))) 128)
x
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 x x) 8))))) 256)
x
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x x) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x x) 8)))))) 512)
x
(pow.f64 x 1)
x

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (/.f64 2 x))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 2 (/.f64 2 x))
0.0ms	x	@	inf	(/.f64 2 (/.f64 2 x))
0.0ms	x	@	-inf	(/.f64 2 (/.f64 2 x))

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`rational.json-simplify-35`
916×	`rational.json-1`
916×	`rational.json-2`
916×	`rational.json-4`
916×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	45	1
2	124	1
3	319	1
4	860	1
5	2740	1

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(/.f64 2 (/.f64 2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 1/2) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 2 (/.f64 (/.f64 4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (/.f64 2 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/4)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (*.f64 x 1/4) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (*.f64 x (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (*.f64 (*.f64 x 1/2) 1/4) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (+.f64 1 (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/4)) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 x x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (/.f64 4 x)) (/.f64 (/.f64 4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 2 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) (/.f64 x (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (/.f64 4 x) (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 1 (*.f64 x x))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 x) (/.f64 1 (*.f64 x x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (/.f64 4 x) x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x 1/4)) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (/.f64 4 x)) (/.f64 (/.f64 4 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fabs.f64 x) (fabs.f64 x)) (*.f64 (*.f64 1/4 (fabs.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (fabs.f64 x)) (*.f64 1/2 (fabs.f64 x))) (*.f64 (*.f64 1/2 (fabs.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1638×	`rational.json-simplify-51`
1638×	`rational.json-simplify-35`
1004×	`rational.json-simplify-39`
674×	`rational.json-simplify-2`
624×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	124
1	247	112
2	1212	88
3	3116	88

Stop Event

1×	node limit

Counts

64 → 56

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 0 x)
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
(+.f64 -1 (-.f64 x -1))
(+.f64 (-.f64 x -1) -1)
(-.f64 x 0)
(-.f64 0 (neg.f64 x))
(.f64 2 (.f64 x 1/2))
(*.f64 x 1)
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 2 x)))
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/2)))
(*.f64 (/.f64 2 x) (/.f64 2 (/.f64 (/.f64 4 x) x)))
(*.f64 1 x)
(.f64 1 (.f64 (/.f64 x (/.f64 2 x)) (/.f64 2 x)))
(.f64 4 (.f64 x 1/4))
(.f64 4 (.f64 (.f64 (.f64 x 1/2) (*.f64 x 1/4)) (/.f64 2 x)))
(*.f64 (+.f64 x x) 1/2)
(.f64 (+.f64 x x) (.f64 (*.f64 x 1/4) (/.f64 2 x)))
(.f64 (/.f64 4 x) (.f64 x (*.f64 x 1/4)))
(.f64 (.f64 x 4) 1/4)
(.f64 (.f64 x 4) (.f64 (.f64 (*.f64 x 1/2) 1/4) (/.f64 2 x)))
(*.f64 (neg.f64 x) -1)
(.f64 (.f64 x 1/2) 2)
(.f64 (.f64 x 1/2) (+.f64 1 (/.f64 x x)))
(.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (.f64 x x))))
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 4 x))
(.f64 (.f64 x 8) 1/8)
(.f64 (.f64 x -2) -1/2)
(*.f64 1/2 (+.f64 x x))
(.f64 1/2 (.f64 (*.f64 x x) (/.f64 2 x)))
(*.f64 -1 (neg.f64 x))
(*.f64 -1 (/.f64 (neg.f64 (/.f64 4 x)) (/.f64 (/.f64 4 x) x)))
(.f64 (.f64 x (*.f64 x 1/2)) (/.f64 2 x))
(.f64 (/.f64 1/2 x) (/.f64 2 (/.f64 1 (.f64 x x))))
(.f64 (.f64 x 1/4) 4)
(.f64 (.f64 x 1/4) (/.f64 x (*.f64 x 1/4)))
(.f64 1/4 (.f64 x 4))
(.f64 1/4 (/.f64 (/.f64 4 x) (/.f64 1 (.f64 x x))))
(.f64 -1/2 (.f64 x -2))
(.f64 1/8 (.f64 x 8))
(.f64 (/.f64 2 (/.f64 1 (.f64 x x))) (/.f64 1/2 x))
(.f64 (/.f64 1 (/.f64 1 (.f64 x x))) (/.f64 1 x))
(.f64 (/.f64 (/.f64 4 x) (/.f64 1 (.f64 x x))) 1/4)
(*.f64 (/.f64 2 (/.f64 (/.f64 4 x) x)) (/.f64 2 x))
(.f64 (/.f64 x (.f64 x 1/4)) (*.f64 x 1/4))
(*.f64 (/.f64 (neg.f64 (/.f64 4 x)) (/.f64 (/.f64 4 x) x)) -1)
(.f64 (+.f64 (/.f64 (.f64 x (.f64 x 1/2)) (.f64 x (.f64 x 1/2))) 1) (.f64 x 1/2))
(.f64 (+.f64 (fabs.f64 x) (fabs.f64 x)) (.f64 (*.f64 1/4 (fabs.f64 x)) (/.f64 2 x)))
(.f64 (+.f64 (.f64 1/2 (fabs.f64 x)) (.f64 1/2 (fabs.f64 x))) (.f64 (*.f64 1/2 (fabs.f64 x)) (/.f64 2 x)))
(pow.f64 x 1)
(neg.f64 (neg.f64 x))
(neg.f64 (/.f64 -2 (/.f64 2 x)))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 0 x)
x
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
x
(+.f64 -1 (-.f64 x -1))
x
(+.f64 (-.f64 x -1) -1)
x
(-.f64 x 0)
x
(-.f64 0 (neg.f64 x))
x
(.f64 2 (.f64 x 1/2))
x
(*.f64 x 1)
x
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 2 x)))
x
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/2)))
x
(*.f64 (/.f64 2 x) (/.f64 2 (/.f64 (/.f64 4 x) x)))
x
(*.f64 1 x)
x
(.f64 1 (.f64 (/.f64 x (/.f64 2 x)) (/.f64 2 x)))
x
(.f64 4 (.f64 x 1/4))
x
(.f64 4 (.f64 (.f64 (.f64 x 1/2) (*.f64 x 1/4)) (/.f64 2 x)))
x
(*.f64 (+.f64 x x) 1/2)
x
(.f64 (+.f64 x x) (.f64 (*.f64 x 1/4) (/.f64 2 x)))
x
(.f64 (/.f64 4 x) (.f64 x (*.f64 x 1/4)))
x
(.f64 (.f64 x 4) 1/4)
x
(.f64 (.f64 x 4) (.f64 (.f64 (*.f64 x 1/2) 1/4) (/.f64 2 x)))
x
(*.f64 (neg.f64 x) -1)
x
(.f64 (.f64 x 1/2) 2)
x
(.f64 (.f64 x 1/2) (+.f64 1 (/.f64 x x)))
x
(.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (.f64 x x))))
x
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 4 x))
x
(.f64 (.f64 x 8) 1/8)
x
(.f64 (.f64 x -2) -1/2)
x
(*.f64 1/2 (+.f64 x x))
x
(.f64 1/2 (.f64 (*.f64 x x) (/.f64 2 x)))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 -1 (/.f64 (neg.f64 (/.f64 4 x)) (/.f64 (/.f64 4 x) x)))
x
(.f64 (.f64 x (*.f64 x 1/2)) (/.f64 2 x))
x
(.f64 (/.f64 1/2 x) (/.f64 2 (/.f64 1 (.f64 x x))))
x
(.f64 (.f64 x 1/4) 4)
x
(.f64 (.f64 x 1/4) (/.f64 x (*.f64 x 1/4)))
x
(.f64 1/4 (.f64 x 4))
x
(.f64 1/4 (/.f64 (/.f64 4 x) (/.f64 1 (.f64 x x))))
(.f64 1/4 (/.f64 4 (.f64 x (/.f64 (/.f64 1 x) x))))
(.f64 1/4 (.f64 x (/.f64 x (/.f64 x 4))))
(*.f64 1/4 (/.f64 x 1/4))
(.f64 -1/2 (.f64 x -2))
x
(.f64 1/8 (.f64 x 8))
x
(.f64 (/.f64 2 (/.f64 1 (.f64 x x))) (/.f64 1/2 x))
x
(.f64 (/.f64 1 (/.f64 1 (.f64 x x))) (/.f64 1 x))
x
(.f64 (/.f64 (/.f64 4 x) (/.f64 1 (.f64 x x))) 1/4)
(.f64 1/4 (/.f64 4 (.f64 x (/.f64 (/.f64 1 x) x))))
(.f64 1/4 (.f64 x (/.f64 x (/.f64 x 4))))
(*.f64 1/4 (/.f64 x 1/4))
(*.f64 (/.f64 2 (/.f64 (/.f64 4 x) x)) (/.f64 2 x))
x
(.f64 (/.f64 x (.f64 x 1/4)) (*.f64 x 1/4))
x
(*.f64 (/.f64 (neg.f64 (/.f64 4 x)) (/.f64 (/.f64 4 x) x)) -1)
x
(.f64 (+.f64 (/.f64 (.f64 x (.f64 x 1/2)) (.f64 x (.f64 x 1/2))) 1) (.f64 x 1/2))
x
(.f64 (+.f64 (fabs.f64 x) (fabs.f64 x)) (.f64 (*.f64 1/4 (fabs.f64 x)) (/.f64 2 x)))
x
(.f64 (+.f64 (.f64 1/2 (fabs.f64 x)) (.f64 1/2 (fabs.f64 x))) (.f64 (*.f64 1/2 (fabs.f64 x)) (/.f64 2 x)))
x
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x
(neg.f64 (/.f64 -2 (/.f64 2 x)))
x

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.4b	(/.f64 y (/.f64 y x))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`rational.json-1`
1422×	`rational.json-2`
1422×	`rational.json-3`
1418×	`rational.json-4`
1402×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	45	1
2	153	1
3	565	1
4	1871	1
5	5224	1

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y (/.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (/.f64 y (/.f64 x 2))) (/.f64 y (/.f64 y (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (/.f64 y (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 y (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 y (/.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (/.f64 x y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1688×	`rational.json-simplify-35`
1126×	`rational.json-simplify-2`
1124×	`rational.json-simplify-54`
904×	`rational.json-simplify-29`
860×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	68
1	151	68
2	375	68
3	2172	68
4	7415	68

Stop Event

1×	node limit

Counts

68 → 45

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 0 x)
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 y (/.f64 y (neg.f64 x)))))
(+.f64 (/.f64 y (/.f64 y (/.f64 x 2))) (/.f64 y (/.f64 y (/.f64 x 2))))
(+.f64 (-.f64 1 (neg.f64 x)) -1)
(-.f64 x 0)
(-.f64 0 (neg.f64 x))
(-.f64 0 (/.f64 y (/.f64 y (neg.f64 x))))
(*.f64 y (/.f64 x y))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (+.f64 y y) (/.f64 (/.f64 x y) 2))
(.f64 (+.f64 y y) (.f64 (/.f64 x y) 1/2))
(*.f64 (+.f64 x x) 1/2)
(*.f64 2 (/.f64 y (/.f64 y (/.f64 x 2))))
(*.f64 2 (/.f64 x 2))
(.f64 2 (.f64 y (/.f64 (/.f64 x y) 2)))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(.f64 (.f64 x 4) 1/4)
(.f64 (/.f64 1 y) (.f64 y x))
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y x)))
(*.f64 (neg.f64 x) -1)
(*.f64 (/.f64 x y) y)
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y)))
(*.f64 -1 (neg.f64 x))
(*.f64 -1 (/.f64 y (/.f64 y (neg.f64 x))))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 y 2))
(.f64 (.f64 y x) (/.f64 1 y))
(*.f64 1/2 (+.f64 x x))
(*.f64 (/.f64 (/.f64 x y) 2) (+.f64 y y))
(.f64 (.f64 (/.f64 x y) 1/2) (+.f64 y y))
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x y))
(*.f64 (/.f64 y (/.f64 y (neg.f64 x))) -1)
(.f64 (/.f64 y 2) (.f64 x (/.f64 2 y)))
(*.f64 (/.f64 y (/.f64 y (/.f64 x 2))) 2)
(.f64 1/4 (.f64 x 4))
(*.f64 (/.f64 x 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y x) 4)) (*.f64 y 4))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
(.f64 (.f64 y (/.f64 (/.f64 x y) 2)) 2)
(pow.f64 x 1)
(neg.f64 (neg.f64 x))
(neg.f64 (/.f64 y (/.f64 y (neg.f64 x))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 0 x)
x
(+.f64 -1 (-.f64 1 (neg.f64 x)))
x
(+.f64 -1 (-.f64 1 (/.f64 y (/.f64 y (neg.f64 x)))))
x
(+.f64 (/.f64 y (/.f64 y (/.f64 x 2))) (/.f64 y (/.f64 y (/.f64 x 2))))
x
(+.f64 (-.f64 1 (neg.f64 x)) -1)
x
(-.f64 x 0)
x
(-.f64 0 (neg.f64 x))
x
(-.f64 0 (/.f64 y (/.f64 y (neg.f64 x))))
x
(*.f64 y (/.f64 x y))
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(*.f64 (+.f64 y y) (/.f64 (/.f64 x y) 2))
x
(.f64 (+.f64 y y) (.f64 (/.f64 x y) 1/2))
x
(*.f64 (+.f64 x x) 1/2)
x
(*.f64 2 (/.f64 y (/.f64 y (/.f64 x 2))))
x
(*.f64 2 (/.f64 x 2))
x
(.f64 2 (.f64 y (/.f64 (/.f64 x y) 2)))
x
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
x
(.f64 (.f64 x 4) 1/4)
x
(.f64 (/.f64 1 y) (.f64 y x))
x
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y x)))
x
(*.f64 (neg.f64 x) -1)
x
(*.f64 (/.f64 x y) y)
x
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y)))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 -1 (/.f64 y (/.f64 y (neg.f64 x))))
x
(.f64 (.f64 x (/.f64 2 y)) (/.f64 y 2))
x
(.f64 (.f64 y x) (/.f64 1 y))
x
(*.f64 1/2 (+.f64 x x))
x
(*.f64 (/.f64 (/.f64 x y) 2) (+.f64 y y))
x
(.f64 (.f64 (/.f64 x y) 1/2) (+.f64 y y))
x
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x y))
x
(*.f64 (/.f64 y (/.f64 y (neg.f64 x))) -1)
x
(.f64 (/.f64 y 2) (.f64 x (/.f64 2 y)))
x
(*.f64 (/.f64 y (/.f64 y (/.f64 x 2))) 2)
x
(.f64 1/4 (.f64 x 4))
x
(*.f64 (/.f64 x 2) 2)
x
(.f64 (/.f64 1 (.f64 (/.f64 y x) 4)) (*.f64 y 4))
x
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
x
(.f64 (.f64 y (/.f64 (/.f64 x y) 2)) 2)
x
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x
(neg.f64 (/.f64 y (/.f64 y (neg.f64 x))))
x

eval21.0ms (0.2%)

Compiler: Compiled 912 to 583 computations (36.1% saved)

prune22.0ms (0.2%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	10	10
Total	128	12	140

Error

Counts

140 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.8b	(/.f64 (/.f64 x y) (/.f64 -1 z))
✓	42.3b	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	34.7b	(/.f64 (*.f64 y x) y)
✓	31.9b	(/.f64 y (/.f64 y x))
✓	2.6b	(/.f64 x (/.f64 y (-.f64 y z)))
✓	23.1b	(/.f64 2 (/.f64 2 x))
✓	40.1b	(+.f64 (-.f64 x -1) -1)
✓	31.3b	(*.f64 (/.f64 x y) y)
✓	2.6b	(*.f64 x (/.f64 (-.f64 y z) y))
✓	42.6b	(*.f64 x (neg.f64 (/.f64 z y)))
✓	42.5b	(neg.f64 (/.f64 z (/.f64 y x)))
	23.0b	x

Compiler

Compiled 101 to 69 computations (31.7% saved)

regimes63.0ms (0.6%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
20.0ms	z
9.0ms	y
9.0ms	x

Results

Error	Segments	Branch
2.6b	1	`x`
2.6b	1	`y`
1.1b	2	`z`
0.8b	3	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 126 to 59 computations (53.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.1531636407847683e-66	-3.215584239731479e-72
0.0ms	-inf	-6.412176081691881e+306

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes32.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	z
8.0ms	x
7.0ms	y

Results

Error	Segments	Branch
2.6b	1	`x`
2.6b	1	`y`
1.1b	2	`z`

Compiler

Compiled 86 to 42 computations (51.2% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	-3.1887172858303574e+254	-2.9483429522447997e+222

Results

16.0ms	176×	body	256	valid
8.0ms	84×	body	256	infinite

Compiler

Compiled 247 to 165 computations (33.2% saved)

regimes31.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	z
8.0ms	y
7.0ms	x

Results

Error	Segments	Branch
2.6b	1	`x`
2.6b	1	`y`
1.1b	2	`z`

Compiler

Compiled 79 to 40 computations (49.4% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	-3.1887172858303574e+254	-2.9483429522447997e+222

Results

16.0ms	176×	body	256	valid
9.0ms	95×	body	256	infinite

Compiler

Compiled 247 to 165 computations (33.2% saved)

regimes110.0ms (1%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	y
36.0ms	x
33.0ms	z

Results

Error	Segments	Branch
18.7b	7	`x`
13.4b	7	`y`
16.1b	5	`z`

Compiler

Compiled 65 to 36 computations (44.6% saved)

bsearch81.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
13.0ms	3.5773958590443e+123	2.819413748307229e+126
16.0ms	6.780229322784665e+78	9.517004702022019e+88
11.0ms	2.0436025725093423e+28	3.4892235356727673e+30
14.0ms	345638223933.1309	132488049789708.53
10.0ms	5.489895235919543e-50	2.3119943208677067e-49
16.0ms	-8.446868686794431e-91	-4.917404661648289e-99

Results

71.0ms	768×	body	256	valid
2.0ms	24×	body	256	infinite

Compiler

Compiled 736 to 539 computations (26.8% saved)

regimes196.0ms (1.8%)

Counts

9 → 7

Calls

Call 1

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

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

Calls

3 calls:

109.0ms	z
47.0ms	y
38.0ms	x

Results

Error	Segments	Branch
18.7b	7	`x`
13.9b	7	`y`
16.2b	5	`z`

Compiler

Compiled 59 to 33 computations (44.1% saved)

bsearch86.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
13.0ms	3.5773958590443e+123	2.819413748307229e+126
19.0ms	6.780229322784665e+78	9.517004702022019e+88
12.0ms	2.0436025725093423e+28	3.4892235356727673e+30
13.0ms	345638223933.1309	132488049789708.53
11.0ms	5.489895235919543e-50	2.3119943208677067e-49
18.0ms	-8.446868686794431e-91	-4.917404661648289e-99

Results

75.0ms	768×	body	256	valid
2.0ms	27×	body	256	infinite

Compiler

Compiled 736 to 539 computations (26.8% saved)

regimes101.0ms (0.9%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	y
34.0ms	x
30.0ms	z

Results

Error	Segments	Branch
18.7b	7	`x`
14.1b	7	`y`
16.2b	5	`z`

Compiler

Compiled 53 to 30 computations (43.4% saved)

bsearch87.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
15.0ms	3.5773958590443e+123	2.819413748307229e+126
17.0ms	6.780229322784665e+78	9.517004702022019e+88
12.0ms	2.0436025725093423e+28	3.4892235356727673e+30
14.0ms	345638223933.1309	132488049789708.53
10.0ms	5.489895235919543e-50	2.3119943208677067e-49
19.0ms	-8.446868686794431e-91	-4.917404661648289e-99

Results

77.0ms	768×	body	256	valid
2.0ms	20×	body	256	infinite

Compiler

Compiled 736 to 539 computations (26.8% saved)

regimes99.0ms (0.9%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	x
33.0ms	y
31.0ms	z

Results

Error	Segments	Branch
18.7b	7	`x`
14.3b	7	`y`
16.2b	5	`z`

Compiler

Compiled 47 to 28 computations (40.4% saved)

bsearch90.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
15.0ms	3.5773958590443e+123	2.819413748307229e+126
18.0ms	6.780229322784665e+78	9.517004702022019e+88
11.0ms	2.0436025725093423e+28	3.4892235356727673e+30
17.0ms	345638223933.1309	132488049789708.53
12.0ms	5.489895235919543e-50	2.3119943208677067e-49
16.0ms	-8.446868686794431e-91	-4.917404661648289e-99

Results

79.0ms	768×	body	256	valid
2.0ms	26×	body	256	infinite

Compiler

Compiled 736 to 539 computations (26.8% saved)

regimes17.0ms (0.2%)

Accuracy

Total -29.9b remaining (-130.1%)

Threshold costs -29.9b (-130.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

6.0ms	y
5.0ms	z
4.0ms	x

Results

Error	Segments	Branch
23.0b	1	`x`
23.0b	1	`y`
23.0b	1	`z`

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	638

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -inf.0) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (/.f64 (*.f64 x (-.f64 y z)) y) (/.f64 x (/.f64 y (-.f64 y z)))))
(if (<=.f64 z -820000000000000009665019749440014172830432568241554631379894671020677508125018173675839513297291895066125637543853964397215492821170794428929747248825707263320045754672559932394871230320040747071232555239310296845429792394503922884345963609063424) (neg.f64 (/.f64 z (/.f64 y x))) (/.f64 x (/.f64 y (-.f64 y z))))
(if (<=.f64 z -150000000000000003477271729883604145108596138666007738520947709123630469944731651835036035031366853360012795066395559494112241590279012782033149666843185005987405585249471012301537584049369658643507256780321714310421336514810515239107261806106948883447808) (neg.f64 (/.f64 z (/.f64 y x))) (*.f64 x (/.f64 (-.f64 y z) y)))
(if (<=.f64 y -160544903119305/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) x (if (<=.f64 y 5792176041770645/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (.f64 z (neg.f64 x)) y) (if (<=.f64 y 132000000000000) x (if (<=.f64 y 20999999999999998904649121792) (neg.f64 (.f64 z (/.f64 x y))) (if (<=.f64 y 95000000000000005862247679634398272199875882602654723819786638747541142349174777533431808) x (if (<=.f64 y 3599999999999999978469455602400697509445758391075143363003563684292965414885697878185545239694638560657602039074642437603328) (*.f64 x (neg.f64 (/.f64 z y))) x))))))
(if (<=.f64 y -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) x (if (<=.f64 y 822752278660603/6582018229284824168619876730229402019930943462534319453394436096) (neg.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 y 63000000000000) x (if (<=.f64 y 20999999999999998904649121792) (neg.f64 (.f64 z (/.f64 x y))) (if (<=.f64 y 95000000000000005862247679634398272199875882602654723819786638747541142349174777533431808) x (if (<=.f64 y 3599999999999999978469455602400697509445758391075143363003563684292965414885697878185545239694638560657602039074642437603328) (.f64 x (neg.f64 (/.f64 z y))) x))))))
(if (<=.f64 y -224762864367027/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) x (if (<=.f64 y 6108112916776317/105312291668557186697918027683670432318895095400549111254310977536) (neg.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 y 122000000000000) x (if (<=.f64 y 38999999999999998594069299200) (neg.f64 (.f64 z (/.f64 x y))) (if (<=.f64 y 95000000000000005862247679634398272199875882602654723819786638747541142349174777533431808) x (if (<=.f64 y 3599999999999999978469455602400697509445758391075143363003563684292965414885697878185545239694638560657602039074642437603328) (neg.f64 (.f64 z (/.f64 x y))) x))))))
(if (<=.f64 y -4884968572169573/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) x (if (<=.f64 y 2580151145879651/26328072917139296674479506920917608079723773850137277813577744384) (neg.f64 (.f64 z (/.f64 x y))) (if (<=.f64 y 132000000000000) x (if (<=.f64 y 20999999999999998904649121792) (neg.f64 (.f64 z (/.f64 x y))) (if (<=.f64 y 95000000000000005862247679634398272199875882602654723819786638747541142349174777533431808) x (if (<=.f64 y 3599999999999999978469455602400697509445758391075143363003563684292965414885697878185545239694638560657602039074642437603328) (neg.f64 (*.f64 z (/.f64 x y))) x))))))
x

Outputs
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -inf.0) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (/.f64 (*.f64 x (-.f64 y z)) y) (/.f64 x (/.f64 y (-.f64 y z)))))
(if (<=.f64 z -820000000000000009665019749440014172830432568241554631379894671020677508125018173675839513297291895066125637543853964397215492821170794428929747248825707263320045754672559932394871230320040747071232555239310296845429792394503922884345963609063424) (neg.f64 (/.f64 z (/.f64 y x))) (/.f64 x (/.f64 y (-.f64 y z))))
(if (<=.f64 z -150000000000000003477271729883604145108596138666007738520947709123630469944731651835036035031366853360012795066395559494112241590279012782033149666843185005987405585249471012301537584049369658643507256780321714310421336514810515239107261806106948883447808) (neg.f64 (/.f64 z (/.f64 y x))) (*.f64 x (/.f64 (-.f64 y z) y)))
(if (<=.f64 y -160544903119305/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) x (if (<=.f64 y 5792176041770645/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (.f64 z (neg.f64 x)) y) (if (<=.f64 y 132000000000000) x (if (<=.f64 y 20999999999999998904649121792) (neg.f64 (.f64 z (/.f64 x y))) (if (<=.f64 y 95000000000000005862247679634398272199875882602654723819786638747541142349174777533431808) x (if (<=.f64 y 3599999999999999978469455602400697509445758391075143363003563684292965414885697878185545239694638560657602039074642437603328) (*.f64 x (neg.f64 (/.f64 z y))) x))))))
(if (<=.f64 y -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) x (if (<=.f64 y 822752278660603/6582018229284824168619876730229402019930943462534319453394436096) (neg.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 y 63000000000000) x (if (<=.f64 y 20999999999999998904649121792) (neg.f64 (.f64 z (/.f64 x y))) (if (<=.f64 y 95000000000000005862247679634398272199875882602654723819786638747541142349174777533431808) x (if (<=.f64 y 3599999999999999978469455602400697509445758391075143363003563684292965414885697878185545239694638560657602039074642437603328) (.f64 x (neg.f64 (/.f64 z y))) x))))))
(if (<=.f64 y -224762864367027/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) x (if (<=.f64 y 6108112916776317/105312291668557186697918027683670432318895095400549111254310977536) (neg.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 y 122000000000000) x (if (<=.f64 y 38999999999999998594069299200) (neg.f64 (.f64 z (/.f64 x y))) (if (<=.f64 y 95000000000000005862247679634398272199875882602654723819786638747541142349174777533431808) x (if (<=.f64 y 3599999999999999978469455602400697509445758391075143363003563684292965414885697878185545239694638560657602039074642437603328) (neg.f64 (.f64 z (/.f64 x y))) x))))))
(if (<=.f64 y -4884968572169573/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) x (if (<=.f64 y 2580151145879651/26328072917139296674479506920917608079723773850137277813577744384) (neg.f64 (.f64 z (/.f64 x y))) (if (<=.f64 y 132000000000000) x (if (<=.f64 y 20999999999999998904649121792) (neg.f64 (.f64 z (/.f64 x y))) (if (<=.f64 y 95000000000000005862247679634398272199875882602654723819786638747541142349174777533431808) x (if (<=.f64 y 3599999999999999978469455602400697509445758391075143363003563684292965414885697878185545239694638560657602039074642437603328) (neg.f64 (*.f64 z (/.f64 x y))) x))))))
x

Compiler

Compiled 284 to 152 computations (46.5% saved)

soundness438.0ms (4%)

Algorithm

1×	egg-herbie

Rules

5754×	`rational.json-simplify-51`
3410×	`rational.json-simplify-1`
3246×	`rational.json-simplify-2`
1328×	`rational.json-simplify-35`
684×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	14	19
2	25	19
3	42	19
4	75	19
5	146	19
6	344	19
7	865	19
8	1318	19
9	1496	19
10	1531	19
11	1564	19
12	1591	19
13	1618	19
14	1645	19
15	1672	19
16	1699	19
17	1726	19
18	1753	19
19	1780	19
20	1807	19
21	1834	19
22	1861	19
23	1888	19
24	7205	19
25	7420	19
26	7455	19
27	7490	19
28	7525	19
29	7560	19
30	7595	19
31	7630	19
32	7665	19
33	7700	19
34	7735	19
35	7770	19
36	7805	19
37	7840	19
38	7875	19
39	7910	19

Stop Event

1×	node limit

Compiler

Compiled 24 to 10 computations (58.3% saved)

end83.0ms (0.7%)

Compiler: Compiled 263 to 106 computations (59.7% saved)