Details

analyze217.0ms (1.4%)

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)

sample2.9s (18.9%)

Results

2.7s	8256×	body	256	valid
97.0ms	1014×	body	256	infinite

Bogosity

preprocess162.0ms (1.1%)

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)

simplify410.0ms (2.7%)

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
▶	14.3b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	11.2b	(*.f64 (-.f64 y z) (/.f64 x y))
▶	3.1b	(*.f64 x (/.f64 (-.f64 y z) y))

Compiler

Compiled 30 to 18 computations (40% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	3.0b	(*.f64 x (/.f64 (-.f64 y z) y))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite93.0ms (0.6%)

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))))))

simplify249.0ms (1.6%)

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))
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(+.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 (*.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))
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(/.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)
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(/.f64 (.f64 (/.f64 (-.f64 y z) y) 4) (.f64 4 (/.f64 1 x)))
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(/.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)))
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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)))))
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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 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 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 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)
(/.f64 (-.f64 y z) y)
(*.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))))
(/.f64 (-.f64 y z) y)
(*.f64 (-.f64 z y) (/.f64 -1 y))
(/.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)

localize6.0ms (0%)

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

rewrite94.0ms (0.6%)

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)))))

simplify87.0ms (0.6%)

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	13.7b	(/.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)

rewrite73.0ms (0.5%)

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)))))))

simplify189.0ms (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)

eval94.0ms (0.6%)

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

prune378.0ms (2.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	527	10	537
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	528	12	540

Error

Counts

540 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	14.4b	(/.f64 (/.f64 (-.f64 y z) (/.f64 1 x)) y)
▶	14.4b	(/.f64 (/.f64 x (/.f64 1 (-.f64 y z))) y)
▶	11.4b	(/.f64 (-.f64 y z) (/.f64 y x))
	43.8b	(/.f64 (*.f64 z (neg.f64 x)) y)
▶	33.3b	(/.f64 (*.f64 y x) y)
✓	14.3b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	2.9b	(/.f64 x (/.f64 y (-.f64 y z)))
✓	3.1b	(*.f64 x (/.f64 (-.f64 y z) y))
	3.1b	(*.f64 x (+.f64 (neg.f64 (/.f64 z y)) 1))
▶	44.1b	(*.f64 x (neg.f64 (/.f64 z y)))
	43.6b	(neg.f64 (*.f64 z (/.f64 x y)))
	22.1b	x

Compiler

Compiled 204 to 133 computations (34.8% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 y z))
✓	2.7b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (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	z	@	inf	(/.f64 y (-.f64 y z))
0.0ms	y	@	inf	(/.f64 y (-.f64 y z))

rewrite97.0ms (0.6%)

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)))))))

simplify139.0ms (0.9%)

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)
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(*.f64 -1 (/.f64 y z))
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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 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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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))
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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 x) (.f64 (/.f64 (-.f64 y z) y) 1/2))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.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 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 2 (/.f64 (-.f64 y z) (.f64 y (/.f64 2 x))))
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(*.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))
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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))))
(*.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 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 y z) (/.f64 x 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 1 (/.f64 4 (/.f64 x y))) (.f64 (-.f64 y z) 4))
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(*.f64 (-.f64 y z) (/.f64 x y))
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(*.f64 (/.f64 1 (/.f64 y (-.f64 z y))) (neg.f64 x))
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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 (/.f64 y (-.f64 y z)) 1)
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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
✓	17.6b	(/.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)

rewrite94.0ms (0.6%)

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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simplify133.0ms (0.9%)

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)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(*.f64 x (neg.f64 (/.f64 z y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite102.0ms (0.7%)

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 (0.6%)

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)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.2b	(/.f64 (-.f64 y z) (/.f64 y x))

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`rational.json-1`
1636×	`rational.json-2`
1636×	`rational.json-4`
1636×	`rational.json-3`
1612×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	58	19
2	185	19
3	608	19
4	2148	19
5	5756	19

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

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

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1504×	`rational.json-simplify-35`
1116×	`rational.json-simplify-53`
1098×	`rational.json-simplify-43`
900×	`rational.json-simplify-49`
718×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	1643
1	237	1597
2	531	1597
3	1783	1597
4	5366	1597

Stop Event

1×	node limit

Counts

83 → 59

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 y z))
✓	0.2b	(/.f64 x (/.f64 1 (-.f64 y z)))
✓	13.7b	(/.f64 (/.f64 x (/.f64 1 (-.f64 y z))) y)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series4.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2216×	`rational.json-1`
1244×	`rational.json-simplify-50`
1130×	`rational.json-simplify-2`
1104×	`exponential.json-3`
1104×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	91	51
2	310	45
3	1101	45
4	3411	45
5	7890	45

Stop Event

1×	node limit

Counts

3 → 210

Calls

Call 1

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

Outputs

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

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

simplify247.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1552×	`rational.json-simplify-51`
1468×	`rational.json-simplify-35`
964×	`rational.json-simplify-2`
908×	`rational.json-simplify-49`
832×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	402	6336
1	876	6102
2	2097	5934
3	4951	5928

Stop Event

1×	node limit

Counts

306 → 263

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

eval342.0ms (2.2%)

Compiler: Compiled 11843 to 6105 computations (48.5% saved)

prune743.0ms (4.8%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	946	5	951
Fresh	2	3	5
Picked	1	0	1
Done	0	6	6
Total	949	14	963

Error

Counts

963 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	14.4b	(/.f64 (/.f64 (-.f64 y z) (/.f64 1 x)) y)
	43.8b	(/.f64 (/.f64 x (/.f64 -1 z)) y)
✓	11.4b	(/.f64 (-.f64 y z) (/.f64 y x))
▶	43.8b	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	33.3b	(/.f64 (*.f64 y x) y)
✓	14.3b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	43.8b	(/.f64 (neg.f64 x) (/.f64 y z))
✓	2.9b	(/.f64 x (/.f64 y (-.f64 y z)))
▶	5.5b	(+.f64 x (neg.f64 (/.f64 (*.f64 z x) y)))
▶	30.0b	(*.f64 (/.f64 x y) y)
▶	43.6b	(*.f64 z (/.f64 (neg.f64 x) y))
✓	3.1b	(*.f64 x (/.f64 (-.f64 y z) y))
✓	44.1b	(*.f64 x (neg.f64 (/.f64 z y)))
	22.1b	x

Compiler

Compiled 197 to 128 computations (35% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (neg.f64 (/.f64 (*.f64 z x) y)))
✓	7.5b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 28 to 7 computations (75% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

18 calls:

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

rewrite193.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`rational.json-1`
1422×	`rational.json-2`
1422×	`rational.json-4`
1422×	`rational.json-3`
1412×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	73	36
2	204	36
3	637	36
4	2327	36
5	5644	32

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

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

simplify247.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1062×	`exponential.json-simplify-26`
948×	`rational.json-simplify-41`
898×	`rational.json-simplify-51`
862×	`rational.json-simplify-43`
822×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	172	1935
1	401	1917
2	917	1917
3	2258	1917
4	4793	1917
5	7289	1917

Stop Event

1×	node limit

Counts

117 → 97

Calls

Call 1

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

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

localize6.0ms (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	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)
0.0ms	y	@	inf	(*.f64 (/.f64 x y) y)

rewrite141.0ms (0.9%)

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 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(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)))))

simplify104.0ms (0.7%)

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))
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(+.f64 0 x)
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(+.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)))
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(/.f64 (neg.f64 x) -1)
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(/.f64 (neg.f64 y) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
(/.f64 -1 (/.f64 -1 x))
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(/.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%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.7b	(*.f64 z (/.f64 (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	z	@	0	(*.f64 z (/.f64 (neg.f64 x) y))
0.0ms	x	@	inf	(*.f64 z (/.f64 (neg.f64 x) y))
0.0ms	z	@	inf	(*.f64 z (/.f64 (neg.f64 x) y))
0.0ms	x	@	-inf	(*.f64 z (/.f64 (neg.f64 x) y))
0.0ms	z	@	-inf	(*.f64 z (/.f64 (neg.f64 x) y))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`rational.json-1`
1368×	`rational.json-2`
1368×	`rational.json-4`
1368×	`rational.json-3`
1356×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	64	17
2	168	17
3	448	17
4	1384	17
5	4145	17

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

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

Outputs

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

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1726×	`rational.json-simplify-51`
1186×	`rational.json-simplify-49`
1072×	`rational.json-simplify-1`
814×	`rational.json-simplify-46`
704×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	192	2121
1	718	1903
2	2102	1903
3	4460	1903
4	7253	1903

Stop Event

1×	node limit

Counts

111 → 82

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(/.f64 (neg.f64 x) (/.f64 y z))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite160.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`rational.json-1`
1898×	`rational.json-2`
1140×	`exponential.json-3`
1140×	`rational.json-4`
1140×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	68	17
2	219	17
3	765	17
4	3348	17
5	7541	17

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1626×	`rational.json-simplify-35`
1142×	`rational.json-simplify-43`
1124×	`rational.json-simplify-49`
872×	`exponential.json-simplify-26`
784×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1716
1	293	1716
2	662	1716
3	1950	1716
4	5809	1716

Stop Event

1×	node limit

Counts

100 → 71

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.5b	(/.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	z	@	-inf	(/.f64 (*.f64 z (neg.f64 x)) y)
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	y	@	-inf	(/.f64 (*.f64 z (neg.f64 x)) y)

rewrite75.0ms (0.5%)

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

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

simplify990.0ms (6.4%)

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

eval263.0ms (1.7%)

Compiler: Compiled 5224 to 2843 computations (45.6% saved)

prune340.0ms (2.2%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	520	6	526
Fresh	1	2	3
Picked	0	1	1
Done	4	6	10
Total	525	15	540

Error

Counts

540 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	43.8b	(/.f64 (/.f64 z (/.f64 -1 x)) y)
	43.8b	(/.f64 (/.f64 x (/.f64 -1 z)) y)
✓	43.8b	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	33.3b	(/.f64 (*.f64 y x) y)
✓	14.3b	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	43.6b	(/.f64 (neg.f64 z) (/.f64 y x))
✓	43.8b	(/.f64 (neg.f64 x) (/.f64 y z))
▶	30.3b	(/.f64 y (/.f64 y x))
▶	22.3b	(/.f64 2 (/.f64 2 x))
▶	40.6b	(+.f64 (-.f64 x -1) -1)
✓	30.0b	(*.f64 (/.f64 x y) y)
▶	3.1b	(*.f64 (-.f64 1 (/.f64 z y)) x)
✓	3.1b	(*.f64 x (/.f64 (-.f64 y z) y))
✓	44.1b	(*.f64 x (neg.f64 (/.f64 z y)))
	22.1b	x

Compiler

Compiled 193 to 135 computations (30.1% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(*.f64 (-.f64 1 (/.f64 z y)) x)

Compiler

Compiled 22 to 10 computations (54.5% saved)

series208.0ms (1.4%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
204.0ms	x	@	0	(*.f64 (-.f64 1 (/.f64 z y)) x)
2.0ms	x	@	-inf	(*.f64 (-.f64 1 (/.f64 z y)) x)
0.0ms	z	@	0	(*.f64 (-.f64 1 (/.f64 z y)) x)
0.0ms	x	@	inf	(*.f64 (-.f64 1 (/.f64 z y)) x)
0.0ms	y	@	-inf	(*.f64 (-.f64 1 (/.f64 z y)) x)

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1298×	`rational.json-1`
1298×	`rational.json-2`
1298×	`rational.json-4`
1298×	`rational.json-3`
1290×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	70	19
2	173	19
3	380	19
4	922	19
5	3575	19

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

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

simplify193.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2368×	`rational.json-simplify-2`
1410×	`rational.json-simplify-35`
1030×	`rational.json-simplify-50`
906×	`rational.json-simplify-61`
770×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	700
1	92	658
2	184	658
3	418	658
4	1357	658
5	2531	658
6	3632	658
7	4112	658
8	4588	658
9	5827	658
10	6804	658
11	7497	658

Stop Event

1×	node limit

Counts

34 → 26

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.0b	(+.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)

rewrite211.0ms (1.4%)

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)))))

simplify453.0ms (2.9%)

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

localize5.0ms (0%)

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))

rewrite124.0ms (0.8%)

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)))))

simplify145.0ms (0.9%)

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
✓	11.2b	(/.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	y	@	inf	(/.f64 y (/.f64 y x))
0.0ms	x	@	-inf	(/.f64 y (/.f64 y x))

rewrite81.0ms (0.5%)

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)))))

simplify88.0ms (0.6%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(/.f64 (neg.f64 z) (/.f64 y x))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`rational.json-1`
1898×	`rational.json-2`
1140×	`exponential.json-3`
1140×	`rational.json-4`
1140×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	68	17
2	219	17
3	765	17
4	3348	17
5	7541	17

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

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

simplify217.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1584×	`rational.json-simplify-35`
1040×	`rational.json-simplify-43`
1038×	`rational.json-simplify-49`
776×	`rational.json-simplify-2`
758×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	1912
1	294	1716
2	659	1716
3	1916	1716
4	5502	1716
5	7749	1716

Stop Event

1×	node limit

Counts

100 → 69

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

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

eval37.0ms (0.2%)

Compiler: Compiled 1741 to 982 computations (43.6% saved)

prune36.0ms (0.2%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	3	3
Picked	0	1	1
Done	0	11	11
Total	223	15	238

Error

Counts

238 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	43.8b	(/.f64 (/.f64 z (/.f64 -1 x)) y)
	43.8b	(/.f64 (/.f64 x (/.f64 -1 z)) y)
✓	43.8b	(/.f64 (*.f64 z (neg.f64 x)) y)
✓	33.3b	(/.f64 (*.f64 y x) y)
✓	14.3b	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	43.6b	(/.f64 (neg.f64 z) (/.f64 y x))
✓	43.8b	(/.f64 (neg.f64 x) (/.f64 y z))
✓	30.3b	(/.f64 y (/.f64 y x))
✓	22.3b	(/.f64 2 (/.f64 2 x))
✓	40.6b	(+.f64 (-.f64 x -1) -1)
✓	30.0b	(*.f64 (/.f64 x y) y)
✓	3.1b	(*.f64 (-.f64 1 (/.f64 z y)) x)
✓	3.1b	(*.f64 x (/.f64 (-.f64 y z) y))
✓	44.1b	(*.f64 x (neg.f64 (/.f64 z y)))
	22.1b	x

Compiler

Compiled 130 to 89 computations (31.5% saved)

regimes211.0ms (1.4%)

Counts

24 → 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)))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.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 (/.f64 -1 z)) y)
(/.f64 (/.f64 z (/.f64 -1 x)) y)
(*.f64 x (+.f64 (neg.f64 (/.f64 z y)) 1))
(+.f64 x (neg.f64 (/.f64 (*.f64 z x) y)))
(/.f64 (/.f64 x (/.f64 1 (-.f64 y z))) y)
(/.f64 (/.f64 (-.f64 y z) (/.f64 1 x)) y)

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

Calls

4 calls:

101.0ms	x
44.0ms	y
34.0ms	z
28.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Error	Segments	Branch
0.6b	3	`x`
1.1b	3	`y`
1.7b	2	`z`
0.6b	3	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 177 to 81 computations (54.2% saved)

bsearch18.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	1.200121791155371e-231	1.8902643220891477e-231
11.0ms	-1.0526839809314612e-120	-7.679665092720069e-122

Results

15.0ms	160×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 246 to 161 computations (34.6% saved)

regimes429.0ms (2.8%)

Counts

21 → 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)))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.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 (/.f64 -1 z)) y)
(/.f64 (/.f64 z (/.f64 -1 x)) y)
(*.f64 x (+.f64 (neg.f64 (/.f64 z y)) 1))

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

Calls

4 calls:

146.0ms	y
127.0ms	x
79.0ms	z
23.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Error	Segments	Branch
1.7b	3	`x`
1.1b	3	`y`
1.7b	2	`z`
0.7b	3	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 151 to 69 computations (54.3% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
2.0ms	6.590660204528111e+231	3.756045954137026e+232
0.0ms	1.0808858765564178e+74	5.268873740866444e+74

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes227.0ms (1.5%)

Counts

16 → 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)))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 y z) (/.f64 x y))
(/.f64 x (/.f64 y (-.f64 y z)))

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

Calls

3 calls:

111.0ms	z
104.0ms	y
9.0ms	x

Results

Error	Segments	Branch
2.9b	1	`x`
1.2b	3	`y`
1.9b	2	`z`

Compiler

Compiled 105 to 49 computations (53.3% saved)

bsearch32.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	-1.6756087360091364e-259	-2.013992713722003e-261
15.0ms	-4.386089716577516e-157	-3.806609335077114e-159

Results

22.0ms	224×	body	256	valid
6.0ms	68×	body	256	infinite

Compiler

Compiled 324 to 214 computations (34% saved)

regimes53.0ms (0.3%)

Counts

15 → 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)))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 y z) (/.f64 x y))

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

Calls

3 calls:

25.0ms	y
16.0ms	z
9.0ms	x

Results

Error	Segments	Branch
3.1b	1	`x`
1.4b	3	`y`
2.1b	2	`z`

Compiler

Compiled 98 to 47 computations (52% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	-1.6756087360091364e-259	-2.013992713722003e-261
14.0ms	-4.386089716577516e-157	-3.806609335077114e-159

Results

23.0ms	224×	body	256	valid
6.0ms	63×	body	256	infinite

Compiler

Compiled 324 to 214 computations (34% saved)

regimes42.0ms (0.3%)

Counts

14 → 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)))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 1 (/.f64 z y)) x)

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

Calls

3 calls:

22.0ms	y
9.0ms	z
8.0ms	x

Results

Error	Segments	Branch
3.1b	1	`x`
2.1b	3	`y`
3.1b	1	`z`

Compiler

Compiled 91 to 46 computations (49.5% saved)

bsearch34.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	-2.287532771308411e-266	-1.1233788002898558e-268
17.0ms	-2.2204355019686386e-183	-4.540936048424191e-186

Results

23.0ms	240×	body	256	valid
8.0ms	78×	body	256	infinite

Compiler

Compiled 331 to 229 computations (30.8% saved)

regimes115.0ms (0.7%)

Counts

13 → 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)))
(*.f64 x (neg.f64 (/.f64 z y)))
(*.f64 z (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 x (/.f64 (-.f64 y z) y))

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

Calls

3 calls:

84.0ms	x
21.0ms	y
8.0ms	z

Results

Error	Segments	Branch
3.1b	1	`x`
2.1b	3	`y`
3.1b	1	`z`

Compiler

Compiled 84 to 43 computations (48.8% saved)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	-2.287532771308411e-266	-1.1233788002898558e-268
28.0ms	-2.2204355019686386e-183	-4.540936048424191e-186

Results

23.0ms	240×	body	256	valid
20.0ms	84×	body	256	infinite

Compiler

Compiled 331 to 221 computations (33.2% saved)

regimes226.0ms (1.5%)

Counts

12 → 5

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

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

Calls

3 calls:

196.0ms	y
19.0ms	z
8.0ms	x

Results

Error	Segments	Branch
22.1b	1	`x`
14.0b	5	`y`
16.2b	3	`z`

Compiler

Compiled 77 to 40 computations (48.1% saved)

bsearch70.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	4.442950862561426e-54	7.826238641690105e-47
16.0ms	-2.2204355019686386e-183	-4.540936048424191e-186
18.0ms	-1.141326805524466e-136	-6.66757083617255e-138
18.0ms	-3.959481818621913e-109	-2.482745135139508e-115

Results

54.0ms	528×	body	256	valid
9.0ms	87×	body	256	infinite

Compiler

Compiled 511 to 374 computations (26.8% saved)

regimes65.0ms (0.4%)

Counts

10 → 5

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

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

Calls

3 calls:

34.0ms	y
22.0ms	z
6.0ms	x

Results

Error	Segments	Branch
22.1b	1	`x`
14.2b	5	`y`
16.7b	3	`z`

Compiler

Compiled 65 to 36 computations (44.6% saved)

bsearch69.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	4.442950862561426e-54	7.826238641690105e-47
17.0ms	-2.2204355019686386e-183	-4.540936048424191e-186
14.0ms	-1.141326805524466e-136	-6.66757083617255e-138
17.0ms	-3.959481818621913e-109	-2.482745135139508e-115

Results

55.0ms	528×	body	256	valid
7.0ms	77×	body	256	infinite

Compiler

Compiled 511 to 374 computations (26.8% saved)

regimes45.0ms (0.3%)

Counts

7 → 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)))

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

Calls

3 calls:

19.0ms	z
18.0ms	y
7.0ms	x

Results

Error	Segments	Branch
22.1b	1	`x`
15.4b	3	`y`
16.7b	3	`z`

Compiler

Compiled 47 to 28 computations (40.4% saved)

bsearch37.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	4.442950862561426e-54	7.826238641690105e-47
18.0ms	-2.2204355019686386e-183	-4.540936048424191e-186

Results

30.0ms	272×	body	256	valid
3.0ms	36×	body	256	infinite

Compiler

Compiled 271 to 198 computations (26.9% saved)

regimes17.0ms (0.1%)

Accuracy

Total -28.0b remaining (-126.3%)

Threshold costs -28.0b (-126.3%)

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:

7.0ms	x
4.0ms	y
4.0ms	z

Results

Error	Segments	Branch
22.1b	1	`x`
22.1b	1	`y`
22.1b	1	`z`

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	670

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -2209589721858645/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (.f64 x (/.f64 (-.f64 y z) y)) (if (<=.f64 x 8739899877464283/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576) (+.f64 x (neg.f64 (/.f64 (.f64 z x) y))) (/.f64 x (/.f64 y (-.f64 y z)))))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 199999999999999990329637623605584395770392181606026710334413639527300071424) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880) (/.f64 (.f64 x (-.f64 y z)) y) (.f64 x (/.f64 (-.f64 y z) y))))
(if (<=.f64 y -4204616825042777/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 y -4154677247100835/276978483140055660679575521154310658598553426872826080593424264214176807023660163124123274254828011726923049202224793480793868237276543994954010579940377664898144237780470377568655909939538265926807969022980227546033961457550130800932105433260772020185747203501713259671584768) (.f64 (-.f64 y z) (/.f64 x y)) (/.f64 x (/.f64 y (-.f64 y z)))))
(if (<=.f64 y -4080951624306225/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 y -44630321990341/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (.f64 (-.f64 y z) (/.f64 x y)) (*.f64 x (/.f64 (-.f64 y z) y))))
(if (<=.f64 y -6368548303854545/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) (.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 y -3194762889307737/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736) (/.f64 (neg.f64 z) (/.f64 y x)) (.f64 x (/.f64 (-.f64 y z) y))))
(if (<=.f64 y -704214475906993/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (.f64 x (/.f64 (-.f64 y z) y)) (if (<=.f64 y -6133944747470855/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (/.f64 (neg.f64 z) (/.f64 y x)) (.f64 x (/.f64 (-.f64 y z) y))))
(if (<=.f64 y -7624841658832241/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) x (if (<=.f64 y -8275131456761447/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064) (*.f64 x (neg.f64 (/.f64 z y))) (if (<=.f64 y -328904519148137/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) x (if (<=.f64 y 6039028053441743/431359146674410236714672241392314090778194310760649159697657763987456) (/.f64 (neg.f64 z) (/.f64 y x)) x))))
(if (<=.f64 y -1663601816472489/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) x (if (<=.f64 y -5551670470991857/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (.f64 x (neg.f64 (/.f64 z y))) (if (<=.f64 y -139036910367167/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) x (if (<=.f64 y 2561194933379311/6739986666787659948666753771754907668409286105635143120275902562304) (neg.f64 (.f64 z (/.f64 x y))) x))))
(if (<=.f64 y -328904519148137/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) x (if (<=.f64 y 5054990000090745/210624583337114373395836055367340864637790190801098222508621955072) (neg.f64 (*.f64 z (/.f64 x y))) x))
x

Outputs
(if (<=.f64 x -2209589721858645/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (.f64 x (/.f64 (-.f64 y z) y)) (if (<=.f64 x 8739899877464283/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576) (+.f64 x (neg.f64 (/.f64 (.f64 z x) y))) (/.f64 x (/.f64 y (-.f64 y z)))))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 199999999999999990329637623605584395770392181606026710334413639527300071424) (/.f64 x (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) 10000000000000000564754110205208414148406263819830583747005651641554565639675781971892197615894599829797681693475363620965659806446069238773051601456032797794197839403040623198185642380825912769195995883053017532724018486962951290880) (/.f64 (.f64 x (-.f64 y z)) y) (.f64 x (/.f64 (-.f64 y z) y))))
(if (<=.f64 y -4204616825042777/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 y -4154677247100835/276978483140055660679575521154310658598553426872826080593424264214176807023660163124123274254828011726923049202224793480793868237276543994954010579940377664898144237780470377568655909939538265926807969022980227546033961457550130800932105433260772020185747203501713259671584768) (.f64 (-.f64 y z) (/.f64 x y)) (/.f64 x (/.f64 y (-.f64 y z)))))
(if (<=.f64 y -4080951624306225/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 y -44630321990341/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (.f64 (-.f64 y z) (/.f64 x y)) (*.f64 x (/.f64 (-.f64 y z) y))))
(if (<=.f64 y -6368548303854545/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) (.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 y -3194762889307737/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736) (/.f64 (neg.f64 z) (/.f64 y x)) (.f64 x (/.f64 (-.f64 y z) y))))
(if (<=.f64 y -704214475906993/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (.f64 x (/.f64 (-.f64 y z) y)) (if (<=.f64 y -6133944747470855/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (/.f64 (neg.f64 z) (/.f64 y x)) (.f64 x (/.f64 (-.f64 y z) y))))
(if (<=.f64 y -7624841658832241/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) x (if (<=.f64 y -8275131456761447/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064) (*.f64 x (neg.f64 (/.f64 z y))) (if (<=.f64 y -328904519148137/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) x (if (<=.f64 y 6039028053441743/431359146674410236714672241392314090778194310760649159697657763987456) (/.f64 (neg.f64 z) (/.f64 y x)) x))))
(if (<=.f64 y -1663601816472489/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) x (if (<=.f64 y -5551670470991857/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (.f64 x (neg.f64 (/.f64 z y))) (if (<=.f64 y -139036910367167/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) x (if (<=.f64 y 2561194933379311/6739986666787659948666753771754907668409286105635143120275902562304) (neg.f64 (.f64 z (/.f64 x y))) x))))
(if (<=.f64 y -328904519148137/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) x (if (<=.f64 y 5054990000090745/210624583337114373395836055367340864637790190801098222508621955072) (neg.f64 (*.f64 z (/.f64 x y))) x))
x

Compiler

Compiled 294 to 161 computations (45.2% saved)

soundness1.4s (9.1%)

Algorithm

4×	egg-herbie

Rules

5754×	`rational.json-simplify-51`
5754×	`rational.json-simplify-51`
5754×	`rational.json-simplify-51`
3410×	`rational.json-simplify-1`
3410×	`rational.json-simplify-1`

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
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
0	107	1643
1	237	1597
2	531	1597
3	1783	1597
4	5366	1597
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
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 110 to 46 computations (58.2% saved)

end79.0ms (0.5%)

Compiler: Compiled 267 to 99 computations (62.9% saved)