Details

analyze68.0ms (0.5%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	7
70.3%	70.2%	29.7%	0.1%	0%	0%	0%	8
78.1%	78%	21.9%	0.1%	0%	0%	0%	9
83.2%	83.1%	16.8%	0.1%	0%	0%	0%	10
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	11
91.1%	91%	8.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample3.2s (23.7%)

Results

1.5s	1360×	body	1024	valid
1.5s	6052×	body	256	valid
187.0ms	842×	body	512	valid
1.0ms	2×	body	2048	valid

Bogosity

preprocess118.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1570×	`rational.json-simplify-35`
1158×	`rational.json-simplify-26`
1060×	`rational.json-simplify-2`
1052×	`rational.json-simplify-1`
644×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	25	34
2	35	34
3	56	34
4	97	34
5	201	34
6	506	34
7	832	34
8	1573	34
9	2265	34
10	3985	34
11	5948	34
12	7334	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1676×	`rational.json-simplify-35`
1012×	`rational.json-simplify-51`
978×	`rational.json-simplify-2`
942×	`rational.json-simplify-48`
806×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	16	17
2	21	17
3	32	17
4	53	17
5	106	17
6	257	17
7	751	17
8	1322	17
9	2282	17
10	3250	17
11	4813	17
12	7230	17

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series5.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`rational.json-1`
1808×	`rational.json-2`
1808×	`rational.json-4`
1808×	`rational.json-3`
1800×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	58	28
2	156	28
3	382	28
4	1021	28
5	4524	28

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

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

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

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

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1704×	`rational.json-simplify-35`
942×	`rational.json-simplify-51`
762×	`rational.json-simplify-61`
744×	`rational.json-simplify-44`
684×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	4489
1	1609	4399
2	5581	4373

Stop Event

1×	node limit

Counts

225 → 248

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 1 y))
(.f64 (sin.f64 y) (.f64 (*.f64 2 (/.f64 1 y)) 1/2))
(.f64 (sin.f64 y) (.f64 (/.f64 2 y) 1/2))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 y))
(.f64 2 (.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) 1/2)
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(.f64 (.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) 4) (.f64 (/.f64 1 (.f64 y 4)) 1))
(.f64 (.f64 (sin.f64 y) 4) (*.f64 1/4 (/.f64 1 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 -1 y) 1))
(.f64 (neg.f64 (sin.f64 y)) (.f64 -1 (/.f64 1 y)))
(.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y))))))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 -1 (.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 1))
(.f64 -1 (/.f64 (.f64 (sin.f64 y) 2) (neg.f64 (+.f64 y y))))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) (.f64 y (/.f64 2 (sin.f64 y))))))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 4 (/.f64 (sin.f64 y) (.f64 y 4)))
(*.f64 4 (/.f64 (/.f64 (sin.f64 y) y) 4))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 4) 1/4)
(.f64 (.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) 2))
(.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 1 (sin.f64 y)) (/.f64 (+.f64 y y) (.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y))))))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1/2 (neg.f64 y)))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1 (neg.f64 (+.f64 y y))))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (sin.f64 y) 1/2))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(.f64 (.f64 1/2 (/.f64 y (sin.f64 y))) (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 2 y) (.f64 (sin.f64 y) 1/2))
(.f64 (.f64 (sin.f64 y) 1/2) (/.f64 2 y))
(.f64 1/4 (.f64 (/.f64 (sin.f64 y) y) 4))
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y))))))
(.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(-.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (sin.f64 y) (*.f64 (/.f64 y x) 1))
(/.f64 (sin.f64 y) (*.f64 -1 (/.f64 y (neg.f64 x))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 1 x) 1))
(/.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 2 x)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 1 (.f64 (/.f64 y (.f64 (sin.f64 y) x)) 1))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 y (/.f64 2 x)))
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 (*.f64 y (/.f64 2 x)) 1))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 -2 (/.f64 y (neg.f64 x))))
(/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y x)))
(/.f64 2 (+.f64 (/.f64 y (.f64 (sin.f64 y) x)) (/.f64 y (.f64 (sin.f64 y) x))))
(/.f64 2 (.f64 (.f64 (/.f64 2 (sin.f64 y)) (/.f64 y x)) 1))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 x x)) 2)
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 2 x))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (.f64 2 (/.f64 1 x)))
(/.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (.f64 (/.f64 2 x) 1))
(/.f64 (.f64 (sin.f64 y) 4) (+.f64 (.f64 y (/.f64 2 x)) (*.f64 y (/.f64 2 x))))
(/.f64 (.f64 (sin.f64 y) 4) (/.f64 (.f64 y 4) x))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 4 (/.f64 y x)))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 (*.f64 y 4) (/.f64 1 x)))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 2 (*.f64 y (/.f64 2 x))))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 (+.f64 y y) (/.f64 2 x)))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 -4 (/.f64 y (neg.f64 x))))
(/.f64 (*.f64 (sin.f64 y) 4) (/.f64 4 (/.f64 x y)))
(/.f64 (+.f64 x x) (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) x))
(/.f64 (/.f64 1 y) (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 y (neg.f64 x)) 1))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (+.f64 x x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 x y)))
(/.f64 (/.f64 y (sin.f64 y)) (.f64 (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 1 x)))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) x))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 1 x)))
(/.f64 (.f64 y (/.f64 2 (sin.f64 y))) (.f64 (.f64 (/.f64 y (sin.f64 y)) (.f64 y (/.f64 2 (sin.f64 y)))) (/.f64 1 x)))
(/.f64 (.f64 y (/.f64 2 (sin.f64 y))) (.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 2 x)))
(/.f64 4 (+.f64 (.f64 (/.f64 2 (sin.f64 y)) (/.f64 y x)) (.f64 (/.f64 2 (sin.f64 y)) (/.f64 y x))))
(/.f64 4 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) 4) x))
(/.f64 4 (.f64 (.f64 (/.f64 y (sin.f64 y)) 4) (/.f64 1 x)))
(/.f64 4 (.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 2 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 4 x))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (.f64 4 (/.f64 1 x)))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (.f64 2 (/.f64 2 x)))
(/.f64 (.f64 (sin.f64 y) 8) (/.f64 (.f64 y 8) x))
(/.f64 (.f64 (sin.f64 y) 8) (.f64 8 (/.f64 y x)))
(/.f64 (.f64 (sin.f64 y) 8) (.f64 (*.f64 y 8) (/.f64 1 x)))
(/.f64 (.f64 (sin.f64 y) 8) (.f64 4 (*.f64 y (/.f64 2 x))))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 y (sin.f64 y))) 4)
(/.f64 (.f64 x 4) (.f64 (/.f64 y (sin.f64 y)) 4))
(/.f64 (.f64 x 4) (.f64 (*.f64 (/.f64 y (sin.f64 y)) 4) 1))
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
(/.f64 1/2 (/.f64 (*.f64 1/2 (/.f64 y (sin.f64 y))) x))
(/.f64 1/2 (/.f64 (/.f64 y (sin.f64 y)) (+.f64 x x)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sin.f64 y)) x))
(/.f64 (*.f64 (sin.f64 y) -2) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))))
(/.f64 (.f64 (sin.f64 y) -2) (/.f64 (.f64 y -2) x))
(/.f64 (*.f64 (sin.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) x))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 (*.f64 y -2) (/.f64 1 x)))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 (neg.f64 (+.f64 y y)) (/.f64 1 x)))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 (neg.f64 y) (/.f64 2 x)))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 2 (/.f64 y (neg.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 x x)))
(/.f64 (.f64 2 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y)))) 8)
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) 4)) (*.f64 8 (/.f64 1 x)))
(/.f64 (.f64 2 (.f64 (sin.f64 y) 8)) (.f64 (.f64 2 (*.f64 y 8)) (/.f64 1 x)))
(/.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 (/.f64 y (sin.f64 y)) 4) (.f64 (/.f64 y (sin.f64 y)) 4)))
(/.f64 (.f64 2 (.f64 x 4)) (*.f64 8 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 x (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 x))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 -1 (/.f64 1 x)))
(/.f64 (.f64 (/.f64 y (sin.f64 y)) 4) (.f64 (.f64 (/.f64 y (sin.f64 y)) (.f64 y (/.f64 2 (sin.f64 y)))) (/.f64 2 x)))
(/.f64 (.f64 (/.f64 y (sin.f64 y)) (.f64 (sin.f64 y) (/.f64 2 y))) (*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 1 (+.f64 x x)))
(/.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 (.f64 x 1/2) (.f64 1/2 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (/.f64 x y) (.f64 (sin.f64 y) 1/2)) 1/2)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) 1))
(/.f64 (neg.f64 (.f64 (sin.f64 y) 4)) (.f64 (.f64 2 (.f64 y -2)) (/.f64 1 x)))
(/.f64 (neg.f64 (.f64 (sin.f64 y) 4)) (.f64 (*.f64 2 (neg.f64 (+.f64 y y))) (/.f64 1 x)))
(/.f64 (neg.f64 (.f64 (sin.f64 y) 4)) (.f64 (neg.f64 (*.f64 y 4)) (/.f64 1 x)))
(/.f64 (neg.f64 (.f64 (sin.f64 y) 4)) (.f64 4 (/.f64 y (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (sin.f64 y) -2)) (.f64 y (/.f64 2 x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 -1 x))
(/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y)))) (.f64 2 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y))))) 16)
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 (+.f64 x x) y) (/.f64 2 (sin.f64 y)))
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x)) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 y) 8) (/.f64 y x)) 8)
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
(/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 1 x)) (+.f64 y y))
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(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)

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

eval47.0ms (0.3%)

Compiler: Compiled 3190 to 1592 computations (50.1% saved)

prune37.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	242	6	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	242	7	249

Error

Counts

249 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.8b	(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
▶	5.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	5.6b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	0.2b	(.f64 x (.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))) (/.f64 y (sin.f64 y)))))
	34.3b	x

Compiler

Compiled 125 to 79 computations (36.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.1b	(/.f64 y (sin.f64 y))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`rational.json-1`
1692×	`rational.json-2`
1692×	`rational.json-4`
1692×	`rational.json-3`
1668×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	62	28
2	202	28
3	627	28
4	2276	28
5	6011	28

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

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

Outputs

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

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

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational.json-simplify-35`
818×	`rational.json-simplify-2`
806×	`rational.json-simplify-41`
802×	`rational.json-simplify-53`
698×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	1811
1	363	1799
2	768	1799
3	2178	1787
4	4634	1787
5	6982	1787

Stop Event

1×	node limit

Counts

107 → 112

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(+.f64 0 (/.f64 y (sin.f64 y)))
(+.f64 (/.f64 y (.f64 (sin.f64 y) 2)) (/.f64 y (.f64 (sin.f64 y) 2)))
(-.f64 (/.f64 y (sin.f64 y)) 0)
(-.f64 0 (/.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 y (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (+.f64 y y) (/.f64 1/2 (sin.f64 y)))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (sin.f64 y)) 1/2))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) 1/2)
(.f64 2 (/.f64 y (.f64 (sin.f64 y) 2)))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) 2))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 y)) y))
(.f64 (.f64 (/.f64 y (sin.f64 y)) 4) 1/4)
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (sin.f64 y) 4)))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) -1)
(*.f64 (neg.f64 y) (/.f64 -1 (sin.f64 y)))
(*.f64 -1 (/.f64 (neg.f64 y) (sin.f64 y)))
(.f64 (.f64 2 (/.f64 1 (sin.f64 y))) (/.f64 y 2))
(*.f64 (/.f64 1/2 (sin.f64 y)) (+.f64 y y))
(*.f64 1/2 (/.f64 (+.f64 y y) (sin.f64 y)))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) 1/2) (+.f64 y y))
(.f64 (/.f64 y (.f64 (sin.f64 y) 2)) 2)
(.f64 1/4 (.f64 (/.f64 y (sin.f64 y)) 4))
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) 2) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 y) 4)) (*.f64 y 4))
(*.f64 (/.f64 -1 (sin.f64 y)) (neg.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(neg.f64 (/.f64 (neg.f64 y) (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))))
(-.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1)
(.f64 1 (.f64 (sin.f64 y) (/.f64 x y)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 x (+.f64 y y)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (sin.f64 y) y) 2))
(.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (+.f64 y y)) (sin.f64 y)))
(*.f64 2 (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) 2)))
(.f64 2 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) 2))
(.f64 2 (.f64 (/.f64 x (+.f64 y y)) (sin.f64 y)))
(.f64 2 (.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) x))
(.f64 (.f64 x (*.f64 (sin.f64 y) (/.f64 2 y))) 1/2)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) 4)))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 y x)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 1 x)))
(*.f64 -1 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(.f64 1/2 (.f64 x (*.f64 (sin.f64 y) (/.f64 2 y))))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) (+.f64 x x))
(.f64 (/.f64 x (+.f64 y y)) (.f64 (sin.f64 y) 2))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (+.f64 x x))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))) -1)
(*.f64 (/.f64 x (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) (/.f64 1 y))
(*.f64 (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))) 2)
(.f64 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) 2)) 2)
(.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) 4)) (*.f64 x 4))
(.f64 (/.f64 1 (.f64 (/.f64 y x) 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 7/360 (pow.f64 y 4)) 1))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) 1)))
(+.f64 1 (+.f64 (.f64 7/360 (pow.f64 y 4)) (+.f64 (.f64 31/15120 (pow.f64 y 6)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 7/360 (pow.f64 y 4)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 31/15120 (pow.f64 y 6)))))
(+.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (+.f64 (.f64 7/360 (pow.f64 y 4)) (*.f64 31/15120 (pow.f64 y 6))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 x (.f64 (pow.f64 y 2) (.f64 x -1/6)))
(+.f64 x (.f64 x (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/6)) (+.f64 x (.f64 (pow.f64 y 4) (.f64 x 1/120))))
(+.f64 x (+.f64 (.f64 (pow.f64 y 4) (.f64 x 1/120)) (.f64 x (.f64 -1/6 (pow.f64 y 2)))))
(+.f64 x (+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/6)) (.f64 (pow.f64 y 4) (.f64 x 1/120))))
(+.f64 x (.f64 x (+.f64 (.f64 (pow.f64 y 4) 1/120) (*.f64 (pow.f64 y 2) -1/6))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(+.f64 (.f64 (pow.f64 y 4) (.f64 x 1/120)) (+.f64 (+.f64 x (.f64 (pow.f64 y 6) (.f64 x -1/5040))) (.f64 (pow.f64 y 2) (.f64 x -1/6))))
(+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 2))) (+.f64 x (+.f64 (.f64 (pow.f64 y 4) (.f64 x 1/120)) (.f64 (pow.f64 y 6) (.f64 x -1/5040)))))
(+.f64 x (+.f64 (+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/6)) (.f64 (pow.f64 y 4) (.f64 x 1/120))) (.f64 (pow.f64 y 6) (.f64 x -1/5040))))
(+.f64 x (+.f64 (.f64 x (+.f64 (.f64 (pow.f64 y 2) -1/6) (.f64 (pow.f64 y 6) -1/5040))) (.f64 (pow.f64 y 4) (*.f64 x 1/120))))
(+.f64 x (+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/6)) (.f64 x (+.f64 (.f64 (pow.f64 y 6) -1/5040) (*.f64 (pow.f64 y 4) 1/120)))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(+.f64 0 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(+.f64 (/.f64 y (.f64 (sin.f64 y) 2)) (/.f64 y (.f64 (sin.f64 y) 2)))
(/.f64 y (sin.f64 y))
(-.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(-.f64 0 (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 y (/.f64 1 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(*.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (+.f64 y y) (/.f64 1/2 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (sin.f64 y)) 1/2))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) 1/2)
(/.f64 y (sin.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 y) 2)))
(/.f64 y (sin.f64 y))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 y (sin.f64 y))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 y)) y))
(/.f64 y (sin.f64 y))
(.f64 (.f64 (/.f64 y (sin.f64 y)) 4) 1/4)
(/.f64 y (sin.f64 y))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (sin.f64 y) 4)))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) -1)
(/.f64 y (sin.f64 y))
(*.f64 (neg.f64 y) (/.f64 -1 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 -1 (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 y (sin.f64 y))
(.f64 (.f64 2 (/.f64 1 (sin.f64 y))) (/.f64 y 2))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1/2 (sin.f64 y)) (+.f64 y y))
(/.f64 y (sin.f64 y))
(*.f64 1/2 (/.f64 (+.f64 y y) (sin.f64 y)))
(/.f64 y (sin.f64 y))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) 1/2) (+.f64 y y))
(/.f64 y (sin.f64 y))
(.f64 (/.f64 y (.f64 (sin.f64 y) 2)) 2)
(/.f64 y (sin.f64 y))
(.f64 1/4 (.f64 (/.f64 y (sin.f64 y)) 4))
(/.f64 y (sin.f64 y))
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) 2) 2)
(/.f64 y (sin.f64 y))
(.f64 (/.f64 1 (.f64 (sin.f64 y) 4)) (*.f64 y 4))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 -1 (sin.f64 y)) (neg.f64 y))
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(neg.f64 (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 y (sin.f64 y))
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(+.f64 (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(-.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 1 (.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 x (+.f64 y y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (sin.f64 y) y) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (+.f64 y y)) (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 2 (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 2 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) 2)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 2 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 2 (.f64 (/.f64 x (+.f64 y y)) (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 2 (.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 x (*.f64 (sin.f64 y) (/.f64 2 y))) 1/2)
(.f64 x (.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2))
(.f64 (sin.f64 y) (.f64 (*.f64 x (/.f64 2 y)) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (*.f64 x (/.f64 2 y))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) 4)))
(.f64 (.f64 4 x) (/.f64 1 (*.f64 4 (/.f64 y (sin.f64 y)))))
(.f64 4 (.f64 x (/.f64 1/4 (/.f64 y (sin.f64 y)))))
(.f64 4 (.f64 x (/.f64 (sin.f64 y) (*.f64 y 4))))
(.f64 4 (/.f64 x (.f64 4 (/.f64 y (sin.f64 y)))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 y x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 1 x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 -1 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 1/2 (.f64 x (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 x (.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2))
(.f64 (sin.f64 y) (.f64 (*.f64 x (/.f64 2 y)) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (*.f64 x (/.f64 2 y))))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) (+.f64 x x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 x (+.f64 y y)) (.f64 (sin.f64 y) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (+.f64 x x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))) -1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) (/.f64 1 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) 2)) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) 2) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) 4)) (*.f64 x 4))
(.f64 (.f64 4 x) (/.f64 1 (*.f64 4 (/.f64 y (sin.f64 y)))))
(.f64 4 (.f64 x (/.f64 1/4 (/.f64 y (sin.f64 y)))))
(.f64 4 (.f64 x (/.f64 (sin.f64 y) (*.f64 y 4))))
(.f64 4 (/.f64 x (.f64 4 (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 1 (.f64 (/.f64 y x) 4)) (*.f64 (sin.f64 y) 4))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	5.1b	(/.f64 (*.f64 (sin.f64 y) x) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

12 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`rational.json-simplify-35`
1370×	`rational.json-1`
1370×	`rational.json-2`
1370×	`rational.json-4`
1370×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	60	28
2	176	28
3	484	28
4	1521	28
5	4100	28

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

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

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational.json-simplify-46`
1146×	`rational.json-simplify-43`
840×	`rational.json-simplify-2`
812×	`rational.json-simplify-41`
798×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	1742
1	518	1742
2	1120	1724
3	2725	1724
4	5500	1724
5	7039	1724

Stop Event

1×	node limit

Counts

98 → 123

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))))
(+.f64 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)) (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)))
(-.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(-.f64 0 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (sin.f64 y) (.f64 (.f64 2 (/.f64 1 y)) (.f64 x 1/2)))
(.f64 (sin.f64 y) (.f64 (/.f64 2 y) (*.f64 x 1/2)))
(.f64 (sin.f64 y) (.f64 (/.f64 2 (/.f64 y x)) 1/2))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 x (.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 x (.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2)))
(.f64 x (.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2))
(.f64 (.f64 (sin.f64 y) x) (/.f64 1 y))
(.f64 (.f64 (sin.f64 y) x) (.f64 (.f64 2 (/.f64 1 y)) 1/2))
(.f64 (.f64 (sin.f64 y) x) (*.f64 (/.f64 2 y) 1/2))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1)
(.f64 1 (.f64 (sin.f64 y) (/.f64 x y)))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (/.f64 1/2 y))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (*.f64 (/.f64 1 y) 1/2))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (.f64 (.f64 (/.f64 1 y) 1/2) 1))
(*.f64 (/.f64 (sin.f64 y) y) x)
(.f64 2 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 y)) (sin.f64 y)))
(.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) x))
(.f64 2 (.f64 (/.f64 (*.f64 (sin.f64 y) x) (+.f64 y y)) 1))
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 2 (.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 x y)))
(.f64 2 (.f64 (/.f64 (*.f64 (sin.f64 y) x) 2) (/.f64 1 y)))
(.f64 2 (.f64 (/.f64 x y) (*.f64 (sin.f64 y) 1/2)))
(.f64 2 (.f64 (/.f64 (sin.f64 y) y) (*.f64 x 1/2)))
(.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1/2))
(.f64 2 (.f64 x (*.f64 (sin.f64 y) (/.f64 1/2 y))))
(.f64 2 (.f64 (sin.f64 y) (*.f64 x (/.f64 1/2 y))))
(.f64 2 (.f64 (*.f64 (sin.f64 y) x) (/.f64 1/2 y)))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) x)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 (/.f64 y x))) 1/2)
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (/.f64 2 (.f64 y 8)))
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (.f64 (/.f64 2 (*.f64 y 8)) 1))
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (.f64 1/4 (/.f64 1 y)))
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (.f64 1/2 (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 x (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 1/2 (/.f64 x y)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 x y) 1/2))
(.f64 (+.f64 x x) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 -1 y))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (*.f64 (/.f64 -1 y) 1))
(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 -1 y) x))
(.f64 (neg.f64 (sin.f64 y)) (.f64 -1 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 (sin.f64 y) x) (neg.f64 y)))
(.f64 -1 (.f64 (/.f64 (sin.f64 y) (neg.f64 y)) x))
(.f64 -1 (.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) 1))
(.f64 (/.f64 2 (/.f64 y x)) (.f64 (sin.f64 y) 1/2))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 x 1/2))
(.f64 (.f64 (sin.f64 y) 1/2) (/.f64 2 (/.f64 y x)))
(.f64 (.f64 x 1/2) (*.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 (/.f64 y x))))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 x x))
(.f64 (.f64 x (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (+.f64 x x)))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) (+.f64 x x)))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (neg.f64 y)) -1)
(.f64 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)) 2)
(.f64 (/.f64 2 (.f64 y 8)) (.f64 (sin.f64 y) (.f64 x 4)))
(.f64 (/.f64 -1 y) (.f64 (sin.f64 y) (neg.f64 x)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(+.f64 (*.f64 (sin.f64 y) x) 0)
(+.f64 0 (*.f64 (sin.f64 y) x))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 y) (neg.f64 x))))
(+.f64 (/.f64 (.f64 (sin.f64 y) x) 2) (/.f64 (.f64 (sin.f64 y) x) 2))
(+.f64 (-.f64 1 (*.f64 (sin.f64 y) (neg.f64 x))) -1)
(-.f64 (*.f64 (sin.f64 y) x) 0)
(-.f64 0 (*.f64 (sin.f64 y) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 y) x) 1)
(/.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)
(/.f64 (.f64 (sin.f64 y) (.f64 x 4)) 4)
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) -1)
(/.f64 (.f64 (.f64 (sin.f64 y) x) 8) 8)
(/.f64 (.f64 x (.f64 (sin.f64 y) -2)) -2)
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 y) x) 8)) 16)
(/.f64 (.f64 2 (.f64 x (*.f64 (sin.f64 y) -2))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 y) x) 8))) 32)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 x)))

Outputs
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 x (.f64 -1/6 (.f64 x (pow.f64 y 2))))
(+.f64 x (.f64 x (.f64 -1/6 (pow.f64 y 2))))
(+.f64 x (.f64 (pow.f64 y 2) (.f64 x -1/6)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (+.f64 x (.f64 1/120 (.f64 x (pow.f64 y 4)))))
(+.f64 x (+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 2))) (.f64 x (.f64 (pow.f64 y 4) 1/120))))
(+.f64 x (+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/6)) (.f64 x (.f64 1/120 (pow.f64 y 4)))))
(+.f64 x (+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (.f64 1/120 (.f64 x (pow.f64 y 4)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (+.f64 (.f64 1/120 (.f64 x (pow.f64 y 4))) (+.f64 x (.f64 -1/5040 (.f64 x (pow.f64 y 6))))))
(+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 2))) (+.f64 x (+.f64 (.f64 x (.f64 (pow.f64 y 6) -1/5040)) (.f64 x (.f64 (pow.f64 y 4) 1/120)))))
(+.f64 (.f64 x (.f64 1/120 (pow.f64 y 4))) (+.f64 x (+.f64 (.f64 (pow.f64 y 6) (.f64 x -1/5040)) (.f64 (pow.f64 y 2) (.f64 x -1/6)))))
(+.f64 x (+.f64 (.f64 -1/5040 (.f64 x (pow.f64 y 6))) (+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (.f64 1/120 (.f64 x (pow.f64 y 4))))))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (+.f64 x (+.f64 (.f64 1/120 (.f64 x (pow.f64 y 4))) (.f64 -1/5040 (.f64 x (pow.f64 y 6))))))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 x y) (.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(+.f64 (.f64 x y) (.f64 x (*.f64 -1/6 (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (+.f64 (.f64 x y) (.f64 -1/6 (.f64 x (pow.f64 y 3)))) (.f64 1/120 (*.f64 x (pow.f64 y 5))))
(+.f64 (+.f64 (.f64 x y) (.f64 x (.f64 -1/6 (pow.f64 y 3)))) (.f64 x (*.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 3))) (.f64 x (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) (.f64 1/120 (.f64 x (pow.f64 y 5))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 1/120 (.f64 x (pow.f64 y 5))) (+.f64 (.f64 x y) (+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (.f64 -1/5040 (*.f64 x (pow.f64 y 7))))))
(+.f64 (.f64 x (.f64 1/120 (pow.f64 y 5))) (+.f64 (.f64 x y) (+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 3))) (.f64 x (*.f64 -1/5040 (pow.f64 y 7))))))
(+.f64 (+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 7) (.f64 x -1/5040))) (.f64 x (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 1/120 (.f64 x (pow.f64 y 5))) (+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (.f64 x (+.f64 y (.f64 -1/5040 (pow.f64 y 7))))))
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)) (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(-.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(-.f64 0 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (.f64 (.f64 2 (/.f64 1 y)) (.f64 x 1/2)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (.f64 (/.f64 2 y) (*.f64 x 1/2)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (.f64 (/.f64 2 (/.f64 y x)) 1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 x (.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 x (.f64 (/.f64 2 y) (*.f64 (sin.f64 y) 1/2)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 x (.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) x) (.f64 (.f64 2 (/.f64 1 y)) 1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) x) (*.f64 (/.f64 2 y) 1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 1 (.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (/.f64 1/2 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (*.f64 (/.f64 1 y) 1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (.f64 (.f64 (/.f64 1 y) 1/2) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 y)) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (/.f64 (*.f64 (sin.f64 y) x) (+.f64 y y)) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (/.f64 (*.f64 (sin.f64 y) x) 2) (/.f64 1 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (/.f64 x y) (*.f64 (sin.f64 y) 1/2)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (/.f64 (sin.f64 y) y) (*.f64 x 1/2)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 x (*.f64 (sin.f64 y) (/.f64 1/2 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (sin.f64 y) (*.f64 x (/.f64 1/2 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (*.f64 (sin.f64 y) x) (/.f64 1/2 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (/.f64 2 (/.f64 y x))) 1/2)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (/.f64 2 (.f64 y 8)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (.f64 (/.f64 2 (*.f64 y 8)) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (.f64 1/4 (/.f64 1 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (.f64 1/2 (/.f64 1/2 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 x (/.f64 1/2 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 1/2 (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 x y) 1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (+.f64 x x) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 -1 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (*.f64 (/.f64 -1 y) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 -1 y) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (neg.f64 (sin.f64 y)) (.f64 -1 (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 -1 (/.f64 (.f64 (sin.f64 y) x) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 -1 (.f64 (/.f64 (sin.f64 y) (neg.f64 y)) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 -1 (.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (/.f64 2 (/.f64 y x)) (.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 x 1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) 1/2) (/.f64 2 (/.f64 y x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 x 1/2) (*.f64 (sin.f64 y) (/.f64 2 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 (/.f64 y x))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 x x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 x (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (+.f64 x x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) (+.f64 x x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (neg.f64 y)) -1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)) 2)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (/.f64 2 (.f64 y 8)) (.f64 (sin.f64 y) (.f64 x 4)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (/.f64 -1 y) (.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(+.f64 (*.f64 (sin.f64 y) x) 0)
(*.f64 x (sin.f64 y))
(+.f64 0 (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 y) (neg.f64 x))))
(*.f64 x (sin.f64 y))
(+.f64 (/.f64 (.f64 (sin.f64 y) x) 2) (/.f64 (.f64 (sin.f64 y) x) 2))
(*.f64 x (sin.f64 y))
(+.f64 (-.f64 1 (*.f64 (sin.f64 y) (neg.f64 x))) -1)
(*.f64 x (sin.f64 y))
(-.f64 (*.f64 (sin.f64 y) x) 0)
(*.f64 x (sin.f64 y))
(-.f64 0 (*.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)
(*.f64 x (sin.f64 y))
(/.f64 (.f64 (sin.f64 y) (.f64 x 4)) 4)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) -1)
(*.f64 x (sin.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) x) 8) 8)
(*.f64 x (sin.f64 y))
(/.f64 (.f64 x (.f64 (sin.f64 y) -2)) -2)
(*.f64 x (sin.f64 y))
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 y) x) 8)) 16)
(*.f64 x (sin.f64 y))
(/.f64 (.f64 2 (.f64 x (*.f64 (sin.f64 y) -2))) -4)
(*.f64 x (sin.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 y) x) 8))) 32)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 x (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 x (sin.f64 y))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 y) x)
✓	0.6b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	5.1b	(/.f64 y (*.f64 (sin.f64 y) x))

Compiler

Compiled 25 to 8 computations (68% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`rational.json-1`
1844×	`rational.json-2`
1844×	`rational.json-4`
1844×	`rational.json-3`
1428×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	83	34
2	235	34
3	684	34
4	2381	34
5	6280	34

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))

Outputs

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

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

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1324×	`rational.json-simplify-51`
954×	`rational.json-simplify-1`
836×	`rational.json-simplify-44`
772×	`rational.json-simplify-47`
728×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	2685
1	511	2685
2	1189	2673
3	4222	2661
4	7727	2661

Stop Event

1×	node limit

Counts

145 → 150

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(+.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 0)
(+.f64 0 (/.f64 y (*.f64 (sin.f64 y) x)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x)))))
(+.f64 (/.f64 y (.f64 (sin.f64 y) (+.f64 x x))) (/.f64 y (.f64 (sin.f64 y) (+.f64 x x))))
(-.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 0)
(-.f64 0 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(.f64 y (/.f64 1 (.f64 (sin.f64 y) x)))
(.f64 (/.f64 y (.f64 (sin.f64 y) x)) 1)
(.f64 1 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 y) (+.f64 x x))))
(.f64 2 (/.f64 (/.f64 y (.f64 (sin.f64 y) x)) 2))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) x) y))
(*.f64 (/.f64 (/.f64 (+.f64 y y) (sin.f64 y)) x) 1/2)
(*.f64 (+.f64 y y) (/.f64 (/.f64 1/2 (sin.f64 y)) x))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) 1/2))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 x))
(.f64 (.f64 y 4) (/.f64 1 (.f64 (sin.f64 y) (.f64 x 4))))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 1 (+.f64 x x)))
(.f64 (.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 4) 1/4)
(*.f64 (/.f64 y x) (/.f64 1 (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y)
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (/.f64 1 (/.f64 1 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x))
(.f64 (neg.f64 y) (/.f64 -1 (.f64 (sin.f64 y) x)))
(*.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 -1 x))
(.f64 -1 (neg.f64 (/.f64 y (.f64 (sin.f64 y) x))))
(.f64 -1 (/.f64 y (.f64 (sin.f64 y) (neg.f64 x))))
(*.f64 -1 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x)))
(.f64 (neg.f64 (/.f64 y (.f64 (sin.f64 y) x))) -1)
(.f64 (.f64 2 (/.f64 1 (*.f64 (sin.f64 y) x))) (/.f64 y 2))
(*.f64 (/.f64 1 x) (/.f64 y (sin.f64 y)))
(.f64 (.f64 2 (/.f64 y x)) (/.f64 1/2 (sin.f64 y)))
(.f64 (/.f64 1/2 (sin.f64 y)) (.f64 2 (/.f64 y x)))
(*.f64 1/2 (/.f64 (/.f64 (+.f64 y y) (sin.f64 y)) x))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) x) (+.f64 y y))
(.f64 (.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) 1/2) (+.f64 y y))
(.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 (.f64 (sin.f64 y) x)))
(.f64 (/.f64 y (.f64 (sin.f64 y) (neg.f64 x))) -1)
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x)) -1)
(*.f64 (/.f64 1 (+.f64 x x)) (/.f64 (+.f64 y y) (sin.f64 y)))
(.f64 (/.f64 y (.f64 (sin.f64 y) (+.f64 x x))) 2)
(.f64 (/.f64 -1 (.f64 (sin.f64 y) x)) (neg.f64 y))
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 (/.f64 y (.f64 (sin.f64 y) x)) 2) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 y) (.f64 x 4))) (.f64 y 4))
(.f64 1/4 (.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 4))
(*.f64 (/.f64 -1 x) (/.f64 y (neg.f64 (sin.f64 y))))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1)
(neg.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(neg.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x)))
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)) (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)))
(+.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 y y) (sin.f64 y)) x)) (/.f64 1 (/.f64 (/.f64 (+.f64 y y) (sin.f64 y)) x)))
(-.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) x) (/.f64 1 y))
(.f64 1 (.f64 (sin.f64 y) (/.f64 x y)))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1)
(.f64 2 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)))
(*.f64 2 (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 2 (/.f64 y x))))
(.f64 2 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) 2))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) x)))
(.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) x))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 y)) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (/.f64 1/2 y))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (*.f64 (/.f64 1 y) 1/2))
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (/.f64 1 (.f64 y 4)))
(.f64 (+.f64 x x) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 y) (*.f64 (sin.f64 y) 1/2)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 x (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) 2) (.f64 (/.f64 1 y) (.f64 x 1/2)))
(.f64 (.f64 (sin.f64 y) (*.f64 2 (/.f64 x y))) 1/2)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (.f64 (sin.f64 y) x))))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 y x)))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 -1 y))
(.f64 -1 (/.f64 (.f64 (sin.f64 y) x) (neg.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 x 1/2))
(.f64 (.f64 2 (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))
(.f64 1/2 (.f64 (sin.f64 y) (*.f64 2 (/.f64 x y))))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 x x))
(.f64 (.f64 x (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (+.f64 x x)))
(.f64 (.f64 (sin.f64 y) 1/2) (*.f64 2 (/.f64 x y)))
(.f64 (.f64 x 1/2) (*.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) (+.f64 x x)))
(.f64 (.f64 (/.f64 1 y) (*.f64 (sin.f64 y) 1/2)) (+.f64 x x))
(.f64 (.f64 (/.f64 1 y) (.f64 x 1/2)) (.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 x y))
(.f64 (/.f64 1 (/.f64 1 (.f64 (sin.f64 y) x))) (/.f64 1 y))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (neg.f64 y)) -1)
(.f64 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)) 2)
(.f64 (/.f64 -1 y) (.f64 (sin.f64 y) (neg.f64 x)))
(.f64 (/.f64 1 (.f64 y 4)) (.f64 (sin.f64 y) (.f64 x 4)))
(*.f64 (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))) 2)
(.f64 (/.f64 (sin.f64 y) (.f64 2 (/.f64 y x))) 2)
(.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) 2) 2)
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(neg.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(neg.f64 (/.f64 x (/.f64 y (neg.f64 (sin.f64 y)))))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/6 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (.f64 7/360 (/.f64 (pow.f64 y 4) x))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (.f64 1/6 (/.f64 (pow.f64 y 2) x))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (.f64 7/360 (/.f64 (pow.f64 y 4) x))))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (+.f64 (/.f64 1 x) (.f64 1/6 (/.f64 (pow.f64 y 2) x))) (*.f64 31/15120 (/.f64 (pow.f64 y 6) x))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/6 (/.f64 (pow.f64 y 2) x))) (+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (*.f64 7/360 (/.f64 (pow.f64 y 4) x))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (/.f64 1 x) (*.f64 7/360 (/.f64 (pow.f64 y 4) x)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (.f64 31/15120 (/.f64 (pow.f64 y 6) x))) (*.f64 7/360 (/.f64 (pow.f64 y 4) x))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 31/15120 (/.f64 (pow.f64 y 6) x)))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 x (.f64 (pow.f64 y 2) (.f64 x -1/6)))
(+.f64 x (.f64 x (.f64 (pow.f64 y 2) -1/6)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/6)) (+.f64 x (.f64 (pow.f64 y 4) (.f64 x 1/120))))
(+.f64 x (+.f64 (.f64 (pow.f64 y 4) (.f64 x 1/120)) (.f64 (pow.f64 y 2) (.f64 x -1/6))))
(+.f64 x (+.f64 (.f64 x (.f64 (pow.f64 y 2) -1/6)) (.f64 x (.f64 (pow.f64 y 4) 1/120))))
(+.f64 x (.f64 x (+.f64 (.f64 (pow.f64 y 4) 1/120) (*.f64 (pow.f64 y 2) -1/6))))
(+.f64 x (.f64 x (+.f64 (.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 4) 1/120))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/6)) (+.f64 (.f64 (pow.f64 y 4) (.f64 x 1/120)) (+.f64 x (.f64 -1/5040 (.f64 x (pow.f64 y 6))))))
(+.f64 x (+.f64 (+.f64 (.f64 x (.f64 (pow.f64 y 4) 1/120)) (.f64 x (.f64 (pow.f64 y 6) -1/5040))) (.f64 x (.f64 (pow.f64 y 2) -1/6))))
(+.f64 (+.f64 x (.f64 x (.f64 (pow.f64 y 2) -1/6))) (.f64 x (+.f64 (.f64 (pow.f64 y 6) -1/5040) (*.f64 (pow.f64 y 4) 1/120))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(+.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(+.f64 0 (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 y (*.f64 x (sin.f64 y)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x)))))
(/.f64 y (*.f64 x (sin.f64 y)))
(+.f64 (/.f64 y (.f64 (sin.f64 y) (+.f64 x x))) (/.f64 y (.f64 (sin.f64 y) (+.f64 x x))))
(/.f64 y (*.f64 x (sin.f64 y)))
(-.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(-.f64 0 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 y (/.f64 1 (.f64 (sin.f64 y) x)))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 y (.f64 (sin.f64 y) x)) 1)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 1 (/.f64 y (.f64 (sin.f64 y) x)))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 2 (/.f64 y (.f64 (sin.f64 y) (+.f64 x x))))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 2 (/.f64 (/.f64 y (.f64 (sin.f64 y) x)) 2))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) x) y))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (+.f64 y y) (sin.f64 y)) x) 1/2)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (+.f64 y y) (/.f64 (/.f64 1/2 (sin.f64 y)) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) 1/2))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 x))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (.f64 y 4) (/.f64 1 (.f64 (sin.f64 y) (.f64 x 4))))
(.f64 y (.f64 4 (/.f64 1 (.f64 x (.f64 4 (sin.f64 y))))))
(.f64 (.f64 y 4) (/.f64 (/.f64 1/4 x) (sin.f64 y)))
(.f64 y (.f64 4 (/.f64 (/.f64 1/4 x) (sin.f64 y))))
(*.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 1 (+.f64 x x)))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 4) 1/4)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 y x) (/.f64 1 (sin.f64 y)))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (/.f64 1 (/.f64 1 y)))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (neg.f64 y) (/.f64 -1 (.f64 (sin.f64 y) x)))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 -1 x))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 -1 (neg.f64 (/.f64 y (.f64 (sin.f64 y) x))))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 -1 (/.f64 y (.f64 (sin.f64 y) (neg.f64 x))))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 -1 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x)))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (neg.f64 (/.f64 y (.f64 (sin.f64 y) x))) -1)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (.f64 2 (/.f64 1 (*.f64 (sin.f64 y) x))) (/.f64 y 2))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 1 x) (/.f64 y (sin.f64 y)))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (.f64 2 (/.f64 y x)) (/.f64 1/2 (sin.f64 y)))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 1/2 (sin.f64 y)) (.f64 2 (/.f64 y x)))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 1/2 (/.f64 (/.f64 (+.f64 y y) (sin.f64 y)) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) x) (+.f64 y y))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) 1/2) (+.f64 y y))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 (.f64 (sin.f64 y) x)))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 y (.f64 (sin.f64 y) (neg.f64 x))) -1)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x)) -1)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 1 (+.f64 x x)) (/.f64 (+.f64 y y) (sin.f64 y)))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 y (.f64 (sin.f64 y) (+.f64 x x))) 2)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 -1 (.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (*.f64 (sin.f64 y) x))))
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 (/.f64 y (.f64 (sin.f64 y) x)) 2) 2)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (.f64 x 4))) (.f64 y 4))
(.f64 y (.f64 4 (/.f64 1 (.f64 x (.f64 4 (sin.f64 y))))))
(.f64 (.f64 y 4) (/.f64 (/.f64 1/4 x) (sin.f64 y)))
(.f64 y (.f64 4 (/.f64 (/.f64 1/4 x) (sin.f64 y))))
(.f64 1/4 (.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 4))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 -1 x) (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 y (*.f64 x (sin.f64 y)))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1)
(/.f64 y (*.f64 x (sin.f64 y)))
(neg.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
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(neg.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))
(/.f64 y (*.f64 x (sin.f64 y)))
(neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x)))
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(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
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(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(+.f64 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)) (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(+.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 y y) (sin.f64 y)) x)) (/.f64 1 (/.f64 (/.f64 (+.f64 y y) (sin.f64 y)) x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(-.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 1 (.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 2 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)))
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(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 2 (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 2 (/.f64 (sin.f64 y) (.f64 2 (/.f64 y x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 2 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
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(.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 y)) (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (/.f64 1/2 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (*.f64 (/.f64 1 y) 1/2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (/.f64 1 (.f64 y 4)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (+.f64 x x) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (+.f64 x x) (.f64 (/.f64 1 y) (*.f64 (sin.f64 y) 1/2)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 x (/.f64 1/2 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) 2) (.f64 (/.f64 1 y) (.f64 x 1/2)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) (*.f64 2 (/.f64 x y))) 1/2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 1 x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (.f64 (sin.f64 y) x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 y x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 -1 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 -1 (/.f64 (.f64 (sin.f64 y) x) (neg.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 x 1/2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 2 (/.f64 x y)) (*.f64 (sin.f64 y) 1/2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 1/2 (.f64 (sin.f64 y) (*.f64 2 (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 x x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 x (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (+.f64 x x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (sin.f64 y) 1/2) (*.f64 2 (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 x 1/2) (*.f64 (sin.f64 y) (/.f64 2 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) (+.f64 x x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (/.f64 1 y) (*.f64 (sin.f64 y) 1/2)) (+.f64 x x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (.f64 (/.f64 1 y) (.f64 x 1/2)) (.f64 (sin.f64 y) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) (/.f64 1 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 1 (/.f64 1 (.f64 (sin.f64 y) x))) (/.f64 1 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (neg.f64 y)) -1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 -1 y) (.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 1 (.f64 y 4)) (.f64 (sin.f64 y) (.f64 x 4)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 (sin.f64 y) (.f64 2 (/.f64 y x))) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) 2) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(neg.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(neg.f64 (/.f64 x (/.f64 y (neg.f64 (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	7.2b	(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`exponential.json-3`
1546×	`rational.json-1`
1546×	`rational.json-2`
1546×	`rational.json-4`
1546×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	88	28
2	287	28
3	986	28
4	4381	28

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))

Outputs

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

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

simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1008×	`rational.json-simplify-35`
890×	`rational.json-simplify-44`
886×	`rational.json-simplify-51`
754×	`rational.json-simplify-47`
722×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	2835
1	523	2799
2	1355	2763
3	4575	2751
4	7261	2751

Stop Event

1×	node limit

Counts

139 → 161

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(+.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 0)
(+.f64 0 (*.f64 (/.f64 x y) (sin.f64 y)))
(-.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 0)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 1 (.f64 (/.f64 x y) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 y x))))
(.f64 (.f64 (/.f64 x y) (sin.f64 y)) 1)
(*.f64 (+.f64 x x) (/.f64 (sin.f64 y) (+.f64 y y)))
(.f64 (+.f64 x x) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 y) (/.f64 (sin.f64 y) 2)))
(.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(*.f64 2 (/.f64 (/.f64 x y) (/.f64 2 (sin.f64 y))))
(.f64 2 (/.f64 x (.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 2 (/.f64 y x))))
(.f64 2 (/.f64 (.f64 (/.f64 x y) (sin.f64 y)) 2))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 x (+.f64 y y)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 2 (/.f64 y (/.f64 x 4))))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 (sin.f64 y) 2))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 (sin.f64 y) 1/2))
(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))
(.f64 (.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (*.f64 (sin.f64 y) (/.f64 y x))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 y y) (/.f64 2 (sin.f64 y)))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (.f64 2 (.f64 2 (/.f64 y x)))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (/.f64 y (/.f64 x 4))))
(.f64 (.f64 x (*.f64 (sin.f64 y) (/.f64 2 y))) 1/2)
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 y)) 4)))
(.f64 (.f64 x (*.f64 (sin.f64 y) 2)) (/.f64 1/2 y))
(.f64 (/.f64 1 y) (.f64 x (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(.f64 (neg.f64 x) (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (/.f64 -1 (sin.f64 y)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 y (sin.f64 y)))))
(.f64 -1 (/.f64 x (.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))))
(.f64 -1 (/.f64 x (.f64 y (/.f64 -1 (sin.f64 y)))))
(*.f64 -1 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 -1 (/.f64 (/.f64 x y) (/.f64 -1 (sin.f64 y))))
(.f64 -1 (/.f64 (.f64 x (sin.f64 y)) (neg.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 x y)))
(*.f64 (neg.f64 (/.f64 x y)) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (/.f64 x y)) (/.f64 1 (/.f64 -1 (sin.f64 y))))
(.f64 (.f64 x (neg.f64 (sin.f64 y))) (/.f64 1 (neg.f64 y)))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x (/.f64 2 (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 x 1/2))
(.f64 1/2 (.f64 x (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 (/.f64 (sin.f64 y) 2) (.f64 x (/.f64 2 y)))
(.f64 (/.f64 1/2 y) (.f64 x (*.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (+.f64 x x))
(.f64 (.f64 x 1/2) (*.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (/.f64 x (+.f64 y y)) (.f64 (sin.f64 y) 2))
(.f64 (.f64 (sin.f64 y) 1/2) (*.f64 x (/.f64 2 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 x x))
(.f64 (.f64 (/.f64 1 y) (/.f64 (sin.f64 y) 2)) (+.f64 x x))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (+.f64 x x))
(.f64 (/.f64 x (.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))) -1)
(.f64 (/.f64 x (.f64 y (/.f64 -1 (sin.f64 y)))) -1)
(*.f64 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y)))) -1)
(*.f64 (/.f64 (/.f64 x y) (/.f64 -1 (sin.f64 y))) -1)
(.f64 (/.f64 (.f64 x (sin.f64 y)) (neg.f64 y)) -1)
(*.f64 (/.f64 (/.f64 x y) (/.f64 2 (sin.f64 y))) 2)
(.f64 (/.f64 x (/.f64 2 (sin.f64 y))) (.f64 2 (/.f64 1 y)))
(.f64 (/.f64 x (.f64 y (/.f64 2 (sin.f64 y)))) 2)
(.f64 (/.f64 (sin.f64 y) (.f64 2 (/.f64 y x))) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 y) (/.f64 y x))) (*.f64 (sin.f64 y) (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 y x))) (sin.f64 y))
(.f64 (/.f64 1 (.f64 (+.f64 y y) (/.f64 2 (sin.f64 y)))) (*.f64 x 4))
(.f64 (/.f64 1 (.f64 2 (.f64 2 (/.f64 y x)))) (.f64 (sin.f64 y) 4))
(.f64 (/.f64 1 (/.f64 y (/.f64 x 4))) (.f64 (sin.f64 y) 4))
(.f64 (/.f64 2 (/.f64 y (/.f64 x 4))) (.f64 (sin.f64 y) 2))
(.f64 (/.f64 (.f64 (/.f64 x y) (sin.f64 y)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) 4)) (*.f64 (/.f64 x y) 4))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))) (neg.f64 x))
(.f64 (/.f64 1 (.f64 y (/.f64 -1 (sin.f64 y)))) (neg.f64 x))
(*.f64 (/.f64 1 (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 x))
(*.f64 (/.f64 1 (/.f64 -1 (sin.f64 y))) (neg.f64 (/.f64 x y)))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 x (neg.f64 (sin.f64 y))))
(pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 1)
(neg.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))))
(neg.f64 (/.f64 (neg.f64 (/.f64 x y)) (/.f64 1 (sin.f64 y))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x)))
(neg.f64 (/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))))
(neg.f64 (/.f64 x (*.f64 y (/.f64 -1 (sin.f64 y)))))
(neg.f64 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y)))))
(neg.f64 (/.f64 (/.f64 x y) (/.f64 -1 (sin.f64 y))))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(+.f64 (/.f64 1 (sin.f64 y)) 0)
(+.f64 0 (/.f64 1 (sin.f64 y)))
(-.f64 (/.f64 1 (sin.f64 y)) 0)
(-.f64 0 (/.f64 -1 (sin.f64 y)))
(*.f64 1 (/.f64 1 (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 y)) 2))
(.f64 2 (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (*.f64 (sin.f64 y) 2))))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1 (.f64 (sin.f64 y) (.f64 (sin.f64 y) 2))))
(*.f64 (/.f64 2 (sin.f64 y)) 1/2)
(.f64 (.f64 (/.f64 1 (sin.f64 y)) 4) 1/4)
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(*.f64 1/2 (/.f64 2 (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) 2) (/.f64 2 (.f64 (sin.f64 y) (sin.f64 y))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))) (sin.f64 y))
(.f64 (/.f64 2 (.f64 (sin.f64 y) (sin.f64 y))) (/.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) 2) 2)
(.f64 1/4 (.f64 (/.f64 1 (sin.f64 y)) 4))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (.f64 (sin.f64 y) 2))) (.f64 (sin.f64 y) 2))
(.f64 (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (*.f64 (sin.f64 y) 2))) 2)
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(neg.f64 (/.f64 -1 (sin.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))))

Outputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
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(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
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(+.f64 x (+.f64 (.f64 (pow.f64 y 4) (.f64 x 1/120)) (.f64 x (.f64 -1/6 (pow.f64 y 2)))))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (+.f64 x (.f64 x (.f64 1/120 (pow.f64 y 4)))))
(+.f64 x (.f64 x (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 -1/6 (pow.f64 y 2)))))
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(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 1 y)
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(+.f64 (/.f64 1 y) (+.f64 (.f64 y 1/6) (.f64 7/360 (pow.f64 y 3))))
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(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
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(*.f64 (sin.f64 y) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 0)
(*.f64 x (/.f64 (sin.f64 y) y))
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(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 1 (.f64 (/.f64 x y) (sin.f64 y)))
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(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (/.f64 x y) (sin.f64 y)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (+.f64 x x) (/.f64 (sin.f64 y) (+.f64 y y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (sin.f64 y) (.f64 (/.f64 1/2 y) (+.f64 x x)))
(.f64 (sin.f64 y) (.f64 (+.f64 x x) (/.f64 1/2 y)))
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(*.f64 x (/.f64 (sin.f64 y) y))
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(.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
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(*.f64 x (/.f64 (sin.f64 y) y))
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(.f64 2 (/.f64 x (.f64 y (/.f64 2 (sin.f64 y)))))
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(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 x (+.f64 y y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 2 (/.f64 y (/.f64 x 4))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 (sin.f64 y) 2))
(.f64 (/.f64 (sin.f64 y) 2) (.f64 x (/.f64 2 y)))
(.f64 x (.f64 (/.f64 (sin.f64 y) 2) (/.f64 2 y)))
(*.f64 x (/.f64 2 (/.f64 2 (/.f64 (sin.f64 y) y))))
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(.f64 (sin.f64 y) (.f64 (/.f64 2 y) (*.f64 x 1/2)))
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(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
(.f64 (sin.f64 y) (.f64 (/.f64 1 y) x))
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(.f64 (.f64 (sin.f64 y) (sin.f64 y)) (/.f64 (/.f64 x y) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 (/.f64 x y) (sin.f64 y))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 y y) (/.f64 2 (sin.f64 y)))))
(.f64 (.f64 x 4) (/.f64 (/.f64 1/2 y) (/.f64 2 (sin.f64 y))))
(.f64 4 (.f64 (/.f64 (sin.f64 y) (/.f64 2 (/.f64 1/2 y))) x))
(.f64 (.f64 x 4) (/.f64 (sin.f64 y) (/.f64 y 1/4)))
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(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (.f64 2 (.f64 2 (/.f64 y x)))))
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(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (/.f64 y x))) (*.f64 (sin.f64 y) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (*.f64 (sin.f64 y) (/.f64 y x))))
(.f64 (.f64 (sin.f64 y) (sin.f64 y)) (/.f64 (/.f64 x y) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 (/.f64 x y) (sin.f64 y))))
(.f64 (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 y x))) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 1 (.f64 (+.f64 y y) (/.f64 2 (sin.f64 y)))) (*.f64 x 4))
(.f64 (.f64 x 4) (/.f64 (/.f64 1/2 y) (/.f64 2 (sin.f64 y))))
(.f64 4 (.f64 (/.f64 (sin.f64 y) (/.f64 2 (/.f64 1/2 y))) x))
(.f64 (.f64 x 4) (/.f64 (sin.f64 y) (/.f64 y 1/4)))
(.f64 x (.f64 4 (/.f64 (sin.f64 y) (*.f64 y 4))))
(.f64 (/.f64 1 (.f64 2 (.f64 2 (/.f64 y x)))) (.f64 (sin.f64 y) 4))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1/2 (*.f64 2 (/.f64 y x))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1/4 (/.f64 y x)))
(.f64 (sin.f64 y) (.f64 4 (/.f64 x (*.f64 y 4))))
(.f64 (/.f64 1 (/.f64 y (/.f64 x 4))) (.f64 (sin.f64 y) 4))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1/2 (*.f64 2 (/.f64 y x))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1/4 (/.f64 y x)))
(.f64 (sin.f64 y) (.f64 4 (/.f64 x (*.f64 y 4))))
(.f64 (/.f64 2 (/.f64 y (/.f64 x 4))) (.f64 (sin.f64 y) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 (.f64 (/.f64 x y) (sin.f64 y)) 2) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) 4)) (*.f64 (/.f64 x y) 4))
(.f64 (/.f64 x y) (.f64 4 (/.f64 1 (*.f64 4 (/.f64 1 (sin.f64 y))))))
(.f64 4 (.f64 (/.f64 1/4 (/.f64 1 (sin.f64 y))) (/.f64 x y)))
(.f64 4 (.f64 (/.f64 x y) (/.f64 (sin.f64 y) 4)))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))) (neg.f64 x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 1 (.f64 y (/.f64 -1 (sin.f64 y)))) (neg.f64 x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 1 (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 -1 (sin.f64 y))) (neg.f64 (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 x (neg.f64 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (*.f64 (/.f64 x y) (sin.f64 y)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 (neg.f64 (/.f64 x y)) (/.f64 1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 x (*.f64 y (/.f64 -1 (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 (/.f64 x y) (/.f64 -1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(+.f64 (/.f64 1 (sin.f64 y)) 0)
(/.f64 1 (sin.f64 y))
(+.f64 0 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(-.f64 (/.f64 1 (sin.f64 y)) 0)
(/.f64 1 (sin.f64 y))
(-.f64 0 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 y)) 2))
(/.f64 1 (sin.f64 y))
(.f64 2 (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (*.f64 (sin.f64 y) 2))))
(/.f64 1 (sin.f64 y))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1 (.f64 (sin.f64 y) (.f64 (sin.f64 y) 2))))
(.f64 (sin.f64 y) (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (/.f64 2 (sin.f64 y)) 1/2)
(*.f64 1/2 (/.f64 2 (sin.f64 y)))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) 4) 1/4)
(/.f64 1 (sin.f64 y))
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(/.f64 1 (sin.f64 y))
(*.f64 1/2 (/.f64 2 (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) 2) (/.f64 2 (.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))))
(.f64 (/.f64 2 (.f64 (sin.f64 y) (sin.f64 y))) (/.f64 (sin.f64 y) 2))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) 2) 2)
(/.f64 1 (sin.f64 y))
(.f64 1/4 (.f64 (/.f64 1 (sin.f64 y)) 4))
(/.f64 1 (sin.f64 y))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (.f64 (sin.f64 y) 2))) (.f64 (sin.f64 y) 2))
(.f64 (sin.f64 y) (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))))
(.f64 (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (*.f64 (sin.f64 y) 2))) 2)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(neg.f64 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 1 (sin.f64 y))

localize69.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))) (/.f64 y (sin.f64 y)))))
	0.1b	(/.f64 y (sin.f64 y))
✓	0.2b	(/.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))) (/.f64 y (sin.f64 y)))
✓	0.3b	(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))) (/.f64 y (sin.f64 y))))

Compiler

Compiled 76 to 18 computations (76.3% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite162.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`exponential.json-3`
1248×	`rational.json-1`
1248×	`rational.json-2`
1248×	`rational.json-4`
1248×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	149
1	124	149
2	415	109
3	2159	109
4	4994	93

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs

(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))) (/.f64 y (sin.f64 y))))

(/.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))) (/.f64 y (sin.f64 y)))

(*.f64 x (*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))) (/.f64 y (sin.f64 y)))))

Outputs

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

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

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1626×	`rational.json-simplify-51`
1294×	`rational.json-simplify-35`
1068×	`rational.json-simplify-44`
988×	`rational.json-simplify-49`
946×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	2640
1	574	2412
2	1635	2374
3	6826	2356

Stop Event

1×	node limit

Counts

120 → 128

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 -1 y)
(+.f64 (.f64 1/3 (pow.f64 y 3)) (.f64 -1 y))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 -2/45 (pow.f64 y 5)) (*.f64 -1 y)))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 -2/45 (pow.f64 y 5)) (+.f64 (.f64 1/315 (pow.f64 y 7)) (.f64 -1 y))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) y))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) y))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) y))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) y))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) y))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) y))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) y))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y)) 0)
(+.f64 0 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y)))
(-.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y)) 0)
(/.f64 -1 (.f64 (sin.f64 y) (/.f64 y (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))))))
(/.f64 (sin.f64 y) (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (/.f64 -1 (sin.f64 y)))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) (neg.f64 y))) (neg.f64 (sin.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y)) 1)
(/.f64 1 (.f64 (neg.f64 (sin.f64 y)) (/.f64 y (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))))))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (/.f64 -1 (sin.f64 y))))))
(/.f64 -2 (.f64 (sin.f64 y) (.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) -2)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y))
(/.f64 2 (.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) -2)))
(/.f64 (.f64 (sin.f64 y) (.f64 -2 (/.f64 (sin.f64 y) y))) (*.f64 (sin.f64 y) -2))
(/.f64 (.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 2 y))) (*.f64 (sin.f64 y) 2))
(/.f64 (.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y)) 2) 2)
(/.f64 -4 (.f64 (.f64 (sin.f64 y) 4) (/.f64 y (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))))))
(/.f64 (.f64 -2 (/.f64 1 (sin.f64 y))) (.f64 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))) -2))
(/.f64 (/.f64 -1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))))
(/.f64 (.f64 (/.f64 1 (sin.f64 y)) -4) (.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) 4))
(/.f64 (.f64 (sin.f64 y) (.f64 (/.f64 (sin.f64 y) y) 4)) (*.f64 (sin.f64 y) 4))
(/.f64 (.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y)) 4) 4)
(/.f64 -8 (.f64 (.f64 (sin.f64 y) 4) (.f64 (/.f64 y (.f64 (sin.f64 y) (sin.f64 y))) -2)))
(/.f64 (/.f64 -4 (/.f64 y (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))))) (.f64 (sin.f64 y) 4))
(/.f64 (.f64 2 (.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y)) 4)) 8)
(/.f64 (.f64 2 (/.f64 -4 (/.f64 y (.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))))) (.f64 (.f64 (sin.f64 y) 2) 4))
(/.f64 (neg.f64 (/.f64 -1 (sin.f64 y))) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))))))
(/.f64 (neg.f64 (/.f64 -4 (/.f64 y (.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))))) (.f64 (sin.f64 y) -4))
(pow.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y)) 1)
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y))))
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(+.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) (neg.f64 y))) 0)
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) (neg.f64 y))))
(+.f64 (-.f64 1 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y))) -1)
(-.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) (neg.f64 y))) 0)
(-.f64 0 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))
(-.f64 0 (/.f64 y (.f64 y (/.f64 y (.f64 (sin.f64 y) (sin.f64 y))))))
(.f64 -1 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))
(.f64 -1 (/.f64 y (.f64 y (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))))
(.f64 y (/.f64 -1 (.f64 y (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))))
(*.f64 (sin.f64 y) (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 (neg.f64 y) (/.f64 1 (.f64 y (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))))
(.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (neg.f64 y))) 1)
(.f64 1 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (neg.f64 y))))
(.f64 (.f64 y -2) (/.f64 1 (.f64 y (.f64 2 (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y)))))))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 -1 (*.f64 (/.f64 y (sin.f64 y)) 2)))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 (/.f64 (sin.f64 y) y) 2))
(.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) -1)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (sin.f64 y))
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(.f64 (/.f64 -1 (.f64 y (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))) y)
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(.f64 (/.f64 -1 (.f64 (/.f64 y (sin.f64 y)) 2)) (*.f64 (sin.f64 y) 2))
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(pow.f64 (.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y)) x) 1)

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

eval285.0ms (2.1%)

Compiler: Compiled 10169 to 5163 computations (49.2% saved)

prune117.0ms (0.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	745	6	751
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	746	12	758

Error

Counts

758 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.8b	(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
▶	35.1b	(/.f64 (/.f64 x y) (/.f64 1 y))
	34.0b	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
✓	5.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	39.5b	(/.f64 (*.f64 y x) y)
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	5.6b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
▶	39.6b	(/.f64 1 (/.f64 y (*.f64 y x)))
▶	34.4b	(/.f64 1 (/.f64 1 x))
▶	0.1b	(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	34.3b	x

Compiler

Compiled 159 to 109 computations (31.4% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
	0.1b	(/.f64 y (sin.f64 y))
✓	0.2b	(/.f64 -1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 28 to 11 computations (60.7% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`rational.json-1`
1618×	`rational.json-2`
1618×	`rational.json-4`
1618×	`rational.json-3`
1602×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	86	40
2	237	40
3	663	32
4	2372	32
5	6028	32

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

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

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

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1790×	`rational.json-simplify-35`
1300×	`rational.json-simplify-49`
942×	`rational.json-simplify-41`
784×	`rational.json-simplify-46`
668×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	2362
1	692	2362
2	1969	2362
3	5394	2350
4	7702	2350

Stop Event

1×	node limit

Counts

132 → 129

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(-.f64 (+.f64 (.f64 -1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 -1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))) 1)
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 0)
(+.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(+.f64 (/.f64 -1 (.f64 y (/.f64 2 (sin.f64 y)))) (/.f64 -1 (.f64 y (/.f64 2 (sin.f64 y)))))
(-.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 0)
(-.f64 0 (/.f64 (sin.f64 y) y))
(*.f64 -1 (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 -1 y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 1)
(*.f64 1 (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 -1/2 y))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 -1 y) 1/2))
(.f64 2 (/.f64 (sin.f64 y) (.f64 y -2)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 2))
(.f64 2 (.f64 (/.f64 -1/2 y) (sin.f64 y)))
(.f64 (/.f64 (.f64 (sin.f64 y) -2) y) 1/2)
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y -4)))
(*.f64 (/.f64 -1 y) (sin.f64 y))
(*.f64 (/.f64 -1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 (sin.f64 (neg.f64 y)) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) -1)
(*.f64 (/.f64 1 y) (sin.f64 (neg.f64 y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) -2) y))
(.f64 (/.f64 -1/2 y) (.f64 (sin.f64 y) 2))
(.f64 (.f64 (/.f64 -1 y) 1/2) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 -1 y))
(.f64 (/.f64 (sin.f64 y) (.f64 y -2)) 2)
(*.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 2) 2)
(.f64 (/.f64 1 (.f64 y -4)) (*.f64 (sin.f64 y) 4))
(pow.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 1)
(neg.f64 (/.f64 (sin.f64 y) y))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 0)
(+.f64 0 (/.f64 (sin.f64 y) (/.f64 y x)))
(-.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 0)
(-.f64 0 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 x)) (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 x (/.f64 (neg.f64 (/.f64 (*.f64 y -2) (sin.f64 y))) 2))
(/.f64 (neg.f64 x) (/.f64 y (sin.f64 (neg.f64 y))))
(/.f64 (neg.f64 x) (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 -1 y)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1)
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 1 (-.f64 0 (/.f64 (/.f64 y (neg.f64 x)) (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 (+.f64 y y) x))
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 -2 (*.f64 2 (/.f64 (/.f64 y (neg.f64 x)) (sin.f64 y))))
(/.f64 -2 (/.f64 (/.f64 (*.f64 y -2) (sin.f64 y)) x))
(/.f64 2 (/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) x))
(/.f64 2 (+.f64 (/.f64 (/.f64 y (sin.f64 y)) x) (/.f64 (/.f64 y (sin.f64 y)) x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 2) 2)
(/.f64 (/.f64 (*.f64 (sin.f64 y) -2) y) (+.f64 (/.f64 -1 x) (/.f64 -1 x)))
(/.f64 -4 (+.f64 (/.f64 (/.f64 (.f64 y -2) (sin.f64 y)) x) (/.f64 (/.f64 (.f64 y -2) (sin.f64 y)) x)))
(/.f64 -4 (+.f64 (.f64 2 (/.f64 (/.f64 y (neg.f64 x)) (sin.f64 y))) (.f64 2 (/.f64 (/.f64 y (neg.f64 x)) (sin.f64 y)))))
(/.f64 (+.f64 x x) (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 x -2) (/.f64 (.f64 y -2) (sin.f64 y)))
(/.f64 (.f64 (sin.f64 y) 4) (/.f64 (.f64 y 4) x))
(/.f64 (*.f64 (sin.f64 y) 4) (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x)))
(/.f64 (sin.f64 (neg.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 4 (+.f64 (/.f64 (.f64 y (/.f64 2 (sin.f64 y))) x) (/.f64 (.f64 y (/.f64 2 (sin.f64 y))) x)))
(/.f64 (.f64 (.f64 (sin.f64 y) 2) 4) (+.f64 (/.f64 (.f64 y 4) x) (/.f64 (.f64 y 4) x)))
(/.f64 (.f64 x 4) (.f64 (/.f64 y (sin.f64 y)) 4))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 4) 4)
(/.f64 (.f64 x -4) (.f64 (/.f64 y (sin.f64 (neg.f64 y))) 4))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))) -1)
(/.f64 (.f64 x (/.f64 (.f64 (sin.f64 y) -2) y)) -2)
(/.f64 (neg.f64 (.f64 (sin.f64 y) 4)) (/.f64 (.f64 y -4) x))
(/.f64 (neg.f64 (.f64 (sin.f64 y) 4)) (+.f64 (/.f64 (.f64 y -2) x) (/.f64 (*.f64 y -2) x)))
(/.f64 (.f64 (sin.f64 y) -2) (/.f64 (.f64 y -2) x))
(/.f64 (*.f64 (sin.f64 y) -2) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 (.f64 y (/.f64 2 (sin.f64 y))) 4))
(/.f64 (.f64 2 (.f64 x -4)) (+.f64 (.f64 (/.f64 y (sin.f64 (neg.f64 y))) 4) (.f64 (/.f64 y (sin.f64 (neg.f64 y))) 4)))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 4)) 8)
(/.f64 (.f64 2 (.f64 x (/.f64 (*.f64 (sin.f64 y) -2) y))) -4)
(/.f64 (.f64 (.f64 (sin.f64 y) 4) -2) (+.f64 (/.f64 (.f64 y -4) x) (/.f64 (.f64 y -4) x)))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 y (sin.f64 (neg.f64 y)))) -4)
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (/.f64 y (sin.f64 y)) 4)))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 y (sin.f64 y))) 4)
(/.f64 (/.f64 (*.f64 x -4) (/.f64 y (sin.f64 (neg.f64 y)))) 4)
(/.f64 (/.f64 x (neg.f64 (/.f64 1 (sin.f64 y)))) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) 2) (/.f64 (/.f64 y (sin.f64 (neg.f64 y))) 2))
(/.f64 (neg.f64 (.f64 x -2)) (.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (neg.f64 (.f64 x -2)) (-.f64 0 (/.f64 (.f64 y -2) (sin.f64 y))))
(/.f64 (+.f64 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 (neg.f64 y)))) (/.f64 (.f64 x 4) (/.f64 y (sin.f64 (neg.f64 y))))) -8)
(/.f64 (+.f64 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y))) (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 4)) (.f64 2 (.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 x (/.f64 (.f64 (sin.f64 y) -2) y))) (.f64 2 (.f64 x (/.f64 (.f64 (sin.f64 y) -2) y)))) -8)
(/.f64 (+.f64 (/.f64 (.f64 x -4) (/.f64 y (sin.f64 (neg.f64 y)))) (/.f64 (.f64 x -4) (/.f64 y (sin.f64 (neg.f64 y))))) 8)
(/.f64 (+.f64 (/.f64 x (neg.f64 (/.f64 1 (sin.f64 y)))) (/.f64 x (neg.f64 (/.f64 1 (sin.f64 y))))) (*.f64 y -2))
(/.f64 (neg.f64 (/.f64 x (neg.f64 (/.f64 1 (sin.f64 y))))) y)
(pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1)
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))

Outputs
-1
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(+.f64 (*.f64 1/6 (pow.f64 y 2)) -1)
(+.f64 -1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 (.f64 -1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2))) 1)
(+.f64 (.f64 1/6 (pow.f64 y 2)) (-.f64 (.f64 -1/120 (pow.f64 y 4)) 1))
(+.f64 -1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/120 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 -1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))) 1)
(+.f64 (+.f64 (.f64 -1/120 (pow.f64 y 4)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6)))) -1)
(+.f64 -1 (+.f64 (.f64 -1/120 (pow.f64 y 4)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6)))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (+.f64 (.f64 -1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6))) -1))
(+.f64 -1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(*.f64 -1 (/.f64 (sin.f64 y) y))
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(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (/.f64 y (sin.f64 y)) 4)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 4) (/.f64 y (sin.f64 y))) 4)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (*.f64 x -4) (/.f64 y (sin.f64 (neg.f64 y)))) 4)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 x (neg.f64 (/.f64 1 (sin.f64 y)))) (neg.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (neg.f64 x) 2) (/.f64 (/.f64 y (sin.f64 (neg.f64 y))) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (.f64 x -2)) (.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (.f64 x -2)) (-.f64 0 (/.f64 (.f64 y -2) (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (+.f64 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 (neg.f64 y)))) (/.f64 (.f64 x 4) (/.f64 y (sin.f64 (neg.f64 y))))) -8)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (+.f64 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y))) (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y)))) 8)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 4)) (.f64 2 (.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 4))) 16)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (+.f64 (.f64 2 (.f64 x (/.f64 (.f64 (sin.f64 y) -2) y))) (.f64 2 (.f64 x (/.f64 (.f64 (sin.f64 y) -2) y)))) -8)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (+.f64 (/.f64 (.f64 x -4) (/.f64 y (sin.f64 (neg.f64 y)))) (/.f64 (.f64 x -4) (/.f64 y (sin.f64 (neg.f64 y))))) 8)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (+.f64 (/.f64 x (neg.f64 (/.f64 1 (sin.f64 y)))) (/.f64 x (neg.f64 (/.f64 1 (sin.f64 y))))) (*.f64 y -2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (/.f64 x (neg.f64 (/.f64 1 (sin.f64 y))))) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`rational.json-1`
1922×	`rational.json-2`
1922×	`rational.json-4`
1922×	`rational.json-3`
1160×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	53	1
2	143	1
3	333	1
4	1415	1
5	5755	1

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational.json-simplify-2`
720×	`rational.json-simplify-49`
670×	`rational.json-simplify-59`
632×	`rational.json-simplify-51`
578×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	48
1	144	48
2	488	48
3	3671	48

Stop Event

1×	node limit

Counts

48 → 37

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.3b	(/.f64 (*.f64 y x) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite89.0ms (0.7%)

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

simplify229.0ms (1.7%)

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
(+.f64 x 0)
(+.f64 x (/.f64 0 y))
(+.f64 0 x)
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 y x) (neg.f64 y))))
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
(+.f64 (/.f64 0 y) x)
(-.f64 x 0)
(-.f64 0 (/.f64 (*.f64 y x) (neg.f64 y)))
(*.f64 y (/.f64 x y))
(*.f64 x 1)
(*.f64 x (/.f64 (/.f64 1 (/.f64 1 y)) y))
(*.f64 x (/.f64 (/.f64 2 (/.f64 1 y)) (+.f64 y y)))
(.f64 (.f64 y x) (/.f64 1 y))
(*.f64 1 x)
(.f64 (.f64 y (+.f64 x x)) (/.f64 1/2 y))
(.f64 (.f64 y (+.f64 x x)) (*.f64 (/.f64 1 y) 1/2))
(.f64 (.f64 y (+.f64 x x)) (*.f64 y (/.f64 (/.f64 1/2 y) y)))
(.f64 (+.f64 y y) (.f64 x (/.f64 1/2 y)))
(.f64 2 (.f64 x 1/2))
(.f64 2 (/.f64 (/.f64 (neg.f64 x) (/.f64 1 y)) (.f64 y -2)))
(.f64 2 (/.f64 (neg.f64 (.f64 (.f64 y x) -2)) (.f64 y 4)))
(.f64 (.f64 y (.f64 x 4)) (/.f64 1 (.f64 y 4)))
(.f64 (.f64 y 4) (/.f64 x (*.f64 y 4)))
(*.f64 (+.f64 x x) 1/2)
(.f64 (+.f64 x x) (.f64 (/.f64 1 y) (*.f64 y 1/2)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1 (/.f64 1 y)) (+.f64 y y)))
(.f64 (+.f64 x x) (/.f64 (/.f64 2 (/.f64 1 y)) (.f64 y 4)))
(.f64 (+.f64 x x) (/.f64 (.f64 y -2) (neg.f64 (*.f64 y 4))))
(*.f64 (/.f64 x y) y)
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y)))
(.f64 (/.f64 x y) (/.f64 (neg.f64 y) (.f64 (/.f64 1 y) (neg.f64 y))))
(.f64 (/.f64 1 y) (.f64 y x))
(.f64 (/.f64 1 y) (/.f64 (+.f64 y y) (.f64 (/.f64 1 y) (*.f64 y (/.f64 2 x)))))
(.f64 (/.f64 1 y) (/.f64 (neg.f64 y) (/.f64 (neg.f64 y) (.f64 y x))))
(.f64 (/.f64 1 y) (/.f64 (.f64 y 4) (/.f64 (.f64 y 4) (.f64 y x))))
(.f64 (.f64 y (neg.f64 x)) (/.f64 -1 y))
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(.f64 (/.f64 y (.f64 y -8)) (.f64 8 (.f64 (/.f64 x (neg.f64 y)) y)))
(.f64 (/.f64 y 8) (/.f64 (.f64 x 4) (*.f64 y 1/2)))
(.f64 (/.f64 y 8) (.f64 (/.f64 x y) 8))
(.f64 (/.f64 (.f64 x 4) (*.f64 y 1/2)) (/.f64 y 8))
(.f64 (/.f64 y 8) (/.f64 (.f64 x 4) (*.f64 y 1/2)))
(.f64 (/.f64 y 8) (.f64 (/.f64 x y) 8))
(.f64 (/.f64 (neg.f64 y) 8) (/.f64 (.f64 2 (*.f64 x 4)) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 y) 8) (/.f64 (.f64 x 8) (neg.f64 y)))
(.f64 (/.f64 y -8) (.f64 8 (/.f64 x (neg.f64 y))))
(.f64 (/.f64 (.f64 2 (*.f64 x 4)) (neg.f64 y)) (/.f64 (neg.f64 y) 8))
(.f64 (/.f64 (neg.f64 y) 8) (/.f64 (.f64 x 8) (neg.f64 y)))
(.f64 (/.f64 y -8) (.f64 8 (/.f64 x (neg.f64 y))))
(.f64 (/.f64 (.f64 y -2) 8) (/.f64 (*.f64 x 4) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 y) 4) (.f64 4 (/.f64 x (neg.f64 y))))
(.f64 4 (.f64 (/.f64 x (neg.f64 y)) (/.f64 y -4)))
(.f64 (.f64 y -1/4) (*.f64 x (/.f64 -4 y)))
(.f64 (/.f64 (.f64 x 4) (neg.f64 y)) (/.f64 (neg.f64 y) 4))
(.f64 (/.f64 (neg.f64 y) 4) (.f64 4 (/.f64 x (neg.f64 y))))
(.f64 4 (.f64 (/.f64 x (neg.f64 y)) (/.f64 y -4)))
(.f64 (.f64 y -1/4) (*.f64 x (/.f64 -4 y)))
(.f64 (/.f64 (.f64 x 4) (neg.f64 y)) (/.f64 (*.f64 y -2) 8))
(.f64 (/.f64 (neg.f64 y) 4) (.f64 4 (/.f64 x (neg.f64 y))))
(.f64 4 (.f64 (/.f64 x (neg.f64 y)) (/.f64 y -4)))
(.f64 (.f64 y -1/4) (*.f64 x (/.f64 -4 y)))
(.f64 (/.f64 (.f64 y 1/2) (/.f64 2 y)) (/.f64 (.f64 x (/.f64 2 y)) (.f64 y 1/2)))
(.f64 (.f64 1/2 (/.f64 y (/.f64 2 y))) (/.f64 (.f64 x (/.f64 2 y)) (.f64 y 1/2)))
(.f64 (/.f64 y (/.f64 4 y)) (.f64 x (/.f64 (/.f64 4 y) y)))
(.f64 (/.f64 (.f64 x (/.f64 2 y)) (.f64 y 1/2)) (/.f64 (.f64 y 1/2) (/.f64 2 y)))
(.f64 (.f64 1/2 (/.f64 y (/.f64 2 y))) (/.f64 (.f64 x (/.f64 2 y)) (.f64 y 1/2)))
(.f64 (/.f64 y (/.f64 4 y)) (.f64 x (/.f64 (/.f64 4 y) y)))
(.f64 (/.f64 (neg.f64 y) (.f64 2 (/.f64 2 y))) (/.f64 (.f64 2 (.f64 x (/.f64 2 y))) (neg.f64 y)))
(.f64 (/.f64 (/.f64 (neg.f64 y) 2) (/.f64 2 y)) (.f64 (*.f64 x (/.f64 2 y)) (/.f64 2 (neg.f64 y))))
(.f64 (/.f64 y (/.f64 2 (/.f64 y -2))) (.f64 2 (*.f64 (/.f64 2 y) (/.f64 x (neg.f64 y)))))
(.f64 (/.f64 y (/.f64 2 (.f64 y -1/2))) (/.f64 (*.f64 x (/.f64 -4 y)) y))
(.f64 (/.f64 (.f64 2 (.f64 x (/.f64 2 y))) (neg.f64 y)) (/.f64 (neg.f64 y) (.f64 2 (/.f64 2 y))))
(.f64 (/.f64 (/.f64 (neg.f64 y) 2) (/.f64 2 y)) (.f64 (*.f64 x (/.f64 2 y)) (/.f64 2 (neg.f64 y))))
(.f64 (/.f64 y (/.f64 2 (/.f64 y -2))) (.f64 2 (*.f64 (/.f64 2 y) (/.f64 x (neg.f64 y)))))
(.f64 (/.f64 y (/.f64 2 (.f64 y -1/2))) (/.f64 (*.f64 x (/.f64 -4 y)) y))
(.f64 (/.f64 (neg.f64 y) (/.f64 2 y)) (/.f64 (.f64 x (/.f64 2 y)) (neg.f64 y)))
(.f64 (/.f64 y (/.f64 2 (neg.f64 y))) (.f64 (/.f64 2 y) (/.f64 x (neg.f64 y))))
(.f64 (/.f64 y (/.f64 -2 y)) (.f64 x (/.f64 (/.f64 -2 y) y)))
(.f64 (/.f64 (.f64 x (/.f64 2 y)) (neg.f64 y)) (/.f64 (neg.f64 y) (/.f64 2 y)))
(.f64 (/.f64 y (/.f64 2 (neg.f64 y))) (.f64 (/.f64 2 y) (/.f64 x (neg.f64 y))))
(.f64 (/.f64 y (/.f64 -2 y)) (.f64 x (/.f64 (/.f64 -2 y) y)))
(.f64 (/.f64 y (.f64 2 (.f64 y -2))) (/.f64 (.f64 (.f64 y x) -2) (.f64 y 1/2)))
(.f64 (/.f64 y (.f64 y -4)) (.f64 -2 (/.f64 (.f64 x y) (*.f64 y 1/2))))
(.f64 (/.f64 y (.f64 y -4)) (.f64 (.f64 x (/.f64 y y)) -4))
(.f64 (/.f64 (.f64 (.f64 y x) -2) (.f64 y 1/2)) (/.f64 y (.f64 2 (.f64 y -2))))
(.f64 (/.f64 y (.f64 y -4)) (.f64 -2 (/.f64 (.f64 x y) (*.f64 y 1/2))))
(.f64 (/.f64 y (.f64 y -4)) (.f64 (.f64 x (/.f64 y y)) -4))
(.f64 (/.f64 (neg.f64 y) (.f64 2 (.f64 y -2))) (/.f64 (.f64 2 (.f64 (.f64 y x) -2)) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 y) (.f64 y -4)) (/.f64 (.f64 (.f64 x y) -4) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 y) (.f64 y -4)) (.f64 -4 (.f64 x (/.f64 y (neg.f64 y)))))
(.f64 (/.f64 (.f64 2 (.f64 (.f64 y x) -2)) (neg.f64 y)) (/.f64 (neg.f64 y) (.f64 2 (.f64 y -2))))
(.f64 (/.f64 (neg.f64 y) (.f64 y -4)) (/.f64 (.f64 (.f64 x y) -4) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 y) (.f64 y -4)) (.f64 -4 (.f64 x (/.f64 y (neg.f64 y)))))
(.f64 (/.f64 (/.f64 (.f64 y (*.f64 x 4)) y) y) (/.f64 y 4))
(.f64 (.f64 (.f64 x 4) (/.f64 y y)) (/.f64 y (.f64 y 4)))
(.f64 (.f64 y (.f64 x (/.f64 4 y))) (/.f64 y (.f64 y 4)))
(.f64 (.f64 x 4) (/.f64 (/.f64 (/.f64 y y) y) (/.f64 4 y)))
(.f64 (/.f64 (/.f64 (.f64 y (.f64 x 4)) y) (+.f64 y y)) (.f64 y 1/2))
(.f64 y (.f64 1/2 (/.f64 (.f64 x (.f64 y 4)) (*.f64 y (+.f64 y y)))))
(.f64 y (.f64 1/2 (.f64 (.f64 y 4) (.f64 x (/.f64 1/2 (.f64 y y))))))
(.f64 y (.f64 1/2 (/.f64 (/.f64 x y) (/.f64 y (+.f64 y y)))))
(.f64 (/.f64 (/.f64 (.f64 y (*.f64 x 4)) y) (neg.f64 y)) (/.f64 (neg.f64 y) 4))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(.f64 (/.f64 (/.f64 (.f64 y (.f64 x 4)) y) (.f64 y -2)) (/.f64 (*.f64 y -2) 4))
(.f64 (.f64 -2 (/.f64 (.f64 x y) y)) (/.f64 y (.f64 y -2)))
(.f64 -2 (.f64 (.f64 x (/.f64 y y)) (/.f64 y (.f64 y -2))))
(/.f64 (*.f64 x (/.f64 (neg.f64 y) (neg.f64 y))) (/.f64 y y))
(*.f64 (/.f64 (/.f64 1 (/.f64 1 y)) y) x)
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(*.f64 (/.f64 (/.f64 1 (/.f64 1 y)) (+.f64 y y)) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 (/.f64 y 1) (+.f64 y y)))
(*.f64 (+.f64 x x) (/.f64 y (+.f64 y y)))
(.f64 (/.f64 (/.f64 1 (/.f64 1 y)) (.f64 y 4)) (/.f64 (*.f64 y 4) (/.f64 y x)))
(.f64 (/.f64 (.f64 y 4) y) (.f64 x (/.f64 y (.f64 y 4))))
(.f64 4 (.f64 (/.f64 x (/.f64 y y)) (/.f64 y (*.f64 y 4))))
(*.f64 (/.f64 (/.f64 1 (/.f64 1 y)) (neg.f64 y)) (/.f64 (neg.f64 y) (/.f64 y x)))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(.f64 (/.f64 (/.f64 1 (/.f64 1 y)) (.f64 y -2)) (/.f64 (*.f64 y -2) (/.f64 y x)))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(.f64 (/.f64 (/.f64 2 (/.f64 1 y)) y) (.f64 x 1/2))
(.f64 x (.f64 1/2 (/.f64 (/.f64 y 1/2) y)))
(.f64 1/2 (.f64 (/.f64 y (*.f64 y 1/2)) x))
(*.f64 (/.f64 (/.f64 2 (/.f64 1 y)) (+.f64 y y)) x)
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(.f64 (/.f64 (/.f64 2 (/.f64 1 y)) (.f64 y 4)) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 (/.f64 y 1) (+.f64 y y)))
(*.f64 (+.f64 x x) (/.f64 y (+.f64 y y)))
(.f64 (/.f64 (/.f64 2 (/.f64 1 y)) (neg.f64 y)) (/.f64 (neg.f64 y) (.f64 y (/.f64 2 x))))
(.f64 (.f64 -2 (/.f64 y y)) (/.f64 (/.f64 (neg.f64 y) y) (/.f64 2 x)))
(.f64 -2 (.f64 (/.f64 y y) (/.f64 x (/.f64 2 (/.f64 y (neg.f64 y))))))
(.f64 -2 (.f64 (/.f64 y y) (/.f64 x (*.f64 -2 (/.f64 y y)))))
(.f64 (/.f64 (/.f64 2 (/.f64 1 y)) (.f64 y -2)) (/.f64 (neg.f64 y) (/.f64 y x)))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(*.f64 (/.f64 (/.f64 (neg.f64 x) (/.f64 1 y)) y) (/.f64 y (neg.f64 y)))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(.f64 (/.f64 (/.f64 (neg.f64 x) (/.f64 1 y)) (+.f64 y y)) (/.f64 (.f64 y -2) y))
(.f64 (.f64 -2 (/.f64 y y)) (/.f64 (neg.f64 x) (*.f64 (/.f64 1 y) (+.f64 y y))))
(.f64 -2 (.f64 (/.f64 y y) (/.f64 y (/.f64 1 (*.f64 x (/.f64 -1/2 y))))))
(.f64 -2 (/.f64 (.f64 x (/.f64 y (neg.f64 y))) (/.f64 y (*.f64 y 1/2))))
(.f64 (/.f64 (/.f64 (neg.f64 x) (/.f64 1 y)) (.f64 y 4)) (/.f64 (*.f64 y 4) (neg.f64 y)))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(.f64 (/.f64 (/.f64 (neg.f64 x) (/.f64 1 y)) (.f64 y -2)) 2)
(.f64 2 (/.f64 (/.f64 (neg.f64 x) (.f64 y -2)) (/.f64 1 y)))
(*.f64 2 (/.f64 (/.f64 y (/.f64 y (neg.f64 x))) -2))
(.f64 2 (/.f64 (.f64 x (/.f64 y (neg.f64 y))) -2))
(.f64 (/.f64 (/.f64 (.f64 y x) (neg.f64 y)) y) (neg.f64 y))
(.f64 (neg.f64 y) (/.f64 (.f64 x y) (*.f64 (neg.f64 y) y)))
(.f64 (neg.f64 y) (/.f64 (.f64 x (/.f64 y y)) (neg.f64 y)))
(.f64 (/.f64 (/.f64 (.f64 y x) (neg.f64 y)) (+.f64 y y)) (*.f64 y -2))
(.f64 y (.f64 -2 (/.f64 (.f64 x y) (.f64 (neg.f64 y) (+.f64 y y)))))
(.f64 (.f64 y -2) (/.f64 (*.f64 x (/.f64 y y)) (/.f64 y -1/2)))
(.f64 (.f64 x (/.f64 y (.f64 -2 (.f64 y y)))) (*.f64 y -2))
(.f64 (/.f64 (/.f64 (.f64 y x) (neg.f64 y)) (.f64 y 4)) (neg.f64 (.f64 y 4)))
(.f64 (neg.f64 (.f64 y 4)) (/.f64 (.f64 x y) (.f64 (neg.f64 y) (*.f64 y 4))))
(.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (*.f64 y -4))
(.f64 (/.f64 y (neg.f64 (.f64 y 4))) (/.f64 (neg.f64 (.f64 y (.f64 x 4))) y))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 x 4))) y) (/.f64 y (neg.f64 (.f64 y 4))))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(.f64 (/.f64 (+.f64 y y) (neg.f64 (.f64 y 4))) (/.f64 (neg.f64 (.f64 y (.f64 x 4))) (+.f64 y y)))
(.f64 (.f64 -2 (/.f64 (.f64 x y) y)) (/.f64 y (.f64 y -2)))
(.f64 -2 (.f64 (.f64 x (/.f64 y y)) (/.f64 y (.f64 y -2))))
(/.f64 (*.f64 x (/.f64 (neg.f64 y) (neg.f64 y))) (/.f64 y y))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 x 4))) (+.f64 y y)) (/.f64 (+.f64 y y) (neg.f64 (.f64 y 4))))
(.f64 (.f64 -2 (/.f64 (.f64 x y) y)) (/.f64 y (.f64 y -2)))
(.f64 -2 (.f64 (.f64 x (/.f64 y y)) (/.f64 y (.f64 y -2))))
(/.f64 (*.f64 x (/.f64 (neg.f64 y) (neg.f64 y))) (/.f64 y y))
(.f64 (/.f64 (.f64 y 4) (neg.f64 (.f64 y 4))) (/.f64 (neg.f64 (.f64 y (.f64 x 4))) (.f64 y 4)))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 x 4))) (.f64 y 4)) (/.f64 (.f64 y 4) (neg.f64 (.f64 y 4))))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(.f64 (/.f64 (.f64 y -2) (neg.f64 (*.f64 y 4))) (+.f64 x x))
(*.f64 y (/.f64 x y))
(*.f64 x (/.f64 y y))
(*.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 (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 y (*.f64 y x)))
✓	12.4b	(/.f64 y (*.f64 y x))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`rational.json-1`
1802×	`rational.json-2`
1802×	`rational.json-3`
1546×	`rational.json-simplify-35`
836×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	70	26
2	206	8
3	598	8
4	2215	8
5	6654	8

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational.json-simplify-51`
1206×	`rational.json-simplify-54`
1010×	`rational.json-simplify-43`
710×	`rational.json-simplify-1`
550×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	653
1	301	629
2	843	629
3	3723	629
4	7251	629

Stop Event

1×	node limit

Counts

137 → 98

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.4b	(/.f64 (/.f64 x y) (/.f64 1 y))

Compiler

Compiled 18 to 9 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite114.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`rational.json-1`
1848×	`rational.json-2`
1610×	`rational.json-simplify-35`
978×	`rational.json-simplify-50`
890×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	74	13
2	253	1
3	901	1
4	2847	1
5	7306	1

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

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

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1590×	`rational.json-simplify-51`
1180×	`rational.json-simplify-43`
1028×	`rational.json-simplify-61`
874×	`rational.json-simplify-49`
718×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	228
1	284	216
2	889	192
3	5191	192

Stop Event

1×	node limit

Counts

96 → 77

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

eval1.1s (8.4%)

Compiler: Compiled 9912 to 5452 computations (45% saved)

prune817.0ms (6.1%)

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	820	17	837
Fresh	0	2	2
Picked	0	1	1
Done	1	8	9
Total	821	28	849

Error

Counts

849 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(/.f64 (/.f64 x (/.f64 -1 y)) (neg.f64 y))
✓	7.8b	(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
✓	35.1b	(/.f64 (/.f64 x y) (/.f64 1 y))
▶	34.0b	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
	40.1b	(/.f64 (/.f64 2 (/.f64 (/.f64 2 x) y)) y)
▶	39.9b	(/.f64 (/.f64 2 y) (/.f64 (/.f64 2 y) x))
✓	5.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	39.5b	(/.f64 (*.f64 y x) y)
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	5.6b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	34.4b	(/.f64 1 (/.f64 1 x))
	48.5b	(/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x)))))
	40.0b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) y) y))
	34.3b	(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
	39.3b	(+.f64 -1 (-.f64 1 (neg.f64 x)))
	39.6b	(*.f64 (/.f64 y (/.f64 2 x)) (/.f64 2 y))
▶	41.2b	(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
▶	35.1b	(*.f64 (/.f64 x y) y)
	39.5b	(.f64 (/.f64 1 y) (.f64 y x))
	41.1b	(.f64 (/.f64 1 x) (.f64 x x))
✓	0.1b	(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
	34.5b	(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
	44.6b	(.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (*.f64 y -4))
	51.4b	(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
	43.9b	(.f64 (neg.f64 y) (/.f64 (.f64 x y) (*.f64 (neg.f64 y) y)))
▶	35.1b	(.f64 y (.f64 (neg.f64 x) (/.f64 -1 y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	34.3b	x

Compiler

Compiled 467 to 319 computations (31.7% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 y) (*.f64 y 1/6))
✓	0.4b	(*.f64 y 1/6)
✓	7.2b	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
1.0ms	x	@	0	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
0.0ms	x	@	-inf	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
0.0ms	y	@	-inf	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
0.0ms	y	@	inf	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))

rewrite189.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`rational.json-1`
1972×	`rational.json-2`
1696×	`rational.json-simplify-35`
900×	`exponential.json-3`
900×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	92	57
2	259	57
3	755	57
4	2594	57
5	7012	57

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(*.f64 y 1/6)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 x y) (+.f64 (*.f64 y 1/3) (*.f64 (/.f64 1 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 2 y)) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 2) (/.f64 x (+.f64 (*.f64 y 1/3) (*.f64 (/.f64 1 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) y) (/.f64 -1 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 x (/.f64 2 y)) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (+.f64 (*.f64 y 1/3) (*.f64 (/.f64 1 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y y)) (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 y 1/3) (*.f64 (/.f64 1 y) 2))) (*.f64 (/.f64 1 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4)) (*.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 (neg.f64 x) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y) (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (*.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 y 2/3)) (*.f64 2 (*.f64 y 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 1/6) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y 1/3) (*.f64 (/.f64 1 y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 y 1/3) (*.f64 (/.f64 1 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y 1/3) (*.f64 (/.f64 1 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))))

simplify864.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1080×	`rational.json-simplify-61`
1004×	`rational.json-simplify-51`
974×	`rational.json-simplify-35`
964×	`rational.json-simplify-53`
926×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	3938
1	475	3914
2	1320	3914
3	4232	3902
4	7368	3902

Stop Event

1×	node limit

Counts

146 → 142

Calls

Call 1

Inputs
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
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(*.f64 1/6 y)
(/.f64 1 y)
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(*.f64 1/6 y)
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Outputs
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(-.f64 (*.f64 y 1/6) 0)
(*.f64 y 1/6)
(/.f64 (*.f64 y 1/6) 1)
(*.f64 y 1/6)
(/.f64 (*.f64 y 1/3) 2)
(*.f64 y 1/6)
(/.f64 (*.f64 y 2/3) 4)
(*.f64 y 1/6)
(/.f64 (.f64 2 (.f64 y 2/3)) 8)
(*.f64 y 1/6)
(/.f64 (+.f64 (.f64 2 (.f64 y 2/3)) (.f64 2 (.f64 y 2/3))) 16)
(*.f64 y 1/6)
(pow.f64 (*.f64 y 1/6) 1)
(*.f64 y 1/6)
(-.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 0)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(-.f64 0 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6)))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 1)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2)) 1/2)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 2 (/.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 2))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4) 1/4)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6))) -1)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 -1 (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 1/2 (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2)))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 (/.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 2) 2)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 1/4 (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(/.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 1)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(/.f64 (+.f64 (.f64 y 1/3) (.f64 (/.f64 1 y) 2)) 2)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 4) 4)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(/.f64 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) -1)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(/.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)))) -2)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4)) 8)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 4))) 16)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(pow.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 1)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(neg.f64 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% 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)

rewrite174.0ms (1.3%)

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

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

simplify205.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

165 → 151

Calls

Call 1

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

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
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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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (neg.f64 x) (/.f64 -1 y))
✓	14.3b	(.f64 y (.f64 (neg.f64 x) (/.f64 -1 y)))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series390.0ms (2.9%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
388.0ms	x	@	0	(.f64 y (.f64 (neg.f64 x) (/.f64 -1 y)))
0.0ms	x	@	-inf	(*.f64 (neg.f64 x) (/.f64 -1 y))
0.0ms	y	@	0	(*.f64 (neg.f64 x) (/.f64 -1 y))
0.0ms	y	@	-inf	(*.f64 (neg.f64 x) (/.f64 -1 y))
0.0ms	x	@	0	(*.f64 (neg.f64 x) (/.f64 -1 y))

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`rational.json-1`
1126×	`rational.json-2`
1126×	`rational.json-4`
1126×	`rational.json-3`
1122×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	76	40
2	190	36
3	449	20
4	1249	8
5	4488	8

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational.json-simplify-54`
1012×	`rational.json-simplify-43`
852×	`rational.json-simplify-35`
778×	`rational.json-simplify-2`
724×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	797
1	801	797
2	2917	797
3	5129	797

Stop Event

1×	node limit

Counts

161 → 116

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y (/.f64 y x))
✓	14.3b	(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
✓	14.6b	(/.f64 y (*.f64 y (/.f64 y x)))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite124.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`rational.json-1`
1786×	`rational.json-2`
1786×	`rational.json-4`
1786×	`rational.json-3`
1530×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	57
1	59	57
2	182	21
3	715	21
4	2483	21
5	6425	21

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

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

Outputs

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

simplify194.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational.json-simplify-35`
1098×	`rational.json-simplify-44`
986×	`rational.json-simplify-47`
786×	`rational.json-simplify-50`
746×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	2701
1	1429	2391
2	5800	2207

Stop Event

1×	node limit

Counts

311 → 264

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 2 y) x)
✓	12.7b	(/.f64 (/.f64 2 y) (/.f64 (/.f64 2 y) x))

Compiler

Compiled 22 to 14 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite119.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`rational.json-1`
1564×	`rational.json-2`
1244×	`exponential.json-3`
1244×	`rational.json-4`
1244×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	69	14
2	285	14
3	1744	14
4	4580	14
5	7779	14

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1694×	`rational.json-simplify-35`
1374×	`rational.json-simplify-51`
1032×	`rational.json-simplify-1`
808×	`rational.json-simplify-2`
584×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	896
1	190	896
2	519	896
3	2038	896
4	4418	896
5	6969	896

Stop Event

1×	node limit

Counts

104 → 63

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

eval244.0ms (1.8%)

Compiler: Compiled 8764 to 5118 computations (41.6% saved)

prune211.0ms (1.6%)

Pruning

41 alts after pruning (28 fresh and 13 done)

	Pruned	Kept	Total
New	714	22	736
Fresh	8	6	14
Picked	0	1	1
Done	1	12	13
Total	723	41	764

Error

Counts

764 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	34.2b	(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
	39.5b	(/.f64 (/.f64 x (/.f64 1 y)) y)
✓	7.8b	(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
✓	35.1b	(/.f64 (/.f64 x y) (/.f64 1 y))
✓	34.0b	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
	40.1b	(/.f64 (/.f64 2 (/.f64 (/.f64 2 x) y)) y)
✓	39.9b	(/.f64 (/.f64 2 y) (/.f64 (/.f64 2 y) x))
	40.0b	(/.f64 (/.f64 2 y) (/.f64 2 (*.f64 y x)))
✓	5.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	39.5b	(/.f64 (*.f64 y x) y)
	34.0b	(/.f64 (.f64 x (/.f64 2 y)) (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2)))
	34.5b	(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
	34.2b	(/.f64 y (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	26.5b	(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
✓	5.6b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	34.4b	(/.f64 1 (/.f64 1 x))
	48.5b	(/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x)))))
	34.3b	(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
	34.3b	(/.f64 -1 (/.f64 (neg.f64 (/.f64 y x)) y))
	39.3b	(-.f64 (+.f64 x -1) -1)
	39.3b	(+.f64 (-.f64 x -1) -1)
	34.0b	(.f64 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2) 2)
	26.5b	(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
	26.6b	(.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y) (+.f64 x x))
	41.2b	(*.f64 (/.f64 y (/.f64 y (/.f64 x y))) y)
✓	41.2b	(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
	31.4b	(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1 y))
	34.0b	(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
✓	35.1b	(*.f64 (/.f64 x y) y)
	39.5b	(.f64 (/.f64 1 y) (.f64 y x))
	41.1b	(.f64 (/.f64 1 x) (.f64 x x))
	31.4b	(.f64 (/.f64 1/2 y) (.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
✓	0.1b	(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
	44.6b	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) y)
	35.1b	(.f64 (.f64 (/.f64 1 y) x) y)
	34.5b	(*.f64 y (/.f64 1 (/.f64 y x)))
	39.5b	(*.f64 y (+.f64 (-.f64 1 (/.f64 x (neg.f64 y))) -1))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	31.5b	(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))
	34.3b	x

Compiler

Compiled 440 to 310 computations (29.5% saved)

regimes220.0ms (1.6%)

Counts

52 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 x y) y)
(+.f64 (-.f64 x -1) -1)
(-.f64 (+.f64 x -1) -1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(*.f64 y (/.f64 1 (/.f64 y x)))
(.f64 (.f64 (/.f64 1 y) x) y)
(.f64 (/.f64 1 x) (.f64 x x))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (/.f64 x (/.f64 1 y)) y)
(.f64 y (.f64 (neg.f64 x) (/.f64 -1 y)))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 y x)) y))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
(/.f64 (/.f64 x (/.f64 -1 y)) (neg.f64 y))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(.f64 (.f64 (/.f64 x (*.f64 y y)) y) y)
(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
(*.f64 (/.f64 y (/.f64 2 x)) (/.f64 2 y))
(*.f64 (/.f64 y (/.f64 y (/.f64 x y))) y)
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) y) y))
(/.f64 (/.f64 2 y) (/.f64 2 (*.f64 y x)))
(/.f64 (/.f64 2 y) (/.f64 (/.f64 2 y) x))
(/.f64 (/.f64 2 (/.f64 (/.f64 2 x) y)) y)
(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 y (+.f64 (-.f64 1 (/.f64 x (neg.f64 y))) -1))
(/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x)))))
(.f64 (neg.f64 y) (/.f64 (.f64 x y) (*.f64 (neg.f64 y) y)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))
(.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (*.f64 y -4))
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1 y))
(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
(.f64 (/.f64 1/2 y) (.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y) (+.f64 x x))
(.f64 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2) 2)
(/.f64 (.f64 x (/.f64 2 y)) (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
(.f64 x (.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))) (/.f64 y (sin.f64 y)))))

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

Calls

4 calls:

61.0ms	x
24.0ms	y
21.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
20.0ms	(/.f64 (sin.f64 y) y)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
0.1b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 487 to 271 computations (44.4% saved)

regimes231.0ms (1.7%)

Counts

50 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 x y) y)
(+.f64 (-.f64 x -1) -1)
(-.f64 (+.f64 x -1) -1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(*.f64 y (/.f64 1 (/.f64 y x)))
(.f64 (.f64 (/.f64 1 y) x) y)
(.f64 (/.f64 1 x) (.f64 x x))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (/.f64 x (/.f64 1 y)) y)
(.f64 y (.f64 (neg.f64 x) (/.f64 -1 y)))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 y x)) y))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
(/.f64 (/.f64 x (/.f64 -1 y)) (neg.f64 y))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(.f64 (.f64 (/.f64 x (*.f64 y y)) y) y)
(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
(*.f64 (/.f64 y (/.f64 2 x)) (/.f64 2 y))
(*.f64 (/.f64 y (/.f64 y (/.f64 x y))) y)
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) y) y))
(/.f64 (/.f64 2 y) (/.f64 2 (*.f64 y x)))
(/.f64 (/.f64 2 y) (/.f64 (/.f64 2 y) x))
(/.f64 (/.f64 2 (/.f64 (/.f64 2 x) y)) y)
(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 y (+.f64 (-.f64 1 (/.f64 x (neg.f64 y))) -1))
(/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x)))))
(.f64 (neg.f64 y) (/.f64 (.f64 x y) (*.f64 (neg.f64 y) y)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))
(.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (*.f64 y -4))
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1 y))
(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
(.f64 (/.f64 1/2 y) (.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y) (+.f64 x x))
(.f64 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2) 2)
(/.f64 (.f64 x (/.f64 2 y)) (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))

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

Calls

4 calls:

72.0ms	y
46.0ms	x
20.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
20.0ms	(/.f64 (sin.f64 y) y)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
0.1b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 459 to 261 computations (43.1% saved)

regimes92.0ms (0.7%)

Counts

46 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 x y) y)
(+.f64 (-.f64 x -1) -1)
(-.f64 (+.f64 x -1) -1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(*.f64 y (/.f64 1 (/.f64 y x)))
(.f64 (.f64 (/.f64 1 y) x) y)
(.f64 (/.f64 1 x) (.f64 x x))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (/.f64 x (/.f64 1 y)) y)
(.f64 y (.f64 (neg.f64 x) (/.f64 -1 y)))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 y x)) y))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
(/.f64 (/.f64 x (/.f64 -1 y)) (neg.f64 y))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(.f64 (.f64 (/.f64 x (*.f64 y y)) y) y)
(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
(*.f64 (/.f64 y (/.f64 2 x)) (/.f64 2 y))
(*.f64 (/.f64 y (/.f64 y (/.f64 x y))) y)
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) y) y))
(/.f64 (/.f64 2 y) (/.f64 2 (*.f64 y x)))
(/.f64 (/.f64 2 y) (/.f64 (/.f64 2 y) x))
(/.f64 (/.f64 2 (/.f64 (/.f64 2 x) y)) y)
(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 y (+.f64 (-.f64 1 (/.f64 x (neg.f64 y))) -1))
(/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x)))))
(.f64 (neg.f64 y) (/.f64 (.f64 x y) (*.f64 (neg.f64 y) y)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))
(.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (*.f64 y -4))
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1 y))
(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
(.f64 (/.f64 1/2 y) (.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y) (+.f64 x x))
(.f64 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2) 2)
(/.f64 (.f64 x (/.f64 2 y)) (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2)))
(*.f64 x (/.f64 (sin.f64 y) y))

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

Calls

4 calls:

22.0ms	x
21.0ms	y
20.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
18.0ms	(/.f64 (sin.f64 y) y)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
0.1b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 431 to 251 computations (41.8% saved)

regimes212.0ms (1.6%)

Counts

45 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 x y) y)
(+.f64 (-.f64 x -1) -1)
(-.f64 (+.f64 x -1) -1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(*.f64 y (/.f64 1 (/.f64 y x)))
(.f64 (.f64 (/.f64 1 y) x) y)
(.f64 (/.f64 1 x) (.f64 x x))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (/.f64 x (/.f64 1 y)) y)
(.f64 y (.f64 (neg.f64 x) (/.f64 -1 y)))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 y x)) y))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
(/.f64 (/.f64 x (/.f64 -1 y)) (neg.f64 y))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(.f64 (.f64 (/.f64 x (*.f64 y y)) y) y)
(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
(*.f64 (/.f64 y (/.f64 2 x)) (/.f64 2 y))
(*.f64 (/.f64 y (/.f64 y (/.f64 x y))) y)
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) y) y))
(/.f64 (/.f64 2 y) (/.f64 2 (*.f64 y x)))
(/.f64 (/.f64 2 y) (/.f64 (/.f64 2 y) x))
(/.f64 (/.f64 2 (/.f64 (/.f64 2 x) y)) y)
(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 y (+.f64 (-.f64 1 (/.f64 x (neg.f64 y))) -1))
(/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x)))))
(.f64 (neg.f64 y) (/.f64 (.f64 x y) (*.f64 (neg.f64 y) y)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))
(.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (*.f64 y -4))
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1 y))
(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
(.f64 (/.f64 1/2 y) (.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y) (+.f64 x x))
(.f64 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2) 2)
(/.f64 (.f64 x (/.f64 2 y)) (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2)))

Outputs
(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)

Calls

2 calls:

180.0ms	x
22.0ms	y

Results

Error	Segments	Branch
26.5b	1	`x`
26.5b	1	`y`

Compiler

Compiled 411 to 239 computations (41.8% saved)

regimes101.0ms (0.8%)

Counts

40 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 x y) y)
(+.f64 (-.f64 x -1) -1)
(-.f64 (+.f64 x -1) -1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(*.f64 y (/.f64 1 (/.f64 y x)))
(.f64 (.f64 (/.f64 1 y) x) y)
(.f64 (/.f64 1 x) (.f64 x x))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (/.f64 x (/.f64 1 y)) y)
(.f64 y (.f64 (neg.f64 x) (/.f64 -1 y)))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
(/.f64 -1 (/.f64 (neg.f64 (/.f64 y x)) y))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
(/.f64 (/.f64 x (/.f64 -1 y)) (neg.f64 y))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(.f64 (.f64 (/.f64 x (*.f64 y y)) y) y)
(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
(*.f64 (/.f64 y (/.f64 2 x)) (/.f64 2 y))
(*.f64 (/.f64 y (/.f64 y (/.f64 x y))) y)
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) y) y))
(/.f64 (/.f64 2 y) (/.f64 2 (*.f64 y x)))
(/.f64 (/.f64 2 y) (/.f64 (/.f64 2 y) x))
(/.f64 (/.f64 2 (/.f64 (/.f64 2 x) y)) y)
(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 y (+.f64 (-.f64 1 (/.f64 x (neg.f64 y))) -1))
(/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x)))))
(.f64 (neg.f64 y) (/.f64 (.f64 x y) (*.f64 (neg.f64 y) y)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))
(.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (*.f64 y -4))
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1 y))

Outputs
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))

Calls

2 calls:

71.0ms	x
20.0ms	y

Results

Error	Segments	Branch
26.5b	1	`x`
26.5b	1	`y`

Compiler

Compiled 338 to 188 computations (44.4% saved)

regimes159.0ms (1.2%)

Counts

34 → 3

Calls

Call 1

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

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

Calls

2 calls:

110.0ms	y
42.0ms	x

Results

Error	Segments	Branch
27.0b	3	`x`
26.6b	3	`y`

Compiler

Compiled 264 to 142 computations (46.2% saved)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.1869343668612094e+44	9.474421089521243e+44
14.0ms	-1.329141265196992e-7	-1.617499320631074e-8

Results

25.0ms

192×

body

256

valid

Compiler

Compiled 211 to 147 computations (30.3% saved)

regimes86.0ms (0.6%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	y
39.0ms	x

Results

Error	Segments	Branch
27.0b	3	`x`
26.6b	3	`y`

Compiler

Compiled 233 to 123 computations (47.2% saved)

bsearch91.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	9.142868292061393e-17	899053039028.1953
62.0ms	-1.329141265196992e-7	-1.617499320631074e-8

Results

87.0ms

272×

body

256

valid

Compiler

Compiled 285 to 179 computations (37.2% saved)

regimes180.0ms (1.3%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

94.0ms	x
30.0ms	y

Results

Error	Segments	Branch
27.0b	3	`x`
26.7b	3	`y`

Compiler

Compiled 152 to 77 computations (49.3% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	2.0332337799478394e+86	1.3042405035340855e+91
14.0ms	-1.329141265196992e-7	-1.617499320631074e-8

Results

24.0ms	114×	body	512	valid
14.0ms	110×	body	256	valid

Compiler

Compiled 237 to 149 computations (37.1% saved)

regimes104.0ms (0.8%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

2 calls:

70.0ms	y
30.0ms	x

Results

Error	Segments	Branch
27.0b	3	`x`
26.8b	3	`y`

Compiler

Compiled 143 to 75 computations (47.6% saved)

bsearch183.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	55711898521566.086	9.289971902222085e+37
81.0ms	-2.3285451002974033e+43	-1.1516833167271111e+37

Results

179.0ms

320×

body

256

valid

Compiler

Compiled 253 to 209 computations (17.4% saved)

regimes20.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
9.0ms	y

Results

Error	Segments	Branch
27.5b	3	`x`
26.8b	3	`y`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	55711898521566.086	9.289971902222085e+37
23.0ms	-2.3285451002974033e+43	-1.1516833167271111e+37

Results

42.0ms

320×

body

256

valid

Compiler

Compiled 253 to 209 computations (17.4% saved)

regimes20.0ms (0.1%)

Accuracy

Total -14.3b remaining (-52%)

Threshold costs -14.3b (-52%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
9.0ms	y

Results

Error	Segments	Branch
27.5b	3	`x`
27.5b	3	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch13.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	9.142868292061393e-17	899053039028.1953
2.0ms	-1.0243004688443567e+66	-7.447760738146964e+56

Results

12.0ms

96×

body

256

valid

Compiler

Compiled 85 to 57 computations (32.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	476

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(if (<=.f64 y -7253554917687775/75557863725914323419136) (.f64 (.f64 (/.f64 x (.f64 y y)) y) y) (if (<=.f64 y 120000000000000006624225560654490289165041664) x (.f64 y (+.f64 (-.f64 1 (/.f64 x (neg.f64 y))) -1))))
(if (<=.f64 y -7253554917687775/75557863725914323419136) (.f64 (.f64 (/.f64 x (.f64 y y)) y) y) (if (<=.f64 y 4486248158726163/590295810358705651712) x (.f64 (/.f64 y (*.f64 y (/.f64 y x))) y)))
(if (<=.f64 y -7253554917687775/75557863725914323419136) (.f64 (.f64 (/.f64 x (.f64 y y)) y) y) (if (<=.f64 y 209999999999999989268953304860595761634197302897526657546290320964884126167692677742592) x (.f64 (.f64 (/.f64 x (.f64 y y)) y) y)))
(if (<=.f64 y -18499999999999999677977146996759199744) (-.f64 (+.f64 x -1) -1) (if (<=.f64 y 2300000000000000000000) x (-.f64 (+.f64 x -1) -1)))
(if (<=.f64 y -18499999999999999677977146996759199744) (+.f64 (-.f64 x -1) -1) (if (<=.f64 y 4800000000000000) x (+.f64 (-.f64 x -1) -1)))
(if (<=.f64 y -999999999999999945322333868247445125709646570021247924665841614848) (.f64 (/.f64 x y) y) (if (<=.f64 y 4835703278458517/4835703278458516698824704) x (.f64 (/.f64 x y) y)))
x

Outputs
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(if (<=.f64 y -7253554917687775/75557863725914323419136) (.f64 (.f64 (/.f64 x (.f64 y y)) y) y) (if (<=.f64 y 120000000000000006624225560654490289165041664) x (.f64 y (+.f64 (-.f64 1 (/.f64 x (neg.f64 y))) -1))))
(if (<=.f64 y -7253554917687775/75557863725914323419136) (.f64 (.f64 (/.f64 x (.f64 y y)) y) y) (if (<=.f64 y 4486248158726163/590295810358705651712) x (.f64 (/.f64 y (*.f64 y (/.f64 y x))) y)))
(if (<=.f64 y -7253554917687775/75557863725914323419136) (.f64 (.f64 (/.f64 x (.f64 y y)) y) y) (if (<=.f64 y 209999999999999989268953304860595761634197302897526657546290320964884126167692677742592) x (.f64 (.f64 (/.f64 x (.f64 y y)) y) y)))
(if (<=.f64 y -18499999999999999677977146996759199744) (-.f64 (+.f64 x -1) -1) (if (<=.f64 y 2300000000000000000000) x (-.f64 (+.f64 x -1) -1)))
(if (<=.f64 y -18499999999999999677977146996759199744) (+.f64 (-.f64 x -1) -1) (if (<=.f64 y 4800000000000000) x (+.f64 (-.f64 x -1) -1)))
(if (<=.f64 y -999999999999999945322333868247445125709646570021247924665841614848) (.f64 (/.f64 x y) y) (if (<=.f64 y 4835703278458517/4835703278458516698824704) x (.f64 (/.f64 x y) y)))
x

Compiler

Compiled 209 to 129 computations (38.3% saved)

soundness0.0ms (0%)

end85.0ms (0.6%)

Compiler: Compiled 187 to 96 computations (48.7% saved)