Details

analyze69.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
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)

sample1.3s (15.5%)

Results

703.0ms	6074×	body	256	valid
397.0ms	1319×	body	1024	valid
181.0ms	860×	body	512	valid
1.0ms	3×	body	2048	valid

Bogosity

preprocess115.0ms (1.4%)

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)

simplify98.0ms (1.2%)

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

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series5.0ms (0.1%)

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))

rewrite90.0ms (1.1%)

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)))))

simplify100.0ms (1.2%)

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))

eval45.0ms (0.5%)

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

prune41.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	237	11	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	237	12	249

Error

Counts

249 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	7.5b	(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
▶	0.2b	(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
	7.5b	(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
▶	7.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
	7.9b	(/.f64 (sin.f64 y) (/.f64 y x))
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	8.0b	(/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y x)))
▶	8.3b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y)))
▶	7.4b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
	24.4b	(.f64 x (.f64 y (/.f64 (sin.f64 y) (/.f64 y (/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y))))))
	32.8b	x

Compiler

Compiled 219 to 143 computations (34.7% saved)

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

rewrite83.0ms (1%)

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))))))))

simplify117.0ms (1.4%)

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))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(*.f64 (sin.f64 y) (/.f64 x y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`rational.json-1`
1806×	`rational.json-2`
1806×	`rational.json-4`
1806×	`rational.json-3`
1798×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	58	17
2	156	17
3	377	17
4	998	17
5	4604	17

Stop Event

1×	node limit

Counts

1 → 141

Calls

Call 1

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

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

simplify634.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational.json-simplify-35`
1446×	`rational.json-simplify-2`
780×	`rational.json-simplify-51`
752×	`rational.json-simplify-61`
696×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	3161
1	1374	3149
2	4965	3125
3	7682	3125

Stop Event

1×	node limit

Counts

165 → 167

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 y) x)
✓	7.4b	(/.f64 (*.f64 (sin.f64 y) x) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

12 calls:

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

rewrite86.0ms (1%)

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)))))))

simplify179.0ms (2.1%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`exponential.json-3`
1554×	`rational.json-1`
1554×	`rational.json-2`
1554×	`rational.json-4`
1554×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	88	17
2	286	17
3	990	17
4	4404	17

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

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

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1176×	`rational.json-simplify-2`
906×	`rational.json-simplify-53`
870×	`rational.json-simplify-41`
790×	`rational.json-simplify-44`
790×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	2178
1	436	2142
2	1102	2118
3	3512	2106
4	6099	2106

Stop Event

1×	node limit

Counts

110 → 116

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

Outputs
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 x (.f64 -1/6 (.f64 x (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 4) (.f64 x 1/120)) (+.f64 x (.f64 (pow.f64 y 2) (.f64 x -1/6))))
(+.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 -1/6 (.f64 x (pow.f64 y 2))) (.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 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(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))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1/2 (sin.f64 y))
✓	0.9b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y)))
✓	7.0b	(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y))

Compiler

Compiled 32 to 15 computations (53.1% saved)

series4.0ms (0%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y))
1.0ms	y	@	-inf	(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y))
0.0ms	y	@	0	(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y))
0.0ms	y	@	inf	(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y))
0.0ms	y	@	inf	(/.f64 1/2 (sin.f64 y))

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`rational.json-1`
1352×	`rational.json-2`
1352×	`rational.json-4`
1352×	`rational.json-3`
1348×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	91	51
2	343	51
3	1528	51
4	4479	51

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y)))
(/.f64 1/2 (sin.f64 y))

Outputs

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

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

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1506×	`rational.json-simplify-35`
1312×	`rational.json-simplify-2`
862×	`rational.json-simplify-41`
636×	`exponential.json-simplify-26`
628×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	3036
1	425	3036
2	927	3036
3	2568	3024
4	5223	3024
5	7159	3024

Stop Event

1×	node limit

Counts

144 → 132

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 7/720 (/.f64 (pow.f64 y 4) x)) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 31/30240 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/720 (/.f64 (pow.f64 y 4) x)) (.f64 1/2 (/.f64 1 x)))))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) 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 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (+.f64 (.f64 7/720 (pow.f64 y 3)) (*.f64 1/12 y)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (+.f64 (.f64 7/720 (pow.f64 y 3)) (+.f64 (.f64 1/12 y) (.f64 31/30240 (pow.f64 y 5)))))
(+.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y)) 0)
(+.f64 0 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y)))))
(+.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) (.f64 (/.f64 x y) 2)) (/.f64 (/.f64 1/2 (sin.f64 y)) (.f64 (/.f64 x y) 2)))
(-.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y)) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y))))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 y (/.f64 1/2 (.f64 (sin.f64 y) x)))
(.f64 y (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/2 x)))
(*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 y x))
(.f64 (/.f64 (.f64 y (/.f64 1/2 x)) (sin.f64 y)) 1)
(.f64 1 (/.f64 (.f64 y (/.f64 1/2 x)) (sin.f64 y)))
(.f64 (+.f64 y y) (/.f64 1/2 (.f64 (sin.f64 y) (+.f64 x x))))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/4 x)))
(.f64 (+.f64 y y) (.f64 1/2 (/.f64 1/2 (*.f64 (sin.f64 y) x))))
(.f64 (+.f64 y y) (.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 1/2 x)))
(.f64 (/.f64 y (.f64 (sin.f64 y) x)) 1/2)
(.f64 (/.f64 1 (sin.f64 y)) (.f64 y (/.f64 1/2 x)))
(.f64 (/.f64 1 (sin.f64 y)) (.f64 1/2 (/.f64 y x)))
(.f64 (.f64 y (/.f64 1/2 x)) (/.f64 1 (sin.f64 y)))
(.f64 2 (/.f64 (/.f64 1/2 (sin.f64 y)) (.f64 (/.f64 x y) 2)))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 y (/.f64 1/2 x))))
(.f64 2 (.f64 (/.f64 y x) (/.f64 (/.f64 1/2 (sin.f64 y)) 2)))
(.f64 (.f64 y 4) (*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 1/4 x)))
(.f64 (/.f64 2 (sin.f64 y)) (.f64 1/2 (*.f64 y (/.f64 1/2 x))))
(.f64 (neg.f64 (/.f64 (.f64 y (/.f64 1/2 x)) (sin.f64 y))) -1)
(*.f64 (/.f64 y x) (/.f64 1/2 (sin.f64 y)))
(.f64 (/.f64 1/2 (.f64 (sin.f64 y) x)) y)
(.f64 4 (.f64 (*.f64 y (/.f64 1/2 x)) (/.f64 (/.f64 1/2 (sin.f64 y)) 2)))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) (.f64 (/.f64 x y) 2)) 2)
(.f64 (.f64 1/2 (/.f64 y x)) (/.f64 1 (sin.f64 y)))
(.f64 (/.f64 1/2 (.f64 (sin.f64 y) (+.f64 x x))) (+.f64 y y))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/2 x)) y)
(.f64 (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/4 x)) (+.f64 y y))
(.f64 (.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 y (/.f64 1/2 x))) 2)
(.f64 (.f64 (/.f64 y x) (/.f64 (/.f64 1/2 (sin.f64 y)) 2)) 2)
(.f64 (.f64 1/2 (/.f64 1/2 (*.f64 (sin.f64 y) x))) (+.f64 y y))
(.f64 (.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 1/2 x)) (+.f64 y y))
(.f64 (.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 1/4 x)) (*.f64 y 4))
(.f64 (.f64 1/2 (*.f64 y (/.f64 1/2 x))) (/.f64 2 (sin.f64 y)))
(.f64 (.f64 (*.f64 y (/.f64 1/2 x)) (/.f64 (/.f64 1/2 (sin.f64 y)) 2)) 4)
(pow.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y)) 1)
(neg.f64 (neg.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 x y))) (.f64 1/2 (.f64 (sin.f64 y) (/.f64 x y))))
(-.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(.f64 1/2 (.f64 (sin.f64 y) (*.f64 (/.f64 x y) 2)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 x (.f64 (.f64 1/2 (sin.f64 y)) (.f64 2 (/.f64 1 y))))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1)
(.f64 1 (.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 y (sin.f64 y))))
(.f64 (+.f64 x x) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (.f64 (/.f64 x y) 2) (*.f64 1/2 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 x (+.f64 y y)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 1/2 (/.f64 x y)))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) (/.f64 1/2 y))
(.f64 2 (.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x y))))
(.f64 2 (.f64 (/.f64 x y) (*.f64 1/2 (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) (*.f64 (/.f64 x y) 2)) 1/2)
(.f64 (.f64 (sin.f64 y) x) (/.f64 1 y))
(.f64 (.f64 1/2 (sin.f64 y)) (*.f64 (/.f64 x y) 2))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
(.f64 (/.f64 x (+.f64 y y)) (.f64 (sin.f64 y) 2))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (+.f64 x x)))
(.f64 (.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 1/2 (/.f64 y (sin.f64 y))) (+.f64 x x))
(.f64 (.f64 (.f64 1/2 (sin.f64 y)) (.f64 2 (/.f64 1 y))) x)
(.f64 (.f64 (/.f64 x y) (*.f64 1/2 (sin.f64 y))) 2)
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 x x))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(neg.f64 (/.f64 (/.f64 x (neg.f64 (+.f64 y y))) (/.f64 1/2 (sin.f64 y))))
(+.f64 (/.f64 1/2 (sin.f64 y)) 0)
(+.f64 0 (/.f64 1/2 (sin.f64 y)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 y)))))
(+.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) 2) (/.f64 (/.f64 1/2 (sin.f64 y)) 2))
(-.f64 (/.f64 1/2 (sin.f64 y)) 0)
(-.f64 0 (neg.f64 (/.f64 1/2 (sin.f64 y))))
(*.f64 1/2 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1/2 (sin.f64 y)) 1)
(*.f64 1 (/.f64 1/2 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) 1/2)
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 y)) 2))
(*.f64 (neg.f64 (/.f64 1/2 (sin.f64 y))) -1)
(*.f64 -1 (neg.f64 (/.f64 1/2 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) 2) 2)
(pow.f64 (/.f64 1/2 (sin.f64 y)) 1)
(neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 y))))

Outputs
(/.f64 1/2 x)
(+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 7/720 (/.f64 (pow.f64 y 4) x)) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 7/720 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 7/720 (/.f64 (pow.f64 y 4) x))))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 31/30240 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/720 (/.f64 (pow.f64 y 4) x)) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (.f64 31/30240 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/720 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (+.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 7/720 (/.f64 (pow.f64 y 4) x))) (.f64 31/30240 (/.f64 (pow.f64 y 6) x))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (.f64 7/720 (/.f64 (pow.f64 y 4) x))) (.f64 31/30240 (/.f64 (pow.f64 y 6) x))))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 7/720 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 31/30240 (/.f64 (pow.f64 y 6) x)))))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
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(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 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 (.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 2) (.f64 x -1/6)) (.f64 (pow.f64 y 4) (.f64 x 1/120))))
(+.f64 (+.f64 x (.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 2) (.f64 x -1/6)) (+.f64 (.f64 (pow.f64 y 4) (.f64 x 1/120)) (+.f64 x (.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 (+.f64 x (.f64 (pow.f64 y 4) (.f64 x 1/120))) (.f64 x (+.f64 (.f64 (pow.f64 y 2) -1/6) (*.f64 (pow.f64 y 6) -1/5040))))
(+.f64 (+.f64 x (.f64 (pow.f64 y 4) (.f64 x 1/120))) (.f64 x (+.f64 (.f64 (pow.f64 y 6) -1/5040) (*.f64 (pow.f64 y 2) -1/6))))
(/.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))
(/.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 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (+.f64 (.f64 7/720 (pow.f64 y 3)) (*.f64 1/12 y)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (+.f64 (.f64 1/12 y) (*.f64 7/720 (pow.f64 y 3))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y)) (*.f64 7/720 (pow.f64 y 3)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (+.f64 (.f64 7/720 (pow.f64 y 3)) (+.f64 (.f64 1/12 y) (.f64 31/30240 (pow.f64 y 5)))))
(+.f64 (.f64 1/2 (/.f64 1 y)) (+.f64 (.f64 1/12 y) (+.f64 (.f64 31/30240 (pow.f64 y 5)) (.f64 7/720 (pow.f64 y 3)))))
(+.f64 (.f64 1/2 (/.f64 1 y)) (+.f64 (.f64 1/12 y) (+.f64 (.f64 7/720 (pow.f64 y 3)) (.f64 31/30240 (pow.f64 y 5)))))
(+.f64 (.f64 1/12 y) (+.f64 (.f64 1/2 (/.f64 1 y)) (+.f64 (.f64 7/720 (pow.f64 y 3)) (.f64 31/30240 (pow.f64 y 5)))))
(+.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y)) 0)
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(+.f64 0 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y)))))
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(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(+.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) (.f64 (/.f64 x y) 2)) (/.f64 (/.f64 1/2 (sin.f64 y)) (.f64 (/.f64 x y) 2)))
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(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(-.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y)) 0)
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(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 y (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/2 x)))
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(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
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(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (/.f64 (.f64 y (/.f64 1/2 x)) (sin.f64 y)) 1)
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(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
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(.f64 (/.f64 y (.f64 (sin.f64 y) x)) 1/2)
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(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (/.f64 1 (sin.f64 y)) (.f64 1/2 (/.f64 y x)))
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(.f64 2 (.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 y (/.f64 1/2 x))))
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(.f64 2 (.f64 (/.f64 y x) (/.f64 (/.f64 1/2 (sin.f64 y)) 2)))
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(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (.f64 y 4) (*.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 1/4 x)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (/.f64 2 (sin.f64 y)) (.f64 1/2 (*.f64 y (/.f64 1/2 x))))
(.f64 1/2 (.f64 (*.f64 (/.f64 1/2 x) y) (/.f64 2 (sin.f64 y))))
(.f64 y (.f64 (*.f64 1/2 (/.f64 1/2 x)) (/.f64 2 (sin.f64 y))))
(.f64 (.f64 (/.f64 1/2 x) y) (*.f64 1/2 (/.f64 2 (sin.f64 y))))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 2 (sin.f64 y)) (*.f64 1/2 y)))
(.f64 (neg.f64 (/.f64 (.f64 y (/.f64 1/2 x)) (sin.f64 y))) -1)
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(*.f64 (/.f64 y x) (/.f64 1/2 (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (/.f64 1/2 (.f64 (sin.f64 y) x)) y)
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 4 (.f64 (*.f64 y (/.f64 1/2 x)) (/.f64 (/.f64 1/2 (sin.f64 y)) 2)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) (.f64 (/.f64 x y) 2)) 2)
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (.f64 1/2 (/.f64 y x)) (/.f64 1 (sin.f64 y)))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (/.f64 1/2 (.f64 (sin.f64 y) (+.f64 x x))) (+.f64 y y))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/2 x)) y)
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/4 x)) (+.f64 y y))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 y (/.f64 1/2 x))) 2)
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (.f64 (/.f64 y x) (/.f64 (/.f64 1/2 (sin.f64 y)) 2)) 2)
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (.f64 1/2 (/.f64 1/2 (*.f64 (sin.f64 y) x))) (+.f64 y y))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 1/2 x)) (+.f64 y y))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 1/4 x)) (*.f64 y 4))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (.f64 1/2 (*.f64 y (/.f64 1/2 x))) (/.f64 2 (sin.f64 y)))
(.f64 1/2 (.f64 (*.f64 (/.f64 1/2 x) y) (/.f64 2 (sin.f64 y))))
(.f64 y (.f64 (*.f64 1/2 (/.f64 1/2 x)) (/.f64 2 (sin.f64 y))))
(.f64 (.f64 (/.f64 1/2 x) y) (*.f64 1/2 (/.f64 2 (sin.f64 y))))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 2 (sin.f64 y)) (*.f64 1/2 y)))
(.f64 (.f64 (*.f64 y (/.f64 1/2 x)) (/.f64 (/.f64 1/2 (sin.f64 y)) 2)) 4)
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(pow.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y)) 1)
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (sin.f64 y)))
(neg.f64 (neg.f64 (/.f64 (*.f64 y (/.f64 1/2 x)) (sin.f64 y))))
(.f64 1/2 (/.f64 y (.f64 x (sin.f64 y))))
(*.f64 1/2 (/.f64 (/.f64 y x) (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 1/2 (.f64 (sin.f64 y) (/.f64 x y))) (.f64 1/2 (.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) (/.f64 x y)) 0)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 1/2 (.f64 (sin.f64 y) (*.f64 (/.f64 x y) 2)))
(*.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 x (.f64 (.f64 1/2 (sin.f64 y)) (.f64 2 (/.f64 1 y))))
(*.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 (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 x 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 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 (.f64 (/.f64 x y) 2) (*.f64 1/2 (sin.f64 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 (sin.f64 y) 2) (*.f64 1/2 (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.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 2 (.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 2 (.f64 (/.f64 x y) (*.f64 1/2 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (sin.f64 y) (*.f64 (/.f64 x y) 2)) 1/2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 1/2 (sin.f64 y)) (*.f64 (/.f64 x y) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) 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 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 (.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 y) 2))
(*.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 1/2 (/.f64 y (sin.f64 y))) (+.f64 x x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (.f64 1/2 (sin.f64 y)) (.f64 2 (/.f64 1 y))) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (/.f64 x y) (*.f64 1/2 (sin.f64 y))) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.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))
(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 (/.f64 x (neg.f64 (+.f64 y y))) (/.f64 1/2 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(+.f64 (/.f64 1/2 (sin.f64 y)) 0)
(/.f64 1/2 (sin.f64 y))
(+.f64 0 (/.f64 1/2 (sin.f64 y)))
(/.f64 1/2 (sin.f64 y))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 y)))))
(/.f64 1/2 (sin.f64 y))
(+.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) 2) (/.f64 (/.f64 1/2 (sin.f64 y)) 2))
(/.f64 1/2 (sin.f64 y))
(-.f64 (/.f64 1/2 (sin.f64 y)) 0)
(/.f64 1/2 (sin.f64 y))
(-.f64 0 (neg.f64 (/.f64 1/2 (sin.f64 y))))
(/.f64 1/2 (sin.f64 y))
(*.f64 1/2 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1/2 (sin.f64 y)) 1)
(/.f64 1/2 (sin.f64 y))
(*.f64 1 (/.f64 1/2 (sin.f64 y)))
(/.f64 1/2 (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) 1/2)
(*.f64 1/2 (/.f64 1 (sin.f64 y)))
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 y)) 2))
(/.f64 1/2 (sin.f64 y))
(*.f64 (neg.f64 (/.f64 1/2 (sin.f64 y))) -1)
(/.f64 1/2 (sin.f64 y))
(*.f64 -1 (neg.f64 (/.f64 1/2 (sin.f64 y))))
(/.f64 1/2 (sin.f64 y))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 y)) 2) 2)
(/.f64 1/2 (sin.f64 y))
(pow.f64 (/.f64 1/2 (sin.f64 y)) 1)
(/.f64 1/2 (sin.f64 y))
(neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 y))))
(/.f64 1/2 (sin.f64 y))

eval251.0ms (3%)

Compiler: Compiled 9273 to 5034 computations (45.7% saved)

prune259.0ms (3.1%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	728	5	733
Fresh	2	4	6
Picked	0	1	1
Done	0	5	5
Total	730	15	745

Error

Counts

745 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
▶	7.5b	(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
✓	7.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
	40.3b	(/.f64 (*.f64 y x) y)
▶	7.9b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	7.9b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
▶	32.9b	(/.f64 1 (/.f64 1 x))
✓	8.3b	(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y)))
▶	33.2b	(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 x y)))
	31.5b	(/.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y)) (/.f64 x y)))
✓	7.4b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	24.4b	(.f64 x (.f64 y (/.f64 (sin.f64 y) (/.f64 y (/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y))))))
	32.8b	x

Compiler

Compiled 233 to 156 computations (33% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	7.0b	(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite71.0ms (0.9%)

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 (1.6%)

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))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.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))

rewrite89.0ms (1.1%)

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)))))

simplify56.0ms (0.7%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 x y)))
✓	15.0b	(/.f64 (/.f64 1/2 y) (/.f64 x y))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (/.f64 1/2 y) (/.f64 x y))
0.0ms	x	@	0	(/.f64 (/.f64 1/2 y) (/.f64 x y))
0.0ms	x	@	inf	(/.f64 (/.f64 1/2 y) (/.f64 x y))
0.0ms	x	@	-inf	(/.f64 (/.f64 1/2 y) (/.f64 x y))
0.0ms	y	@	inf	(/.f64 (/.f64 1/2 y) (/.f64 x y))

rewrite115.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`rational.json-1`
1320×	`rational.json-simplify-50`
1086×	`rational.json-2`
1086×	`rational.json-4`
1086×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	74	32
2	292	32
3	1406	8
4	4376	8
5	7963	8

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(/.f64 (/.f64 1/2 y) (/.f64 x y))
(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 x y)))

Outputs

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

simplify112.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-35`
1190×	`rational.json-simplify-2`
1056×	`rational.json-simplify-1`
774×	`rational.json-simplify-54`
726×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	695
1	272	695
2	663	695
3	2158	695
4	4580	695
5	6791	695

Stop Event

1×	node limit

Counts

131 → 92

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.4b	(/.f64 (sin.f64 y) (/.f64 y x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`rational.json-1`
1676×	`rational.json-2`
1676×	`rational.json-4`
1676×	`rational.json-3`
1652×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	62	17
2	202	17
3	632	17
4	2293	17
5	5932	17

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1348×	`rational.json-simplify-35`
1298×	`rational.json-simplify-2`
1084×	`rational.json-simplify-1`
720×	`rational.json-simplify-55`
656×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1359
1	266	1335
2	576	1335
3	1848	1323
4	4377	1323
5	6490	1323

Stop Event

1×	node limit

Counts

71 → 71

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sin.f64 y) y)
✓	0.2b	(/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y))
✓	13.8b	(*.f64 y (/.f64 (sin.f64 y) (/.f64 y (/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y)))))
✓	15.1b	(/.f64 (sin.f64 y) (/.f64 y (/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y))))

Compiler

Compiled 68 to 9 computations (86.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational.json-simplify-50`
1220×	`rational.json-simplify-2`
1218×	`exponential.json-3`
1218×	`rational.json-1`
1218×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	101
1	84	101
2	326	47
3	1600	47
4	4165	47

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

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

simplify98.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1028×	`rational.json-simplify-44`
990×	`rational.json-simplify-61`
986×	`rational.json-simplify-35`
892×	`rational.json-simplify-43`
886×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	1599
1	474	1599
2	1439	1587
3	6426	1577

Stop Event

1×	node limit

Counts

119 → 109

Calls

Call 1

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

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

eval609.0ms (7.3%)

Compiler: Compiled 7504 to 3871 computations (48.4% saved)

prune108.0ms (1.3%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	541	12	553
Fresh	0	4	4
Picked	1	0	1
Done	2	8	10
Total	544	24	568

Error

Counts

568 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
✓	7.5b	(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
▶	33.2b	(/.f64 (/.f64 x y) (/.f64 1 y))
	31.5b	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
✓	7.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
	40.3b	(/.f64 (*.f64 y x) y)
✓	7.9b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	7.9b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
✓	32.9b	(/.f64 1 (/.f64 1 x))
	31.5b	(/.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y)) (/.f64 x y)))
▶	31.5b	(/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1/2 y)))
	40.4b	(/.f64 1/2 (.f64 (/.f64 1/2 (.f64 y x)) y))
	38.1b	(+.f64 -1 (-.f64 1 (neg.f64 x)))
▶	33.1b	(*.f64 (/.f64 x y) y)
	40.3b	(.f64 (/.f64 1 y) (.f64 y x))
	42.1b	(.f64 (/.f64 1 x) (.f64 x x))
	33.2b	(.f64 (.f64 x (/.f64 2 y)) (*.f64 1/2 y))
✓	7.4b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
	24.4b	(.f64 x (.f64 y (/.f64 (sin.f64 y) (*.f64 y y))))
▶	32.9b	(.f64 x (.f64 y (/.f64 1 y)))
	34.2b	(.f64 x (.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))))
	32.8b	x

Compiler

Compiled 382 to 263 computations (31.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
✓	6.7b	(/.f64 (/.f64 y x) (sin.f64 y))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite121.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2172×	`rational.json-1`
1782×	`rational.json-simplify-35`
1004×	`exponential.json-3`
1004×	`rational.json-2`
1004×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	87	34
2	269	34
3	816	34
4	2920	34
5	7694	34

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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

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

simplify125.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

970×	`rational.json-simplify-51`
964×	`rational.json-simplify-44`
902×	`rational.json-simplify-35`
854×	`rational.json-simplify-47`
810×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	272	3365
1	585	3341
2	1379	3341
3	4344	3327
4	6921	3327

Stop Event

1×	node limit

Counts

179 → 175

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.8b	(*.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)

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 141

Calls

Call 1

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

Outputs

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

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

165 → 151

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y (/.f64 1 y))

Compiler

Compiled 20 to 12 computations (40% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite98.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1742×	`rational.json-1`
1742×	`rational.json-2`
1742×	`rational.json-3`
1740×	`rational.json-4`
1190×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	52	7
2	133	7
3	292	1
4	864	1
5	2752	1
6	6417	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.9b	(/.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))

rewrite112.0ms (1.3%)

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)))))

simplify94.0ms (1.1%)

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

localize101.0ms (1.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1/2 y)))
✓	15.9b	(*.f64 (/.f64 y x) (/.f64 1/2 y))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 y x) (/.f64 1/2 y))
0.0ms	y	@	inf	(*.f64 (/.f64 y x) (/.f64 1/2 y))
0.0ms	x	@	-inf	(*.f64 (/.f64 y x) (/.f64 1/2 y))
0.0ms	y	@	-inf	(*.f64 (/.f64 y x) (/.f64 1/2 y))
0.0ms	x	@	inf	(*.f64 (/.f64 y x) (/.f64 1/2 y))

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`rational.json-simplify-35`
1146×	`rational.json-simplify-54`
1078×	`rational.json-simplify-50`
1034×	`exponential.json-3`
1034×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	68	44
2	227	32
3	1001	8
4	3478	8

Stop Event

1×	node limit

Counts

2 → 221

Calls

Call 1

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

Outputs

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

simplify123.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational.json-simplify-2`
1252×	`rational.json-simplify-35`
1120×	`rational.json-simplify-57`
828×	`rational.json-simplify-44`
740×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	417	1277
1	1297	1277
2	5135	1277

Stop Event

1×	node limit

Counts

269 → 222

Calls

Call 1

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

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

eval166.0ms (2%)

Compiler: Compiled 6811 to 4045 computations (40.6% saved)

prune199.0ms (2.4%)

Pruning

32 alts after pruning (19 fresh and 13 done)

	Pruned	Kept	Total
New	616	10	626
Fresh	2	9	11
Picked	0	1	1
Done	0	12	12
Total	618	32	650

Error

Counts

650 → 32

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
	31.5b	(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
✓	7.5b	(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
✓	33.2b	(/.f64 (/.f64 x y) (/.f64 1 y))
	31.5b	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
	40.3b	(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) y))
✓	7.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
	40.3b	(/.f64 (*.f64 y x) y)
✓	7.9b	(/.f64 (sin.f64 y) (/.f64 y x))
	31.8b	(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
	31.5b	(/.f64 y (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	7.9b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
✓	32.9b	(/.f64 1 (/.f64 1 x))
	31.5b	(/.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y)) (/.f64 x y)))
✓	31.5b	(/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1/2 y)))
	40.4b	(/.f64 1/2 (.f64 (/.f64 1/2 (.f64 y x)) y))
	38.1b	(+.f64 (-.f64 x -1) -1)
	33.2b	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 -1 y)))
	38.1b	(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
	33.4b	(.f64 (/.f64 y 4) (.f64 x (/.f64 4 y)))
✓	33.1b	(*.f64 (/.f64 x y) y)
	40.3b	(.f64 (/.f64 1 y) (.f64 y x))
	42.1b	(.f64 (/.f64 1 x) (.f64 x x))
	31.8b	(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
	50.1b	(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
✓	7.4b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
	24.4b	(.f64 x (.f64 y (/.f64 (sin.f64 y) (*.f64 y y))))
✓	32.9b	(.f64 x (.f64 y (/.f64 1 y)))
	34.2b	(.f64 x (.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))))
	32.8b	x

Compiler

Compiled 308 to 208 computations (32.5% saved)

regimes123.0ms (1.5%)

Counts

39 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 x y) y)
(+.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 x (.f64 y (/.f64 1 y)))
(.f64 (/.f64 1 x) (.f64 x x))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 (/.f64 x y) (/.f64 1 y))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 1/2 y))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 y 4) (.f64 x (/.f64 4 y)))
(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
(/.f64 1/2 (.f64 (/.f64 1/2 (.f64 y x)) y))
(/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1/2 y)))
(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 x y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) y))
(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 -1 y)))
(.f64 x (.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y)) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
(.f64 x (.f64 y (/.f64 (sin.f64 y) (*.f64 y y))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 x y)))
(/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) (/.f64 y x)))
(.f64 x (.f64 y (/.f64 (sin.f64 y) (/.f64 y (/.f64 (/.f64 (sin.f64 y) y) (sin.f64 y))))))

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

Calls

4 calls:

64.0ms	(/.f64 (sin.f64 y) y)
18.0ms	x
17.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
17.0ms	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 334 to 169 computations (49.4% saved)

regimes201.0ms (2.4%)

Counts

28 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 x y) y)
(+.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 x (.f64 y (/.f64 1 y)))
(.f64 (/.f64 1 x) (.f64 x x))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 (/.f64 x y) (/.f64 1 y))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 1/2 y))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 y 4) (.f64 x (/.f64 4 y)))
(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
(/.f64 1/2 (.f64 (/.f64 1/2 (.f64 y x)) y))
(/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1/2 y)))
(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 x y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) y))
(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 -1 y)))
(.f64 x (.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y)) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))

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

Calls

4 calls:

100.0ms	x
70.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
13.0ms	y
12.0ms	(/.f64 (sin.f64 y) y)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
0.2b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 238 to 133 computations (44.1% saved)

regimes140.0ms (1.7%)

Counts

26 → 3

Calls

Call 1

Inputs
x
(*.f64 (/.f64 x y) y)
(+.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 x (.f64 y (/.f64 1 y)))
(.f64 (/.f64 1 x) (.f64 x x))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 (/.f64 x y) (/.f64 1 y))
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 1/2 y))
(.f64 (.f64 y y) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 y 4) (.f64 x (/.f64 4 y)))
(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
(/.f64 1/2 (.f64 (/.f64 1/2 (.f64 y x)) y))
(/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1/2 y)))
(/.f64 1/2 (/.f64 (/.f64 1/2 y) (/.f64 x y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) y))
(/.f64 (/.f64 y 1/2) (*.f64 y (/.f64 2 x)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 -1 y)))
(.f64 x (.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y)) (/.f64 x y)))

Outputs
(/.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y)) (/.f64 x y)))
x
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))

Calls

2 calls:

96.0ms	x
38.0ms	y

Results

Error	Segments	Branch
24.3b	3	`x`
24.2b	3	`y`

Compiler

Compiled 212 to 120 computations (43.4% saved)

bsearch116.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	7.010573042852398e-23	6.890351085599908e-18
103.0ms	-169.8820932526244	-2.0719870123285197e-10

Results

112.0ms

256×

body

256

valid

Compiler

Compiled 341 to 257 computations (24.6% saved)

regimes78.0ms (0.9%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	y
36.0ms	x

Results

Error	Segments	Branch
24.3b	3	`x`
24.2b	3	`y`

Compiler

Compiled 197 to 110 computations (44.2% saved)

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	7.010573042852398e-23	6.890351085599908e-18
23.0ms	-169.8820932526244	-2.0719870123285197e-10

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 301 to 217 computations (27.9% saved)

regimes72.0ms (0.9%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	x
34.0ms	y

Results

Error	Segments	Branch
24.4b	3	`x`
24.2b	3	`y`

Compiler

Compiled 186 to 104 computations (44.1% saved)

bsearch24.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	7.010573042852398e-23	6.890351085599908e-18
2.0ms	-1.123549044666053e+25	-14045273908488174000.0

Results

22.0ms

160×

body

256

valid

Compiler

Compiled 173 to 109 computations (37% saved)

regimes54.0ms (0.6%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	y
24.0ms	x

Results

Error	Segments	Branch
24.4b	3	`x`
24.3b	3	`y`

Compiler

Compiled 111 to 61 computations (45% saved)

bsearch94.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	2.5428600716243055e+26	8.439759644303289e+26
83.0ms	-1.123549044666053e+25	-14045273908488174000.0

Results

92.0ms

224×

body

256

valid

Compiler

Compiled 181 to 149 computations (17.7% saved)

regimes20.0ms (0.2%)

Accuracy

Total -14.3b remaining (-55.2%)

Threshold costs -14.3b (-55.2%)

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:

11.0ms	y
8.0ms	x

Results

Error	Segments	Branch
25.9b	3	`x`
25.9b	3	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch75.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.7172958911373717e+67	5.571371958211834e+68
60.0ms	-1.3611114984639949e+76	-9.588910075214426e+64

Results

72.0ms

224×

body

256

valid

Compiler

Compiled 181 to 121 computations (33.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	368

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y -1851167661284901/75557863725914323419136) (/.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y)) (/.f64 x y))) (if (<=.f64 y 7788445287802241/1298074214633706907132624082305024) x (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(if (<=.f64 y -1397820478929415/75557863725914323419136) (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) (if (<=.f64 y 7788445287802241/1298074214633706907132624082305024) x (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(if (<=.f64 y -10000000000000000905969664) (.f64 (/.f64 y (.f64 y (/.f64 y x))) y) (if (<=.f64 y 8826904659509207/1298074214633706907132624082305024) x (.f64 (/.f64 y (.f64 y (/.f64 y x))) y)))
(if (<=.f64 y -68000000000000000000000) (+.f64 (-.f64 x -1) -1) (if (<=.f64 y 274999999999999983038234624) x (+.f64 (-.f64 x -1) -1)))
(if (<=.f64 y -99999999999999999209038626283633850822756121694230455365568299008) (.f64 (/.f64 x y) y) (if (<=.f64 y 17999999999999999389946428785165159322916955435750915675903880069120) x (.f64 (/.f64 x y) y)))
x

Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y -1851167661284901/75557863725914323419136) (/.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/12 y)) (/.f64 x y))) (if (<=.f64 y 7788445287802241/1298074214633706907132624082305024) x (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(if (<=.f64 y -1397820478929415/75557863725914323419136) (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) (if (<=.f64 y 7788445287802241/1298074214633706907132624082305024) x (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(if (<=.f64 y -10000000000000000905969664) (.f64 (/.f64 y (.f64 y (/.f64 y x))) y) (if (<=.f64 y 8826904659509207/1298074214633706907132624082305024) x (.f64 (/.f64 y (.f64 y (/.f64 y x))) y)))
(if (<=.f64 y -68000000000000000000000) (+.f64 (-.f64 x -1) -1) (if (<=.f64 y 274999999999999983038234624) x (+.f64 (-.f64 x -1) -1)))
(if (<=.f64 y -99999999999999999209038626283633850822756121694230455365568299008) (.f64 (/.f64 x y) y) (if (<=.f64 y 17999999999999999389946428785165159322916955435750915675903880069120) x (.f64 (/.f64 x y) y)))
x

Compiler

Compiled 160 to 96 computations (40% saved)

soundness0.0ms (0%)

end188.0ms (2.3%)

Compiler: Compiled 146 to 79 computations (45.9% saved)