Details

analyze67.0ms (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 (16.7%)

Results

706.0ms	6061×	body	256	valid
427.0ms	1362×	body	1024	valid
173.0ms	830×	body	512	valid
2.0ms	3×	body	2048	valid

Bogosity

preprocess122.0ms (1.5%)

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)

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series6.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	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))

rewrite92.0ms (1.2%)

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 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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)))))

simplify103.0ms (1.3%)

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 (0.6%)

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

prune40.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	241	7	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	241	8	249

Error

Counts

249 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.8b	(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
▶	6.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	9.3b	(/.f64 (sin.f64 y) (/.f64 y x))
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	9.1b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	0.2b	(.f64 x (.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 y))) (/.f64 y (sin.f64 y)))))
	31.2b	x

Compiler

Compiled 137 to 85 computations (38% saved)

localize8.0ms (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)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite89.0ms (1.1%)

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))))))))

simplify125.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

107 → 112

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.6b	(*.f64 (sin.f64 y) (/.f64 x y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (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))

rewrite89.0ms (1.1%)

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)))))

simplify120.0ms (1.5%)

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))
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(.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 1 expressions with local error:

New	Error	Program
✓	8.8b	(/.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	x	@	-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))

rewrite84.0ms (1.1%)

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))))))))

simplify106.0ms (1.3%)

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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	6.6b	(/.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	y	@	inf	(*.f64 (sin.f64 y) x)
0.0ms	x	@	inf	(*.f64 (sin.f64 y) x)
0.0ms	x	@	-inf	(*.f64 (sin.f64 y) x)
0.0ms	y	@	0	(*.f64 (sin.f64 y) x)
0.0ms	y	@	0	(/.f64 (*.f64 (sin.f64 y) x) y)

rewrite75.0ms (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)))))))

simplify132.0ms (1.7%)

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))
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(-.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
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(*.f64 y x)
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(*.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))
(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))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (sin.f64 y) (/.f64 1 x))
✓	6.6b	(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`exponential.json-3`
1460×	`rational.json-1`
1460×	`rational.json-2`
1460×	`rational.json-4`
1460×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	88	34
2	290	28
3	1051	28
4	4358	28

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

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

simplify668.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

1554×	`rational.json-simplify-51`
868×	`rational.json-simplify-44`
866×	`rational.json-simplify-54`
838×	`rational.json-simplify-35`
794×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	2957
1	578	2909
2	1399	2891
3	4560	2867

Stop Event

1×	node limit

Counts

179 → 171

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 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 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(+.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 1 (.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 x (.f64 x (/.f64 y (sin.f64 y)))))
(.f64 (.f64 (sin.f64 y) x) (/.f64 1 y))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1)
(.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 x y) 1/2))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 y) (/.f64 x 2)))
(.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 2 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)))
(.f64 2 (/.f64 (sin.f64 y) (.f64 y (/.f64 2 x))))
(.f64 2 (/.f64 x (/.f64 y (.f64 (sin.f64 y) 1/2))))
(.f64 2 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) 2))
(*.f64 (+.f64 x x) (/.f64 (sin.f64 y) (+.f64 y y)))
(*.f64 (+.f64 x x) (/.f64 2 (/.f64 4 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) x)
(.f64 (.f64 x x) (/.f64 1 (*.f64 x (/.f64 y (sin.f64 y)))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 2 (/.f64 y (.f64 (sin.f64 y) 1/2)))))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 4 (/.f64 (sin.f64 y) y))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 (/.f64 2 x) (+.f64 y y))))
(.f64 (.f64 (sin.f64 y) (*.f64 x (/.f64 2 y))) 1/2)
(.f64 (.f64 (sin.f64 y) (.f64 x 4)) (/.f64 1 (.f64 y 4)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 x 2))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
(.f64 -1 (/.f64 (sin.f64 y) (.f64 y (/.f64 -1 x))))
(.f64 -1 (/.f64 (sin.f64 y) (.f64 (/.f64 1 x) (neg.f64 y))))
(*.f64 -1 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)))
(.f64 -1 (/.f64 (.f64 (sin.f64 y) x) (neg.f64 y)))
(*.f64 -1 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 -1 x)))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 y (/.f64 -1 x))))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 (/.f64 1 x) (neg.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) x)))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(*.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 x (/.f64 2 y)) (*.f64 (sin.f64 y) 1/2))
(.f64 1/2 (.f64 (sin.f64 y) (*.f64 x (/.f64 2 y))))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (+.f64 x x)))
(*.f64 (/.f64 2 y) (/.f64 (sin.f64 y) (/.f64 2 x)))
(.f64 (/.f64 x 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 y y)) (+.f64 x x))
(.f64 (.f64 x (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(.f64 (.f64 (/.f64 x y) 1/2) (*.f64 (sin.f64 y) 2))
(.f64 (.f64 (/.f64 1 y) (/.f64 x 2)) (*.f64 (sin.f64 y) 2))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) (+.f64 x x)))
(.f64 (/.f64 (sin.f64 y) (.f64 y (/.f64 -1 x))) -1)
(.f64 (/.f64 (sin.f64 y) (.f64 (/.f64 1 x) (neg.f64 y))) -1)
(*.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)) -1)
(.f64 (/.f64 (.f64 (sin.f64 y) x) (neg.f64 y)) -1)
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 -1 x)) -1)
(*.f64 (/.f64 (sin.f64 y) (/.f64 2 x)) (/.f64 2 y))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (+.f64 y y)) 2)
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 (/.f64 (sin.f64 y) (.f64 y (/.f64 2 x))) 2)
(.f64 (/.f64 x (/.f64 y (.f64 (sin.f64 y) 1/2))) 2)
(.f64 (/.f64 1 (.f64 x (/.f64 y (sin.f64 y)))) (*.f64 x x))
(.f64 (/.f64 x (.f64 x (/.f64 y (sin.f64 y)))) x)
(.f64 (/.f64 1 (.f64 2 (/.f64 y (.f64 (sin.f64 y) 1/2)))) (.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 (/.f64 2 x) (+.f64 y y))) (*.f64 (sin.f64 y) 4))
(.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) 2) 2)
(.f64 (/.f64 1 (.f64 y 4)) (.f64 (sin.f64 y) (.f64 x 4)))
(.f64 (/.f64 1 (.f64 y (/.f64 -1 x))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (neg.f64 y))) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 (neg.f64 y) x)) (neg.f64 (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))))
(neg.f64 (/.f64 (sin.f64 y) (*.f64 y (/.f64 -1 x))))
(neg.f64 (/.f64 (sin.f64 y) (*.f64 (/.f64 1 x) (neg.f64 y))))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 -1 x)))
(+.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 (sin.f64 y) x) 0)
(-.f64 0 (*.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (sin.f64 y) x)
(.f64 1 (.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(*.f64 x (/.f64 x (/.f64 x (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) x) 1)
(.f64 (.f64 (sin.f64 y) 2) (/.f64 x 2))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 x 1/2))
(.f64 (.f64 (sin.f64 y) (+.f64 x x)) 1/2)
(*.f64 2 (/.f64 (sin.f64 y) (/.f64 2 x)))
(.f64 2 (/.f64 (.f64 (sin.f64 y) x) 2))
(*.f64 2 (/.f64 x (/.f64 2 (sin.f64 y))))
(.f64 (+.f64 x x) (.f64 (sin.f64 y) 1/2))
(*.f64 (+.f64 x x) (/.f64 2 (/.f64 4 (sin.f64 y))))
(.f64 (.f64 x x) (/.f64 1 (/.f64 x (sin.f64 y))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 2 (/.f64 2 (sin.f64 y)))))
(.f64 (.f64 x 4) (/.f64 1 (/.f64 4 (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 (/.f64 1 x) 4)))
(.f64 (.f64 (sin.f64 y) (*.f64 x 4)) 1/4)
(.f64 -1 (.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 -1 x)))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) -1)
(.f64 1/2 (.f64 (sin.f64 y) (+.f64 x x)))
(.f64 (/.f64 x 2) (.f64 (sin.f64 y) 2))
(.f64 (.f64 (sin.f64 y) 1/2) (+.f64 x x))
(.f64 (.f64 x 1/2) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (sin.f64 y) (/.f64 2 x)) 2)
(.f64 1/4 (.f64 (sin.f64 y) (*.f64 x 4)))
(.f64 (/.f64 (.f64 (sin.f64 y) x) 2) 2)
(*.f64 (/.f64 x (/.f64 2 (sin.f64 y))) 2)
(.f64 (/.f64 1 (/.f64 x (sin.f64 y))) (.f64 x x))
(*.f64 (/.f64 x (/.f64 x (sin.f64 y))) x)
(.f64 (/.f64 1 (.f64 2 (/.f64 2 (sin.f64 y)))) (*.f64 x 4))
(.f64 (/.f64 1 (/.f64 4 (sin.f64 y))) (.f64 x 4))
(*.f64 (/.f64 2 (/.f64 4 (sin.f64 y))) (+.f64 x x))
(.f64 (/.f64 1 (.f64 (/.f64 1 x) 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 1 (/.f64 -1 x)) (neg.f64 (sin.f64 y)))
(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 (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 -1/6 (.f64 x (pow.f64 y 2))) (+.f64 x (.f64 1/120 (.f64 x (pow.f64 y 4)))))
(+.f64 x (+.f64 (.f64 x (.f64 1/120 (pow.f64 y 4))) (.f64 (pow.f64 y 2) (.f64 x -1/6))))
(+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 2))) (+.f64 x (.f64 1/120 (.f64 x (pow.f64 y 4)))))
(+.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 -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 (pow.f64 y 2) (.f64 x -1/6)) (+.f64 (+.f64 x (.f64 x (.f64 1/120 (pow.f64 y 4)))) (.f64 (pow.f64 y 6) (.f64 x -1/5040))))
(+.f64 (.f64 x (.f64 -1/6 (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 (pow.f64 y 4) (.f64 x 1/120)) (+.f64 x (.f64 x (+.f64 (.f64 -1/5040 (pow.f64 y 6)) (*.f64 -1/6 (pow.f64 y 2))))))
(/.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 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 x y) (.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(+.f64 (.f64 x y) (.f64 (pow.f64 y 3) (*.f64 x -1/6)))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (+.f64 (.f64 x y) (.f64 -1/6 (.f64 x (pow.f64 y 3)))) (.f64 1/120 (*.f64 x (pow.f64 y 5))))
(+.f64 (+.f64 (.f64 x y) (.f64 (pow.f64 y 3) (.f64 x -1/6))) (.f64 (pow.f64 y 5) (*.f64 x 1/120)))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (.f64 x (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 1/120 (.f64 x (pow.f64 y 5))) (+.f64 (.f64 x y) (+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (.f64 -1/5040 (*.f64 x (pow.f64 y 7))))))
(+.f64 (.f64 x y) (+.f64 (.f64 (pow.f64 y 5) (.f64 x 1/120)) (+.f64 (.f64 (pow.f64 y 3) (.f64 x -1/6)) (.f64 (pow.f64 y 7) (*.f64 x -1/5040)))))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (+.f64 (.f64 x (+.f64 y (.f64 -1/5040 (pow.f64 y 7)))) (.f64 x (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/6 (pow.f64 y 3)))) (.f64 x (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 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 (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 1 (.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 x (/.f64 x (.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
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eval228.0ms (2.9%)

Compiler: Compiled 7585 to 3959 computations (47.8% saved)

prune91.0ms (1.1%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	642	2	644
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	643	9	652

Error

Counts

652 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.8b	(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
✓	6.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	37.9b	(/.f64 (*.f64 y x) y)
✓	9.3b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	33.3b	(.f64 (/.f64 2 x) (/.f64 y (.f64 (.f64 2 (/.f64 y x)) (/.f64 y (.f64 x (sin.f64 y))))))
✓	9.1b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	31.2b	x

Compiler

Compiled 80 to 51 computations (36.3% saved)

localize96.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (/.f64 y x)) (/.f64 y (*.f64 x (sin.f64 y))))
✓	6.7b	(/.f64 y (*.f64 x (sin.f64 y)))
✓	9.3b	(/.f64 y (.f64 (.f64 2 (/.f64 y x)) (/.f64 y (*.f64 x (sin.f64 y)))))
✓	22.0b	(.f64 (/.f64 2 x) (/.f64 y (.f64 (.f64 2 (/.f64 y x)) (/.f64 y (.f64 x (sin.f64 y))))))

Compiler

Compiled 72 to 25 computations (65.3% saved)

series101.0ms (1.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
92.0ms	x	@	0	(.f64 (.f64 2 (/.f64 y x)) (/.f64 y (*.f64 x (sin.f64 y))))
1.0ms	y	@	inf	(/.f64 y (.f64 (.f64 2 (/.f64 y x)) (/.f64 y (*.f64 x (sin.f64 y)))))
1.0ms	y	@	-inf	(.f64 (.f64 2 (/.f64 y x)) (/.f64 y (*.f64 x (sin.f64 y))))
1.0ms	y	@	inf	(.f64 (.f64 2 (/.f64 y x)) (/.f64 y (*.f64 x (sin.f64 y))))
1.0ms	y	@	-inf	(/.f64 y (.f64 (.f64 2 (/.f64 y x)) (/.f64 y (*.f64 x (sin.f64 y)))))

rewrite86.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	146
1	113	146
2	332	146
3	1342	122
4	4904	122

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

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

simplify160.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1404×	`rational.json-simplify-49`
1230×	`rational.json-simplify-46`
1116×	`rational.json-simplify-2`
950×	`rational.json-simplify-43`
858×	`rational.json-simplify-54`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	5374
1	761	5368
2	2642	5266
3	6068	5266

Stop Event

1×	node limit

Counts

190 → 173

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 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2)))))
(+.f64 (.f64 -1/10080 (.f64 (pow.f64 y 6) (pow.f64 x 2))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(/.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))
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(+.f64 (.f64 2 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 31/7560 (/.f64 (pow.f64 y 7) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 7/180 (/.f64 (pow.f64 y 5) (pow.f64 x 2))))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
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(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
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(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
(.f64 2 (/.f64 (pow.f64 y 2) (.f64 (sin.f64 y) (pow.f64 x 2))))
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(/.f64 (/.f64 2 x) (.f64 (/.f64 y (.f64 x (sin.f64 y))) (/.f64 2 x)))
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(/.f64 (.f64 (.f64 (sin.f64 y) (.f64 (/.f64 2 x) (/.f64 x (/.f64 y (.f64 x 1/2))))) 4) 4)
(/.f64 (.f64 (/.f64 (/.f64 x (+.f64 y y)) (/.f64 y (.f64 x (sin.f64 y)))) (/.f64 2 x)) (/.f64 1 y))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 (/.f64 2 x) (/.f64 x (/.f64 y (.f64 x 1/2))))) 4) (.f64 (.f64 (sin.f64 y) (.f64 (/.f64 2 x) (/.f64 x (/.f64 y (.f64 x 1/2))))) 4)) 8)
(/.f64 (/.f64 (/.f64 2 x) (/.f64 y (.f64 x 1/2))) (/.f64 (/.f64 y (.f64 x (sin.f64 y))) y))
(/.f64 (/.f64 (/.f64 2 x) (/.f64 y (*.f64 x (sin.f64 y)))) (/.f64 2 x))
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(/.f64 (/.f64 (/.f64 2 x) (/.f64 1 (.f64 x (sin.f64 y)))) (/.f64 y (.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 2 x) (/.f64 1 (sin.f64 y))) (*.f64 (/.f64 y x) (/.f64 2 x)))
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(/.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (.f64 (/.f64 y (.f64 x (sin.f64 y))) (/.f64 2 x))))
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(.f64 y (.f64 (/.f64 x (+.f64 y y)) (*.f64 x (/.f64 (sin.f64 y) y))))
(.f64 (sin.f64 y) (.f64 x (/.f64 x (+.f64 y y))))
(.f64 (sin.f64 y) (/.f64 x (/.f64 y (.f64 x 1/2))))
(.f64 (.f64 x (sin.f64 y)) (/.f64 x (+.f64 y y)))
(.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 x 1/2) (/.f64 1 y)))
(.f64 (.f64 x (.f64 (.f64 x 1/2) (/.f64 (sin.f64 y) y))) 1)
(.f64 1 (.f64 x (.f64 (.f64 x 1/2) (/.f64 (sin.f64 y) y))))
(.f64 (+.f64 y y) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 y x) 4)))
(.f64 (+.f64 y y) (.f64 (/.f64 (/.f64 x (+.f64 y y)) (/.f64 y (*.f64 x (sin.f64 y)))) 1/2))
(.f64 (+.f64 y y) (.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 x y) 4)))
(.f64 (+.f64 x x) (/.f64 (sin.f64 y) (.f64 (/.f64 y x) 4)))
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(.f64 (.f64 x 1/2) (*.f64 x (/.f64 (sin.f64 y) y)))
(.f64 (.f64 2 (sin.f64 y)) (/.f64 x (*.f64 (/.f64 y x) 4)))
(.f64 (/.f64 (/.f64 x (+.f64 y y)) (/.f64 y (.f64 x (sin.f64 y)))) y)
(.f64 (/.f64 x (+.f64 y y)) (.f64 x (sin.f64 y)))
(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (*.f64 x 1/2))
(.f64 (.f64 x (/.f64 x (+.f64 y y))) (sin.f64 y))
(.f64 (/.f64 x (/.f64 y (.f64 x 1/2))) (sin.f64 y))
(.f64 (/.f64 (sin.f64 y) (/.f64 y (.f64 x 1/2))) x)
(.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 y x) 4)) (+.f64 y y))
(.f64 (/.f64 x (.f64 (/.f64 y x) 4)) (*.f64 2 (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) 4)) (+.f64 x x))
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(.f64 (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)) x)
(.f64 (.f64 (.f64 x 1/2) (/.f64 1 y)) (.f64 x (sin.f64 y)))
(.f64 (.f64 (/.f64 (/.f64 x (+.f64 y y)) (/.f64 y (*.f64 x (sin.f64 y)))) 1/2) (+.f64 y y))
(.f64 (.f64 (/.f64 x (+.f64 y y)) (*.f64 x (/.f64 (sin.f64 y) y))) y)
(.f64 (.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 x y) 4)) (+.f64 y y))
(pow.f64 (.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y))) 1)
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(.f64 y (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 x)))
(*.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 (+.f64 y y) (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/2 x)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 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 1/2 (.f64 x (sin.f64 y))) (+.f64 y y))
(.f64 (.f64 (/.f64 1 (*.f64 x (sin.f64 y))) 1/2) (+.f64 y y))
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(.f64 (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/2 x)) (+.f64 y y))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) 1)
(+.f64 (.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 x (sin.f64 y)))) 0)
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(/.f64 (/.f64 y (.f64 x 1/2)) (.f64 x (/.f64 (sin.f64 y) y)))
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(/.f64 (.f64 (/.f64 y x) 4) (.f64 2 (*.f64 x (/.f64 (sin.f64 y) y))))
(/.f64 (neg.f64 (/.f64 y (.f64 x 1/2))) (-.f64 0 (.f64 x (/.f64 (sin.f64 y) y))))
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(/.f64 (.f64 2 (.f64 (/.f64 y (.f64 x 1/2)) (.f64 (/.f64 y (*.f64 x (sin.f64 y))) 4))) 8)
(pow.f64 (.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 x (sin.f64 y)))) 1)

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)
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(/.f64 (*.f64 (sin.f64 y) x) y)
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(/.f64 (*.f64 (sin.f64 y) x) y)
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(*.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)
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(/.f64 (*.f64 (sin.f64 y) x) y)
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(/.f64 (*.f64 (sin.f64 y) x) y)
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(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
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(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (+.f64 x (.f64 1/120 (.f64 x (pow.f64 y 4)))))
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(/.f64 (*.f64 (sin.f64 y) x) y)
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(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
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(*.f64 1/2 (pow.f64 x 2))
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(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (pow.f64 (*.f64 y x) 2)))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 y 2) -1/12)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 2) 1/240))))
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(+.f64 (.f64 -1/12 (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 -1/10080 (.f64 (pow.f64 y 6) (pow.f64 x 2))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2))))))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 y 4) (.f64 (pow.f64 x 2) 1/240)))) (.f64 (pow.f64 y 6) (*.f64 (pow.f64 x 2) -1/10080)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -1/12 (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 x 2) (.f64 1/240 (pow.f64 y 4)))) (.f64 (pow.f64 x 2) (*.f64 -1/10080 (pow.f64 y 6)))))
(+.f64 (.f64 -1/12 (pow.f64 (.f64 y x) 2)) (+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 y 6) -1/10080)) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 y 4) 1/240)))))
(+.f64 (.f64 -1/12 (pow.f64 (.f64 y x) 2)) (+.f64 (.f64 (pow.f64 y 4) (.f64 (pow.f64 x 2) 1/240)) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 y 6) -1/10080)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
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(.f64 1 (.f64 x (.f64 (.f64 x 1/2) (/.f64 (sin.f64 y) y))))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
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(.f64 y (.f64 (sin.f64 y) (/.f64 x (/.f64 (+.f64 y y) (/.f64 x y)))))
(.f64 y (.f64 (sin.f64 y) (/.f64 x (/.f64 y (*.f64 1/2 (/.f64 x y))))))
(/.f64 (.f64 1/2 (/.f64 x y)) (/.f64 (/.f64 y (.f64 y x)) (sin.f64 y)))
(.f64 (+.f64 y y) (.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 x y) 4)))
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(.f64 y (.f64 (.f64 (sin.f64 y) (.f64 (/.f64 x y) 2)) (/.f64 x (*.f64 y 4))))
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(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
(.f64 (sin.f64 y) (.f64 x (*.f64 1/2 (/.f64 x y))))
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(.f64 (.f64 x (.f64 (sin.f64 y) 2)) (/.f64 x (.f64 y 4)))
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(.f64 (.f64 x 1/2) (*.f64 x (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
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(.f64 y (.f64 (sin.f64 y) (/.f64 x (/.f64 (+.f64 y y) (/.f64 x y)))))
(.f64 y (.f64 (sin.f64 y) (/.f64 x (/.f64 y (*.f64 1/2 (/.f64 x y))))))
(/.f64 (.f64 1/2 (/.f64 x y)) (/.f64 (/.f64 y (.f64 y x)) (sin.f64 y)))
(.f64 (/.f64 x (+.f64 y y)) (.f64 x (sin.f64 y)))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
(.f64 (sin.f64 y) (.f64 x (*.f64 1/2 (/.f64 x y))))
(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (*.f64 x 1/2))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
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(.f64 (.f64 x (/.f64 x (+.f64 y y))) (sin.f64 y))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
(.f64 (sin.f64 y) (.f64 x (*.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 x (/.f64 y (.f64 x 1/2))) (sin.f64 y))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
(.f64 (sin.f64 y) (.f64 x (*.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (sin.f64 y) (/.f64 y (.f64 x 1/2))) x)
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
(.f64 (sin.f64 y) (.f64 x (*.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 y x) 4)) (+.f64 y y))
(.f64 (+.f64 y y) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (*.f64 4 (/.f64 y x))))
(.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (/.f64 x 4) (/.f64 y x)) (+.f64 y y)))
(.f64 x (.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 4 (/.f64 y x))) (+.f64 y y)))
(.f64 (/.f64 x (.f64 (/.f64 y x) 4)) (*.f64 2 (sin.f64 y)))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
(.f64 (sin.f64 y) (.f64 x (*.f64 1/2 (/.f64 x y))))
(.f64 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) 4)) (+.f64 x x))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
(.f64 (sin.f64 y) (.f64 x (*.f64 1/2 (/.f64 x y))))
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(.f64 (.f64 x (.f64 (sin.f64 y) 2)) (/.f64 x (.f64 y 4)))
(.f64 x (.f64 (.f64 (sin.f64 y) 2) (/.f64 x (.f64 y 4))))
(.f64 (sin.f64 y) (.f64 (+.f64 x x) (/.f64 x (*.f64 y 4))))
(.f64 (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)) x)
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
(.f64 (sin.f64 y) (.f64 x (*.f64 1/2 (/.f64 x y))))
(.f64 (.f64 (.f64 x 1/2) (/.f64 1 y)) (.f64 x (sin.f64 y)))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
(.f64 (sin.f64 y) (.f64 x (*.f64 1/2 (/.f64 x y))))
(.f64 (.f64 (/.f64 (/.f64 x (+.f64 y y)) (/.f64 y (*.f64 x (sin.f64 y)))) 1/2) (+.f64 y y))
(.f64 y (/.f64 x (.f64 (+.f64 y y) (/.f64 y (*.f64 (sin.f64 y) x)))))
(.f64 y (.f64 (sin.f64 y) (/.f64 x (/.f64 (+.f64 y y) (/.f64 x y)))))
(.f64 y (.f64 (sin.f64 y) (/.f64 x (/.f64 y (*.f64 1/2 (/.f64 x y))))))
(/.f64 (.f64 1/2 (/.f64 x y)) (/.f64 (/.f64 y (.f64 y x)) (sin.f64 y)))
(.f64 (.f64 (/.f64 x (+.f64 y y)) (*.f64 x (/.f64 (sin.f64 y) y))) y)
(.f64 y (/.f64 x (.f64 (+.f64 y y) (/.f64 y (*.f64 (sin.f64 y) x)))))
(.f64 y (.f64 (sin.f64 y) (/.f64 x (/.f64 (+.f64 y y) (/.f64 x y)))))
(.f64 y (.f64 (sin.f64 y) (/.f64 x (/.f64 y (*.f64 1/2 (/.f64 x y))))))
(/.f64 (.f64 1/2 (/.f64 x y)) (/.f64 (/.f64 y (.f64 y x)) (sin.f64 y)))
(.f64 (.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 x y) 4)) (+.f64 y y))
(.f64 (+.f64 y y) (.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 x (.f64 y 4))))
(.f64 y (.f64 (.f64 (sin.f64 y) (.f64 (/.f64 x y) 2)) (/.f64 x (*.f64 y 4))))
(pow.f64 (.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y))) 1)
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 (sin.f64 y) y)))
(.f64 x (.f64 x (*.f64 (/.f64 (sin.f64 y) y) 1/2)))
(.f64 (sin.f64 y) (.f64 x (*.f64 1/2 (/.f64 x y))))
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(+.f64 0 (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(-.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 y (/.f64 1 (.f64 x (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 y (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 x)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(*.f64 (/.f64 y x) (/.f64 1 (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 (/.f64 y (.f64 x (sin.f64 y))) 1)
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 1 (/.f64 y (.f64 x (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 (+.f64 y y) (/.f64 1/2 (.f64 x (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (*.f64 x (sin.f64 y))) 1/2))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/2 x)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 (/.f64 1 (.f64 x (sin.f64 y))) y)
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(*.f64 (/.f64 1 x) (/.f64 y (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 (/.f64 1/2 (.f64 x (sin.f64 y))) (+.f64 y y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 (.f64 (/.f64 1 (*.f64 x (sin.f64 y))) 1/2) (+.f64 y y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 x)) y)
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) (/.f64 1/2 x)) (+.f64 y y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) 1)
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 y x) (sin.f64 y))
(+.f64 (.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 x (sin.f64 y)))) 0)
(.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 (sin.f64 y) x)))
(.f64 y (/.f64 (.f64 2 (/.f64 (/.f64 y x) (sin.f64 y))) x))
(.f64 y (.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (sin.f64 y))))
(+.f64 0 (.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 x (sin.f64 y)))))
(.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 (sin.f64 y) x)))
(.f64 y (/.f64 (.f64 2 (/.f64 (/.f64 y x) (sin.f64 y))) x))
(.f64 y (.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (sin.f64 y))))
(+.f64 (.f64 y (/.f64 (/.f64 y x) (.f64 x (sin.f64 y)))) (.f64 y (/.f64 (/.f64 y x) (.f64 x (sin.f64 y)))))
(.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 (sin.f64 y) x)))
(.f64 y (/.f64 (.f64 2 (/.f64 (/.f64 y x) (sin.f64 y))) x))
(.f64 y (.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (sin.f64 y))))
(-.f64 (.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 x (sin.f64 y)))) 0)
(.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 (sin.f64 y) x)))
(.f64 y (/.f64 (.f64 2 (/.f64 (/.f64 y x) (sin.f64 y))) x))
(.f64 y (.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (sin.f64 y))))
(/.f64 (/.f64 y (.f64 x 1/2)) (.f64 x (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 (/.f64 y (*.f64 x 1/2)) x) (/.f64 (sin.f64 y) y))
(.f64 2 (/.f64 (/.f64 y x) (.f64 (sin.f64 y) (/.f64 x y))))
(/.f64 (/.f64 y (*.f64 x 1/2)) (/.f64 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y))) 2))
(/.f64 (/.f64 (/.f64 y (*.f64 x 1/2)) x) (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 y (.f64 x 1/2)) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 2 (/.f64 (/.f64 y x) (.f64 (sin.f64 y) (/.f64 x y))))
(/.f64 (.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 x (sin.f64 y)))) 1)
(.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 (sin.f64 y) x)))
(.f64 y (/.f64 (.f64 2 (/.f64 (/.f64 y x) (sin.f64 y))) x))
(.f64 y (.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (sin.f64 y))))
(/.f64 (.f64 (/.f64 y x) (.f64 (/.f64 y (*.f64 x (sin.f64 y))) 4)) 2)
(.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 (sin.f64 y) x)))
(.f64 y (/.f64 (.f64 2 (/.f64 (/.f64 y x) (sin.f64 y))) x))
(.f64 y (.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (sin.f64 y))))
(/.f64 (.f64 2 (/.f64 y (.f64 x (sin.f64 y)))) (/.f64 x y))
(/.f64 (/.f64 (/.f64 y (*.f64 x 1/2)) x) (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 y (.f64 x 1/2)) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 2 (/.f64 (/.f64 y x) (.f64 (sin.f64 y) (/.f64 x y))))
(/.f64 (.f64 (/.f64 y (.f64 x 1/2)) (.f64 (/.f64 y (.f64 x (sin.f64 y))) 4)) 4)
(.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 (sin.f64 y) x)))
(.f64 y (/.f64 (.f64 2 (/.f64 (/.f64 y x) (sin.f64 y))) x))
(.f64 y (.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (sin.f64 y))))
(/.f64 (.f64 (/.f64 y x) 4) (.f64 2 (*.f64 x (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 (/.f64 y (*.f64 x 1/2)) x) (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 y (.f64 x 1/2)) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 2 (/.f64 (/.f64 y x) (.f64 (sin.f64 y) (/.f64 x y))))
(/.f64 (neg.f64 (/.f64 y (.f64 x 1/2))) (-.f64 0 (.f64 x (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 (/.f64 y (*.f64 x 1/2)) x) (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 y (.f64 x 1/2)) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 2 (/.f64 (/.f64 y x) (.f64 (sin.f64 y) (/.f64 x y))))
(/.f64 (*.f64 (/.f64 y x) (/.f64 2 x)) (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (/.f64 y (*.f64 x 1/2)) x) (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 y (.f64 x 1/2)) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 2 (/.f64 (/.f64 y x) (.f64 (sin.f64 y) (/.f64 x y))))
(/.f64 (.f64 (/.f64 y (.f64 x (sin.f64 y))) (/.f64 2 x)) (/.f64 1 y))
(/.f64 (/.f64 (/.f64 y (*.f64 x 1/2)) x) (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 y (.f64 x 1/2)) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 2 (/.f64 (/.f64 y x) (.f64 (sin.f64 y) (/.f64 x y))))
(/.f64 (.f64 2 (.f64 (/.f64 y (.f64 x 1/2)) (.f64 (/.f64 y (*.f64 x (sin.f64 y))) 4))) 8)
(.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 (sin.f64 y) x)))
(.f64 y (/.f64 (.f64 2 (/.f64 (/.f64 y x) (sin.f64 y))) x))
(.f64 y (.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (sin.f64 y))))
(pow.f64 (.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 x (sin.f64 y)))) 1)
(.f64 (/.f64 y (.f64 x 1/2)) (/.f64 y (*.f64 (sin.f64 y) x)))
(.f64 y (/.f64 (.f64 2 (/.f64 (/.f64 y x) (sin.f64 y))) x))
(.f64 y (.f64 (/.f64 y x) (/.f64 (/.f64 2 x) (sin.f64 y))))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.5b	(/.f64 (*.f64 y x) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 280

Calls

Call 1

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

Outputs

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

simplify133.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

304 → 454

Calls

Call 1

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

eval256.0ms (3.2%)

Compiler: Compiled 9393 to 5166 computations (45% saved)

prune290.0ms (3.7%)

Pruning

38 alts after pruning (31 fresh and 7 done)

	Pruned	Kept	Total
New	597	30	627
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	598	38	636

Error

Counts

636 → 38

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.8b	(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
	38.0b	(/.f64 (/.f64 x (/.f64 -1 y)) (neg.f64 y))
	49.4b	(/.f64 (/.f64 x y) (.f64 y (/.f64 1 (.f64 y y))))
	38.5b	(/.f64 (/.f64 2 (/.f64 (/.f64 2 x) y)) y)
	38.4b	(/.f64 (/.f64 2 y) (/.f64 (/.f64 2 y) x))
✓	6.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	37.9b	(/.f64 (*.f64 y x) y)
	51.7b	(/.f64 (*.f64 x (/.f64 y (/.f64 1/2 y))) (/.f64 y (/.f64 1/2 y)))
✓	9.3b	(/.f64 (sin.f64 y) (/.f64 y x))
▶	17.5b	(/.f64 y (/.f64 y (*.f64 (sin.f64 y) (/.f64 x y))))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	36.8b	(+.f64 -1 (-.f64 1 (/.f64 (*.f64 y x) (neg.f64 y))))
	51.3b	(.f64 (/.f64 (/.f64 (neg.f64 y) 2) (/.f64 2 y)) (.f64 (*.f64 x (/.f64 2 y)) (/.f64 2 (neg.f64 y))))
▶	31.3b	(*.f64 (/.f64 (/.f64 1 (/.f64 1 y)) y) x)
▶	50.7b	(.f64 (/.f64 (/.f64 1 y) y) (/.f64 y (/.f64 1 (.f64 y x))))
▶	32.8b	(.f64 (/.f64 (.f64 y -2) (/.f64 -1 (/.f64 x y))) 1/2)
	32.4b	(.f64 (/.f64 (.f64 y -2) y) (/.f64 (neg.f64 y) (*.f64 y (/.f64 2 x))))
	45.1b	(.f64 (/.f64 y (/.f64 (/.f64 1 x) x)) (/.f64 1 (.f64 y x)))
	38.0b	(*.f64 (/.f64 y (/.f64 2 x)) (/.f64 2 y))
	51.7b	(.f64 (/.f64 y (/.f64 1/2 y)) (.f64 x (/.f64 1/2 (*.f64 y y))))
	39.1b	(.f64 (/.f64 y (.f64 (/.f64 1 y) (*.f64 y (/.f64 2 x)))) (/.f64 2 y))
	51.4b	(.f64 (/.f64 x (.f64 y y)) (/.f64 y (/.f64 1 y)))
	33.3b	(.f64 (/.f64 x (.f64 y 4)) (*.f64 y 4))
▶	33.3b	(*.f64 (/.f64 x y) y)
	38.6b	(.f64 (/.f64 2 y) (/.f64 y (.f64 y (*.f64 (/.f64 2 x) (/.f64 1 y)))))
	49.9b	(.f64 (/.f64 1 y) (/.f64 (/.f64 y (/.f64 1/2 y)) (.f64 y (/.f64 2 x))))
	38.0b	(.f64 (/.f64 1 y) (.f64 y x))
	49.8b	(*.f64 (/.f64 -1 y) (/.f64 (/.f64 (/.f64 y (/.f64 -1/2 y)) y) (/.f64 2 x)))
	45.0b	(.f64 (+.f64 y y) (.f64 (/.f64 1/2 (.f64 y y)) (.f64 x y)))
	44.7b	(.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (*.f64 y -4))
✓	9.1b	(*.f64 (sin.f64 y) (/.f64 x y))
	44.7b	(.f64 (neg.f64 y) (/.f64 (.f64 x y) (*.f64 (neg.f64 y) y)))
	33.4b	(.f64 y (.f64 (neg.f64 x) (/.f64 -1 y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	31.2b	(.f64 x (.f64 (*.f64 y 4) (/.f64 1/4 y)))
	33.4b	(.f64 2 (/.f64 (/.f64 (neg.f64 x) (.f64 y -2)) (/.f64 1 y)))
	32.3b	(*.f64 2 (/.f64 (/.f64 y (/.f64 y (neg.f64 x))) -2))
	31.2b	x

Compiler

Compiled 858 to 586 computations (31.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (*.f64 (sin.f64 y) (/.f64 x y)))
	8.6b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	16.5b	(/.f64 y (/.f64 y (*.f64 (sin.f64 y) (/.f64 x y))))

Compiler

Compiled 33 to 7 computations (78.8% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`rational.json-simplify-2`
1252×	`exponential.json-3`
1252×	`rational.json-1`
1252×	`rational.json-2`
1252×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	78	40
2	265	40
3	1218	40
4	3930	40

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

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

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

simplify171.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational.json-simplify-35`
1226×	`rational.json-simplify-51`
890×	`rational.json-simplify-2`
880×	`rational.json-simplify-1`
854×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	307	4545
1	677	4477
2	1745	4441
3	3937	4421
4	6692	4421

Stop Event

1×	node limit

Counts

197 → 204

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.8b	(*.f64 (/.f64 x y) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite110.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 141

Calls

Call 1

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

Outputs

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(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)))))

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

165 → 151

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 20 computations (31% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite179.0ms (2.3%)

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 y))

Outputs

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

simplify58.0ms (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
y
y
y
y
y
y
y
y
y
y
y
y
(+.f64 y 0)
(+.f64 y (/.f64 0 (/.f64 1 (*.f64 y y))))
(+.f64 y (/.f64 0 (*.f64 y y)))
(+.f64 0 y)
(+.f64 -1 (-.f64 1 (neg.f64 y)))
(+.f64 (/.f64 1 (/.f64 2 y)) (/.f64 1 (/.f64 2 y)))
(+.f64 (/.f64 (.f64 y y) (+.f64 y y)) (/.f64 (.f64 y y) (+.f64 y y)))
(-.f64 y 0)
(-.f64 0 (neg.f64 y))
(*.f64 1 y)
(*.f64 y 1)
(*.f64 y (/.f64 y y))
(.f64 (/.f64 1 y) (.f64 y y))
(*.f64 2 (/.f64 y 2))
(.f64 2 (/.f64 (/.f64 1 y) (/.f64 2 (.f64 y y))))
(*.f64 (+.f64 y y) 1/2)
(.f64 (/.f64 2 y) (/.f64 1 (/.f64 2 (.f64 y y))))
(.f64 (/.f64 1 (.f64 y y)) (/.f64 y (/.f64 1 (*.f64 y y))))
(.f64 (.f64 y y) (/.f64 1 y))
(.f64 (.f64 y 4) 1/4)
(*.f64 -1 (neg.f64 y))
(*.f64 (neg.f64 y) -1)
(.f64 (/.f64 2 (.f64 y y)) (/.f64 y (/.f64 2 (*.f64 y y))))
(.f64 (.f64 y (+.f64 y y)) (/.f64 (/.f64 1 y) 2))
(*.f64 1/2 (+.f64 y y))
(*.f64 (/.f64 y y) y)
(.f64 (/.f64 y (/.f64 1 (.f64 y y))) (/.f64 1 (*.f64 y y)))
(.f64 1/4 (.f64 y 4))
(.f64 (/.f64 1 (/.f64 2 (.f64 y y))) (/.f64 2 y))
(*.f64 (/.f64 y 2) 2)
(.f64 (/.f64 (/.f64 1 y) 2) (.f64 y (+.f64 y y)))
(.f64 (/.f64 y (/.f64 2 (.f64 y y))) (/.f64 2 (*.f64 y y)))
(.f64 (/.f64 (/.f64 1 y) (/.f64 2 (.f64 y y))) 2)
(pow.f64 y 1)
(neg.f64 (neg.f64 y))
(neg.f64 (/.f64 (neg.f64 (/.f64 1 y)) (/.f64 1 (*.f64 y y))))

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 -1 (/.f64 x y))
✓	16.2b	(/.f64 (*.f64 y -2) (/.f64 -1 (/.f64 x y)))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational.json-simplify-50`
1116×	`exponential.json-3`
1116×	`rational.json-1`
1116×	`rational.json-2`
1116×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	82	30
2	287	22
3	1178	18
4	4107	18

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

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

simplify149.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1004×	`rational.json-simplify-43`
920×	`rational.json-simplify-1`
918×	`rational.json-simplify-53`
794×	`rational.json-simplify-55`
750×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	1209
1	430	1209
2	959	1209
3	3505	1209
4	5861	1209
5	7461	1209

Stop Event

1×	node limit

Counts

147 → 100

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 y) y)
✓	0.2b	(/.f64 y (/.f64 1 (*.f64 y x)))
✓	0.4b	(/.f64 1 (*.f64 y x))
✓	39.5b	(.f64 (/.f64 (/.f64 1 y) y) (/.f64 y (/.f64 1 (.f64 y x))))

Compiler

Compiled 41 to 21 computations (48.8% saved)

series3.0ms (0%)

Counts

4 → 60

Calls

21 calls:

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

rewrite101.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`exponential.json-3`
1670×	`rational.json-1`
1670×	`rational.json-2`
1670×	`rational.json-4`
1670×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	82
1	93	76
2	282	58
3	1173	52
4	4629	52

Stop Event

1×	node limit

Counts

4 → 290

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (/.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 1 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 y) y) (/.f64 (/.f64 1 y) (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 y) y) (/.f64 x (.f64 (.f64 y x) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 y) y) (/.f64 (/.f64 y (.f64 y x)) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 y) y) (/.f64 (/.f64 (.f64 (/.f64 1 y) 4) x) (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 y) y) (/.f64 (/.f64 (neg.f64 (/.f64 1 y)) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y x) (.f64 y (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (.f64 y x)) (/.f64 y (.f64 (.f64 y x) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 y x)) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 2 (/.f64 y (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 y (.f64 y x)) (/.f64 y (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 x x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 x x)) (.f64 y (.f64 2 (/.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 x x)) (+.f64 (.f64 y (/.f64 y y)) (.f64 y (/.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 y) 2) (.f64 (/.f64 1 y) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 y) 2) (/.f64 (/.f64 2 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (.f64 y (.f64 y (/.f64 (/.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (.f64 2 (.f64 (/.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (+.f64 (.f64 (/.f64 1 x) y) (.f64 (/.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (/.f64 y y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (.f64 2 (/.f64 y (.f64 y x))) (.f64 2 (/.f64 y (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 4) (.f64 2 (.f64 2 (.f64 (/.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 4) (+.f64 (.f64 y (.f64 y (/.f64 (/.f64 2 x) y))) (.f64 y (.f64 y (/.f64 (/.f64 2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y 4) (+.f64 (.f64 2 (.f64 (/.f64 1 x) y)) (.f64 2 (.f64 (/.f64 1 x) y))))))) 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simplify121.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1814×	`rational.json-simplify-35`
1190×	`rational.json-simplify-44`
1064×	`rational.json-simplify-47`
1010×	`rational.json-simplify-61`
852×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	4560
1	1860	3992

Stop Event

1×	node limit

Counts

350 → 377

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

eval221.0ms (2.8%)

Compiler: Compiled 14447 to 7653 computations (47% saved)

prune284.0ms (3.6%)

Pruning

60 alts after pruning (49 fresh and 11 done)

	Pruned	Kept	Total
New	1004	32	1036
Fresh	9	17	26
Picked	0	1	1
Done	1	10	11
Total	1014	60	1074

Error

Counts

1074 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	53.1b	(/.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) y) (/.f64 (/.f64 y x) x))
	44.3b	(/.f64 (/.f64 (/.f64 (.f64 y 4) (.f64 y y)) 2) (*.f64 (/.f64 1 y) (/.f64 2 x)))
	52.1b	(/.f64 (/.f64 (/.f64 y x) (/.f64 1 y)) (*.f64 (/.f64 y x) (/.f64 y x)))
	44.8b	(/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y)) (/.f64 1 y))
	33.4b	(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 y))
	31.3b	(/.f64 (/.f64 (/.f64 -2 (/.f64 -1 y)) y) (/.f64 2 x))
✓	6.8b	(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
	38.0b	(/.f64 (/.f64 y (/.f64 1/2 x)) (+.f64 y y))
	38.0b	(/.f64 (/.f64 x (/.f64 -1 y)) (neg.f64 y))
	51.4b	(/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 1 y) y))
	33.4b	(/.f64 (/.f64 x y) (/.f64 1 y))
	49.4b	(/.f64 (/.f64 x y) (.f64 y (/.f64 1 (.f64 y y))))
	38.5b	(/.f64 (/.f64 2 (/.f64 (/.f64 2 x) y)) y)
	38.4b	(/.f64 (/.f64 2 y) (/.f64 (/.f64 2 y) x))
	38.4b	(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) x))
	46.2b	(/.f64 (.f64 (.f64 (/.f64 1 y) 4) (.f64 y (.f64 y x))) (*.f64 y 4))
✓	6.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
	52.3b	(/.f64 (.f64 y (/.f64 2 x)) (.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 2 y)))
	49.9b	(/.f64 (.f64 y (.f64 y x)) (*.f64 y y))
✓	37.9b	(/.f64 (*.f64 y x) y)
	52.1b	(/.f64 (.f64 2 (/.f64 (/.f64 y x) (/.f64 1 y))) (.f64 (/.f64 y x) (*.f64 y (/.f64 2 x))))
✓	9.3b	(/.f64 (sin.f64 y) (/.f64 y x))
	32.8b	(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 x y)))
✓	17.5b	(/.f64 y (/.f64 y (*.f64 (sin.f64 y) (/.f64 x y))))
	32.3b	(/.f64 y (/.f64 y x))
	32.4b	(/.f64 y (*.f64 (/.f64 1 x) y))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	38.0b	(/.f64 1 (/.f64 y (*.f64 y x)))
	31.2b	(/.f64 1/2 (/.f64 1/2 x))
	36.6b	(+.f64 (-.f64 x -1) -1)
	51.3b	(.f64 (/.f64 (/.f64 (neg.f64 y) 2) (/.f64 2 y)) (.f64 (*.f64 x (/.f64 2 y)) (/.f64 2 (neg.f64 y))))
✓	31.3b	(*.f64 (/.f64 (/.f64 1 (/.f64 1 y)) y) x)
✓	50.7b	(.f64 (/.f64 (/.f64 1 y) y) (/.f64 y (/.f64 1 (.f64 y x))))
	52.2b	(.f64 (/.f64 (/.f64 1 y) y) (/.f64 y (.f64 (/.f64 1 (*.f64 y y)) (/.f64 y x))))
	50.7b	(.f64 (/.f64 (/.f64 1 y) y) (/.f64 y (.f64 (/.f64 1 y) (.f64 (/.f64 1 (.f64 y x)) y))))
	53.2b	(.f64 (/.f64 (/.f64 1 y) y) (/.f64 y (.f64 y (.f64 (+.f64 x x) (/.f64 (/.f64 1/2 y) (.f64 x (*.f64 x y)))))))
	53.2b	(.f64 (/.f64 (/.f64 1 y) y) (/.f64 y (.f64 y (.f64 x (/.f64 1 (.f64 y (.f64 x (.f64 x y))))))))
	52.5b	(.f64 (/.f64 (/.f64 1 y) y) (/.f64 y (.f64 x (/.f64 1 (.f64 x (.f64 x y))))))
	50.7b	(.f64 (/.f64 (/.f64 1 y) y) (.f64 (*.f64 y x) y))
	52.3b	(.f64 (/.f64 (/.f64 1 y) y) (.f64 y (.f64 (.f64 x (*.f64 x y)) (/.f64 1 x))))
	60.4b	(*.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 y))) y) x)
	48.7b	(.f64 (/.f64 (.f64 y -2) (+.f64 -1 (-.f64 1 (/.f64 y x)))) 1/2)
	45.1b	(.f64 (/.f64 y (/.f64 (/.f64 1 x) x)) (/.f64 1 (.f64 y x)))
	51.7b	(.f64 (/.f64 y (/.f64 1/2 y)) (.f64 x (/.f64 1/2 (*.f64 y y))))
	51.4b	(.f64 (/.f64 x (.f64 y y)) (/.f64 y (/.f64 1 y)))
✓	33.3b	(*.f64 (/.f64 x y) y)
	38.6b	(.f64 (/.f64 2 y) (/.f64 y (.f64 y (*.f64 (/.f64 2 x) (/.f64 1 y)))))
	49.9b	(.f64 (/.f64 1 y) (/.f64 (/.f64 y (/.f64 1/2 y)) (.f64 y (/.f64 2 x))))
	38.0b	(.f64 (/.f64 1 y) (.f64 y x))
	49.8b	(*.f64 (/.f64 -1 y) (/.f64 (/.f64 (/.f64 y (/.f64 -1/2 y)) y) (/.f64 2 x)))
	45.0b	(.f64 (+.f64 y y) (.f64 (/.f64 1/2 (.f64 y y)) (.f64 x y)))
	36.6b	(.f64 (+.f64 -1 (-.f64 1 (.f64 -2 x))) 1/2)
	32.8b	(.f64 (.f64 (/.f64 -1/2 (/.f64 y x)) (*.f64 y -4)) 1/2)
	53.6b	(.f64 (.f64 y (/.f64 1 (.f64 y (.f64 y y)))) (/.f64 y (/.f64 1 (*.f64 y x))))
✓	9.1b	(*.f64 (sin.f64 y) (/.f64 x y))
	44.7b	(.f64 (neg.f64 y) (/.f64 (.f64 x y) (*.f64 (neg.f64 y) y)))
	33.4b	(.f64 y (.f64 (neg.f64 x) (/.f64 -1 y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	31.2b	(.f64 x (.f64 (*.f64 y 4) (/.f64 1/4 y)))
	31.2b	x

Compiler

Compiled 787 to 521 computations (33.8% saved)

regimes149.0ms (1.9%)

Counts

72 → 1

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	y
32.0ms	x
30.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
27.0ms	(/.f64 (sin.f64 y) y)

Results

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

Compiler

Compiled 842 to 449 computations (46.7% saved)

regimes129.0ms (1.6%)

Counts

65 → 1

Calls

Call 1

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

32.0ms	y
30.0ms	x
27.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
24.0ms	(/.f64 (sin.f64 y) y)

Results

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

Compiler

Compiled 769 to 422 computations (45.1% saved)

regimes176.0ms (2.2%)

Counts

63 → 3

Calls

Call 1

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

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

Calls

2 calls:

83.0ms	y
76.0ms	x

Results

Error	Segments	Branch
23.7b	3	`x`
23.4b	3	`y`

Compiler

Compiled 743 to 409 computations (45% saved)

bsearch50.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	4.167604207194761e-11	0.00020434875564307782
29.0ms	-7.214201123462053e+110	-1.6141998316269398e+107

Results

27.0ms	118×	body	512	valid
19.0ms	154×	body	256	valid

Compiler

Compiled 353 to 247 computations (30% saved)

regimes117.0ms (1.5%)

Counts

43 → 3

Calls

Call 1

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

Outputs
(.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (*.f64 y -4))
x
(.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (*.f64 y -4))

Calls

2 calls:

55.0ms	x
52.0ms	y

Results

Error	Segments	Branch
23.7b	3	`x`
23.4b	3	`y`

Compiler

Compiled 408 to 231 computations (43.4% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	0.00020434875564307782	1515.6291272623873
28.0ms	-7.214201123462053e+110	-1.6141998316269398e+107

Results

25.0ms	115×	body	512	valid
4.0ms	29×	body	256	valid

Compiler

Compiled 193 to 135 computations (30.1% saved)

regimes96.0ms (1.2%)

Counts

36 → 3

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	y
44.0ms	x

Results

Error	Segments	Branch
23.7b	3	`x`
23.6b	3	`y`

Compiler

Compiled 317 to 181 computations (42.9% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	1515.6291272623873	2263.1881450537903
20.0ms	-0.0013111332517392943	-1.5089790158579111e-9

Results

26.0ms

208×

body

256

valid

Compiler

Compiled 239 to 191 computations (20.1% saved)

regimes75.0ms (0.9%)

Counts

27 → 3

Calls

Call 1

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

Outputs
(/.f64 y (/.f64 y x))
x
(.f64 (+.f64 -1 (-.f64 1 (.f64 -2 x))) 1/2)

Calls

2 calls:

35.0ms	y
35.0ms	x

Results

Error	Segments	Branch
23.7b	3	`x`
23.6b	3	`y`

Compiler

Compiled 217 to 125 computations (42.4% saved)

bsearch16.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	1515.6291272623873	2263.1881450537903
7.0ms	-7.214201123462053e+110	-1.6141998316269398e+107

Results

8.0ms	65×	body	256	valid
6.0ms	31×	body	512	valid

Compiler

Compiled 101 to 81 computations (19.8% saved)

regimes45.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	y
21.0ms	x

Results

Error	Segments	Branch
23.7b	3	`x`
23.6b	3	`y`

Compiler

Compiled 95 to 52 computations (45.3% saved)

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	1515.6291272623873	2263.1881450537903
30.0ms	-7.214201123462053e+110	-1.6141998316269398e+107

Results

27.0ms	110×	body	512	valid
10.0ms	82×	body	256	valid

Compiler

Compiled 157 to 113 computations (28% saved)

regimes22.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	y
11.0ms	x

Results

Error	Segments	Branch
24.3b	3	`x`
23.7b	3	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	1515.6291272623873	2263.1881450537903
16.0ms	-1.345045674838012e+69	-3.747984318746499e+67

Results

23.0ms

176×

body

256

valid

Compiler

Compiled 145 to 119 computations (17.9% saved)

regimes17.0ms (0.2%)

Accuracy

Total -15.9b remaining (-65.4%)

Threshold costs -15.9b (-65.4%)

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:

9.0ms	x
8.0ms	y

Results

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch9.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	0.00020434875564307782	1515.6291272623873
7.0ms	-7.214201123462053e+110	-1.6141998316269398e+107

Results

6.0ms	29×	body	512	valid
2.0ms	19×	body	256	valid

Compiler

Compiled 49 to 33 computations (32.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	488

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 -165000000000000016039457831478034819860197753408644362456234243517843023091367238187734621491104954236010496) (.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (.f64 y -4)) (if (<=.f64 y 7366891713276647/18889465931478580854784) x (/.f64 (/.f64 (/.f64 x (.f64 y y)) (/.f64 1 y)) (/.f64 1 y))))
(if (<=.f64 y -165000000000000016039457831478034819860197753408644362456234243517843023091367238187734621491104954236010496) (.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (.f64 y -4)) (if (<=.f64 y 7378697629483821/18446744073709551616) x (.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (.f64 y -4))))
(if (<=.f64 y -4958484807013127/2361183241434822606848) (.f64 (.f64 (/.f64 -1/2 (/.f64 y x)) (.f64 y -4)) 1/2) (if (<=.f64 y 1850) x (.f64 (+.f64 -1 (-.f64 1 (*.f64 -2 x))) 1/2)))
(if (<=.f64 y -9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464) (/.f64 y (/.f64 y x)) (if (<=.f64 y 1850) x (.f64 (+.f64 -1 (-.f64 1 (.f64 -2 x))) 1/2)))
(if (<=.f64 y -165000000000000016039457831478034819860197753408644362456234243517843023091367238187734621491104954236010496) (/.f64 y (/.f64 y x)) (if (<=.f64 y 1850) x (+.f64 (-.f64 x -1) -1)))
(if (<=.f64 y -38000000000000002037837297717225532438543058589860404488408022384640) (+.f64 (-.f64 x -1) -1) (if (<=.f64 y 1850) x (+.f64 (-.f64 x -1) -1)))
(if (<=.f64 y -9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464) (.f64 (/.f64 x y) y) (if (<=.f64 y 7378697629483821/18446744073709551616) 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 -165000000000000016039457831478034819860197753408644362456234243517843023091367238187734621491104954236010496) (.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (.f64 y -4)) (if (<=.f64 y 7366891713276647/18889465931478580854784) x (/.f64 (/.f64 (/.f64 x (.f64 y y)) (/.f64 1 y)) (/.f64 1 y))))
(if (<=.f64 y -165000000000000016039457831478034819860197753408644362456234243517843023091367238187734621491104954236010496) (.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (.f64 y -4)) (if (<=.f64 y 7378697629483821/18446744073709551616) x (.f64 (.f64 y (/.f64 x (.f64 y (.f64 y -4)))) (.f64 y -4))))
(if (<=.f64 y -4958484807013127/2361183241434822606848) (.f64 (.f64 (/.f64 -1/2 (/.f64 y x)) (.f64 y -4)) 1/2) (if (<=.f64 y 1850) x (.f64 (+.f64 -1 (-.f64 1 (*.f64 -2 x))) 1/2)))
(if (<=.f64 y -9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464) (/.f64 y (/.f64 y x)) (if (<=.f64 y 1850) x (.f64 (+.f64 -1 (-.f64 1 (.f64 -2 x))) 1/2)))
(if (<=.f64 y -165000000000000016039457831478034819860197753408644362456234243517843023091367238187734621491104954236010496) (/.f64 y (/.f64 y x)) (if (<=.f64 y 1850) x (+.f64 (-.f64 x -1) -1)))
(if (<=.f64 y -38000000000000002037837297717225532438543058589860404488408022384640) (+.f64 (-.f64 x -1) -1) (if (<=.f64 y 1850) x (+.f64 (-.f64 x -1) -1)))
(if (<=.f64 y -9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464) (.f64 (/.f64 x y) y) (if (<=.f64 y 7378697629483821/18446744073709551616) x (.f64 (/.f64 x y) y)))
x

Compiler

Compiled 212 to 142 computations (33% saved)

soundness0.0ms (0%)

end86.0ms (1.1%)

Compiler: Compiled 194 to 120 computations (38.1% saved)