Details

analyze67.0ms (0.7%)

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)

sample2.2s (21.7%)

Results

1.1s	859×	body	512	valid
733.0ms	6061×	body	256	valid
416.0ms	1333×	body	1024	valid
1.0ms	3×	body	2048	valid

Bogosity

preprocess114.0ms (1.1%)

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)

simplify100.0ms (1%)

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)

localize6.0ms (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)

series5.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

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

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

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

simplify100.0ms (1%)

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))

eval44.0ms (0.4%)

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

prune39.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	240	8	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	240	9	249

Error

Counts

249 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.2b	(/.f64 (/.f64 x (/.f64 1 (sin.f64 y))) y)
	0.7b	(/.f64 (/.f64 x 1/2) (*.f64 y (/.f64 2 (sin.f64 y))))
▶	9.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
	7.7b	(/.f64 (*.f64 x (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 y)))
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	7.7b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	0.5b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
	30.2b	x

Compiler

Compiled 147 to 101 computations (31.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

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

rewrite146.0ms (1.4%)

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))))))))

simplify649.0ms (6.3%)

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
✓	7.2b	(*.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))
1.0ms	x	@	-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))

rewrite85.0ms (0.8%)

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)))))

simplify171.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

165 → 167

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	9.1b	(/.f64 (*.f64 (sin.f64 y) x) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (sin.f64 y) x)
0.0ms	y	@	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 (0.7%)

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)))))))

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

98 → 123

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
✓	0.5b	(*.f64 (/.f64 1 y) (sin.f64 y))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`rational.json-simplify-35`
1046×	`rational.json-1`
1046×	`rational.json-2`
1046×	`rational.json-4`
1046×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	80	28
2	193	28
3	421	28
4	971	28
5	3281	28

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

Inputs
(*.f64 (/.f64 1 y) (sin.f64 y))
(.f64 x (.f64 (/.f64 1 y) (sin.f64 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 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 y (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 y) (/.f64 2 (sin.f64 y)))))) (#(struct:change #<rule 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simplify174.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1244×	`rational.json-simplify-43`
1188×	`rational.json-simplify-41`
1140×	`rational.json-simplify-2`
1060×	`rational.json-simplify-35`
810×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	355	3152
1	1154	3120
2	3641	3120
3	6639	3120

Stop Event

1×	node limit

Counts

186 → 192

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.3b	(/.f64 x (/.f64 1 (sin.f64 y)))
✓	9.1b	(/.f64 (/.f64 x (/.f64 1 (sin.f64 y))) y)

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`exponential.json-3`
1452×	`rational.json-1`
1452×	`rational.json-2`
1452×	`rational.json-4`
1452×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	88	45
2	290	39
3	1046	39
4	4337	39

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

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

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

simplify214.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational.json-simplify-44`
1332×	`rational.json-simplify-47`
1108×	`rational.json-simplify-61`
1052×	`rational.json-simplify-35`
954×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	3530
1	672	3434
2	1685	3392
3	7008	3392

Stop Event

1×	node limit

Counts

208 → 202

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

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

eval361.0ms (3.5%)

Compiler: Compiled 9756 to 5079 computations (47.9% saved)

prune287.0ms (2.8%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	791	5	796
Fresh	2	1	3
Picked	1	0	1
Done	0	5	5
Total	794	11	805

Error

Counts

805 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.4b	(/.f64 (/.f64 x (/.f64 1 y)) y)
▶	30.3b	(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y)
✓	9.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	39.4b	(/.f64 (*.f64 y x) y)
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	0.4b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
✓	7.7b	(*.f64 (sin.f64 y) (/.f64 x y))
▶	8.0b	(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 -1 y) x))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.5b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
	30.2b	x

Compiler

Compiled 145 to 97 computations (33.1% saved)

localize80.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
	0.1b	(/.f64 1 (sin.f64 y))
✓	0.5b	(*.f64 (/.f64 1 (sin.f64 y)) y)

Compiler

Compiled 25 to 13 computations (48% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite124.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`rational.json-1`
1814×	`rational.json-2`
1814×	`rational.json-4`
1814×	`rational.json-3`
1002×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	82	28
2	231	28
3	736	28
4	2924	28
5	6569	28

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

simplify137.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2096×	`rational.json-simplify-35`
1136×	`rational.json-simplify-2`
1014×	`rational.json-simplify-51`
846×	`rational.json-simplify-1`
832×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2277
1	538	2265
2	1387	2265
3	3357	2241
4	6135	2241

Stop Event

1×	node limit

Counts

127 → 130

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.5b	(/.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	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)
0.0ms	y	@	-inf	(/.f64 (*.f64 y x) y)

rewrite132.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 280

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 0 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 y x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 1 (/.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 2 (/.f64 1 y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 x x)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 x x)) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 x x)) (*.f64 y (/.f64 (/.f64 1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (neg.f64 x) (/.f64 1 y)) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (neg.f64 (*.f64 (*.f64 y x) -2)) (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 x 4)) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 x (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 y) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (/.f64 1 (/.f64 1 y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (/.f64 2 (/.f64 1 y)) (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (*.f64 y -2) (neg.f64 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 (neg.f64 y) (*.f64 (/.f64 1 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (+.f64 y y) (*.f64 (/.f64 1 y) (*.f64 y (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (neg.f64 y) (/.f64 (neg.f64 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 y 4) (/.f64 (*.f64 y 4) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 (/.f64 (*.f64 y x) (neg.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 y (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (/.f64 (*.f64 y 4) (*.f64 (/.f64 1 y) (*.f64 y (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (/.f64 (*.f64 y -2) (/.f64 (neg.f64 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (/.f64 (/.f64 (*.f64 y (*.f64 x 4)) y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 (/.f64 2 (/.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 y -2) (/.f64 -1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y x)) (/.f64 y (/.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 y)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 y)) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 y)) (/.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 y)) (/.f64 (*.f64 y -2) (*.f64 (/.f64 1 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (/.f64 x (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (/.f64 (/.f64 (*.f64 y x) (neg.f64 y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 (+.f64 y y) (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (/.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (*.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (/.f64 y (*.f64 (/.f64 1 y) (*.f64 y (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (/.f64 (+.f64 y y) (/.f64 (*.f64 y 4) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 y (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (*.f64 y 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (*.f64 x 4)) y) (/.f64 y (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 4) y) (/.f64 (*.f64 y x) (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (+.f64 y y)) (/.f64 y (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) (*.f64 y -2)) (/.f64 (*.f64 y -2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (*.f64 y 4)) (/.f64 (+.f64 y y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) y) (/.f64 y (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) (neg.f64 y)) (/.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (*.f64 x 4)) (*.f64 y 1/2)) (/.f64 y (*.f64 (+.f64 y y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 y x) -2) y) (/.f64 y (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 4) y) (/.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (*.f64 y 1/2)) (/.f64 y (/.f64 2 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simplify132.0ms (1.3%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 1 y))
✓	16.5b	(/.f64 (/.f64 x (/.f64 1 y)) y)

Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite113.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1964×	`rational.json-1`
1964×	`rational.json-2`
1582×	`rational.json-simplify-35`
946×	`rational.json-simplify-50`
848×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	74	26
2	255	8
3	936	8
4	2800	8
5	6914	8

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

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

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational.json-simplify-44`
1142×	`rational.json-simplify-47`
1020×	`rational.json-simplify-46`
920×	`rational.json-simplify-35`
824×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	999
1	493	975
2	1451	951
3	5366	939
4	7398	939

Stop Event

1×	node limit

Counts

195 → 162

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

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

localize86.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 y) (*.f64 y 1/6))
✓	0.2b	(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
✓	0.3b	(*.f64 y 1/6)
✓	9.0b	(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y)

Compiler

Compiled 39 to 26 computations (33.3% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
1.0ms	y	@	inf	(+.f64 (/.f64 1 y) (*.f64 y 1/6))
1.0ms	x	@	0	(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y)
1.0ms	x	@	inf	(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y)
1.0ms	x	@	inf	(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))

rewrite106.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1978×	`rational.json-1`
1978×	`rational.json-2`
1704×	`rational.json-simplify-35`
904×	`exponential.json-3`
904×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	82
1	92	82
2	259	82
3	754	82
4	2597	82
5	7047	82

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

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

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

simplify239.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1070×	`rational.json-simplify-51`
816×	`rational.json-simplify-44`
786×	`rational.json-simplify-35`
690×	`exponential.json-simplify-26`
674×	`rational.json-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	292	6085
1	608	6019
2	1360	5981
3	4252	5957
4	6985	5933

Stop Event

1×	node limit

Counts

203 → 211

Calls

Call 1

Inputs
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 5) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 -1/216 (.f64 (pow.f64 y 7) x)) (+.f64 (.f64 y x) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 5) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 6 (/.f64 x y))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (.f64 6 (/.f64 x y)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 x y)) (*.f64 216 (/.f64 x (pow.f64 y 5)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 x y)) (+.f64 (.f64 -1296 (/.f64 x (pow.f64 y 7))) (.f64 216 (/.f64 x (pow.f64 y 5))))))
(*.f64 6 (/.f64 x y))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (.f64 6 (/.f64 x y)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 x y)) (*.f64 216 (/.f64 x (pow.f64 y 5)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 x y)) (+.f64 (.f64 -1296 (/.f64 x (pow.f64 y 7))) (.f64 216 (/.f64 x (pow.f64 y 5))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(*.f64 1/6 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(*.f64 1/6 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))) 0)
(+.f64 0 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(-.f64 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))) 0)
(.f64 x (/.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) y))
(.f64 1 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 1 y) (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1 y))
(.f64 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) 1)
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(.f64 2 (/.f64 x (.f64 y (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
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Outputs
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(.f64 (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 x (neg.f64 y)) (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y))) (/.f64 2 y))
(.f64 x (.f64 (/.f64 2 y) (/.f64 1 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 (/.f64 2 y) (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (+.f64 y y)) 2)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 x (+.f64 y y)) (.f64 2 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 2 (.f64 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) (/.f64 x (+.f64 y y))))
(.f64 (/.f64 x (.f64 y (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) 2)
(.f64 2 (/.f64 x (.f64 y (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 (.f64 2 (/.f64 x y)) (+.f64 (.f64 y 1/3) (/.f64 2 y)))
(.f64 (/.f64 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) 2) 2)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 1 (.f64 y 4)) (.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) 4))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 1 (.f64 (+.f64 y y) (+.f64 (.f64 y 1/3) (/.f64 2 y)))) (.f64 x 4))
(.f64 (.f64 x 4) (/.f64 (/.f64 1/2 y) (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(.f64 x (.f64 4 (/.f64 (/.f64 1/2 y) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 (/.f64 -1 y) (/.f64 x (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 1 (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))) (neg.f64 x))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 2 (.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) (neg.f64 y))) (neg.f64 x))
(.f64 (neg.f64 x) (/.f64 2 (.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) (neg.f64 y))))
(.f64 (neg.f64 x) (/.f64 (/.f64 2 (neg.f64 y)) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (neg.f64 x) (/.f64 (/.f64 -2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 -1 (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (neg.f64 x))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (+.f64 (/.f64 1 (+.f64 (.f64 y 1/3) (/.f64 2 y))) (/.f64 1 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) (/.f64 x y))
(.f64 2 (/.f64 x (.f64 y (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 (.f64 2 (/.f64 x y)) (+.f64 (.f64 y 1/3) (/.f64 2 y)))
(.f64 (+.f64 (/.f64 (/.f64 1 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))) (/.f64 (/.f64 1 y) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) x)
(.f64 2 (/.f64 x (.f64 y (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 (.f64 2 (/.f64 x y)) (+.f64 (.f64 y 1/3) (/.f64 2 y)))
(pow.f64 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))) 1)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 x (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6))))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) (neg.f64 y))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (neg.f64 x) (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(+.f64 (*.f64 y 1/6) 0)
(*.f64 y 1/6)
(+.f64 0 (*.f64 y 1/6))
(*.f64 y 1/6)
(-.f64 (*.f64 y 1/6) 0)
(*.f64 y 1/6)
(/.f64 (*.f64 y 1/6) 1)
(*.f64 y 1/6)
(/.f64 (*.f64 y 1/3) 2)
(*.f64 y 1/6)
(/.f64 (*.f64 y 2/3) 4)
(*.f64 y 1/6)
(/.f64 (.f64 2 (.f64 y 2/3)) 8)
(*.f64 y 1/6)
(/.f64 (+.f64 (.f64 2 (.f64 y 2/3)) (.f64 2 (.f64 y 2/3))) 16)
(*.f64 y 1/6)
(pow.f64 (*.f64 y 1/6) 1)
(*.f64 y 1/6)
(+.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 0)
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(+.f64 0 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(+.f64 -1 (-.f64 1 (/.f64 x (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(-.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 0)
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(-.f64 0 (/.f64 x (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 1 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) 1)
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 2 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) x))
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 (/.f64 (.f64 x 4) (+.f64 (*.f64 y 1/3) (/.f64 2 y))) 1/2)
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 (+.f64 x x) (/.f64 1 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 (+.f64 x x) (.f64 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) 1/2))
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 (.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 4) 1/4)
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (.f64 x 4) (/.f64 2 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4)))
(.f64 (.f64 x 4) (/.f64 2 (.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 (.f64 x 4) (/.f64 1/2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(.f64 x (.f64 4 (/.f64 1/2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x)
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 (/.f64 x (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)))) -1)
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (neg.f64 x) (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) (neg.f64 x))
(.f64 x (neg.f64 (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 -1 (/.f64 x (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (.f64 2 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) (/.f64 x 2))
(.f64 2 (.f64 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) (/.f64 x 2)))
(.f64 1/2 (/.f64 (.f64 x 4) (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 (/.f64 1 (+.f64 (.f64 y 1/3) (/.f64 2 y))) (+.f64 x x))
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 (.f64 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) 1/2) (+.f64 x x))
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) (neg.f64 x))
(.f64 x (neg.f64 (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y))) 2)
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(.f64 1/4 (.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 4))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 x 2) (.f64 2 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 2 (.f64 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) (/.f64 x 2)))
(.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2) 2)
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 2 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4)) (.f64 x 4))
(.f64 (.f64 x 4) (/.f64 2 (.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 (.f64 x 4) (/.f64 1/2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(.f64 x (.f64 4 (/.f64 1/2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 (+.f64 (/.f64 1 (+.f64 (.f64 y 1/3) (/.f64 2 y))) (/.f64 1 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) x)
(.f64 x (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2))
(pow.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1)
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 x (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(-.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 0)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(-.f64 0 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6)))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 1)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 2 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4))
(.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)
(.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)
(.f64 2 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4))
(.f64 (.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) 1/4)
(.f64 2 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4))
(.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)
(.f64 (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6))) -1)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 -1 (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(.f64 1/2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))
(.f64 2 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4))
(.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)
(.f64 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4) 2)
(.f64 2 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4))
(.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)
(.f64 1/4 (.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(.f64 2 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4))
(.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)
(/.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 1)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 2)
(/.f64 (.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) 4)
(.f64 2 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4))
(.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)
(/.f64 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) -1)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(/.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)))) -2)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(/.f64 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4) 8)
(.f64 2 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4))
(.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 4)) 16)
(.f64 2 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 4))
(.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)
(pow.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 1)
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(neg.f64 (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (/.f64 -1 y) x)
✓	7.2b	(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 -1 y) x))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`rational.json-1`
1434×	`rational.json-2`
1434×	`rational.json-4`
1434×	`rational.json-3`
1430×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	86	40
2	223	36
3	529	28
4	1277	28
5	4527	28

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1892×	`rational.json-simplify-35`
1414×	`rational.json-simplify-61`
842×	`rational.json-simplify-2`
818×	`rational.json-simplify-43`
756×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	2101
1	766	2101
2	2304	2101
3	5816	2101

Stop Event

1×	node limit

Counts

145 → 115

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

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

eval229.0ms (2.2%)

Compiler: Compiled 13926 to 7930 computations (43.1% saved)

prune263.0ms (2.6%)

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	1093	13	1106
Fresh	0	1	1
Picked	0	1	1
Done	1	8	9
Total	1094	23	1117

Error

Counts

1117 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.3b	(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y)
▶	29.1b	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
	43.6b	(/.f64 (+.f64 -1 (-.f64 1 (/.f64 x (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))) y)
▶	30.3b	(/.f64 (.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x) y)
✓	9.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	39.4b	(/.f64 (*.f64 y x) y)
	52.9b	(/.f64 (*.f64 6 (/.f64 x y)) y)
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.4b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
	21.6b	(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) y))
	37.4b	(+.f64 -1 (-.f64 1 (neg.f64 x)))
▶	37.0b	(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)
	30.2b	(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1 y))
▶	29.8b	(*.f64 (/.f64 x y) y)
	29.1b	(.f64 (/.f64 1 (+.f64 (.f64 y 1/3) (/.f64 2 y))) (*.f64 x (/.f64 2 y)))
✓	7.7b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	8.0b	(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 -1 y) x))
▶	21.5b	(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	21.6b	(.f64 x (/.f64 2 (.f64 y (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
✓	0.5b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
	29.1b	(*.f64 2 (/.f64 (/.f64 y (/.f64 y (neg.f64 x))) -2))
	30.2b	x

Compiler

Compiled 422 to 299 computations (29.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y 1/3) (/.f64 2 y))
✓	0.3b	(*.f64 y 1/3)
✓	0.4b	(/.f64 (/.f64 2 y) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))
✓	3.6b	(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))

Compiler

Compiled 43 to 30 computations (30.2% saved)

series6.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
1.0ms	x	@	inf	(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
1.0ms	y	@	inf	(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
1.0ms	x	@	-inf	(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
0.0ms	y	@	0	(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`rational.json-1`
1488×	`rational.json-2`
1488×	`rational.json-4`
1488×	`rational.json-3`
1472×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	94
1	82	94
2	223	94
3	659	94
4	2179	94
5	5509	94

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

Inputs
(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 (/.f64 2 y) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))
(*.f64 y 1/3)
(+.f64 (*.f64 y 1/3) (/.f64 2 y))

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

simplify141.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational.json-simplify-53`
994×	`rational.json-simplify-41`
888×	`rational.json-simplify-43`
764×	`rational.json-simplify-2`
750×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	306	5917
1	834	5909
2	2550	5881
3	4317	5881
4	7240	5869

Stop Event

1×	node limit

Counts

181 → 191

Calls

Call 1

Inputs
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
(+.f64 (.f64 -1/216 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 6 (pow.f64 y 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(/.f64 6 (pow.f64 y 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(/.f64 2 y)
(+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y))
(+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y))
(+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y))
(*.f64 1/3 y)
(+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y))
(+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y))
(+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y))
(*.f64 1/3 y)
(+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y))
(+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y))
(+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y))
(+.f64 (.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 x y)) 0)
(+.f64 0 (.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 x y)))
(-.f64 (.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 x y)) 0)
(/.f64 x (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (*.f64 y 1/2)))
(/.f64 2 (/.f64 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))) x))
(/.f64 2 (+.f64 (/.f64 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))) (+.f64 x x)) (/.f64 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))) (+.f64 x x))))
(/.f64 (/.f64 2 y) (/.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) x))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (+.f64 x x)) (/.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (+.f64 x x))))
(/.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))) (/.f64 1 x))
(/.f64 (.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 x y)) 1)
(/.f64 1 (/.f64 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))) (+.f64 x x)))
(/.f64 4 (+.f64 (/.f64 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))) x) (/.f64 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))) x)))
(/.f64 (/.f64 4 y) (/.f64 (+.f64 (/.f64 4 y) (*.f64 y 2/3)) x))
(/.f64 (/.f64 4 y) (+.f64 (/.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) x) (/.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) x)))
(/.f64 (/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3))) (/.f64 y x))
(/.f64 (/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3))) (+.f64 (/.f64 y (+.f64 x x)) (/.f64 y (+.f64 x x))))
(/.f64 (.f64 x (/.f64 (/.f64 4 y) (+.f64 (/.f64 2 y) (.f64 y 1/3)))) 2)
(/.f64 (+.f64 x x) (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 (/.f64 4 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))) (/.f64 2 x))
(/.f64 (/.f64 (/.f64 4 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (.f64 2 (/.f64 4 y)) (+.f64 (/.f64 (+.f64 (/.f64 4 y) (.f64 y 2/3)) x) (/.f64 (+.f64 (/.f64 4 y) (*.f64 y 2/3)) x)))
(/.f64 (/.f64 4 (+.f64 (/.f64 2 y) (*.f64 y 1/3))) (/.f64 (+.f64 y y) x))
(/.f64 (/.f64 4 (+.f64 (/.f64 2 y) (*.f64 y 1/3))) (+.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (/.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3))) (/.f64 y (+.f64 x x)))
(/.f64 (/.f64 -2 y) (/.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) (neg.f64 x)))
(/.f64 (/.f64 -2 (+.f64 (/.f64 2 y) (*.f64 y 1/3))) (/.f64 y (neg.f64 x)))
(/.f64 (.f64 x 4) (.f64 y (+.f64 (/.f64 4 y) (*.f64 y 2/3))))
(/.f64 (.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) (*.f64 x 4)) 4)
(/.f64 (.f64 2 (/.f64 (/.f64 4 y) (+.f64 (/.f64 2 y) (.f64 y 1/3)))) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 (/.f64 8 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 (.f64 y 4) x))
(/.f64 (/.f64 8 (+.f64 (/.f64 2 y) (*.f64 y 1/3))) (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x)))
(/.f64 (neg.f64 (/.f64 4 y)) (+.f64 (/.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (neg.f64 x)) (/.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 4 (+.f64 (/.f64 2 y) (*.f64 y 1/3)))) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))))
(/.f64 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))) (.f64 y 1/2))
(/.f64 (/.f64 1 y) (/.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) (+.f64 x x)))
(/.f64 (.f64 2 (.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) (.f64 x 4))) 8)
(/.f64 (.f64 2 (.f64 x 4)) (.f64 y (.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(/.f64 (.f64 2 (/.f64 8 (+.f64 (/.f64 2 y) (.f64 y 1/3)))) (+.f64 (/.f64 (.f64 y 4) x) (/.f64 (.f64 y 4) x)))
(/.f64 (/.f64 (.f64 x 4) (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (.f64 y 1/2))) 4)
(/.f64 (/.f64 x y) (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) 1/2))
(/.f64 (/.f64 x 2) (/.f64 (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (*.f64 y 1/2)) 2))
(/.f64 (neg.f64 x) (neg.f64 (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (*.f64 y 1/2))))
(/.f64 (+.f64 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3)))) y)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) (.f64 x 4))) (.f64 2 (.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) (.f64 x 4)))) 16)
(/.f64 (+.f64 (/.f64 (.f64 x 4) (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (.f64 y 1/2))) (/.f64 (.f64 x 4) (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (.f64 y 1/2)))) 8)
(/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (.f64 y 1/2))) (neg.f64 (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (.f64 y 1/2)))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3)))))
(/.f64 (neg.f64 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3)))) (neg.f64 (.f64 y 1/2)))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) 1/2)))
(/.f64 (neg.f64 (neg.f64 x)) (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) (*.f64 y 1/2)))
(pow.f64 (.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 x y)) 1)
(+.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))) 0)
(+.f64 0 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))))
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(+.f64 (/.f64 (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))) y) (/.f64 (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))) y))
(-.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))) 0)
(.f64 2 (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(.f64 2 (/.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) 2))
(.f64 2 (.f64 (/.f64 2 y) (/.f64 1 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 (/.f64 2 y) (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) 1)
(.f64 1 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 (/.f64 4 y) (/.f64 1 (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(.f64 (/.f64 4 y) (.f64 (/.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3))) 1/2))
(.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 1 y))
(.f64 (/.f64 (/.f64 4 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) 1/2)
(.f64 (.f64 2 (/.f64 4 y)) (/.f64 2 (.f64 4 (+.f64 (/.f64 4 y) (.f64 y 2/3)))))
(.f64 (/.f64 4 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 1 (+.f64 y y)))
(.f64 (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))) (/.f64 2 y))
(.f64 (/.f64 -2 y) (/.f64 -1 (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 (/.f64 -2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 -1 y))
(.f64 -1 (/.f64 (/.f64 -2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 -1 (/.f64 (/.f64 -2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) y))
(.f64 (/.f64 1 y) (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 1/2 (/.f64 (/.f64 4 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 (/.f64 1 (+.f64 (/.f64 4 y) (.f64 y 2/3))) (/.f64 4 y))
(.f64 (.f64 (/.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3))) 1/2) (/.f64 4 y))
(.f64 (/.f64 1 (+.f64 y y)) (/.f64 4 (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 (/.f64 (/.f64 -2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) -1)
(.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) y) -1)
(.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))) 2)
(.f64 (/.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) 2) 2)
(.f64 (/.f64 2 (.f64 4 (+.f64 (/.f64 4 y) (.f64 y 2/3)))) (.f64 2 (/.f64 4 y)))
(.f64 (/.f64 -1 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 -2 y))
(.f64 (/.f64 -1 y) (/.f64 -2 (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 (.f64 (/.f64 2 y) (/.f64 1 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))) 2)
(pow.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))) 1)
(neg.f64 (/.f64 (/.f64 -2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 2 y) (*.f64 y 1/3))) y))
(+.f64 (*.f64 y 1/3) 0)
(+.f64 0 (*.f64 y 1/3))
(-.f64 (*.f64 y 1/3) 0)
(/.f64 (*.f64 y 1/3) 1)
(/.f64 (*.f64 y 2/3) 2)
(/.f64 (*.f64 y 4/3) 4)
(/.f64 (.f64 2 (.f64 y 4/3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 y 4/3)) (.f64 2 (.f64 y 4/3))) 16)
(pow.f64 (*.f64 y 1/3) 1)
(-.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) 0)
(-.f64 0 (neg.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3))))
(.f64 2 (.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) 1/2))
(.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) 1)
(.f64 1 (+.f64 (/.f64 2 y) (.f64 y 1/3)))
(.f64 (+.f64 (/.f64 4 y) (.f64 y 2/3)) 1/2)
(.f64 (.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3))) 1/4)
(.f64 (neg.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3))) -1)
(.f64 (.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) 1/2) 2)
(.f64 -1 (neg.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 1/2 (+.f64 (/.f64 4 y) (.f64 y 2/3)))
(.f64 1/4 (.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3))))
(/.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) 1)
(/.f64 (+.f64 (/.f64 4 y) (*.f64 y 2/3)) 2)
(/.f64 (.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))) 4)
(/.f64 (/.f64 4 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3)))))
(/.f64 (neg.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3))) -1)
(/.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)))) -2)
(/.f64 (.f64 4 (+.f64 (/.f64 4 y) (.f64 y 2/3))) 8)
(/.f64 (.f64 2 (.f64 4 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))) 16)
(pow.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) 1)
(neg.f64 (neg.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3))))

Outputs
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
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(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
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(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
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(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
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(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
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(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
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(*.f64 6 (/.f64 x (pow.f64 y 2)))
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(*.f64 6 (/.f64 x (pow.f64 y 2)))
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1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
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(+.f64 (.f64 -1/216 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(+.f64 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 1/36 (pow.f64 y 4)) 1)) (*.f64 -1/216 (pow.f64 y 6)))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (+.f64 1 (.f64 1/36 (pow.f64 y 4))) (*.f64 -1/216 (pow.f64 y 6))))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/216 (pow.f64 y 6)) (+.f64 1 (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 6 (pow.f64 y 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
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(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 1296 (/.f64 1 (pow.f64 y 8)))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (-.f64 (.f64 216 (/.f64 1 (pow.f64 y 6))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 1296 (/.f64 1 (pow.f64 y 8))))))
(/.f64 6 (pow.f64 y 2))
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(+.f64 (/.f64 2 (.f64 y (+.f64 (/.f64 4 y) (.f64 y 2/3)))) (/.f64 2 (.f64 y (+.f64 (/.f64 4 y) (.f64 y 2/3)))))
(+.f64 (/.f64 (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))) y) (/.f64 (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))) y))
(+.f64 (/.f64 2 (.f64 y (+.f64 (/.f64 4 y) (.f64 y 2/3)))) (/.f64 2 (.f64 y (+.f64 (/.f64 4 y) (.f64 y 2/3)))))
(+.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))) (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(-.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))) 0)
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 2 (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(.f64 2 (/.f64 2 (.f64 y (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 2 (/.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) 2))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 2 (.f64 (/.f64 2 y) (/.f64 1 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 2 (/.f64 2 (.f64 y (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 2 (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(.f64 (/.f64 2 y) (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) 1)
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 1 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 4 y) (/.f64 1 (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(/.f64 (/.f64 4 y) (+.f64 (/.f64 4 y) (*.f64 y 2/3)))
(.f64 (/.f64 4 y) (.f64 (/.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3))) 1/2))
(.f64 (/.f64 4 y) (.f64 1/2 (/.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 1/2 (.f64 (/.f64 4 y) (/.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))) (*.f64 1/2 (/.f64 4 y)))
(.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 1 y))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 (/.f64 4 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) 1/2)
(.f64 1/2 (/.f64 4 (.f64 y (+.f64 (/.f64 2 y) (*.f64 y 1/3)))))
(.f64 1/2 (/.f64 (/.f64 4 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 (.f64 2 (/.f64 4 y)) (/.f64 2 (.f64 4 (+.f64 (/.f64 4 y) (.f64 y 2/3)))))
(.f64 2 (/.f64 2 (.f64 y (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 2 (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(.f64 (/.f64 4 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 1 (+.f64 y y)))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))) (/.f64 2 y))
(.f64 (/.f64 2 y) (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(.f64 (/.f64 -2 y) (/.f64 -1 (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 -2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 -1 y))
(.f64 -1 (/.f64 (/.f64 -2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 -1 (/.f64 (/.f64 -2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) y))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 1 y) (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 1/2 (/.f64 (/.f64 4 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 1/2 (/.f64 4 (.f64 y (+.f64 (/.f64 2 y) (*.f64 y 1/3)))))
(.f64 (/.f64 1 (+.f64 (/.f64 4 y) (.f64 y 2/3))) (/.f64 4 y))
(.f64 (/.f64 4 y) (/.f64 1 (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(/.f64 (/.f64 4 y) (+.f64 (/.f64 4 y) (*.f64 y 2/3)))
(.f64 (.f64 (/.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3))) 1/2) (/.f64 4 y))
(.f64 (/.f64 4 y) (.f64 1/2 (/.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 1/2 (.f64 (/.f64 4 y) (/.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 (/.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))) (*.f64 1/2 (/.f64 4 y)))
(.f64 (/.f64 1 (+.f64 y y)) (/.f64 4 (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 (/.f64 -2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) -1)
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) y) -1)
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))) 2)
(.f64 2 (/.f64 2 (.f64 y (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 2 (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(.f64 (/.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (.f64 y 1/3))) 2) 2)
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 2 (.f64 4 (+.f64 (/.f64 4 y) (.f64 y 2/3)))) (.f64 2 (/.f64 4 y)))
(.f64 2 (/.f64 2 (.f64 y (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 2 (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(.f64 (/.f64 -1 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 -2 y))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 -1 y) (/.f64 -2 (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(.f64 (/.f64 -2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 -1 y))
(.f64 (.f64 (/.f64 2 y) (/.f64 1 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))) 2)
(.f64 2 (/.f64 2 (.f64 y (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
(.f64 2 (/.f64 (/.f64 2 y) (+.f64 (/.f64 4 y) (.f64 y 2/3))))
(pow.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))) 1)
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(neg.f64 (/.f64 (/.f64 -2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 (/.f64 2 y) (*.f64 y 1/3))) y))
(/.f64 2 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(+.f64 (*.f64 y 1/3) 0)
(*.f64 y 1/3)
(+.f64 0 (*.f64 y 1/3))
(*.f64 y 1/3)
(-.f64 (*.f64 y 1/3) 0)
(*.f64 y 1/3)
(/.f64 (*.f64 y 1/3) 1)
(*.f64 y 1/3)
(/.f64 (*.f64 y 2/3) 2)
(*.f64 y 1/3)
(/.f64 (*.f64 y 4/3) 4)
(*.f64 y 1/3)
(/.f64 (.f64 2 (.f64 y 4/3)) 8)
(*.f64 y 1/3)
(/.f64 (+.f64 (.f64 2 (.f64 y 4/3)) (.f64 2 (.f64 y 4/3))) 16)
(*.f64 y 1/3)
(pow.f64 (*.f64 y 1/3) 1)
(*.f64 y 1/3)
(-.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) 0)
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(-.f64 0 (neg.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3))))
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(.f64 2 (.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) 1/2))
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) 1)
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(.f64 1 (+.f64 (/.f64 2 y) (.f64 y 1/3)))
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(.f64 (+.f64 (/.f64 4 y) (.f64 y 2/3)) 1/2)
(.f64 1/2 (+.f64 (/.f64 4 y) (.f64 y 2/3)))
(.f64 (.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3))) 1/4)
(.f64 1/2 (+.f64 (/.f64 4 y) (.f64 y 2/3)))
(.f64 (neg.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3))) -1)
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(.f64 (.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) 1/2) 2)
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(.f64 -1 (neg.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(.f64 1/2 (+.f64 (/.f64 4 y) (.f64 y 2/3)))
(.f64 1/4 (.f64 2 (+.f64 (/.f64 4 y) (*.f64 y 2/3))))
(.f64 1/2 (+.f64 (/.f64 4 y) (.f64 y 2/3)))
(/.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) 1)
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(/.f64 (+.f64 (/.f64 4 y) (*.f64 y 2/3)) 2)
(/.f64 (.f64 2 (+.f64 (/.f64 4 y) (.f64 y 2/3))) 4)
(.f64 1/2 (+.f64 (/.f64 4 y) (.f64 y 2/3)))
(/.f64 (/.f64 4 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3)))))
(/.f64 4 (/.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 (.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)) 1/2) (+.f64 (/.f64 2 y) (.f64 y 1/3)))))
(/.f64 (neg.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3))) -1)
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(/.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 2 y) (.f64 y 1/3)))) -2)
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(/.f64 (.f64 4 (+.f64 (/.f64 4 y) (.f64 y 2/3))) 8)
(.f64 1/2 (+.f64 (/.f64 4 y) (.f64 y 2/3)))
(/.f64 (.f64 2 (.f64 4 (+.f64 (/.f64 4 y) (*.f64 y 2/3)))) 16)
(.f64 1/2 (+.f64 (/.f64 4 y) (.f64 y 2/3)))
(pow.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3)) 1)
(+.f64 (/.f64 2 y) (*.f64 y 1/3))
(neg.f64 (neg.f64 (+.f64 (/.f64 2 y) (*.f64 y 1/3))))
(+.f64 (/.f64 2 y) (*.f64 y 1/3))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.4b	(*.f64 (/.f64 x y) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 141

Calls

Call 1

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

Outputs

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

simplify102.0ms (1%)

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y (/.f64 y x))
✓	14.4b	(/.f64 y (*.f64 y (/.f64 y x)))
✓	15.4b	(.f64 (/.f64 y (.f64 y (/.f64 y x))) y)

Compiler

Compiled 28 to 6 computations (78.6% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite119.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

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

Outputs

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

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-35`
1096×	`rational.json-simplify-44`
990×	`rational.json-simplify-47`
790×	`rational.json-simplify-50`
744×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	2701
1	1429	2391
2	5780	2207

Stop Event

1×	node limit

Counts

311 → 265

Calls

Call 1

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 1 y) (*.f64 y 1/6))
	0.3b	(*.f64 y 1/6)
✓	7.5b	(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	92	31
2	259	31
3	755	31
4	2594	31
5	7012	31

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify169.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1494×	`rational.json-simplify-35`
1224×	`rational.json-simplify-2`
1128×	`rational.json-simplify-51`
1064×	`rational.json-simplify-53`
980×	`rational.json-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	180	3236
1	379	3224
2	841	3224
3	1873	3212
4	4110	3206
5	6308	3206

Stop Event

1×	node limit

Counts

92 → 108

Calls

Call 1

Inputs
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(+.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 0)
(+.f64 0 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(-.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 0)
(.f64 x (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 1 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 1 y) (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 1)
(.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(.f64 (.f64 x (/.f64 2 y)) (.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))) 1/2))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2))))
(.f64 2 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (+.f64 y y))))
(.f64 2 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2))
(.f64 2 (.f64 (/.f64 1/2 y) (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y) x))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 x y)))
(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1 y))
(.f64 (/.f64 (.f64 x (/.f64 2 y)) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2)
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 4)))
(.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (/.f64 1/2 y))
(.f64 (.f64 x 4) (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4))))
(.f64 (.f64 (/.f64 1 y) 2) (/.f64 x (+.f64 (.f64 y 1/3) (.f64 (/.f64 1 y) 2))))
(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
(.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 x y))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 -1 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 (neg.f64 x) (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 -1 y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 -1 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 -1 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (neg.f64 y)))
(.f64 -1 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))))
(.f64 -1 (/.f64 x (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(.f64 -1 (/.f64 (neg.f64 x) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 1/2 (/.f64 (.f64 x (/.f64 2 y)) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (*.f64 x (/.f64 2 y)))
(.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y) (+.f64 x x))
(.f64 (/.f64 1/2 y) (.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2) (+.f64 x x))
(.f64 (.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))) 1/2) (.f64 x (/.f64 2 y)))
(.f64 (/.f64 2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 x (+.f64 y y)))
(.f64 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) -1)
(.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (neg.f64 y)) -1)
(.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))) -1)
(.f64 (/.f64 x (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))) -1)
(.f64 (/.f64 (neg.f64 x) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) -1)
(.f64 (/.f64 (/.f64 x y) (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2))) 2)
(.f64 (/.f64 x (+.f64 y y)) (/.f64 2 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 x (+.f64 (.f64 y 1/3) (.f64 (/.f64 1 y) 2))) (.f64 (/.f64 1 y) 2))
(.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (+.f64 y y))) 2)
(.f64 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 4)) (.f64 (/.f64 x y) 4))
(.f64 (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 4))) (*.f64 x 4))
(.f64 (/.f64 -1 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 -1 y) (/.f64 (neg.f64 x) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))) (neg.f64 x))
(.f64 (/.f64 1 (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))) (neg.f64 x))
(.f64 (/.f64 -1 (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (neg.f64 x))
(.f64 (+.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (/.f64 x y))
(.f64 (+.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y) (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y)) x)
(pow.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1)
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))
(neg.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) (neg.f64 y))))
(neg.f64 (/.f64 x (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6))))))
(neg.f64 (/.f64 (neg.f64 x) (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))))

Outputs
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 x (.f64 (pow.f64 y 2) (.f64 x -1/6)))
(+.f64 x (.f64 x (.f64 (pow.f64 y 2) -1/6)))
(+.f64 x (.f64 x (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 1/36 (.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 2) -1/6)) (.f64 x (.f64 1/36 (pow.f64 y 4)))))
(+.f64 x (+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 2))) (.f64 (pow.f64 y 4) (.f64 x 1/36))))
(+.f64 x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(+.f64 x (.f64 x (+.f64 (.f64 1/36 (pow.f64 y 4)) (*.f64 -1/6 (pow.f64 y 2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(+.f64 (.f64 -1/216 (.f64 x (pow.f64 y 6))) (+.f64 (.f64 1/36 (.f64 x (pow.f64 y 4))) (+.f64 x (.f64 (pow.f64 y 2) (.f64 x -1/6)))))
(+.f64 (.f64 x (.f64 (pow.f64 y 2) -1/6)) (+.f64 (+.f64 x (.f64 x (.f64 1/36 (pow.f64 y 4)))) (.f64 -1/216 (.f64 x (pow.f64 y 6)))))
(+.f64 x (+.f64 (+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 2))) (.f64 (pow.f64 y 4) (.f64 x 1/36))) (.f64 x (.f64 -1/216 (pow.f64 y 6)))))
(+.f64 x (+.f64 (.f64 x (.f64 -1/216 (pow.f64 y 6))) (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4))))))
(+.f64 x (.f64 x (+.f64 (.f64 -1/216 (pow.f64 y 6)) (+.f64 (.f64 1/36 (pow.f64 y 4)) (.f64 -1/6 (pow.f64 y 2))))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (.f64 -36 (/.f64 x (pow.f64 y 4))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (*.f64 -36 (/.f64 x (pow.f64 y 4)))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (+.f64 (.f64 -1296 (/.f64 x (pow.f64 y 8))) (.f64 6 (/.f64 x (pow.f64 y 2))))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (.f64 -36 (/.f64 x (pow.f64 y 4))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (*.f64 -36 (/.f64 x (pow.f64 y 4)))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (+.f64 (.f64 -1296 (/.f64 x (pow.f64 y 8))) (.f64 6 (/.f64 x (pow.f64 y 2))))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(+.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 0)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(+.f64 0 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(-.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 0)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 x (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 1 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 1 y) (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 1)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(.f64 x (.f64 (/.f64 2 y) (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (*.f64 x (/.f64 2 y)))
(.f64 x (.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 2 y)))
(.f64 (.f64 x (/.f64 2 y)) (.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))) 1/2))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 y 1/3) (.f64 (/.f64 1 y) 2)))))
(.f64 2 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (+.f64 y y))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 2 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 2 (.f64 (/.f64 1/2 y) (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y) x))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 x y)))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1 y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 (.f64 x (/.f64 2 y)) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 4)))
(.f64 (.f64 4 (/.f64 x y)) (/.f64 1 (.f64 4 (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(.f64 4 (.f64 (/.f64 1/4 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 x y)))
(.f64 (.f64 4 (/.f64 x y)) (/.f64 1/4 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(.f64 4 (.f64 (/.f64 x y) (/.f64 1/4 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (/.f64 1/2 y))
(.f64 x (.f64 (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 1/2 y)))
(.f64 x (.f64 (/.f64 1/2 y) (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (*.f64 x (/.f64 1/2 y)))
(.f64 (.f64 x 4) (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) 4))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (.f64 (/.f64 1 y) 2) (/.f64 x (+.f64 (.f64 y 1/3) (.f64 (/.f64 1 y) 2))))
(.f64 (/.f64 1 y) (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (.f64 (/.f64 1 y) 2)))))
(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 x y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 -1 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 (neg.f64 x) (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 -1 y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (neg.f64 x) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 -1 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 -1 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (neg.f64 y)))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 -1 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 -1 (/.f64 x (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 -1 (/.f64 (neg.f64 x) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 1/2 (/.f64 (.f64 x (/.f64 2 y)) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (*.f64 x (/.f64 2 y)))
(.f64 x (.f64 (/.f64 2 y) (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 x (.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 2 y)))
(.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y) (+.f64 x x))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 1/2 y) (.f64 x (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 x (.f64 (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 1/2 y)))
(.f64 x (.f64 (/.f64 1/2 y) (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (*.f64 x (/.f64 1/2 y)))
(.f64 (.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1/2) (+.f64 x x))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y 1/6))) 1/2) (.f64 x (/.f64 2 y)))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 x (+.f64 y y)))
(.f64 x (.f64 (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 1/2 y)))
(.f64 x (.f64 (/.f64 1/2 y) (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (*.f64 x (/.f64 1/2 y)))
(.f64 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) -1)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 y 1/6))) (neg.f64 y)) -1)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))) -1)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 x (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))) -1)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 (neg.f64 x) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) -1)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 (/.f64 x y) (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2))) 2)
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 y 1/3) (.f64 (/.f64 1 y) 2)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 y 1/3) (*.f64 (/.f64 1 y) 2))))
(.f64 (/.f64 x (+.f64 y y)) (/.f64 2 (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(.f64 x (.f64 (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 1/2 y)))
(.f64 x (.f64 (/.f64 1/2 y) (/.f64 2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (*.f64 x (/.f64 1/2 y)))
(.f64 (/.f64 x (+.f64 (.f64 y 1/3) (.f64 (/.f64 1 y) 2))) (.f64 (/.f64 1 y) 2))
(.f64 (/.f64 1 y) (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (.f64 (/.f64 1 y) 2)))))
(.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (+.f64 y y))) 2)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) 2) 2)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 4)) (.f64 (/.f64 x y) 4))
(.f64 (.f64 4 (/.f64 x y)) (/.f64 1 (.f64 4 (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(.f64 4 (.f64 (/.f64 1/4 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 x y)))
(.f64 (.f64 4 (/.f64 x y)) (/.f64 1/4 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(.f64 4 (.f64 (/.f64 x y) (/.f64 1/4 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) 4))) (*.f64 x 4))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 -1 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 (neg.f64 x) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 -1 y) (/.f64 (neg.f64 x) (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (neg.f64 y))) (neg.f64 x))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 1 (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))) (neg.f64 x))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (/.f64 -1 (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (neg.f64 x))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (+.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (/.f64 x y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (+.f64 (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y 1/6))) y) (/.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y)) x)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(pow.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) 1)
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (neg.f64 y)))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) (neg.f64 y))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 x (.f64 y (neg.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6))))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(neg.f64 (/.f64 (neg.f64 x) (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x)
	0.3b	(*.f64 y 1/3)
✓	0.5b	(/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))
✓	9.0b	(/.f64 (.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x) y)

Compiler

Compiled 52 to 37 computations (28.8% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x)
0.0ms	x	@	-inf	(.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x)
0.0ms	x	@	inf	(.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x)
0.0ms	y	@	inf	(/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))
0.0ms	y	@	-inf	(.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x)

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`rational.json-1`
1846×	`rational.json-2`
1846×	`rational.json-3`
1570×	`rational.json-simplify-35`
902×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	93
1	87	93
2	233	93
3	708	93
4	2629	93
5	6756	93

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x) y)
(/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))
(.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x)

Outputs

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

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

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

simplify333.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1760×	`rational.json-simplify-35`
1282×	`rational.json-simplify-2`
1146×	`rational.json-simplify-51`
786×	`rational.json-simplify-41`
636×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	277	5819
1	643	5819
2	1341	5801
3	3190	5777
4	6601	5777
5	7285	5777
6	7894	5777

Stop Event

1×	node limit

Counts

155 → 178

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 1/36 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/36 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/36 (pow.f64 y 5)) (+.f64 y (*.f64 -1/216 (pow.f64 y 7)))))
(/.f64 6 y)
(-.f64 (.f64 6 (/.f64 1 y)) (.f64 36 (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (.f64 6 (/.f64 1 y))) (*.f64 36 (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (.f64 6 (/.f64 1 y))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))
(/.f64 6 y)
(-.f64 (.f64 6 (/.f64 1 y)) (.f64 36 (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (.f64 6 (/.f64 1 y))) (*.f64 36 (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (.f64 6 (/.f64 1 y))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 5) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 -1/216 (.f64 (pow.f64 y 7) x)) (+.f64 (.f64 y x) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 5) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 6 (/.f64 x y))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (.f64 6 (/.f64 x y)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 x y)) (*.f64 216 (/.f64 x (pow.f64 y 5)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 x y)) (+.f64 (.f64 -1296 (/.f64 x (pow.f64 y 7))) (.f64 216 (/.f64 x (pow.f64 y 5))))))
(*.f64 6 (/.f64 x y))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (.f64 6 (/.f64 x y)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 x y)) (*.f64 216 (/.f64 x (pow.f64 y 5)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 x y)) (+.f64 (.f64 -1296 (/.f64 x (pow.f64 y 7))) (.f64 216 (/.f64 x (pow.f64 y 5))))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(.f64 2 (/.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 1/3 y))))
(+.f64 (.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 0)
(+.f64 0 (.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(-.f64 (.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 0)
(.f64 2 (/.f64 (.f64 x (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) (.f64 y 4)))
(.f64 2 (/.f64 (.f64 x (/.f64 (/.f64 2 y) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) 2))
(.f64 2 (.f64 (/.f64 1/2 y) (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y))))))
(.f64 2 (.f64 (.f64 x (/.f64 1/2 y)) (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 2 (.f64 (/.f64 (/.f64 2 y) (+.f64 (*.f64 y 2/3) (/.f64 4 y))) x))
(.f64 2 (.f64 (.f64 x 1/2) (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 (/.f64 2 y) (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) (/.f64 x y))
(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (.f64 2 (/.f64 x (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) (/.f64 1 y))
(.f64 (.f64 x (/.f64 (/.f64 2 y) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) 1)
(.f64 1 (.f64 x (/.f64 (/.f64 2 y) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 (.f64 x (/.f64 4 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) (/.f64 1/2 y))
(.f64 (.f64 x (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) (.f64 (/.f64 1 y) 1/2))
(.f64 (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))) x)
(.f64 (.f64 (/.f64 4 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) (/.f64 x y)) 1/2)
(.f64 (.f64 x (/.f64 8 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) (/.f64 1 (.f64 y 4)))
(.f64 (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y))) (*.f64 x (/.f64 1/2 y)))
(.f64 (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y))) (.f64 (/.f64 1 y) (.f64 x 1/2)))
(.f64 (+.f64 x x) (/.f64 (/.f64 2 y) (+.f64 (.f64 y 2/3) (/.f64 4 y))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 (/.f64 x y) (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 1 y) (.f64 2 (/.f64 x (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 (.f64 x (/.f64 -2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) (/.f64 -1 y))
(.f64 -1 (/.f64 (.f64 x (/.f64 -2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) y))
(.f64 (/.f64 2 (/.f64 y x)) (/.f64 2 (+.f64 (.f64 y 2/3) (/.f64 4 y))))
(.f64 (/.f64 2 (+.f64 (.f64 y 2/3) (/.f64 4 y))) (/.f64 2 (/.f64 y x)))
(.f64 (/.f64 4 (.f64 y (+.f64 (.f64 y 1/3) (/.f64 2 y)))) (.f64 x 1/2))
(.f64 1/2 (.f64 (/.f64 4 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) (/.f64 x y)))
(.f64 (/.f64 (/.f64 2 y) (+.f64 (.f64 y 2/3) (/.f64 4 y))) (+.f64 x x))
(.f64 (.f64 x (/.f64 1/2 y)) (/.f64 4 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 1/2 y) (.f64 x (/.f64 4 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 (.f64 x 1/2) (/.f64 4 (.f64 y (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y))) (/.f64 2 y))
(.f64 (.f64 (/.f64 1 y) 1/2) (.f64 x (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 (.f64 (/.f64 1 y) (.f64 x 1/2)) (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 (.f64 x (/.f64 -2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) y) -1)
(.f64 (/.f64 (.f64 x (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) (.f64 y 4)) 2)
(.f64 (/.f64 (.f64 x (/.f64 (/.f64 2 y) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) 2) 2)
(.f64 (/.f64 1 (.f64 y 4)) (.f64 x (/.f64 8 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 (/.f64 -1 y) (.f64 x (/.f64 -2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (.f64 2 (/.f64 x (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(pow.f64 (.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 1)
(neg.f64 (/.f64 (.f64 x (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) y))
(+.f64 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) 0)
(+.f64 0 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(+.f64 -1 (-.f64 1 (/.f64 -2 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))))
(+.f64 (/.f64 2 (+.f64 (.f64 y 2/3) (/.f64 4 y))) (/.f64 2 (+.f64 (.f64 y 2/3) (/.f64 4 y))))
(-.f64 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) 0)
(-.f64 0 (/.f64 -2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(.f64 2 (/.f64 2 (+.f64 (.f64 y 2/3) (/.f64 4 y))))
(.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) 1)
(.f64 1 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y))) 1/2)
(.f64 (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) -1)
(.f64 -1 (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 2 (+.f64 (.f64 y 2/3) (/.f64 4 y))) 2)
(.f64 1/2 (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(pow.f64 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) 1)
(neg.f64 (/.f64 -2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(+.f64 (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 0)
(+.f64 0 (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(+.f64 -1 (-.f64 1 (.f64 x (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))))
(-.f64 (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 0)
(-.f64 0 (.f64 x (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(/.f64 2 (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) x))
(/.f64 2 (+.f64 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) (+.f64 x x)) (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) (+.f64 x x))))
(/.f64 x (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2))
(/.f64 (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 1)
(/.f64 1 (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) (+.f64 x x)))
(/.f64 4 (/.f64 (+.f64 (*.f64 y 2/3) (/.f64 4 y)) x))
(/.f64 4 (+.f64 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) x) (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) x)))
(/.f64 (.f64 x (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 2)
(/.f64 (.f64 x (/.f64 8 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 4)
(/.f64 8 (+.f64 (/.f64 (+.f64 (.f64 y 2/3) (/.f64 4 y)) x) (/.f64 (+.f64 (.f64 y 2/3) (/.f64 4 y)) x)))
(/.f64 (+.f64 x x) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))
(/.f64 (.f64 x (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) -1)
(/.f64 -1 (-.f64 0 (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) (+.f64 x x))))
(/.f64 (.f64 (.f64 x (/.f64 4 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) 4) 8)
(/.f64 (.f64 x 4) (+.f64 (.f64 y 2/3) (/.f64 4 y)))
(/.f64 (.f64 x 4) (.f64 4 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)))
(/.f64 (neg.f64 (.f64 x (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y))))) -2)
(/.f64 (neg.f64 x) (neg.f64 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)))
(/.f64 (.f64 2 (neg.f64 x)) (+.f64 (neg.f64 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)) (neg.f64 (.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 1/2))))
(/.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 4 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)) (.f64 4 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2))))
(/.f64 (.f64 2 (.f64 (.f64 x (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 4)) 16)
(/.f64 (/.f64 x (+.f64 (*.f64 y 1/3) (/.f64 2 y))) 1/2)
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(/.f64 (neg.f64 (neg.f64 x)) (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2))
(/.f64 (+.f64 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y))) (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 1)
(pow.f64 (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 1)
(neg.f64 (.f64 x (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))

Outputs
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 x (.f64 -1/6 (.f64 x (pow.f64 y 2))))
(+.f64 x (.f64 x (.f64 (pow.f64 y 2) -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 1/36 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (+.f64 x (.f64 1/36 (.f64 x (pow.f64 y 4)))))
(+.f64 x (+.f64 (.f64 x (.f64 1/36 (pow.f64 y 4))) (.f64 x (.f64 (pow.f64 y 2) -1/6))))
(+.f64 x (+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 2))) (.f64 x (.f64 1/36 (pow.f64 y 4)))))
(+.f64 x (.f64 x (+.f64 (.f64 1/36 (pow.f64 y 4)) (*.f64 -1/6 (pow.f64 y 2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (+.f64 (+.f64 x (.f64 1/36 (.f64 x (pow.f64 y 4)))) (.f64 -1/216 (.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 x (.f64 (pow.f64 y 2) -1/6)) (+.f64 x (+.f64 (.f64 x (.f64 -1/216 (pow.f64 y 6))) (.f64 x (.f64 1/36 (pow.f64 y 4))))))
(+.f64 (.f64 x (.f64 -1/6 (pow.f64 y 2))) (+.f64 (.f64 x (.f64 1/36 (pow.f64 y 4))) (+.f64 x (.f64 -1/216 (.f64 x (pow.f64 y 6))))))
(+.f64 (+.f64 x (.f64 x (+.f64 (.f64 1/36 (pow.f64 y 4)) (.f64 -1/6 (pow.f64 y 2))))) (.f64 -1/216 (*.f64 x (pow.f64 y 6))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (.f64 -36 (/.f64 x (pow.f64 y 4))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 -36 (/.f64 x (pow.f64 y 4)))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8)))) (.f64 -36 (/.f64 x (pow.f64 y 4)))))
(+.f64 (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8)))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (.f64 -36 (/.f64 x (pow.f64 y 4)))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (+.f64 (.f64 -1296 (/.f64 x (pow.f64 y 8))) (.f64 -36 (/.f64 x (pow.f64 y 4))))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (.f64 -36 (/.f64 x (pow.f64 y 4))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 -36 (/.f64 x (pow.f64 y 4)))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8)))) (.f64 -36 (/.f64 x (pow.f64 y 4)))))
(+.f64 (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8)))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (.f64 -36 (/.f64 x (pow.f64 y 4)))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (+.f64 (.f64 -1296 (/.f64 x (pow.f64 y 8))) (.f64 -36 (/.f64 x (pow.f64 y 4))))))
(+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y)))))
(.f64 2 (/.f64 x (.f64 y (+.f64 (.f64 2 (/.f64 1 y)) (.f64 y 1/3)))))
(.f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 y)) (*.f64 y 1/3))))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/36 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/36 (pow.f64 y 5))))
(+.f64 y (+.f64 (.f64 1/36 (pow.f64 y 5)) (.f64 -1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/36 (pow.f64 y 5))))
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(/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(-.f64 0 (/.f64 -2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 2 (/.f64 2 (+.f64 (.f64 y 2/3) (/.f64 4 y))))
(.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) 1)
(/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 1 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y))) 1/2)
(.f64 (/.f64 4 (+.f64 (/.f64 2 y) (.f64 y 1/3))) 1/2)
(.f64 (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) -1)
(/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 -1 (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(.f64 (/.f64 2 (+.f64 (.f64 y 2/3) (/.f64 4 y))) 2)
(.f64 2 (/.f64 2 (+.f64 (.f64 y 2/3) (/.f64 4 y))))
(.f64 1/2 (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(.f64 (/.f64 4 (+.f64 (/.f64 2 y) (.f64 y 1/3))) 1/2)
(pow.f64 (/.f64 2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))) 1)
(/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(neg.f64 (/.f64 -2 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3)))
(+.f64 (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 0)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(+.f64 0 (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(+.f64 -1 (-.f64 1 (.f64 x (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(-.f64 (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 0)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(-.f64 0 (.f64 x (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 2 (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) x))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 2 (+.f64 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) (+.f64 x x)) (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) (+.f64 x x))))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 x (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 1)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) (+.f64 x x)))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 4 (/.f64 (+.f64 (*.f64 y 2/3) (/.f64 4 y)) x))
(/.f64 x (/.f64 (+.f64 (*.f64 y 2/3) (/.f64 4 y)) 4))
(/.f64 (.f64 x 4) (+.f64 (.f64 y 2/3) (/.f64 4 y)))
(/.f64 4 (+.f64 (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) x) (/.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) x)))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (.f64 x (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 2)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (.f64 x (/.f64 8 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 4)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 8 (+.f64 (/.f64 (+.f64 (.f64 y 2/3) (/.f64 4 y)) x) (/.f64 (+.f64 (.f64 y 2/3) (/.f64 4 y)) x)))
(/.f64 4 (/.f64 (+.f64 (*.f64 y 2/3) (/.f64 4 y)) x))
(/.f64 x (/.f64 (+.f64 (*.f64 y 2/3) (/.f64 4 y)) 4))
(/.f64 (.f64 x 4) (+.f64 (.f64 y 2/3) (/.f64 4 y)))
(/.f64 (+.f64 x x) (+.f64 (*.f64 y 1/3) (/.f64 2 y)))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (.f64 x (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) -1)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 -1 (-.f64 0 (/.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) (+.f64 x x))))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (.f64 (.f64 x (/.f64 4 (+.f64 (*.f64 y 1/3) (/.f64 2 y)))) 4) 8)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (.f64 x 4) (+.f64 (.f64 y 2/3) (/.f64 4 y)))
(/.f64 4 (/.f64 (+.f64 (*.f64 y 2/3) (/.f64 4 y)) x))
(/.f64 x (/.f64 (+.f64 (*.f64 y 2/3) (/.f64 4 y)) 4))
(/.f64 (.f64 x 4) (.f64 4 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (neg.f64 (.f64 x (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y))))) -2)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (neg.f64 x) (neg.f64 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (.f64 2 (neg.f64 x)) (+.f64 (neg.f64 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)) (neg.f64 (.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y)) 1/2))))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 4 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2)) (.f64 4 (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2))))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (.f64 2 (.f64 (.f64 x (/.f64 4 (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 4)) 16)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (/.f64 x (+.f64 (*.f64 y 1/3) (/.f64 2 y))) 1/2)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (*.f64 y 1/3) (/.f64 2 y))))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (neg.f64 (neg.f64 x)) (.f64 (+.f64 (.f64 y 1/3) (/.f64 2 y)) 1/2))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(/.f64 (+.f64 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y))) (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 1)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(pow.f64 (.f64 2 (/.f64 x (+.f64 (.f64 y 1/3) (/.f64 2 y)))) 1)
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))
(neg.f64 (.f64 x (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y)))))
(.f64 2 (/.f64 x (+.f64 (/.f64 2 y) (.f64 y 1/3))))

eval427.0ms (4.2%)

Compiler: Compiled 13805 to 8920 computations (35.4% saved)

prune351.0ms (3.4%)

Pruning

29 alts after pruning (18 fresh and 11 done)

	Pruned	Kept	Total
New	925	14	939
Fresh	5	4	9
Picked	0	1	1
Done	3	10	13
Total	933	29	962

Error

Counts

962 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	21.6b	(/.f64 (/.f64 (/.f64 4 y) (+.f64 (/.f64 2 y) (*.f64 y 1/3))) (/.f64 2 x))
✓	30.3b	(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (*.f64 y 1/6))) y)
	30.7b	(/.f64 (/.f64 4 (/.f64 (+.f64 (*.f64 y 2/3) (/.f64 4 y)) x)) y)
	43.6b	(/.f64 (+.f64 -1 (-.f64 1 (/.f64 x (neg.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))) y)
	52.9b	(/.f64 (*.f64 (/.f64 6 y) x) y)
✓	30.3b	(/.f64 (.f64 (/.f64 2 (+.f64 (.f64 y 1/3) (/.f64 2 y))) x) y)
	51.8b	(/.f64 (.f64 (+.f64 -1 (-.f64 1 (/.f64 -2 (+.f64 (.f64 y 1/3) (/.f64 2 y))))) x) y)
✓	9.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
	52.9b	(/.f64 (*.f64 6 (/.f64 x y)) y)
	29.1b	(/.f64 y (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.4b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
	21.6b	(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) y))
	30.7b	(/.f64 4 (.f64 y (/.f64 (+.f64 (/.f64 4 y) (.f64 y 2/3)) x)))
	21.6b	(/.f64 2 (/.f64 (.f64 y (+.f64 (/.f64 2 y) (.f64 y 1/3))) x))
	30.3b	(/.f64 2 (/.f64 2 x))
	37.4b	(+.f64 (-.f64 x -1) -1)
	44.2b	(.f64 (/.f64 y (/.f64 (/.f64 y (/.f64 x (.f64 y y))) y)) y)
✓	29.8b	(*.f64 (/.f64 x y) y)
	29.1b	(.f64 (/.f64 2 (/.f64 y x)) (/.f64 2 (+.f64 (.f64 y 2/3) (/.f64 4 y))))
	42.5b	(.f64 (.f64 (/.f64 x (*.f64 y y)) y) y)
✓	7.7b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	8.0b	(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 -1 y) x))
	37.7b	(.f64 x (/.f64 (/.f64 2 y) (/.f64 (/.f64 4 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y 1/3))) (/.f64 2 (+.f64 (/.f64 2 y) (*.f64 y 1/3)))))))
✓	21.5b	(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	21.6b	(.f64 x (/.f64 4 (.f64 y (+.f64 (/.f64 4 y) (*.f64 y 2/3)))))
✓	0.5b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
	30.2b	x

Compiler

Compiled 362 to 258 computations (28.7% saved)

regimes177.0ms (1.7%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

4 calls:

83.0ms	x
49.0ms	(/.f64 (sin.f64 y) y)
17.0ms	y
17.0ms	(*.f64 x (/.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 443 to 275 computations (37.9% saved)

regimes66.0ms (0.6%)

Counts

33 → 1

Calls

Call 1

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

16.0ms	x
15.0ms	y
14.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
13.0ms	(/.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 378 to 242 computations (36% saved)

regimes39.0ms (0.4%)

Counts

31 → 1

Calls

Call 1

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

Outputs
(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))

Calls

2 calls:

16.0ms	x
15.0ms	y

Results

Error	Segments	Branch
21.5b	1	`x`
21.5b	1	`y`

Compiler

Compiled 352 to 229 computations (34.9% saved)

regimes21.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
21.6b	1	`x`
21.6b	1	`y`

Compiler

Compiled 148 to 87 computations (41.2% saved)

regimes48.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	y
19.0ms	x

Results

Error	Segments	Branch
21.8b	3	`x`
21.4b	3	`y`

Compiler

Compiled 89 to 49 computations (44.9% saved)

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	5.370910387055176e-7	32110954.021256085
22.0ms	-26357366.990712464	-0.000955854194545869

Results

43.0ms

320×

body

256

valid

Compiler

Compiled 293 to 209 computations (28.7% saved)

regimes28.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	y
13.0ms	x

Results

Error	Segments	Branch
21.8b	3	`x`
21.6b	3	`y`

Compiler

Compiled 40 to 25 computations (37.5% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.2354143737595408e+44	4.6685228604832915e+50
15.0ms	-1.462915515369037e+35	-1.373245198171161e+33

Results

36.0ms

256×

body

256

valid

Compiler

Compiled 205 to 169 computations (17.6% saved)

regimes17.0ms (0.2%)

Accuracy

Total -15.5b remaining (-69.5%)

Threshold costs -15.5b (-69.5%)

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
22.3b	3	`x`
22.3b	3	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch21.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	6.33245540368792e-26	8.00263483899041e-26
15.0ms	-6.795966223879055e+65	-3.2548733029478103e+55

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 121 to 81 computations (33.1% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	250

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) y))
(if (<=.f64 y -2758454771764429/1125899906842624) (/.f64 (.f64 6 (/.f64 x y)) y) (if (<=.f64 y 5/2) x (/.f64 (.f64 6 (/.f64 x y)) y)))
(if (<=.f64 y -1699999999999999965123967908315136) (+.f64 (-.f64 x -1) -1) (if (<=.f64 y 140000000000000004427089716002557937628217344) x (+.f64 (-.f64 x -1) -1)))
(if (<=.f64 y -50000000000000004595141754071689119042017229857842266112) (.f64 (/.f64 x y) y) (if (<=.f64 y 1742245718635205/21778071482940061661655974875633165533184) x (.f64 (/.f64 x y) y)))
x

Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 (/.f64 2 y) (+.f64 (.f64 y 1/3) (/.f64 2 y))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) y))
(if (<=.f64 y -2758454771764429/1125899906842624) (/.f64 (.f64 6 (/.f64 x y)) y) (if (<=.f64 y 5/2) x (/.f64 (.f64 6 (/.f64 x y)) y)))
(if (<=.f64 y -1699999999999999965123967908315136) (+.f64 (-.f64 x -1) -1) (if (<=.f64 y 140000000000000004427089716002557937628217344) x (+.f64 (-.f64 x -1) -1)))
(if (<=.f64 y -50000000000000004595141754071689119042017229857842266112) (.f64 (/.f64 x y) y) (if (<=.f64 y 1742245718635205/21778071482940061661655974875633165533184) x (.f64 (/.f64 x y) y)))
x

Compiler

Compiled 114 to 73 computations (36% saved)

soundness0.0ms (0%)

end262.0ms (2.6%)

Compiler: Compiled 100 to 57 computations (43% saved)