Details

analyze153.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	8
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	9
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	10
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	11
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.7s (34%)

Results

2.3s	5297×	body	256	valid
826.0ms	2026×	body	1024	infinite
804.0ms	2007×	body	1024	valid
295.0ms	1991×	body	256	infinite
218.0ms	1038×	body	512	infinite
199.0ms	945×	body	512	valid
6.0ms	7×	body	2048	valid
1.0ms	3×	body	2048	infinite

Bogosity

preprocess149.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1058×	`rational.json-simplify-2`
1044×	`rational.json-simplify-35`
788×	`rational.json-simplify-48`
712×	`rational.json-simplify-26`
680×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	25	42
2	43	42
3	73	42
4	141	42
5	295	42
6	795	42
7	1865	42
8	3547	42
9	4378	42
10	5139	42
11	7335	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify508.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

3456×	`rational.json-simplify-42`
2332×	`rational.json-simplify-35`
1712×	`rational.json-simplify-2`
1550×	`rational.json-simplify-1`
1436×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	15	21
2	25	21
3	42	21
4	81	21
5	166	21
6	405	21
7	1094	21
8	1773	21
9	2465	21
10	2872	21
11	3658	21
12	4057	21
13	4273	21
14	4432	21
15	4556	21
16	4682	21
17	6110	21
18	6334	21
19	6513	21
20	6641	21
21	6758	21
22	6758	21
23	7258	21
24	7306	21
25	7484	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% 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

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.0b	(sinh.f64 y)

Compiler

Compiled 19 to 6 computations (68.4% saved)

series9.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	x	@	inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	y	@	inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	y	@	inf	(sinh.f64 y)
1.0ms	x	@	0	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`rational.json-1`
1768×	`rational.json-2`
1768×	`rational.json-4`
1768×	`rational.json-3`
1760×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	62	37
2	158	37
3	394	37
4	1024	37
5	4627	37

Stop Event

1×	node limit

Counts

3 → 225

Calls

Call 1

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

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

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

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

simplify150.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1790×	`rational.json-simplify-35`
1650×	`rational.json-simplify-49`
1186×	`rational.json-simplify-44`
1018×	`rational.json-simplify-47`
888×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	6605
1	1767	6529
2	7800	6529

Stop Event

1×	node limit

Counts

273 → 304

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (sinh.f64 y) 0)
(+.f64 0 (sinh.f64 y))
(+.f64 -1 (-.f64 1 (neg.f64 (sinh.f64 y))))
(-.f64 (sinh.f64 y) 0)
(-.f64 0 (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) 1)
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(.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (.f64 2 (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y))))))
(.f64 (/.f64 2 (.f64 y 8)) (*.f64 (sinh.f64 y) 4))
(*.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y)))
(.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 (neg.f64 y) (.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y)))))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))

Outputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (*.f64 1/5040 (pow.f64 y 7))))
(+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (+.f64 (.f64 1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5))))
(+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/4 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 x 2) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 1/48 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 4) y))) (.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 2) y)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 -1/4 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 2) y))) (.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 4) y)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 x 2) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 1/48 (.f64 (pow.f64 x 4) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))) (.f64 -1/1440 (*.f64 (pow.f64 x 6) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 2) y))) (+.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 1/48 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 4) y)))) (.f64 -1/1440 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 6) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 (pow.f64 y 4) (.f64 (cos.f64 x) 1/120))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 1/5040 (pow.f64 y 6)))) (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 (cos.f64 x) (.f64 1/5040 (pow.f64 y 6)))) (.f64 (pow.f64 y 4) (.f64 (cos.f64 x) 1/120))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 y 4) (.f64 (cos.f64 x) 1/120)) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 (cos.f64 x) (.f64 1/5040 (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (/.f64 (cos.f64 x) y)))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 1/120 (pow.f64 y 4)) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(+.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (.f64 1/120 (pow.f64 y 4)))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(+.f64 0 (sinh.f64 y))
(sinh.f64 y)
(+.f64 -1 (-.f64 1 (neg.f64 (sinh.f64 y))))
(sinh.f64 y)
(-.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(-.f64 0 (neg.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(*.f64 1 (sinh.f64 y))
(sinh.f64 y)
(.f64 (.f64 (sinh.f64 y) 2) 1/2)
(sinh.f64 y)
(*.f64 -1 (neg.f64 (sinh.f64 y)))
(sinh.f64 y)
(.f64 2 (.f64 (sinh.f64 y) 1/2))
(sinh.f64 y)
(.f64 (.f64 (sinh.f64 y) 4) 1/4)
(sinh.f64 y)
(*.f64 (neg.f64 (sinh.f64 y)) -1)
(sinh.f64 y)
(*.f64 4 (/.f64 (sinh.f64 y) 4))
(sinh.f64 y)
(.f64 (.f64 (sinh.f64 y) 8) 1/8)
(sinh.f64 y)
(.f64 1/2 (.f64 (sinh.f64 y) 2))
(sinh.f64 y)
(.f64 (.f64 (sinh.f64 y) -2) -1/2)
(sinh.f64 y)
(.f64 (.f64 (sinh.f64 y) 1/2) 2)
(sinh.f64 y)
(.f64 1/4 (.f64 (sinh.f64 y) 4))
(sinh.f64 y)
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 4) 4)
(sinh.f64 y)
(/.f64 (neg.f64 (sinh.f64 y)) -1)
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 8) 8)
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) -2) -2)
(sinh.f64 y)
(/.f64 (.f64 2 (.f64 (sinh.f64 y) 8)) 16)
(sinh.f64 y)
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) -4)
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) 2)
(sinh.f64 y)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) -1) 4)
(sinh.f64 y)
(pow.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(neg.f64 (neg.f64 (sinh.f64 y)))
(sinh.f64 y)
(+.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(+.f64 0 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(-.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (*.f64 (/.f64 y (cos.f64 x)) 1))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (*.f64 -1 (/.f64 y (neg.f64 (cos.f64 x)))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (cos.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (/.f64 (sinh.f64 y) y) (*.f64 (/.f64 1 (cos.f64 x)) 1))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
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(.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (.f64 (sinh.f64 y) (sinh.f64 y)) (/.f64 y (/.f64 y y))))
(.f64 (.f64 (sinh.f64 y) -2) (/.f64 1/2 (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 (sinh.f64 y) -2) (/.f64 1 (*.f64 y -2)))
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 (sinh.f64 y) -2) (/.f64 1 (neg.f64 (+.f64 y y))))
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (sinh.f64 y) 1/2))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) -1)
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 (+.f64 y y) (.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y)))))
(.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 (+.f64 y y) (.f64 y (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y))))))
(.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 (.f64 (sinh.f64 y) (sinh.f64 y)) (/.f64 y (/.f64 (+.f64 y y) y))))
(.f64 (.f64 (sinh.f64 y) (/.f64 1/2 y)) 2)
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 y (/.f64 1/2 (sinh.f64 y))) (/.f64 2 (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y)))))
(.f64 (.f64 y (/.f64 1/2 (sinh.f64 y))) (/.f64 (/.f64 2 y) (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y)))))
(.f64 y (.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 (/.f64 2 y) (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y))))))
(.f64 (/.f64 2 y) (.f64 (sinh.f64 y) 1/2))
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 (sinh.f64 y) 1/2) (/.f64 2 y))
(/.f64 (sinh.f64 y) y)
(.f64 1/4 (.f64 (/.f64 (sinh.f64 y) y) 4))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (.f64 2 (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y))))))
(.f64 y (/.f64 (/.f64 1 (sinh.f64 y)) (.f64 y (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y))))))
(.f64 y (/.f64 (/.f64 (.f64 (sinh.f64 y) (sinh.f64 y)) (/.f64 y (/.f64 1 y))) (sinh.f64 y)))
(.f64 (/.f64 2 (.f64 y 8)) (*.f64 (sinh.f64 y) 4))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 (neg.f64 y) (.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y)))))
(.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 (neg.f64 y) (.f64 y (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y))))))
(.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 (.f64 (sinh.f64 y) (sinh.f64 y)) (/.f64 y (/.f64 y (neg.f64 y)))))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (sinh.f64 y) y)

eval70.0ms (0.5%)

Compiler: Compiled 4481 to 2067 computations (53.9% saved)

prune50.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	300	4	304
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	300	5	305

Error

Counts

305 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
▶	0.1b	(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
▶	0.1b	(/.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x)))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	1.3b	(cos.f64 x)

Compiler

Compiled 45 to 32 computations (28.9% saved)

localize3.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 y) (sinh.f64 y))
	0.0b	(sinh.f64 y)
✓	0.1b	(/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x))
✓	0.2b	(/.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x)))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x))
1.0ms	x	@	0	(/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x))
1.0ms	x	@	inf	(/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x))
1.0ms	y	@	inf	(/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x))
1.0ms	y	@	0	(/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x))

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`rational.json-1`
1706×	`rational.json-2`
1706×	`rational.json-3`
1016×	`exponential.json-3`
1016×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	98	69
2	331	61
3	1339	61
4	3744	61
5	7038	61

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(/.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x))
(/.f64 (neg.f64 y) (sinh.f64 y))

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

Outputs

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

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

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

simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1402×	`rational.json-simplify-51`
1016×	`rational.json-simplify-2`
1006×	`rational.json-simplify-35`
938×	`rational.json-simplify-53`
888×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	244	5821
1	490	5195
2	1001	4943
3	2029	4631
4	4952	4471

Stop Event

1×	node limit

Counts

149 → 187

Calls

Call 1

Inputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 -1 (cos.f64 x))
(-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (cos.f64 x))) (/.f64 1 (cos.f64 x)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) (cos.f64 x))) (.f64 -7/360 (/.f64 (pow.f64 y 4) (cos.f64 x)))) (/.f64 1 (cos.f64 x)))
(-.f64 (+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) (cos.f64 x))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) (cos.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (cos.f64 x))))) (/.f64 1 (cos.f64 x)))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(+.f64 (.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 (.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 4)) (.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(+.f64 (.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 4)) (+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 (+.f64 (.f64 -1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/24 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/2 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))) (pow.f64 x 6)))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 -2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
-1
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 y 4)) (+.f64 (.f64 31/15120 (pow.f64 y 6)) (*.f64 1/6 (pow.f64 y 2)))) 1)
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (neg.f64 y)))))
(+.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 0)
(+.f64 0 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(-.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 0)
(-.f64 0 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (neg.f64 y))))
(.f64 -1 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (neg.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(.f64 1 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(.f64 (.f64 (cos.f64 x) 2) (/.f64 1/2 (/.f64 y (sinh.f64 y))))
(.f64 (.f64 (cos.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))
(.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 y (sinh.f64 y))) (cos.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (neg.f64 y))) -1)
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(.f64 (/.f64 1/2 (/.f64 y (sinh.f64 y))) (.f64 (cos.f64 x) 2))
(.f64 (/.f64 1 y) (.f64 (sinh.f64 y) (cos.f64 x)))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (cos.f64 x) 2))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 y (sinh.f64 y))) (/.f64 1/2 (/.f64 y (sinh.f64 y)))) (cos.f64 x))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (neg.f64 y))))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))))
(+.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))) 0)
(+.f64 0 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))))
(+.f64 (-.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) -1)
(-.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))) 0)
(-.f64 0 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 -1 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))))
(*.f64 y (/.f64 (/.f64 -1 (cos.f64 x)) (sinh.f64 y)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 1 (cos.f64 x)) (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 1 (cos.f64 x)))
(.f64 (/.f64 (neg.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))) 1)
(.f64 1 (/.f64 (neg.f64 y) (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 (/.f64 (/.f64 (.f64 y -2) (cos.f64 x)) (sinh.f64 y)) 1/2)
(.f64 (/.f64 (.f64 y -2) (sinh.f64 y)) (/.f64 1/2 (cos.f64 x)))
(.f64 (/.f64 (.f64 y -2) (sinh.f64 y)) (*.f64 (/.f64 1 (cos.f64 x)) 1/2))
(.f64 (.f64 y -2) (/.f64 (/.f64 1/2 (cos.f64 x)) (sinh.f64 y)))
(.f64 (.f64 y -2) (*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (sinh.f64 y)) 1/2))
(*.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (sinh.f64 y)) (/.f64 -1 (cos.f64 x)))
(.f64 2 (.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y))))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (cos.f64 x)) (sinh.f64 y)) (neg.f64 y)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (sinh.f64 y)) (neg.f64 y))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (neg.f64 y) (cos.f64 x)))
(*.f64 (/.f64 y (cos.f64 x)) (/.f64 -1 (sinh.f64 y)))
(.f64 (/.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) -1)
(*.f64 (/.f64 (/.f64 -1 (cos.f64 x)) (sinh.f64 y)) y)
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 y (sinh.f64 y)))
(.f64 1/2 (/.f64 (/.f64 (.f64 y -2) (cos.f64 x)) (sinh.f64 y)))
(.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (.f64 y -2) (sinh.f64 y)))
(.f64 (/.f64 (/.f64 1/2 (cos.f64 x)) (sinh.f64 y)) (.f64 y -2))
(*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (cos.f64 x)) 1/2) (/.f64 (*.f64 y -2) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 x)) (sinh.f64 y)) 1/2) (*.f64 y -2))
(*.f64 (+.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 1/2 (sinh.f64 y))) (/.f64 (neg.f64 y) (cos.f64 x)))
(*.f64 (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 y) (sinh.f64 y)))
(*.f64 (+.f64 (/.f64 (/.f64 1/2 (cos.f64 x)) (sinh.f64 y)) (/.f64 (/.f64 1/2 (cos.f64 x)) (sinh.f64 y))) (neg.f64 y))
(pow.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))) 1)
(neg.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(+.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0)
(+.f64 0 (/.f64 (neg.f64 y) (sinh.f64 y)))
(+.f64 (-.f64 1 (/.f64 y (sinh.f64 y))) -1)
(-.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0)
(-.f64 0 (/.f64 y (sinh.f64 y)))
(*.f64 -1 (/.f64 y (sinh.f64 y)))
(*.f64 y (/.f64 -1 (sinh.f64 y)))
(*.f64 (neg.f64 y) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)
(*.f64 1 (/.f64 (neg.f64 y) (sinh.f64 y)))
(.f64 (/.f64 (.f64 y -2) (sinh.f64 y)) 1/2)
(.f64 (.f64 y -2) (/.f64 1/2 (sinh.f64 y)))
(.f64 (.f64 y -2) (neg.f64 (neg.f64 (/.f64 1/2 (sinh.f64 y)))))
(.f64 (.f64 y -2) (*.f64 (/.f64 1 (sinh.f64 y)) 1/2))
(*.f64 (/.f64 y (sinh.f64 y)) -1)
(.f64 2 (.f64 (/.f64 1/2 (sinh.f64 y)) (neg.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))
(.f64 1/2 (/.f64 (.f64 y -2) (sinh.f64 y)))
(*.f64 (/.f64 -1 (sinh.f64 y)) y)
(.f64 (/.f64 1/2 (sinh.f64 y)) (.f64 y -2))
(.f64 (neg.f64 (neg.f64 (/.f64 1/2 (sinh.f64 y)))) (.f64 y -2))
(.f64 (.f64 (/.f64 1 (sinh.f64 y)) 1/2) (*.f64 y -2))
(*.f64 (+.f64 (neg.f64 (/.f64 1/2 (sinh.f64 y))) (neg.f64 (/.f64 1/2 (sinh.f64 y)))) y)
(*.f64 (+.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 1/2 (sinh.f64 y))) (neg.f64 y))
(pow.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)
(neg.f64 (/.f64 y (sinh.f64 y)))

Outputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6)))
(.f64 (cos.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 2)) 1))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (pow.f64 y 4) 1/120))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 4))) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) 1))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 4) 1/120)) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 4))) (.f64 (cos.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (*.f64 1/6 (pow.f64 y 2))))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/5040 (pow.f64 y 6))))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (.f64 1/120 (pow.f64 y 4))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/4 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 2) y) -1/4)))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 x 2) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 -1/4 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 2) y))) (.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 4) y)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (pow.f64 x 2) y) -1/4)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 4) y) 1/48))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/4 (/.f64 (pow.f64 x 2) y))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 1/48 (pow.f64 x 4)))))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 x 2) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 1/48 (.f64 (pow.f64 x 4) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))) (.f64 -1/1440 (*.f64 (pow.f64 x 6) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 2) y))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6))) (.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 4) y))))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (pow.f64 x 4) y) 1/48)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (pow.f64 x 6) y) -1/1440))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 2) y) -1/4))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/4 (/.f64 (pow.f64 x 2) y))) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/48 (/.f64 (pow.f64 x 4) y))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 -1/1440 (pow.f64 x 6))))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/4 (/.f64 (pow.f64 x 2) y))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 -1/1440 (pow.f64 x 6)) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
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(*.f64 (/.f64 (/.f64 -1 (cos.f64 x)) (sinh.f64 y)) y)
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 y (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(.f64 1/2 (/.f64 (/.f64 (.f64 y -2) (cos.f64 x)) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (.f64 y -2) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 (/.f64 1/2 (cos.f64 x)) (sinh.f64 y)) (.f64 y -2))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (cos.f64 x)) 1/2) (/.f64 (*.f64 y -2) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 x)) (sinh.f64 y)) 1/2) (*.f64 y -2))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(*.f64 (+.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 1/2 (sinh.f64 y))) (/.f64 (neg.f64 y) (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(*.f64 (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 y) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(*.f64 (+.f64 (/.f64 (/.f64 1/2 (cos.f64 x)) (sinh.f64 y)) (/.f64 (/.f64 1/2 (cos.f64 x)) (sinh.f64 y))) (neg.f64 y))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(pow.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (cos.f64 x))) 1)
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(neg.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (/.f64 (neg.f64 y) (cos.f64 x)) (sinh.f64 y))
(/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(+.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(+.f64 0 (/.f64 (neg.f64 y) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(+.f64 (-.f64 1 (/.f64 y (sinh.f64 y))) -1)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(-.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(-.f64 0 (/.f64 y (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 -1 (/.f64 y (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 y (/.f64 -1 (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (neg.f64 y) (/.f64 1 (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 1 (/.f64 (neg.f64 y) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(.f64 (/.f64 (.f64 y -2) (sinh.f64 y)) 1/2)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(.f64 (.f64 y -2) (/.f64 1/2 (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(.f64 (.f64 y -2) (neg.f64 (neg.f64 (/.f64 1/2 (sinh.f64 y)))))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(.f64 (.f64 y -2) (*.f64 (/.f64 1 (sinh.f64 y)) 1/2))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 y (sinh.f64 y)) -1)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(.f64 2 (.f64 (/.f64 1/2 (sinh.f64 y)) (neg.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(.f64 1/2 (/.f64 (.f64 y -2) (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 -1 (sinh.f64 y)) y)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(.f64 (/.f64 1/2 (sinh.f64 y)) (.f64 y -2))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(.f64 (neg.f64 (neg.f64 (/.f64 1/2 (sinh.f64 y)))) (.f64 y -2))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 1 (sinh.f64 y)) 1/2) (*.f64 y -2))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (+.f64 (neg.f64 (/.f64 1/2 (sinh.f64 y))) (neg.f64 (/.f64 1/2 (sinh.f64 y)))) y)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(*.f64 (+.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 1/2 (sinh.f64 y))) (neg.f64 y))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(pow.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))
(neg.f64 (/.f64 y (sinh.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))
(/.f64 (neg.f64 y) (sinh.f64 y))
(/.f64 y (neg.f64 (sinh.f64 y)))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(/.f64 y (cos.f64 x))
✓	0.1b	(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`rational.json-1`
1690×	`rational.json-2`
1690×	`rational.json-4`
1690×	`rational.json-3`
1666×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	66	32
2	204	32
3	644	32
4	2297	32
5	6124	32

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 y (cos.f64 x))

Outputs

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

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

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1074×	`rational.json-simplify-2`
924×	`rational.json-simplify-41`
760×	`rational.json-simplify-39`
662×	`rational.json-simplify-1`
660×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2935
1	449	2869
2	1005	2811
3	2915	2667
4	4992	2667
5	6763	2667

Stop Event

1×	node limit

Counts

107 → 137

Calls

Call 1

Inputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
y
(+.f64 (.f64 1/2 (.f64 y (pow.f64 x 2))) y)
(+.f64 (.f64 1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) y))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 y) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 y) (.f64 -1/4 y))) (.f64 1/48 y))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) y)))
(+.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 0)
(+.f64 0 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(+.f64 (/.f64 (sinh.f64 y) (.f64 (/.f64 y (cos.f64 x)) 2)) (/.f64 (sinh.f64 y) (.f64 (/.f64 y (cos.f64 x)) 2)))
(-.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(.f64 1 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 (/.f64 (cos.f64 x) y) 2))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) 2) (/.f64 (sinh.f64 y) (+.f64 y y)))
(*.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (cos.f64 x)))))
(.f64 2 (/.f64 (sinh.f64 y) (.f64 (/.f64 y (cos.f64 x)) 2)))
(.f64 2 (/.f64 (cos.f64 x) (.f64 y (/.f64 2 (sinh.f64 y)))))
(.f64 2 (/.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2))
(.f64 2 (.f64 (/.f64 (sinh.f64 y) (+.f64 y y)) (cos.f64 x)))
(.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 x) y) 2) (sinh.f64 y)))
(.f64 (.f64 (cos.f64 x) 4) (/.f64 1 (/.f64 (*.f64 y 4) (sinh.f64 y))))
(.f64 (.f64 (sinh.f64 y) (*.f64 (cos.f64 x) (/.f64 2 y))) 1/2)
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (cos.f64 x)) 4)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (/.f64 y (sinh.f64 y))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 y) (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (cos.f64 x))))
(.f64 (/.f64 (/.f64 (cos.f64 x) y) 2) (.f64 (sinh.f64 y) 2))
(.f64 1/2 (.f64 (sinh.f64 y) (*.f64 (cos.f64 x) (/.f64 2 y))))
(.f64 (/.f64 (sinh.f64 y) (+.f64 y y)) (.f64 (cos.f64 x) 2))
(.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (cos.f64 x)))) -1)
(*.f64 (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 (cos.f64 x))) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (sinh.f64 y) (.f64 (/.f64 y (cos.f64 x)) 2)) 2)
(.f64 (/.f64 (cos.f64 x) (.f64 y (/.f64 2 (sinh.f64 y)))) 2)
(.f64 (/.f64 1 (/.f64 (.f64 y 4) (sinh.f64 y))) (*.f64 (cos.f64 x) 4))
(.f64 (/.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y (cos.f64 x)) 4)) (*.f64 (sinh.f64 y) 4))
(*.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 -1 (/.f64 y (cos.f64 x))) (neg.f64 (sinh.f64 y)))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (cos.f64 x)))))
(+.f64 (/.f64 y (cos.f64 x)) 0)
(+.f64 0 (/.f64 y (cos.f64 x)))
(+.f64 (/.f64 y (.f64 (cos.f64 x) 2)) (/.f64 y (.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 y (cos.f64 x)) 0)
(-.f64 0 (/.f64 y (neg.f64 (cos.f64 x))))
(*.f64 y (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 y (cos.f64 x)) 1)
(*.f64 1 (/.f64 y (cos.f64 x)))
(.f64 (.f64 (/.f64 y (cos.f64 x)) 2) 1/2)
(*.f64 (+.f64 y y) (/.f64 1/2 (cos.f64 x)))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (cos.f64 x)) 1/2))
(*.f64 -1 (/.f64 y (neg.f64 (cos.f64 x))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) 2)))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) 2))
(.f64 2 (.f64 (/.f64 1/2 (cos.f64 x)) y))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (cos.f64 x) 4)))
(.f64 (.f64 (/.f64 y (cos.f64 x)) 4) 1/4)
(*.f64 (/.f64 1 (cos.f64 x)) y)
(*.f64 (neg.f64 y) (/.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 y (neg.f64 (cos.f64 x))) -1)
(.f64 (.f64 2 (/.f64 1 (cos.f64 x))) (/.f64 y 2))
(.f64 1/2 (.f64 (/.f64 y (cos.f64 x)) 2))
(*.f64 (/.f64 1/2 (cos.f64 x)) (+.f64 y y))
(.f64 (.f64 (/.f64 1 (cos.f64 x)) 1/2) (+.f64 y y))
(.f64 (/.f64 y (.f64 (cos.f64 x) 2)) 2)
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 y (cos.f64 x)) 2) 2)
(.f64 (/.f64 1 (.f64 (cos.f64 x) 4)) (*.f64 y 4))
(.f64 1/4 (.f64 (/.f64 y (cos.f64 x)) 4))
(*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 y))
(pow.f64 (/.f64 y (cos.f64 x)) 1)
(neg.f64 (/.f64 y (neg.f64 (cos.f64 x))))

Outputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6)))
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(.f64 2 (.f64 (/.f64 (sinh.f64 y) (+.f64 y y)) (cos.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 x) y) 2) (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (cos.f64 x) 4) (/.f64 1 (/.f64 (*.f64 y 4) (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (sinh.f64 y) (*.f64 (cos.f64 x) (/.f64 2 y))) 1/2)
(.f64 1/2 (.f64 (sinh.f64 y) (*.f64 (cos.f64 x) (/.f64 2 y))))
(.f64 (sinh.f64 y) (.f64 (cos.f64 x) (*.f64 (/.f64 2 y) 1/2)))
(.f64 (sinh.f64 y) (.f64 (cos.f64 x) (*.f64 1/2 (/.f64 2 y))))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (cos.f64 x)) 4)))
(.f64 (sinh.f64 y) (.f64 4 (/.f64 1 (*.f64 4 (/.f64 y (cos.f64 x))))))
(.f64 4 (.f64 (/.f64 1/4 (/.f64 y (cos.f64 x))) (sinh.f64 y)))
(.f64 4 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (*.f64 y 4))))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (/.f64 y (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y (cos.f64 x))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (/.f64 1 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 (cos.f64 x))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 y) (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 y) (.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 y) (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 y) (.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(.f64 (/.f64 (/.f64 (cos.f64 x) y) 2) (.f64 (sinh.f64 y) 2))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (.f64 (sinh.f64 y) (*.f64 (cos.f64 x) (/.f64 2 y))))
(.f64 (sinh.f64 y) (.f64 (cos.f64 x) (*.f64 (/.f64 2 y) 1/2)))
(.f64 (sinh.f64 y) (.f64 (cos.f64 x) (*.f64 1/2 (/.f64 2 y))))
(.f64 (/.f64 (sinh.f64 y) (+.f64 y y)) (.f64 (cos.f64 x) 2))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (cos.f64 x)))) -1)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y))
(*.f64 (/.f64 1 y) (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 y) (.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(*.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 (cos.f64 x))) (/.f64 1 y))
(*.f64 (/.f64 1 y) (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 y) (.f64 (cos.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(*.f64 (/.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (sinh.f64 y) (.f64 (/.f64 y (cos.f64 x)) 2)) 2)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (cos.f64 x) (.f64 y (/.f64 2 (sinh.f64 y)))) 2)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 1 (/.f64 (.f64 y 4) (sinh.f64 y))) (*.f64 (cos.f64 x) 4))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2) 2)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 1 (.f64 (/.f64 y (cos.f64 x)) 4)) (*.f64 (sinh.f64 y) 4))
(.f64 (sinh.f64 y) (.f64 4 (/.f64 1 (*.f64 4 (/.f64 y (cos.f64 x))))))
(.f64 4 (.f64 (/.f64 1/4 (/.f64 y (cos.f64 x))) (sinh.f64 y)))
(.f64 4 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (*.f64 y 4))))
(*.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 (cos.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 -1 (/.f64 y (cos.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (cos.f64 x)))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(+.f64 (/.f64 y (cos.f64 x)) 0)
(/.f64 y (cos.f64 x))
(+.f64 0 (/.f64 y (cos.f64 x)))
(/.f64 y (cos.f64 x))
(+.f64 (/.f64 y (.f64 (cos.f64 x) 2)) (/.f64 y (.f64 (cos.f64 x) 2)))
(/.f64 y (cos.f64 x))
(-.f64 (/.f64 y (cos.f64 x)) 0)
(/.f64 y (cos.f64 x))
(-.f64 0 (/.f64 y (neg.f64 (cos.f64 x))))
(/.f64 y (cos.f64 x))
(*.f64 y (/.f64 1 (cos.f64 x)))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 y (cos.f64 x)) 1)
(/.f64 y (cos.f64 x))
(*.f64 1 (/.f64 y (cos.f64 x)))
(/.f64 y (cos.f64 x))
(.f64 (.f64 (/.f64 y (cos.f64 x)) 2) 1/2)
(/.f64 y (cos.f64 x))
(*.f64 (+.f64 y y) (/.f64 1/2 (cos.f64 x)))
(/.f64 y (cos.f64 x))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (cos.f64 x)) 1/2))
(/.f64 y (cos.f64 x))
(*.f64 -1 (/.f64 y (neg.f64 (cos.f64 x))))
(/.f64 y (cos.f64 x))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) 2)))
(/.f64 y (cos.f64 x))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) 2))
(/.f64 y (cos.f64 x))
(.f64 2 (.f64 (/.f64 1/2 (cos.f64 x)) y))
(/.f64 y (cos.f64 x))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (cos.f64 x) 4)))
(/.f64 y (cos.f64 x))
(.f64 (.f64 (/.f64 y (cos.f64 x)) 4) 1/4)
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 1 (cos.f64 x)) y)
(/.f64 y (cos.f64 x))
(*.f64 (neg.f64 y) (/.f64 -1 (cos.f64 x)))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 y (neg.f64 (cos.f64 x))) -1)
(/.f64 y (cos.f64 x))
(.f64 (.f64 2 (/.f64 1 (cos.f64 x))) (/.f64 y 2))
(/.f64 y (cos.f64 x))
(.f64 1/2 (.f64 (/.f64 y (cos.f64 x)) 2))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 1/2 (cos.f64 x)) (+.f64 y y))
(/.f64 y (cos.f64 x))
(.f64 (.f64 (/.f64 1 (cos.f64 x)) 1/2) (+.f64 y y))
(/.f64 y (cos.f64 x))
(.f64 (/.f64 y (.f64 (cos.f64 x) 2)) 2)
(/.f64 y (cos.f64 x))
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (cos.f64 x))))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 (/.f64 y (cos.f64 x)) 2) 2)
(/.f64 y (cos.f64 x))
(.f64 (/.f64 1 (.f64 (cos.f64 x) 4)) (*.f64 y 4))
(/.f64 y (cos.f64 x))
(.f64 1/4 (.f64 (/.f64 y (cos.f64 x)) 4))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 y))
(/.f64 y (cos.f64 x))
(pow.f64 (/.f64 y (cos.f64 x)) 1)
(/.f64 y (cos.f64 x))
(neg.f64 (/.f64 y (neg.f64 (cos.f64 x))))
(/.f64 y (cos.f64 x))

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 1 (sinh.f64 y))
✓	0.1b	(/.f64 (cos.f64 x) y)
✓	0.2b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series92.0ms (0.7%)

Counts

3 → 40

Calls

15 calls:

Time	Variable		Point	Expression
89.0ms	x	@	inf	(/.f64 (cos.f64 x) y)
0.0ms	y	@	inf	(/.f64 1 (sinh.f64 y))
0.0ms	y	@	0	(/.f64 1 (sinh.f64 y))
0.0ms	x	@	0	(/.f64 (cos.f64 x) y)
0.0ms	x	@	-inf	(/.f64 (cos.f64 x) y)

rewrite118.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`exponential.json-3`
1578×	`rational.json-1`
1578×	`rational.json-2`
1578×	`rational.json-4`
1578×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	94	43
2	297	43
3	1006	43
4	4445	43

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

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

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

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1146×	`rational.json-simplify-35`
1088×	`rational.json-simplify-51`
894×	`rational.json-simplify-44`
884×	`rational.json-simplify-2`
864×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	4604
1	679	4580
2	1703	4536
3	5604	4428

Stop Event

1×	node limit

Counts

178 → 216

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 -31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(+.f64 0 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(.f64 1 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (sinh.f64 y) (/.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))))
(.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(*.f64 2 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 2 (sinh.f64 y))))
(*.f64 2 (/.f64 (sinh.f64 y) (/.f64 (+.f64 y y) (cos.f64 x))))
(*.f64 2 (/.f64 (cos.f64 x) (/.f64 2 (/.f64 (sinh.f64 y) y))))
(.f64 2 (/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(.f64 (.f64 (sinh.f64 y) 2) (*.f64 (cos.f64 x) (/.f64 1/2 y)))
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 2 (/.f64 y (/.f64 (cos.f64 x) 4))))
(.f64 (.f64 (cos.f64 x) (/.f64 2 y)) (/.f64 (sinh.f64 y) 2))
(.f64 (.f64 (cos.f64 x) (/.f64 2 y)) (*.f64 (sinh.f64 y) 1/2))
(.f64 (.f64 (cos.f64 x) 2) (/.f64 (sinh.f64 y) (+.f64 y y)))
(.f64 (.f64 (cos.f64 x) 2) (*.f64 (sinh.f64 y) (/.f64 1/2 y)))
(.f64 (.f64 (cos.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))
(.f64 (.f64 (cos.f64 x) 2) (*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) 2)))
(.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 1 y))
(.f64 -1 (/.f64 (cos.f64 x) (.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))))
(.f64 -1 (/.f64 (cos.f64 x) (.f64 y (/.f64 -1 (sinh.f64 y)))))
(*.f64 -1 (/.f64 (cos.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 -1 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 -1 (sinh.f64 y))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(.f64 (.f64 (sinh.f64 y) (sinh.f64 y)) (/.f64 1 (*.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))))
(.f64 (.f64 (sinh.f64 y) (*.f64 (cos.f64 x) (/.f64 2 y))) 1/2)
(.f64 (.f64 (/.f64 (cos.f64 x) y) 4) (/.f64 1 (*.f64 (/.f64 1 (sinh.f64 y)) 4)))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 2 (/.f64 (+.f64 y y) (cos.f64 x)))))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (/.f64 y (/.f64 (cos.f64 x) 4))))
(.f64 (.f64 (cos.f64 x) 4) (/.f64 1 (.f64 y (.f64 (/.f64 1 (sinh.f64 y)) 4))))
(.f64 (.f64 (sinh.f64 y) (*.f64 (cos.f64 x) 2)) (/.f64 1/2 y))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(.f64 (/.f64 1 y) (.f64 (cos.f64 x) (sinh.f64 y)))
(.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))))
(.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (.f64 y (/.f64 -1 (sinh.f64 y)))))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (/.f64 1 (/.f64 -1 (sinh.f64 y))))
(.f64 (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 1 (neg.f64 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) (neg.f64 y)))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 (cos.f64 x) (/.f64 2 (sinh.f64 y))))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 y)) (*.f64 (cos.f64 x) 1/2))
(.f64 (/.f64 (sinh.f64 y) 2) (.f64 (cos.f64 x) (/.f64 2 y)))
(.f64 (/.f64 (sinh.f64 y) (+.f64 y y)) (.f64 (cos.f64 x) 2))
(.f64 1/2 (.f64 (sinh.f64 y) (*.f64 (cos.f64 x) (/.f64 2 y))))
(.f64 (/.f64 1/2 y) (.f64 (sinh.f64 y) (*.f64 (cos.f64 x) 2)))
(.f64 (.f64 (cos.f64 x) 1/2) (*.f64 (sinh.f64 y) (/.f64 2 y)))
(.f64 (.f64 (cos.f64 x) (/.f64 1/2 y)) (*.f64 (sinh.f64 y) 2))
(.f64 (.f64 (sinh.f64 y) 1/2) (*.f64 (cos.f64 x) (/.f64 2 y)))
(.f64 (.f64 (sinh.f64 y) (/.f64 1/2 y)) (*.f64 (cos.f64 x) 2))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (cos.f64 x) 2))
(.f64 (.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) 2)) (*.f64 (cos.f64 x) 2))
(.f64 (/.f64 (cos.f64 x) (.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))) -1)
(.f64 (/.f64 (cos.f64 x) (.f64 y (/.f64 -1 (sinh.f64 y)))) -1)
(*.f64 (/.f64 (cos.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))) -1)
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 -1 (sinh.f64 y))) -1)
(.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)) -1)
(.f64 (/.f64 (cos.f64 x) (/.f64 2 (sinh.f64 y))) (.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 2 (sinh.f64 y))) 2)
(.f64 (/.f64 1 (.f64 (/.f64 1 (sinh.f64 y)) 4)) (*.f64 (/.f64 (cos.f64 x) y) 4))
(*.f64 (/.f64 1 (/.f64 -1 (sinh.f64 y))) (/.f64 (cos.f64 x) (neg.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (+.f64 y y) (cos.f64 x))) 2)
(*.f64 (/.f64 (cos.f64 x) (/.f64 2 (/.f64 (sinh.f64 y) y))) 2)
(.f64 (/.f64 1 (.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))) (*.f64 (sinh.f64 y) (sinh.f64 y)))
(.f64 (/.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))) (sinh.f64 y))
(.f64 (/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2) 2)
(.f64 (/.f64 1 (.f64 2 (/.f64 (+.f64 y y) (cos.f64 x)))) (*.f64 (sinh.f64 y) 4))
(.f64 (/.f64 1 (/.f64 y (/.f64 (cos.f64 x) 4))) (.f64 (sinh.f64 y) 4))
(.f64 (/.f64 2 (/.f64 y (/.f64 (cos.f64 x) 4))) (.f64 (sinh.f64 y) 2))
(.f64 (/.f64 1 (.f64 y (.f64 (/.f64 1 (sinh.f64 y)) 4))) (.f64 (cos.f64 x) 4))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 1 (.f64 y (/.f64 -1 (sinh.f64 y)))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (/.f64 y (sinh.f64 y)))) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(neg.f64 (*.f64 (/.f64 (cos.f64 x) y) (neg.f64 (sinh.f64 y))))
(neg.f64 (/.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (/.f64 1 (sinh.f64 y))))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 y (cos.f64 x))))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 y (/.f64 -1 (sinh.f64 y)))))
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(neg.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 -1 (sinh.f64 y))))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(+.f64 (/.f64 (cos.f64 x) y) 0)
(+.f64 0 (/.f64 (cos.f64 x) y))
(-.f64 (/.f64 (cos.f64 x) y) 0)
(-.f64 0 (/.f64 (cos.f64 x) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 1 y))
(*.f64 (/.f64 (cos.f64 x) y) 1)
(*.f64 1 (/.f64 (cos.f64 x) y))
(.f64 2 (.f64 (cos.f64 x) (/.f64 1/2 y)))
(.f64 (.f64 (cos.f64 x) (/.f64 2 y)) 1/2)
(.f64 (.f64 (cos.f64 x) 2) (/.f64 1/2 y))
(.f64 (.f64 (cos.f64 x) 2) (*.f64 (/.f64 1 y) 1/2))
(*.f64 -1 (/.f64 (cos.f64 x) (neg.f64 y)))
(.f64 (.f64 (/.f64 (cos.f64 x) y) 4) 1/4)
(.f64 (.f64 (cos.f64 x) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (/.f64 1 y) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) -1)
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (cos.f64 x) 1/2))
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 2 y)))
(.f64 (/.f64 1/2 y) (.f64 (cos.f64 x) 2))
(.f64 (.f64 (cos.f64 x) 1/2) (*.f64 2 (/.f64 1 y)))
(.f64 (.f64 (cos.f64 x) (/.f64 1/2 y)) 2)
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (cos.f64 x) 2))
(.f64 1/4 (.f64 (/.f64 (cos.f64 x) y) 4))
(*.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (cos.f64 x) 4))
(pow.f64 (/.f64 (cos.f64 x) y) 1)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))
(+.f64 (/.f64 1 (sinh.f64 y)) 0)
(+.f64 0 (/.f64 1 (sinh.f64 y)))
(-.f64 (/.f64 1 (sinh.f64 y)) 0)
(*.f64 1 (/.f64 1 (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 1 (.f64 (sinh.f64 y) (sinh.f64 y))))
(*.f64 (/.f64 1 (sinh.f64 y)) 1)
(*.f64 2 (/.f64 (/.f64 1 (sinh.f64 y)) 2))
(.f64 2 (/.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (*.f64 (sinh.f64 y) 2))))
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 1 (.f64 (sinh.f64 y) (.f64 (sinh.f64 y) 2))))
(*.f64 (/.f64 2 (sinh.f64 y)) 1/2)
(*.f64 -1 (/.f64 -1 (sinh.f64 y)))
(.f64 (.f64 (/.f64 1 (sinh.f64 y)) 4) 1/4)
(*.f64 (/.f64 -1 (sinh.f64 y)) -1)
(.f64 (/.f64 (sinh.f64 y) 2) (/.f64 2 (.f64 (sinh.f64 y) (sinh.f64 y))))
(*.f64 1/2 (/.f64 2 (sinh.f64 y)))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) (sinh.f64 y))) (sinh.f64 y))
(.f64 (/.f64 2 (.f64 (sinh.f64 y) (sinh.f64 y))) (/.f64 (sinh.f64 y) 2))
(*.f64 (/.f64 (/.f64 1 (sinh.f64 y)) 2) 2)
(.f64 1/4 (.f64 (/.f64 1 (sinh.f64 y)) 4))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) (.f64 (sinh.f64 y) 2))) (.f64 (sinh.f64 y) 2))
(.f64 (/.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (*.f64 (sinh.f64 y) 2))) 2)
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(neg.f64 (/.f64 -1 (sinh.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (sinh.f64 y) (sinh.f64 y))))

Outputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/4 (*.f64 (pow.f64 x 2) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 2) y) -1/4)))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 (pow.f64 x 2) -1/4)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 x 2) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/4 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 2) y)))) (.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 4) y))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (pow.f64 x 2) y) -1/4)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 4) y) 1/48))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (pow.f64 x 2) y) -1/4)) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 (pow.f64 x 4) 1/48))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 x 2) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (.f64 1/48 (.f64 (pow.f64 x 4) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/1440 (*.f64 (pow.f64 x 6) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))))
(+.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/4 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 2) y)))) (.f64 1/48 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 4) y)))) (.f64 -1/1440 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 6) y))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (pow.f64 x 2) y) -1/4)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (pow.f64 x 4) y) 1/48)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 6) y) -1/1440)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (pow.f64 x 4) y) 1/48)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (pow.f64 x 2) y) -1/4)) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 (pow.f64 x 6) -1/1440)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/6)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 2)) 1))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/6)) (+.f64 (cos.f64 x) (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 4))) (.f64 (cos.f64 x) (.f64 1/6 (pow.f64 y 2)))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/6)) (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (pow.f64 y 6) 1/5040)))))
(+.f64 (.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 4))) (+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 1/6 (pow.f64 y 2))) (.f64 (cos.f64 x) (.f64 1/5040 (pow.f64 y 6))))))
(+.f64 (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))) (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2))))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (.f64 1/6 (pow.f64 y 2))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(.f64 (.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) 2)) (*.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 (cos.f64 x) (.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))) -1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 (cos.f64 x) (.f64 y (/.f64 -1 (sinh.f64 y)))) -1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))) -1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 -1 (sinh.f64 y))) -1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)) -1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 (cos.f64 x) (/.f64 2 (sinh.f64 y))) (.f64 2 (/.f64 1 y)))
(.f64 2 (.f64 (/.f64 1 y) (/.f64 (cos.f64 x) (/.f64 2 (sinh.f64 y)))))
(.f64 2 (.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 2 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 2 (sinh.f64 y))) 2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sinh.f64 y)) 4)) (*.f64 (/.f64 (cos.f64 x) y) 4))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 1 (/.f64 -1 (sinh.f64 y))) (/.f64 (cos.f64 x) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (+.f64 y y) (cos.f64 x))) 2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (cos.f64 x) (/.f64 2 (/.f64 (sinh.f64 y) y))) 2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))) (*.f64 (sinh.f64 y) (sinh.f64 y)))
(.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (/.f64 1 (*.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))))))
(.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (/.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y (cos.f64 x)))))
(.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (/.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))
(.f64 (/.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2) 2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 1 (.f64 2 (/.f64 (+.f64 y y) (cos.f64 x)))) (*.f64 (sinh.f64 y) 4))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 1 (/.f64 y (/.f64 (cos.f64 x) 4))) (.f64 (sinh.f64 y) 4))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 2 (/.f64 y (/.f64 (cos.f64 x) 4))) (.f64 (sinh.f64 y) 2))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 1 (.f64 y (.f64 (/.f64 1 (sinh.f64 y)) 4))) (.f64 (cos.f64 x) 4))
(.f64 (.f64 4 (cos.f64 x)) (/.f64 1 (.f64 (/.f64 1 (sinh.f64 y)) (.f64 y 4))))
(.f64 4 (.f64 (/.f64 (/.f64 1/4 (/.f64 1 (sinh.f64 y))) y) (cos.f64 x)))
(.f64 4 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (*.f64 y 4))))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 1 (.f64 y (/.f64 -1 (sinh.f64 y)))) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 1 (neg.f64 (/.f64 y (sinh.f64 y)))) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (*.f64 (/.f64 (cos.f64 x) y) (neg.f64 (sinh.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (/.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (/.f64 1 (sinh.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 y (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 y (/.f64 -1 (sinh.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 -1 (sinh.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(+.f64 (/.f64 (cos.f64 x) y) 0)
(/.f64 (cos.f64 x) y)
(+.f64 0 (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) y)
(-.f64 (/.f64 (cos.f64 x) y) 0)
(/.f64 (cos.f64 x) y)
(-.f64 0 (/.f64 (cos.f64 x) (neg.f64 y)))
(/.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) (/.f64 1 y))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (cos.f64 x) y) 1)
(/.f64 (cos.f64 x) y)
(*.f64 1 (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) y)
(.f64 2 (.f64 (cos.f64 x) (/.f64 1/2 y)))
(.f64 (cos.f64 x) (.f64 2 (/.f64 1/2 y)))
(.f64 (.f64 (cos.f64 x) (/.f64 2 y)) 1/2)
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 2 y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 2 y)))
(.f64 (.f64 (cos.f64 x) 2) (/.f64 1/2 y))
(.f64 2 (.f64 (cos.f64 x) (/.f64 1/2 y)))
(.f64 (cos.f64 x) (.f64 2 (/.f64 1/2 y)))
(.f64 (.f64 (cos.f64 x) 2) (*.f64 (/.f64 1 y) 1/2))
(/.f64 (cos.f64 x) y)
(*.f64 -1 (/.f64 (cos.f64 x) (neg.f64 y)))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (/.f64 (cos.f64 x) y) 4) 1/4)
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (cos.f64 x) 4) (/.f64 1 (*.f64 y 4)))
(.f64 (.f64 4 (cos.f64 x)) (/.f64 1 (*.f64 y 4)))
(.f64 (.f64 4 (cos.f64 x)) (/.f64 1/4 y))
(.f64 4 (.f64 (cos.f64 x) (/.f64 1/4 y)))
(*.f64 (/.f64 1 y) (cos.f64 x))
(/.f64 (cos.f64 x) y)
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 y)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) -1)
(/.f64 (cos.f64 x) y)
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (cos.f64 x) 1/2))
(/.f64 (cos.f64 x) y)
(.f64 1/2 (.f64 (cos.f64 x) (/.f64 2 y)))
(.f64 (cos.f64 x) (.f64 1/2 (/.f64 2 y)))
(.f64 (/.f64 1/2 y) (.f64 (cos.f64 x) 2))
(.f64 2 (.f64 (cos.f64 x) (/.f64 1/2 y)))
(.f64 (cos.f64 x) (.f64 2 (/.f64 1/2 y)))
(.f64 (.f64 (cos.f64 x) 1/2) (*.f64 2 (/.f64 1 y)))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (cos.f64 x) (/.f64 1/2 y)) 2)
(.f64 2 (.f64 (cos.f64 x) (/.f64 1/2 y)))
(.f64 (cos.f64 x) (.f64 2 (/.f64 1/2 y)))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (cos.f64 x) 2))
(/.f64 (cos.f64 x) y)
(.f64 1/4 (.f64 (/.f64 (cos.f64 x) y) 4))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (cos.f64 x) 4))
(.f64 (.f64 4 (cos.f64 x)) (/.f64 1 (*.f64 y 4)))
(.f64 (.f64 4 (cos.f64 x)) (/.f64 1/4 y))
(.f64 4 (.f64 (cos.f64 x) (/.f64 1/4 y)))
(pow.f64 (/.f64 (cos.f64 x) y) 1)
(/.f64 (cos.f64 x) y)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))
(/.f64 (cos.f64 x) y)
(+.f64 (/.f64 1 (sinh.f64 y)) 0)
(/.f64 1 (sinh.f64 y))
(+.f64 0 (/.f64 1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(-.f64 (/.f64 1 (sinh.f64 y)) 0)
(/.f64 1 (sinh.f64 y))
(*.f64 1 (/.f64 1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(.f64 (sinh.f64 y) (/.f64 1 (.f64 (sinh.f64 y) (sinh.f64 y))))
(*.f64 (/.f64 1 (sinh.f64 y)) 1)
(/.f64 1 (sinh.f64 y))
(*.f64 2 (/.f64 (/.f64 1 (sinh.f64 y)) 2))
(/.f64 1 (sinh.f64 y))
(.f64 2 (/.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (*.f64 (sinh.f64 y) 2))))
(/.f64 1 (sinh.f64 y))
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 1 (.f64 (sinh.f64 y) (.f64 (sinh.f64 y) 2))))
(.f64 (sinh.f64 y) (/.f64 1 (.f64 (sinh.f64 y) (sinh.f64 y))))
(*.f64 (/.f64 2 (sinh.f64 y)) 1/2)
(*.f64 1/2 (/.f64 2 (sinh.f64 y)))
(*.f64 -1 (/.f64 -1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(.f64 (.f64 (/.f64 1 (sinh.f64 y)) 4) 1/4)
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 -1 (sinh.f64 y)) -1)
(/.f64 1 (sinh.f64 y))
(.f64 (/.f64 (sinh.f64 y) 2) (/.f64 2 (.f64 (sinh.f64 y) (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 1/2 (/.f64 2 (sinh.f64 y)))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) (sinh.f64 y))) (sinh.f64 y))
(.f64 (sinh.f64 y) (/.f64 1 (.f64 (sinh.f64 y) (sinh.f64 y))))
(.f64 (/.f64 2 (.f64 (sinh.f64 y) (sinh.f64 y))) (/.f64 (sinh.f64 y) 2))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 (/.f64 1 (sinh.f64 y)) 2) 2)
(/.f64 1 (sinh.f64 y))
(.f64 1/4 (.f64 (/.f64 1 (sinh.f64 y)) 4))
(/.f64 1 (sinh.f64 y))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) (.f64 (sinh.f64 y) 2))) (.f64 (sinh.f64 y) 2))
(.f64 (sinh.f64 y) (/.f64 1 (.f64 (sinh.f64 y) (sinh.f64 y))))
(.f64 (/.f64 (sinh.f64 y) (.f64 (sinh.f64 y) (*.f64 (sinh.f64 y) 2))) 2)
(/.f64 1 (sinh.f64 y))
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(/.f64 1 (sinh.f64 y))
(neg.f64 (/.f64 -1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (sinh.f64 y) (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))

eval267.0ms (2%)

Compiler: Compiled 10848 to 5452 computations (49.7% saved)

prune316.0ms (2.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	658	5	663
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	659	9	668

Error

Counts

668 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 y))
▶	1.1b	(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
▶	28.4b	(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
✓	0.1b	(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
▶	28.4b	(/.f64 (sinh.f64 y) y)
▶	1.4b	(/.f64 y (/.f64 y (cos.f64 x)))
✓	0.1b	(/.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x)))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	1.3b	(cos.f64 x)

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 y) (*.f64 y -1/6))
	0.1b	(/.f64 (cos.f64 x) y)
✓	0.2b	(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
✓	0.3b	(*.f64 y -1/6)

Compiler

Compiled 37 to 21 computations (43.2% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite117.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2120×	`rational.json-1`
1750×	`rational.json-simplify-35`
964×	`exponential.json-3`
964×	`rational.json-2`
964×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	105	61
2	285	61
3	825	61
4	2794	61
5	7473	61

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

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

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1164×	`rational.json-simplify-44`
1040×	`rational.json-simplify-46`
942×	`rational.json-simplify-47`
890×	`rational.json-simplify-35`
862×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	239	4794
1	528	4770
2	1313	4738
3	5912	4728

Stop Event

1×	node limit

Counts

146 → 165

Calls

Call 1

Inputs
(*.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 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (+.f64 (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/216 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(/.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 y -1/6) 0)
(+.f64 0 (*.f64 y -1/6))
(-.f64 (*.f64 y -1/6) 0)
(/.f64 (*.f64 y -1/6) 1)
(/.f64 (*.f64 y -1/3) 2)
(/.f64 (*.f64 y -2/3) 4)
(/.f64 (.f64 2 (.f64 y -2/3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 y -2/3)) (.f64 2 (.f64 y -2/3))) 16)
(pow.f64 (*.f64 y -1/6) 1)
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(.f64 -1 (/.f64 (/.f64 (cos.f64 x) (+.f64 (.f64 y -1/6) (/.f64 1 y))) (neg.f64 y)))
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(.f64 (/.f64 1/2 (.f64 y (+.f64 (.f64 y -1/6) (/.f64 1 y)))) (.f64 (cos.f64 x) 2))
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(.f64 (.f64 (/.f64 1 (.f64 y (+.f64 (.f64 y -1/6) (/.f64 1 y)))) 1/2) (*.f64 (cos.f64 x) 2))
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(.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 y (+.f64 (*.f64 y -1/6) (/.f64 1 y)))) 2) 2)
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(.f64 -1 (neg.f64 (+.f64 (.f64 y -1/6) (/.f64 1 y))))
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(.f64 1/2 (+.f64 (.f64 (/.f64 1 y) 2) (*.f64 y -1/3)))
(.f64 (/.f64 (+.f64 (.f64 y -1/6) (/.f64 1 y)) 2) 2)
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(pow.f64 (+.f64 (*.f64 y -1/6) (/.f64 1 y)) 1)
(neg.f64 (neg.f64 (+.f64 (*.f64 y -1/6) (/.f64 1 y))))

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

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (sinh.f64 y) y)
	0.0b	(sinh.f64 y)

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite173.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`rational.json-1`
1522×	`rational.json-2`
1522×	`rational.json-3`
1518×	`rational.json-4`
1502×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	59	5
2	185	5
3	643	5
4	2049	5
5	5582	5

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational.json-simplify-35`
1072×	`exponential.json-simplify-26`
960×	`rational.json-simplify-2`
698×	`rational.json-simplify-53`
660×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	442
1	208	442
2	568	442
3	2593	442
4	5528	442

Stop Event

1×	node limit

Counts

70 → 54

Calls

Call 1

Inputs
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(+.f64 (cos.f64 x) 0)
(+.f64 0 (cos.f64 x))
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 y (.f64 y (/.f64 2 (cos.f64 x)))) (/.f64 y (.f64 y (/.f64 2 (cos.f64 x)))))
(+.f64 (-.f64 1 (neg.f64 (cos.f64 x))) -1)
(-.f64 (cos.f64 x) 0)
(-.f64 0 (neg.f64 (cos.f64 x)))
(-.f64 0 (/.f64 (neg.f64 y) (/.f64 y (cos.f64 x))))
(*.f64 y (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (+.f64 y y) (/.f64 (/.f64 (cos.f64 x) y) 2))
(.f64 (+.f64 y y) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(.f64 (.f64 (cos.f64 x) 2) 1/2)
(*.f64 -1 (neg.f64 (cos.f64 x)))
(*.f64 -1 (/.f64 (neg.f64 y) (/.f64 y (cos.f64 x))))
(.f64 2 (/.f64 y (.f64 y (/.f64 2 (cos.f64 x)))))
(*.f64 2 (/.f64 (cos.f64 x) 2))
(.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 x) y) 2) y))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (/.f64 y (cos.f64 x)) 4)))
(.f64 (.f64 (cos.f64 x) 4) 1/4)
(.f64 (/.f64 1 y) (.f64 y (cos.f64 x)))
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (cos.f64 x))))
(*.f64 (neg.f64 (cos.f64 x)) -1)
(*.f64 (/.f64 (cos.f64 x) y) y)
(*.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (/.f64 1 y)))
(.f64 (.f64 (cos.f64 x) (/.f64 2 y)) (/.f64 y 2))
(.f64 (.f64 y (cos.f64 x)) (/.f64 1 y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) 2) (+.f64 y y))
(.f64 1/2 (.f64 (cos.f64 x) 2))
(.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) (+.f64 y y))
(*.f64 (/.f64 (neg.f64 y) (/.f64 y (cos.f64 x))) -1)
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 y 2) (.f64 (cos.f64 x) (/.f64 2 y)))
(.f64 (/.f64 y (.f64 y (/.f64 2 (cos.f64 x)))) 2)
(*.f64 (/.f64 (cos.f64 x) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y (cos.f64 x)) 4)) (*.f64 y 4))
(.f64 1/4 (.f64 (cos.f64 x) 4))
(*.f64 (/.f64 -1 (/.f64 y (cos.f64 x))) (neg.f64 y))
(pow.f64 (cos.f64 x) 1)
(neg.f64 (neg.f64 (cos.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 y (cos.f64 x))))
(cos.f64 x)
(cos.f64 (neg.f64 x))
(cos.f64 (-.f64 (PI.f64) (-.f64 (PI.f64) x)))
(cos.f64 (-.f64 (PI.f64) (+.f64 x (PI.f64))))

Outputs
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 1/24 (pow.f64 x 4)) -1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (-.f64 (*.f64 -1/720 (pow.f64 x 6)) -1)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(+.f64 0 (cos.f64 x))
(cos.f64 x)
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 x))))
(cos.f64 x)
(+.f64 (/.f64 y (.f64 y (/.f64 2 (cos.f64 x)))) (/.f64 y (.f64 y (/.f64 2 (cos.f64 x)))))
(cos.f64 x)
(+.f64 (-.f64 1 (neg.f64 (cos.f64 x))) -1)
(cos.f64 x)
(-.f64 (cos.f64 x) 0)
(cos.f64 x)
(-.f64 0 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(-.f64 0 (/.f64 (neg.f64 y) (/.f64 y (cos.f64 x))))
(cos.f64 x)
(*.f64 y (/.f64 (cos.f64 x) y))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (+.f64 y y) (/.f64 (/.f64 (cos.f64 x) y) 2))
(cos.f64 x)
(.f64 (+.f64 y y) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 2) 1/2)
(cos.f64 x)
(*.f64 -1 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 -1 (/.f64 (neg.f64 y) (/.f64 y (cos.f64 x))))
(cos.f64 x)
(.f64 2 (/.f64 y (.f64 y (/.f64 2 (cos.f64 x)))))
(cos.f64 x)
(*.f64 2 (/.f64 (cos.f64 x) 2))
(cos.f64 x)
(.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 x) y) 2) y))
(cos.f64 x)
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (/.f64 y (cos.f64 x)) 4)))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 4) 1/4)
(cos.f64 x)
(.f64 (/.f64 1 y) (.f64 y (cos.f64 x)))
(cos.f64 x)
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (cos.f64 x))))
(cos.f64 x)
(*.f64 (neg.f64 (cos.f64 x)) -1)
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) y) y)
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (/.f64 1 y)))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (/.f64 2 y)) (/.f64 y 2))
(cos.f64 x)
(.f64 (.f64 y (cos.f64 x)) (/.f64 1 y))
(cos.f64 x)
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) 2) (+.f64 y y))
(cos.f64 x)
(.f64 1/2 (.f64 (cos.f64 x) 2))
(cos.f64 x)
(.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) (+.f64 y y))
(cos.f64 x)
(*.f64 (/.f64 (neg.f64 y) (/.f64 y (cos.f64 x))) -1)
(cos.f64 x)
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 (cos.f64 x) y))
(cos.f64 x)
(.f64 (/.f64 y 2) (.f64 (cos.f64 x) (/.f64 2 y)))
(cos.f64 x)
(.f64 (/.f64 y (.f64 y (/.f64 2 (cos.f64 x)))) 2)
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) 2) 2)
(cos.f64 x)
(.f64 (/.f64 1 (.f64 (/.f64 y (cos.f64 x)) 4)) (*.f64 y 4))
(cos.f64 x)
(.f64 1/4 (.f64 (cos.f64 x) 4))
(cos.f64 x)
(*.f64 (/.f64 -1 (/.f64 y (cos.f64 x))) (neg.f64 y))
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(neg.f64 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(neg.f64 (/.f64 (neg.f64 y) (/.f64 y (cos.f64 x))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 (neg.f64 x))
(cos.f64 x)
(cos.f64 (-.f64 (PI.f64) (-.f64 (PI.f64) x)))
(cos.f64 x)
(cos.f64 (-.f64 (PI.f64) (+.f64 x (PI.f64))))
(cos.f64 x)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
	0.0b	(/.f64 1 (sinh.f64 y))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`exponential.json-3`
1236×	`rational.json-1`
1236×	`rational.json-2`
1236×	`rational.json-4`
1236×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	79	11
2	249	11
3	747	11
4	3178	11

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational.json-simplify-35`
1224×	`rational.json-simplify-2`
1096×	`rational.json-simplify-1`
1052×	`rational.json-simplify-55`
932×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	1060
1	270	1060
2	594	1060
3	1406	1060
4	3675	1060
5	7457	1060

Stop Event

1×	node limit

Counts

64 → 69

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 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(+.f64 0 (/.f64 (sinh.f64 y) y))
(-.f64 (/.f64 (sinh.f64 y) y) 0)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(.f64 y (/.f64 2 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 1 y))
(.f64 (sinh.f64 y) (/.f64 (sinh.f64 y) (.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(.f64 2 (/.f64 y (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))))
(*.f64 2 (/.f64 (sinh.f64 y) (+.f64 y y)))
(*.f64 2 (/.f64 (/.f64 1 y) (/.f64 2 (sinh.f64 y))))
(.f64 2 (.f64 (sinh.f64 y) (/.f64 1/2 y)))
(*.f64 2 (/.f64 (/.f64 (sinh.f64 y) y) 2))
(.f64 2 (.f64 (/.f64 (sinh.f64 y) 2) (/.f64 1 y)))
(.f64 (+.f64 y y) (/.f64 1 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 2 y) (/.f64 (sinh.f64 y) 2))
(.f64 (/.f64 2 y) (.f64 (sinh.f64 y) 1/2))
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 1/2 y))
(.f64 (.f64 (sinh.f64 y) (sinh.f64 y)) (/.f64 1 (*.f64 y (sinh.f64 y))))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(.f64 (.f64 (sinh.f64 y) (/.f64 2 y)) 1/2)
(.f64 (.f64 (/.f64 1 y) 4) (/.f64 1 (*.f64 (/.f64 1 (sinh.f64 y)) 4)))
(*.f64 -1 (/.f64 (/.f64 1 y) (/.f64 -1 (sinh.f64 y))))
(*.f64 -1 (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 y))
(.f64 (/.f64 1 (.f64 y y)) (*.f64 y (sinh.f64 y)))
(.f64 1/2 (.f64 (sinh.f64 y) (/.f64 2 y)))
(*.f64 (/.f64 (sinh.f64 y) 2) (/.f64 2 y))
(.f64 (/.f64 2 (.f64 y y)) (/.f64 y (/.f64 2 (sinh.f64 y))))
(.f64 (.f64 y (sinh.f64 y)) (/.f64 1 (*.f64 y y)))
(.f64 (/.f64 1/2 y) (.f64 (sinh.f64 y) 2))
(.f64 (.f64 (sinh.f64 y) 1/2) (/.f64 2 y))
(.f64 (/.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (.f64 y y)))
(.f64 (/.f64 1 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) (+.f64 y y))
(.f64 (/.f64 y (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) 2)
(.f64 (/.f64 2 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) y)
(*.f64 (/.f64 (sinh.f64 y) (+.f64 y y)) 2)
(.f64 (/.f64 (sinh.f64 y) (.f64 y (sinh.f64 y))) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sinh.f64 y))) -1)
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) -1)
(*.f64 (/.f64 (/.f64 1 y) (/.f64 2 (sinh.f64 y))) 2)
(.f64 (/.f64 1 (.f64 y (sinh.f64 y))) (*.f64 (sinh.f64 y) (sinh.f64 y)))
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (sinh.f64 y) 4))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 1 (sinh.f64 y)) 4)) (*.f64 (/.f64 1 y) 4))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 y)))
(neg.f64 (*.f64 (/.f64 1 y) (neg.f64 (sinh.f64 y))))
(neg.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sinh.f64 y))))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 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 (.f64 1/120 (pow.f64 y 4)) 1))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 1 (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1)))
(+.f64 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))) (+.f64 1 (*.f64 1/5040 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(+.f64 (.f64 1/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/5040 (pow.f64 y 6)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(+.f64 0 (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(-.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(.f64 y (/.f64 2 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (sinh.f64 y) y)
(.f64 (sinh.f64 y) (/.f64 (sinh.f64 y) (.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (/.f64 (sinh.f64 y) (sinh.f64 y)) y))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(.f64 2 (/.f64 y (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))))
(/.f64 (sinh.f64 y) y)
(*.f64 2 (/.f64 (sinh.f64 y) (+.f64 y y)))
(/.f64 (sinh.f64 y) y)
(*.f64 2 (/.f64 (/.f64 1 y) (/.f64 2 (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(.f64 2 (.f64 (sinh.f64 y) (/.f64 1/2 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 2 (/.f64 (/.f64 (sinh.f64 y) y) 2))
(/.f64 (sinh.f64 y) y)
(.f64 2 (.f64 (/.f64 (sinh.f64 y) 2) (/.f64 1 y)))
(/.f64 (sinh.f64 y) y)
(.f64 (+.f64 y y) (/.f64 1 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 2 y) (/.f64 (sinh.f64 y) 2))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 2 y) (.f64 (sinh.f64 y) 1/2))
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 (sinh.f64 y) 2) (/.f64 1/2 y))
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 (sinh.f64 y) (sinh.f64 y)) (/.f64 1 (*.f64 y (sinh.f64 y))))
(.f64 (sinh.f64 y) (/.f64 (sinh.f64 y) (.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (/.f64 (sinh.f64 y) (sinh.f64 y)) y))
(.f64 (.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 (sinh.f64 y) (/.f64 2 y)) 1/2)
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 (/.f64 1 y) 4) (/.f64 1 (*.f64 (/.f64 1 (sinh.f64 y)) 4)))
(/.f64 (sinh.f64 y) y)
(*.f64 -1 (/.f64 (/.f64 1 y) (/.f64 -1 (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(*.f64 -1 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 y))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 1 (.f64 y y)) (*.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(.f64 1/2 (.f64 (sinh.f64 y) (/.f64 2 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) 2) (/.f64 2 y))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 2 (.f64 y y)) (/.f64 y (/.f64 2 (sinh.f64 y))))
(.f64 (/.f64 2 (.f64 y y)) (/.f64 (sinh.f64 y) (/.f64 2 y)))
(/.f64 (sinh.f64 y) (*.f64 (/.f64 2 y) (/.f64 y (/.f64 2 y))))
(.f64 (.f64 y (sinh.f64 y)) (/.f64 1 (*.f64 y y)))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 1/2 y) (.f64 (sinh.f64 y) 2))
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 (sinh.f64 y) 1/2) (/.f64 2 y))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (.f64 y y)))
(.f64 (/.f64 2 (.f64 y y)) (/.f64 y (/.f64 2 (sinh.f64 y))))
(.f64 (/.f64 2 (.f64 y y)) (/.f64 (sinh.f64 y) (/.f64 2 y)))
(/.f64 (sinh.f64 y) (*.f64 (/.f64 2 y) (/.f64 y (/.f64 2 y))))
(.f64 (/.f64 1 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) (+.f64 y y))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 y (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) 2)
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 2 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) (+.f64 y y)) 2)
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 (sinh.f64 y) (.f64 y (sinh.f64 y))) (sinh.f64 y))
(.f64 (sinh.f64 y) (/.f64 (sinh.f64 y) (.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (/.f64 (sinh.f64 y) (sinh.f64 y)) y))
(*.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sinh.f64 y))) -1)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) -1)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (/.f64 1 y) (/.f64 2 (sinh.f64 y))) 2)
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 1 (.f64 y (sinh.f64 y))) (*.f64 (sinh.f64 y) (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 (sinh.f64 y) (.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (/.f64 (sinh.f64 y) (sinh.f64 y)) y))
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (sinh.f64 y) 4))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) 2) 2)
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 1 (.f64 (/.f64 1 (sinh.f64 y)) 4)) (*.f64 (/.f64 1 y) 4))
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 y)))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (/.f64 1 y) (neg.f64 (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (sinh.f64 y) y)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (cos.f64 x) y)
✓	0.2b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 y))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite180.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`rational.json-1`
1656×	`rational.json-simplify-35`
980×	`rational.json-simplify-50`
942×	`rational.json-simplify-2`
884×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	87	17
2	278	5
3	968	5
4	3032	5
5	7752	5

Stop Event

1×	node limit

Counts

1 → 80

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational.json-simplify-49`
1222×	`rational.json-simplify-61`
1022×	`rational.json-simplify-51`
820×	`rational.json-simplify-54`
814×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	808
1	370	796
2	1191	756
3	5440	732

Stop Event

1×	node limit

Counts

104 → 95

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(+.f64 (cos.f64 x) 0)
(+.f64 0 (cos.f64 x))
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) 1/2) (.f64 (cos.f64 x) 1/2))
(-.f64 (cos.f64 x) 0)
(-.f64 0 (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) 1)
(*.f64 y (/.f64 (cos.f64 x) y))
(.f64 y (/.f64 y (.f64 y (/.f64 y (cos.f64 x)))))
(.f64 y (+.f64 (/.f64 1/2 (/.f64 y (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 1/2 y))))
(*.f64 (/.f64 (cos.f64 x) y) y)
(*.f64 1 (cos.f64 x))
(.f64 (/.f64 1 y) (.f64 (cos.f64 x) y))
(*.f64 2 (/.f64 1 (/.f64 2 (cos.f64 x))))
(.f64 2 (.f64 (cos.f64 x) 1/2))
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 y (cos.f64 x))))
(.f64 (+.f64 y y) (.f64 (cos.f64 x) (/.f64 1/2 y)))
(*.f64 (+.f64 y y) (/.f64 (/.f64 1 y) (/.f64 2 (cos.f64 x))))
(.f64 (.f64 (cos.f64 x) (/.f64 2 y)) (/.f64 y 2))
(.f64 (.f64 (cos.f64 x) (/.f64 2 y)) (*.f64 y 1/2))
(.f64 (/.f64 2 y) (.f64 (*.f64 (cos.f64 x) y) 1/2))
(*.f64 (/.f64 2 y) (/.f64 (cos.f64 x) (/.f64 2 y)))
(.f64 (/.f64 2 y) (.f64 (*.f64 (cos.f64 x) 1/2) y))
(.f64 (.f64 (cos.f64 x) 2) 1/2)
(.f64 (.f64 (cos.f64 x) 2) (*.f64 y (/.f64 1/2 y)))
(.f64 (.f64 (cos.f64 x) 2) (*.f64 (/.f64 1 y) (/.f64 y 2)))
(.f64 (.f64 (cos.f64 x) y) (/.f64 1 y))
(*.f64 -1 (neg.f64 (cos.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (/.f64 (neg.f64 y) y)))
(.f64 -1 (/.f64 (cos.f64 x) (.f64 y (neg.f64 (/.f64 1 y)))))
(.f64 (.f64 y y) (/.f64 1 (*.f64 y (/.f64 y (cos.f64 x)))))
(.f64 (.f64 y 4) (/.f64 1 (/.f64 (*.f64 y 4) (cos.f64 x))))
(.f64 (.f64 (/.f64 (cos.f64 x) y) 4) (/.f64 2 (*.f64 (/.f64 2 y) 4)))
(.f64 (.f64 (cos.f64 x) (+.f64 y y)) (/.f64 1/2 y))
(.f64 (.f64 (cos.f64 x) 4) 1/4)
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (/.f64 -1 (/.f64 1 y)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (/.f64 1 (/.f64 -1 y)))
(.f64 (.f64 (cos.f64 x) (neg.f64 y)) (/.f64 -1 y))
(*.f64 (neg.f64 (cos.f64 x)) -1)
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (/.f64 (neg.f64 y) y)))
(.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (.f64 y (neg.f64 (/.f64 1 y)))))
(*.f64 (/.f64 -1 (/.f64 1 y)) (/.f64 (cos.f64 x) (neg.f64 y)))
(.f64 1/2 (.f64 (cos.f64 x) 2))
(.f64 (/.f64 1/2 y) (.f64 (cos.f64 x) (+.f64 y y)))
(*.f64 (/.f64 1/2 (/.f64 y (cos.f64 x))) (+.f64 y y))
(.f64 (/.f64 y 2) (.f64 (cos.f64 x) (/.f64 2 y)))
(*.f64 (/.f64 1 (/.f64 2 (cos.f64 x))) 2)
(.f64 (.f64 (cos.f64 x) 1/2) 2)
(.f64 (.f64 (cos.f64 x) (/.f64 1/2 y)) (+.f64 y y))
(.f64 (/.f64 -1 y) (.f64 (cos.f64 x) (neg.f64 y)))
(.f64 (.f64 y 1/2) (*.f64 (cos.f64 x) (/.f64 2 y)))
(.f64 (.f64 y (/.f64 1/2 y)) (*.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (/.f64 1 y) (/.f64 2 (cos.f64 x))) (+.f64 y y))
(.f64 (.f64 (/.f64 1 y) (/.f64 y 2)) (*.f64 (cos.f64 x) 2))
(.f64 (.f64 (*.f64 (cos.f64 x) y) 1/2) (/.f64 2 y))
(*.f64 (/.f64 (cos.f64 x) (/.f64 2 y)) (/.f64 2 y))
(.f64 1/4 (.f64 (cos.f64 x) 4))
(.f64 (/.f64 2 (.f64 (/.f64 2 y) 4)) (*.f64 (/.f64 (cos.f64 x) y) 4))
(.f64 (/.f64 y (.f64 y (/.f64 y (cos.f64 x)))) y)
(.f64 (/.f64 1 (.f64 y (/.f64 y (cos.f64 x)))) (*.f64 y y))
(.f64 (/.f64 1 (/.f64 (.f64 y 4) (cos.f64 x))) (*.f64 y 4))
(*.f64 (/.f64 -1 (/.f64 y (cos.f64 x))) (neg.f64 y))
(*.f64 (/.f64 1 (/.f64 -1 y)) (/.f64 (cos.f64 x) (neg.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 (neg.f64 y) y)) -1)
(*.f64 (/.f64 1 (/.f64 (neg.f64 y) y)) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) (.f64 y (neg.f64 (/.f64 1 y)))) -1)
(.f64 (/.f64 1 (.f64 y (neg.f64 (/.f64 1 y)))) (neg.f64 (cos.f64 x)))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 y (cos.f64 x))) (/.f64 1/2 (/.f64 y (cos.f64 x)))) y)
(*.f64 (+.f64 (/.f64 1 (/.f64 2 (cos.f64 x))) (/.f64 1 (/.f64 2 (cos.f64 x)))) 1)
(pow.f64 (cos.f64 x) 1)
(neg.f64 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(cos.f64 (neg.f64 x))
(cos.f64 (+.f64 (PI.f64) (-.f64 x (PI.f64))))
(cos.f64 (-.f64 (PI.f64) (+.f64 x (PI.f64))))
(cos.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))
(cos.f64 (-.f64 (PI.f64) (-.f64 (neg.f64 x) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (PI.f64) (-.f64 x (PI.f64)))))
(cos.f64 (neg.f64 (-.f64 (PI.f64) (+.f64 x (PI.f64)))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(+.f64 0 (cos.f64 x))
(cos.f64 x)
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 x))))
(cos.f64 x)
(+.f64 (.f64 (cos.f64 x) 1/2) (.f64 (cos.f64 x) 1/2))
(cos.f64 x)
(-.f64 (cos.f64 x) 0)
(cos.f64 x)
(-.f64 0 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 y (/.f64 (cos.f64 x) y))
(cos.f64 x)
(.f64 y (/.f64 y (.f64 y (/.f64 y (cos.f64 x)))))
(cos.f64 x)
(.f64 y (+.f64 (/.f64 1/2 (/.f64 y (cos.f64 x))) (.f64 (cos.f64 x) (/.f64 1/2 y))))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) y) y)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(.f64 (/.f64 1 y) (.f64 (cos.f64 x) y))
(cos.f64 x)
(*.f64 2 (/.f64 1 (/.f64 2 (cos.f64 x))))
(cos.f64 x)
(.f64 2 (.f64 (cos.f64 x) 1/2))
(cos.f64 x)
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 y (cos.f64 x))))
(cos.f64 x)
(.f64 (+.f64 y y) (.f64 (cos.f64 x) (/.f64 1/2 y)))
(cos.f64 x)
(*.f64 (+.f64 y y) (/.f64 (/.f64 1 y) (/.f64 2 (cos.f64 x))))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (/.f64 2 y)) (/.f64 y 2))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (/.f64 2 y)) (*.f64 y 1/2))
(cos.f64 x)
(.f64 (/.f64 2 y) (.f64 (*.f64 (cos.f64 x) y) 1/2))
(cos.f64 x)
(*.f64 (/.f64 2 y) (/.f64 (cos.f64 x) (/.f64 2 y)))
(cos.f64 x)
(.f64 (/.f64 2 y) (.f64 (*.f64 (cos.f64 x) 1/2) y))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 2) 1/2)
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 2) (*.f64 y (/.f64 1/2 y)))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 2) (*.f64 (/.f64 1 y) (/.f64 y 2)))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) y) (/.f64 1 y))
(cos.f64 x)
(*.f64 -1 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 -1 (/.f64 (cos.f64 x) (/.f64 (neg.f64 y) y)))
(cos.f64 x)
(.f64 -1 (/.f64 (cos.f64 x) (.f64 y (neg.f64 (/.f64 1 y)))))
(cos.f64 x)
(.f64 (.f64 y y) (/.f64 1 (*.f64 y (/.f64 y (cos.f64 x)))))
(.f64 y (.f64 y (/.f64 (/.f64 1 y) (/.f64 y (cos.f64 x)))))
(.f64 (.f64 y y) (/.f64 (/.f64 1 y) (/.f64 y (cos.f64 x))))
(.f64 (.f64 y y) (/.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 y (/.f64 (cos.f64 x) (*.f64 y y))))
(.f64 (.f64 y 4) (/.f64 1 (/.f64 (*.f64 y 4) (cos.f64 x))))
(cos.f64 x)
(.f64 (.f64 (/.f64 (cos.f64 x) y) 4) (/.f64 2 (*.f64 (/.f64 2 y) 4)))
(.f64 (/.f64 (cos.f64 x) y) (.f64 4 (/.f64 (/.f64 2 (/.f64 2 y)) 4)))
(.f64 4 (.f64 (/.f64 1/2 (/.f64 2 y)) (/.f64 (cos.f64 x) y)))
(.f64 4 (.f64 (/.f64 (cos.f64 x) y) (/.f64 y 4)))
(.f64 (/.f64 y 4) (.f64 (cos.f64 x) (/.f64 4 y)))
(.f64 (.f64 (cos.f64 x) (+.f64 y y)) (/.f64 1/2 y))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 4) 1/4)
(cos.f64 x)
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (cos.f64 x))))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (/.f64 -1 (/.f64 1 y)))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (/.f64 1 (/.f64 -1 y)))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (neg.f64 y)) (/.f64 -1 y))
(cos.f64 x)
(*.f64 (neg.f64 (cos.f64 x)) -1)
(cos.f64 x)
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (/.f64 (neg.f64 y) y)))
(cos.f64 x)
(.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (.f64 y (neg.f64 (/.f64 1 y)))))
(cos.f64 x)
(*.f64 (/.f64 -1 (/.f64 1 y)) (/.f64 (cos.f64 x) (neg.f64 y)))
(cos.f64 x)
(.f64 1/2 (.f64 (cos.f64 x) 2))
(cos.f64 x)
(.f64 (/.f64 1/2 y) (.f64 (cos.f64 x) (+.f64 y y)))
(cos.f64 x)
(*.f64 (/.f64 1/2 (/.f64 y (cos.f64 x))) (+.f64 y y))
(cos.f64 x)
(.f64 (/.f64 y 2) (.f64 (cos.f64 x) (/.f64 2 y)))
(cos.f64 x)
(*.f64 (/.f64 1 (/.f64 2 (cos.f64 x))) 2)
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 1/2) 2)
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) (/.f64 1/2 y)) (+.f64 y y))
(cos.f64 x)
(.f64 (/.f64 -1 y) (.f64 (cos.f64 x) (neg.f64 y)))
(cos.f64 x)
(.f64 (.f64 y 1/2) (*.f64 (cos.f64 x) (/.f64 2 y)))
(cos.f64 x)
(.f64 (.f64 y (/.f64 1/2 y)) (*.f64 (cos.f64 x) 2))
(cos.f64 x)
(*.f64 (/.f64 (/.f64 1 y) (/.f64 2 (cos.f64 x))) (+.f64 y y))
(cos.f64 x)
(.f64 (.f64 (/.f64 1 y) (/.f64 y 2)) (*.f64 (cos.f64 x) 2))
(cos.f64 x)
(.f64 (.f64 (*.f64 (cos.f64 x) y) 1/2) (/.f64 2 y))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) (/.f64 2 y)) (/.f64 2 y))
(cos.f64 x)
(.f64 1/4 (.f64 (cos.f64 x) 4))
(cos.f64 x)
(.f64 (/.f64 2 (.f64 (/.f64 2 y) 4)) (*.f64 (/.f64 (cos.f64 x) y) 4))
(.f64 (/.f64 (cos.f64 x) y) (.f64 4 (/.f64 (/.f64 2 (/.f64 2 y)) 4)))
(.f64 4 (.f64 (/.f64 1/2 (/.f64 2 y)) (/.f64 (cos.f64 x) y)))
(.f64 4 (.f64 (/.f64 (cos.f64 x) y) (/.f64 y 4)))
(.f64 (/.f64 y 4) (.f64 (cos.f64 x) (/.f64 4 y)))
(.f64 (/.f64 y (.f64 y (/.f64 y (cos.f64 x)))) y)
(cos.f64 x)
(.f64 (/.f64 1 (.f64 y (/.f64 y (cos.f64 x)))) (*.f64 y y))
(.f64 y (.f64 y (/.f64 (/.f64 1 y) (/.f64 y (cos.f64 x)))))
(.f64 (.f64 y y) (/.f64 (/.f64 1 y) (/.f64 y (cos.f64 x))))
(.f64 (.f64 y y) (/.f64 (cos.f64 x) (*.f64 y y)))
(.f64 y (.f64 y (/.f64 (cos.f64 x) (*.f64 y y))))
(.f64 (/.f64 1 (/.f64 (.f64 y 4) (cos.f64 x))) (*.f64 y 4))
(cos.f64 x)
(*.f64 (/.f64 -1 (/.f64 y (cos.f64 x))) (neg.f64 y))
(cos.f64 x)
(*.f64 (/.f64 1 (/.f64 -1 y)) (/.f64 (cos.f64 x) (neg.f64 y)))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) (/.f64 (neg.f64 y) y)) -1)
(cos.f64 x)
(*.f64 (/.f64 1 (/.f64 (neg.f64 y) y)) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(.f64 (/.f64 (cos.f64 x) (.f64 y (neg.f64 (/.f64 1 y)))) -1)
(cos.f64 x)
(.f64 (/.f64 1 (.f64 y (neg.f64 (/.f64 1 y)))) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (+.f64 (/.f64 1/2 (/.f64 y (cos.f64 x))) (/.f64 1/2 (/.f64 y (cos.f64 x)))) y)
(cos.f64 x)
(*.f64 (+.f64 (/.f64 1 (/.f64 2 (cos.f64 x))) (/.f64 1 (/.f64 2 (cos.f64 x)))) 1)
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(neg.f64 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(cos.f64 x)
(cos.f64 (neg.f64 x))
(cos.f64 x)
(cos.f64 (+.f64 (PI.f64) (-.f64 x (PI.f64))))
(neg.f64 (cos.f64 (+.f64 x (PI.f64))))
(cos.f64 (+.f64 x 0))
(cos.f64 (-.f64 (PI.f64) (+.f64 x (PI.f64))))
(cos.f64 (+.f64 (PI.f64) (-.f64 x (PI.f64))))
(neg.f64 (cos.f64 (+.f64 x (PI.f64))))
(cos.f64 (+.f64 x 0))
(cos.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))
(cos.f64 x)
(cos.f64 (-.f64 (PI.f64) (-.f64 (neg.f64 x) (PI.f64))))
(cos.f64 x)
(cos.f64 (neg.f64 (+.f64 (PI.f64) (-.f64 x (PI.f64)))))
(cos.f64 (+.f64 (PI.f64) (-.f64 x (PI.f64))))
(neg.f64 (cos.f64 (+.f64 x (PI.f64))))
(cos.f64 (+.f64 x 0))
(cos.f64 (neg.f64 (-.f64 (PI.f64) (+.f64 x (PI.f64)))))
(cos.f64 (+.f64 (PI.f64) (-.f64 x (PI.f64))))
(neg.f64 (cos.f64 (+.f64 x (PI.f64))))
(cos.f64 (+.f64 x 0))

eval174.0ms (1.3%)

Compiler: Compiled 9537 to 5853 computations (38.6% saved)

prune157.0ms (1.1%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	708	6	714
Fresh	0	0	0
Picked	0	1	1
Done	1	7	8
Total	709	14	723

Error

Counts

723 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.5b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 y))
✓	1.1b	(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
▶	28.6b	(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
✓	0.1b	(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
✓	28.4b	(/.f64 (sinh.f64 y) y)
✓	1.4b	(/.f64 y (/.f64 y (cos.f64 x)))
▶	28.7b	(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
✓	0.1b	(/.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x)))
▶	1.6b	(+.f64 (-.f64 1 (neg.f64 (cos.f64 x))) -1)
▶	32.1b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
▶	1.1b	(.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	1.3b	(cos.f64 x)
	28.8b	1

Compiler

Compiled 195 to 149 computations (23.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (cos.f64 x) y)
✓	0.2b	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
✓	0.2b	(.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))))
✓	0.3b	(*.f64 -1/6 y)

Compiler

Compiled 48 to 30 computations (37.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`rational.json-1`
1522×	`rational.json-2`
1522×	`rational.json-4`
1522×	`rational.json-3`
1506×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	107	67
2	249	67
3	601	67
4	1895	67
5	5158	67

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

Outputs

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

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

simplify186.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-35`
1038×	`rational.json-simplify-51`
1002×	`rational.json-simplify-1`
774×	`rational.json-simplify-49`
664×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	474	8015
1	1667	7965
2	5394	7933
3	7921	7933

Stop Event

1×	node limit

Counts

207 → 258

Calls

Call 1

Inputs
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (+.f64 (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/216 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/36 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/36 (pow.f64 y 5)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/216 (pow.f64 y 7)))))
(/.f64 -6 y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 y)) (.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.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)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 y)) (.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(+.f64 (*.f64 -1/6 y) 0)
(+.f64 0 (*.f64 -1/6 y))
(+.f64 (/.f64 (.f64 -1/6 y) 2) (/.f64 (.f64 -1/6 y) 2))
(-.f64 (*.f64 -1/6 y) 0)
(/.f64 (*.f64 -1/6 y) 1)
(/.f64 (*.f64 y -1/3) 2)
(/.f64 (*.f64 y -2/3) 4)
(/.f64 (.f64 2 (.f64 y -2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 y -2/3))) 16)
(pow.f64 (*.f64 -1/6 y) 1)
(+.f64 (/.f64 (cos.f64 x) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) 0)
(+.f64 0 (/.f64 (cos.f64 x) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))
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(/.f64 (neg.f64 (neg.f64 (/.f64 4 (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (cos.f64 x))))) (.f64 y 4))
(pow.f64 (/.f64 (cos.f64 x) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) 1)
(neg.f64 (/.f64 (cos.f64 x) (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (neg.f64 y))))
(+.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 0)
(+.f64 0 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))))
(+.f64 (/.f64 1 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2)) (/.f64 1 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2)))
(+.f64 (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 2) (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 2))
(-.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 0)
(.f64 1 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))))
(.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 1)
(.f64 2 (/.f64 1 (.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)) 2)))
(.f64 2 (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 2))
(.f64 (.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 2) 1/2)
(.f64 1/2 (.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 2))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 2) 2)
(pow.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 1)

Outputs
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))
(+.f64 (.f64 -1/2 (/.f64 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (.f64 y -1/6))) y)) (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))))
(+.f64 (+.f64 (.f64 -1/2 (/.f64 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (.f64 y -1/6))) y)) (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) y)))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (.f64 y -1/6))) y)) (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (.f64 -1/720 (/.f64 (pow.f64 x 6) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6)))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (+.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (.f64 -1/720 (/.f64 (pow.f64 x 6) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))))
(+.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/6)))
(+.f64 (cos.f64 x) (.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 4) 1/36)) (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/6))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x))) (.f64 (cos.f64 x) (.f64 1/36 (pow.f64 y 4)))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/36 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (+.f64 (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/216 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 4) 1/36)) (.f64 (cos.f64 x) (.f64 (pow.f64 y 6) 1/216))) (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/6))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (.f64 1/36 (pow.f64 y 4))) (.f64 (pow.f64 y 6) (.f64 1/216 (cos.f64 x))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (.f64 1/216 (pow.f64 y 6)) (*.f64 1/36 (pow.f64 y 4))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (.f64 1/36 (pow.f64 y 4)) (*.f64 1/216 (pow.f64 y 6))))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))) (*.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (+.f64 (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)))) (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))) (*.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (+.f64 (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)))) (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))))))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/36 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/36 (pow.f64 y 5))))
(+.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 (.f64 1/36 (pow.f64 y 5)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/216 (pow.f64 y 7)))))
(+.f64 y (+.f64 (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 1/216 (pow.f64 y 7))) (*.f64 1/36 (pow.f64 y 5))))
(+.f64 y (+.f64 (.f64 1/36 (pow.f64 y 5)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/216 (pow.f64 y 7)))))
(+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 (.f64 1/216 (pow.f64 y 7)) (*.f64 1/36 (pow.f64 y 5)))))
(+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 (.f64 1/36 (pow.f64 y 5)) (*.f64 1/216 (pow.f64 y 7)))))
(/.f64 -6 y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 y)) (.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (.f64 (/.f64 1 y) 6) (.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (.f64 (/.f64 1 y) 6) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (*.f64 216 (/.f64 1 (pow.f64 y 5))))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(neg.f64 (+.f64 (.f64 (/.f64 1 y) 6) (+.f64 (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))) (.f64 216 (/.f64 1 (pow.f64 y 5))))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 7))) (+.f64 (.f64 (/.f64 1 y) 6) (.f64 36 (/.f64 1 (pow.f64 y 3)))))))
(neg.f64 (+.f64 (.f64 (/.f64 1 y) 6) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 7))) (.f64 216 (/.f64 1 (pow.f64 y 5)))))))
(neg.f64 (+.f64 (.f64 (/.f64 1 y) 6) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(/.f64 -6 y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 y)) (.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (.f64 (/.f64 1 y) 6) (.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (.f64 (/.f64 1 y) 6) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (*.f64 216 (/.f64 1 (pow.f64 y 5))))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(neg.f64 (+.f64 (.f64 (/.f64 1 y) 6) (+.f64 (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))) (.f64 216 (/.f64 1 (pow.f64 y 5))))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 7))) (+.f64 (.f64 (/.f64 1 y) 6) (.f64 36 (/.f64 1 (pow.f64 y 3)))))))
(neg.f64 (+.f64 (.f64 (/.f64 1 y) 6) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 7))) (.f64 216 (/.f64 1 (pow.f64 y 5)))))))
(neg.f64 (+.f64 (.f64 (/.f64 1 y) 6) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(+.f64 (*.f64 -1/6 y) 0)
(*.f64 y -1/6)
(+.f64 0 (*.f64 -1/6 y))
(*.f64 y -1/6)
(+.f64 (/.f64 (.f64 -1/6 y) 2) (/.f64 (.f64 -1/6 y) 2))
(*.f64 y -1/6)
(-.f64 (*.f64 -1/6 y) 0)
(*.f64 y -1/6)
(/.f64 (*.f64 -1/6 y) 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 2 (.f64 2 (*.f64 y -2/3))) 16)
(*.f64 y -1/6)
(pow.f64 (*.f64 -1/6 y) 1)
(*.f64 y -1/6)
(+.f64 (/.f64 (cos.f64 x) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) 0)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 0 (/.f64 (cos.f64 x) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 -1 (-.f64 1 (/.f64 (cos.f64 x) (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (neg.f64 y)))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) y) (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2)) (/.f64 (/.f64 (cos.f64 x) y) (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (+.f64 y y)) (/.f64 (/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (+.f64 y y)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 (/.f64 (cos.f64 x) (.f64 y (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2))) (/.f64 (cos.f64 x) (.f64 y (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) 2) (/.f64 (/.f64 (cos.f64 x) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) 2))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(-.f64 (/.f64 (cos.f64 x) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) 0)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(-.f64 0 (/.f64 (cos.f64 x) (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (neg.f64 y))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (cos.f64 x) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
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(/.f64 (/.f64 y (cos.f64 x)) (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) (.f64 y (/.f64 y (.f64 (cos.f64 x) (cos.f64 x))))))
(/.f64 (/.f64 y (cos.f64 x)) (.f64 y (.f64 (/.f64 y (.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (/.f64 1 y) (.f64 y -1/6)))))
(/.f64 (/.f64 (cos.f64 x) (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (neg.f64 y))) -1)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) y) (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2)) 1/2)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) (+.f64 y y)) 1/2)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (/.f64 (.f64 2 (/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) y) 2)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 2) (/.f64 (/.f64 y (cos.f64 x)) 2))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (.f64 (cos.f64 x) 4)) (neg.f64 (.f64 y (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 4))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (.f64 (cos.f64 x) (/.f64 2 y))) (neg.f64 (.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)) 2)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)))) (neg.f64 (/.f64 y (cos.f64 x))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 y) (/.f64 1 y))))) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 4 (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (cos.f64 x)))) (neg.f64 (.f64 y 4)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 x) (/.f64 2 y)))) (.f64 2 (neg.f64 (.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)) 2))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 x) y) 4) (+.f64 (*.f64 -1/6 y) (/.f64 1 y)))) 8)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 2 (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (.f64 2 (.f64 y (/.f64 2 (cos.f64 x)))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 (.f64 (.f64 (cos.f64 x) 2) 4) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (.f64 2 (.f64 (+.f64 y y) 4)))
(.f64 (/.f64 (.f64 4 (.f64 2 (cos.f64 x))) (+.f64 (/.f64 1 y) (.f64 y -1/6))) (/.f64 2 (*.f64 (+.f64 y y) 8)))
(.f64 (/.f64 (.f64 (cos.f64 x) 8) (+.f64 (/.f64 1 y) (.f64 y -1/6))) (/.f64 1 (.f64 y 8)))
(/.f64 (.f64 2 (/.f64 (.f64 (cos.f64 x) -2) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (.f64 2 (*.f64 2 (neg.f64 y))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 (.f64 (cos.f64 x) -2) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (.f64 2 (neg.f64 (+.f64 y y))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (*.f64 2 (/.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 (cos.f64 x) (.f64 y (+.f64 (*.f64 -1/6 y) (/.f64 1 y)))) 4))) 16)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (.f64 2 (/.f64 4 (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (cos.f64 x))))) (.f64 2 (*.f64 (+.f64 y y) 4)))
(.f64 (/.f64 4 (/.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) (cos.f64 x))) (/.f64 2 (*.f64 4 (+.f64 y y))))
(.f64 2 (/.f64 (/.f64 (cos.f64 x) (/.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) 4)) (*.f64 y 8)))
(/.f64 (.f64 2 (.f64 2 (/.f64 (cos.f64 x) (neg.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))) (.f64 2 (*.f64 2 (neg.f64 y))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (/.f64 (cos.f64 x) y)))) (.f64 2 (.f64 2 (neg.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 (.f64 (cos.f64 x) 2) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y))))) 4)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 (.f64 (cos.f64 x) 4) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y))))) 8)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 -1 (/.f64 y (cos.f64 x)))) (.f64 2 (neg.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 4 (/.f64 y (cos.f64 x)))) (.f64 2 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 4)))
(.f64 (/.f64 4 (/.f64 y (cos.f64 x))) (/.f64 2 (.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 8)))
(/.f64 (.f64 (/.f64 (cos.f64 x) (/.f64 y 8)) 1) (.f64 8 (+.f64 (/.f64 1 y) (*.f64 y -1/6))))
(/.f64 (.f64 2 (/.f64 -2 (/.f64 y (cos.f64 x)))) (.f64 2 (.f64 2 (neg.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y))))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 -2 (/.f64 y (cos.f64 x)))) (.f64 2 (neg.f64 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 8 (/.f64 y (cos.f64 x)))) (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)) 4))))
(.f64 (/.f64 4 (/.f64 y (cos.f64 x))) (/.f64 2 (.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) 8)))
(/.f64 (.f64 (/.f64 (cos.f64 x) (/.f64 y 8)) 1) (.f64 8 (+.f64 (/.f64 1 y) (*.f64 y -1/6))))
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 4) (/.f64 y (cos.f64 x)))) 8)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (.f64 (/.f64 y (cos.f64 x)) (.f64 y (/.f64 2 (cos.f64 x)))))
(.f64 (/.f64 y (.f64 (cos.f64 x) (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (/.f64 2 (.f64 y (*.f64 (/.f64 2 (cos.f64 x)) (/.f64 y (cos.f64 x))))))
(.f64 (/.f64 (/.f64 y (cos.f64 x)) (+.f64 (/.f64 1 y) (.f64 y -1/6))) (/.f64 (/.f64 2 (/.f64 y (cos.f64 x))) (*.f64 y (/.f64 2 (cos.f64 x)))))
(/.f64 (.f64 2 (/.f64 (cos.f64 x) (.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)) (neg.f64 y)))) -2)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (/.f64 (.f64 2 (/.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 y) (/.f64 1 y)))) y)) 4)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (neg.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))))) (*.f64 2 (neg.f64 (/.f64 y (cos.f64 x)))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))) (.f64 2 (neg.f64 (+.f64 y y))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (.f64 2 (neg.f64 (/.f64 4 (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (cos.f64 x))))) (.f64 2 (neg.f64 (.f64 y 4))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (.f64 (/.f64 (cos.f64 x) y) 4)) (neg.f64 (.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)) 4)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 2)) (neg.f64 (*.f64 y (/.f64 2 (cos.f64 x)))))
(/.f64 (neg.f64 (.f64 2 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (neg.f64 (*.f64 y (/.f64 2 (cos.f64 x)))))
(/.f64 (.f64 2 (/.f64 -1 (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (*.f64 (/.f64 2 (cos.f64 x)) (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 x) (/.f64 2 y)))) (.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)) 2))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (/.f64 1 y)))) (neg.f64 (/.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (neg.f64 (/.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 -1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) y) (/.f64 -1 (cos.f64 x)))
(/.f64 (neg.f64 (.f64 2 (/.f64 4 (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (cos.f64 x))))) (neg.f64 (*.f64 (+.f64 y y) 4)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (cos.f64 x) (neg.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))) (neg.f64 (*.f64 2 (neg.f64 y))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (/.f64 (cos.f64 x) y)))) (neg.f64 (.f64 2 (neg.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 2 (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (neg.f64 (.f64 y (/.f64 2 (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 2 (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (neg.f64 (.f64 y (/.f64 2 (cos.f64 x)))))
(/.f64 (/.f64 -2 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 (/.f64 2 (cos.f64 x)) (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (cos.f64 x) 2) 4) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (neg.f64 (.f64 (+.f64 y y) 4)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 (.f64 (cos.f64 x) -2) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (+.f64 y y))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 (.f64 (cos.f64 x) -2) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (neg.f64 (*.f64 2 (neg.f64 y))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 y (cos.f64 x)))) (+.f64 (*.f64 -1/6 y) (/.f64 1 y)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 4 (/.f64 y (cos.f64 x)))) (neg.f64 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 4)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 y (cos.f64 x)))) (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 y (cos.f64 x)))) (neg.f64 (.f64 2 (neg.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y))))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (/.f64 8 (/.f64 y (cos.f64 x)))) (neg.f64 (.f64 2 (.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)) 4))))
(/.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 y 8))) (neg.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) 8)))
(/.f64 (/.f64 -8 (/.f64 y (cos.f64 x))) (neg.f64 (.f64 8 (+.f64 (/.f64 1 y) (.f64 y -1/6)))))
(/.f64 (neg.f64 (/.f64 (/.f64 y (cos.f64 x)) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (neg.f64 (.f64 y (/.f64 (/.f64 y (cos.f64 x)) (cos.f64 x)))))
(/.f64 (neg.f64 (/.f64 y (.f64 (cos.f64 x) (+.f64 (/.f64 1 y) (.f64 y -1/6))))) (neg.f64 (.f64 y (/.f64 y (.f64 (cos.f64 x) (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 y (cos.f64 x)) (neg.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (.f64 (/.f64 y (*.f64 (cos.f64 x) (cos.f64 x))) (neg.f64 y)))
(/.f64 (/.f64 (/.f64 y (cos.f64 x)) (neg.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)))) (.f64 y (neg.f64 (/.f64 y (*.f64 (cos.f64 x) (cos.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))))) (/.f64 y (cos.f64 x)))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))) (+.f64 y y))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (cos.f64 x))))) (.f64 y 4))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(pow.f64 (/.f64 (cos.f64 x) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) 1)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(neg.f64 (/.f64 (cos.f64 x) (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (neg.f64 y))))
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 0)
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 0 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 (/.f64 1 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2)) (/.f64 1 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) 2)))
(+.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y -1/6))))
(+.f64 (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 2) (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 2))
(+.f64 (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (/.f64 1/2 (+.f64 (/.f64 1 y) (.f64 y -1/6))))
(-.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 0)
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(.f64 1 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 1)
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(.f64 2 (/.f64 1 (.f64 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)) 2)))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(.f64 2 (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 2))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(.f64 (.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 2) 1/2)
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(.f64 1/2 (.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 2))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 2) 2)
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(pow.f64 (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) 1)
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

series2.0ms (0%)

Counts

3 → 27

Calls

9 calls:

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

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`rational.json-1`
1520×	`rational.json-2`
1520×	`rational.json-4`
1520×	`rational.json-3`
1514×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	75
1	82	75
2	202	75
3	493	75
4	1554	75
5	4764	75

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

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

Outputs

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

simplify153.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational.json-simplify-61`
1272×	`rational.json-simplify-44`
1082×	`rational.json-simplify-47`
1058×	`rational.json-simplify-35`
798×	`rational.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	343	5036
1	1128	5000
2	6342	5000

Stop Event

1×	node limit

Counts

190 → 195

Calls

Call 1

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`rational.json-1`
1464×	`rational.json-2`
1464×	`rational.json-4`
1464×	`rational.json-3`
1446×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	78	31
2	220	31
3	621	31
4	2060	31
5	5335	31

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify232.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1198×	`rational.json-simplify-35`
1104×	`rational.json-simplify-55`
1040×	`rational.json-simplify-43`
916×	`rational.json-simplify-1`
704×	`rational.json-simplify-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	131	2178
1	260	2146
2	534	2146
3	1332	2146
4	3438	2134
5	5688	2122
6	7344	2122

Stop Event

1×	node limit

Counts

58 → 73

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

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

localize8.0ms (0.1%)

Compiler: Compiled 21 to 17 computations (19% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (-.f64 1 (neg.f64 (cos.f64 x))) -1)
✓	0.4b	(-.f64 1 (neg.f64 (cos.f64 x)))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`rational.json-1`
1472×	`rational.json-2`
1472×	`rational.json-3`
1212×	`rational.json-simplify-2`
1192×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	81	26
2	191	16
3	407	16
4	849	16
5	2078	16
6	4727	16
7	7321	16

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

Inputs
(-.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1 (neg.f64 (cos.f64 x))) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 3 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) -2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (cos.f64 x)) 1/2) (*.f64 (+.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 (neg.f64 (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (-.f64 (+.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 -1 (cos.f64 x)) 2)) (-.f64 1 (/.f64 (-.f64 -1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 (cos.f64 x)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 x) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (*.f64 (cos.f64 x) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 -1 (cos.f64 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (cos.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (-.f64 -1 (cos.f64 x)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (-.f64 -1 (cos.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (cos.f64 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (cos.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 4 (-.f64 -1 (cos.f64 x)))) (neg.f64 (*.f64 4 (-.f64 -1 (cos.f64 x))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (cos.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 -2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) 1/2) (*.f64 (cos.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 3 (neg.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (cos.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) -8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 x) -8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 x) -8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) -8))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (cos.f64 x) -8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (cos.f64 x) 8))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (cos.f64 x) -8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) 8))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (cos.f64 x) -8))) (*.f64 2 (neg.f64 (*.f64 (cos.f64 x) -8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (cos.f64 x) 8))) (neg.f64 (*.f64 2 (*.f64 (cos.f64 x) 8)))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (cos.f64 x) -8))) (neg.f64 (*.f64 2 (*.f64 (cos.f64 x) -8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (*.f64 (PI.f64) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 x (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 x (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (*.f64 (PI.f64) -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 x (*.f64 (PI.f64) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (PI.f64) (-.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) -2) x))))))))

simplify392.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1700×	`rational.json-simplify-35`
1152×	`rational.json-simplify-2`
896×	`trig.json-simplify-13`
886×	`rational.json-simplify-1`
580×	`rational.json-simplify-12`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1257
1	441	1257
2	1285	1257
3	3486	1257
4	4957	1257
5	5937	1257
6	6772	1257
7	7489	1257

Stop Event

1×	node limit

Counts

125 → 122

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 (+.f64 1 (cos.f64 x)) 0)
(+.f64 -1 (+.f64 (cos.f64 x) 2))
(+.f64 0 (+.f64 1 (cos.f64 x)))
(+.f64 2 (+.f64 (cos.f64 x) -1))
(+.f64 -2 (-.f64 3 (neg.f64 (cos.f64 x))))
(+.f64 (+.f64 (cos.f64 x) -1) 2)
(+.f64 (+.f64 (cos.f64 x) 2) -1)
(+.f64 (+.f64 (cos.f64 x) -2) 3)
(+.f64 (.f64 (+.f64 1 (cos.f64 x)) 1/2) (.f64 (+.f64 1 (cos.f64 x)) 1/2))
(+.f64 (-.f64 3 (neg.f64 (cos.f64 x))) -2)
(+.f64 -3 (-.f64 (+.f64 (cos.f64 x) 2) -2))
(+.f64 (-.f64 -1 (/.f64 (-.f64 -1 (cos.f64 x)) 2)) (-.f64 1 (/.f64 (-.f64 -1 (cos.f64 x)) 2)))
(*.f64 1 (+.f64 1 (cos.f64 x)))
(*.f64 (+.f64 1 (cos.f64 x)) 1)
(*.f64 -1 (-.f64 -1 (cos.f64 x)))
(.f64 2 (.f64 (+.f64 1 (cos.f64 x)) 1/2))
(.f64 (+.f64 (.f64 (cos.f64 x) 2) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 1 (cos.f64 x)) 4))
(*.f64 (-.f64 -1 (cos.f64 x)) -1)
(.f64 (.f64 (+.f64 1 (cos.f64 x)) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) 2) 2))
(.f64 (.f64 (+.f64 1 (cos.f64 x)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 1 (cos.f64 x)) 4))
(*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) 2) -2)
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (+.f64 1 (cos.f64 x)) 1)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) 2) 2)
(/.f64 (-.f64 -1 (cos.f64 x)) -1)
(/.f64 (*.f64 (+.f64 1 (cos.f64 x)) 4) 4)
(/.f64 (*.f64 (+.f64 1 (cos.f64 x)) 8) 8)
(/.f64 (+.f64 -2 (*.f64 (cos.f64 x) -2)) -2)
(/.f64 (.f64 2 (.f64 (+.f64 1 (cos.f64 x)) 8)) 16)
(/.f64 (*.f64 4 (-.f64 -1 (cos.f64 x))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (cos.f64 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 4 (-.f64 -1 (cos.f64 x)))) -8)
(/.f64 (neg.f64 (*.f64 4 (-.f64 -1 (cos.f64 x)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (cos.f64 x)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (cos.f64 x)) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 4 (-.f64 -1 (cos.f64 x)))) (neg.f64 (.f64 4 (-.f64 -1 (cos.f64 x))))) 8)
(pow.f64 (+.f64 1 (cos.f64 x)) 1)
(neg.f64 (-.f64 -1 (cos.f64 x)))
(-.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 (cos.f64 x) 0)
(-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) -2))
(-.f64 (+.f64 1 (cos.f64 x)) 1)
(-.f64 -1 (-.f64 -1 (cos.f64 x)))
(-.f64 0 (neg.f64 (cos.f64 x)))
(-.f64 2 (-.f64 2 (cos.f64 x)))
(-.f64 -2 (-.f64 -2 (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 x) -1) -1)
(-.f64 (+.f64 (cos.f64 x) 2) 2)
(-.f64 (+.f64 (cos.f64 x) -2) -2)
(-.f64 (.f64 (cos.f64 x) 1/2) (.f64 (cos.f64 x) -1/2))
(-.f64 (-.f64 3 (neg.f64 (cos.f64 x))) 3)
(*.f64 1 (cos.f64 x))
(*.f64 (cos.f64 x) 1)
(*.f64 (neg.f64 (cos.f64 x)) -1)
(*.f64 -1 (neg.f64 (cos.f64 x)))
(.f64 2 (.f64 (cos.f64 x) 1/2))
(*.f64 4 (/.f64 (cos.f64 x) 4))
(.f64 (.f64 (cos.f64 x) 2) 1/2)
(.f64 -2 (.f64 (cos.f64 x) -1/2))
(.f64 (.f64 (cos.f64 x) -2) -1/2)
(.f64 (.f64 (cos.f64 x) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 x) 2))
(.f64 -1/2 (.f64 (cos.f64 x) -2))
(.f64 (.f64 (cos.f64 x) -1/2) -2)
(.f64 (.f64 (cos.f64 x) 1/2) 2)
(.f64 1/4 (.f64 (cos.f64 x) 4))
(*.f64 (/.f64 (cos.f64 x) 4) 4)
(/.f64 (cos.f64 x) 1)
(/.f64 (neg.f64 (cos.f64 x)) -1)
(/.f64 (*.f64 (cos.f64 x) 2) 2)
(/.f64 (*.f64 (cos.f64 x) -2) -2)
(/.f64 (*.f64 (cos.f64 x) 4) 4)
(/.f64 (*.f64 (cos.f64 x) -4) -4)
(/.f64 (*.f64 (cos.f64 x) 8) 8)
(/.f64 (*.f64 (cos.f64 x) -8) -8)
(/.f64 (.f64 2 (.f64 (cos.f64 x) 8)) 16)
(/.f64 (.f64 2 (.f64 (cos.f64 x) -8)) -16)
(/.f64 (neg.f64 (*.f64 (cos.f64 x) -8)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 x) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 x) -8))) -32)
(/.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 x) -8))) 16)
(/.f64 (neg.f64 (.f64 2 (.f64 (cos.f64 x) 8))) -16)
(/.f64 (neg.f64 (.f64 2 (.f64 (cos.f64 x) -8))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 x) 8))) (.f64 2 (.f64 2 (.f64 (cos.f64 x) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 x) -8))) (.f64 2 (neg.f64 (.f64 (cos.f64 x) -8)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (cos.f64 x) 8))) (neg.f64 (.f64 2 (.f64 (cos.f64 x) 8)))) -32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (cos.f64 x) -8))) (neg.f64 (.f64 2 (.f64 (cos.f64 x) -8)))) 32)
(pow.f64 (cos.f64 x) 1)
(neg.f64 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(cos.f64 (neg.f64 x))
(cos.f64 (-.f64 (*.f64 (PI.f64) 2) x))
(cos.f64 (+.f64 x (*.f64 (PI.f64) 2)))
(cos.f64 (+.f64 x (*.f64 (PI.f64) -2)))
(cos.f64 (-.f64 (*.f64 (PI.f64) -2) x))
(cos.f64 (-.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 x (*.f64 (PI.f64) -2)))))
(cos.f64 (-.f64 (PI.f64) (-.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) -2) x))))

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 2 (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))) 1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) 1)))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (+.f64 1 (cos.f64 x)) 0)
(+.f64 1 (cos.f64 x))
(+.f64 -1 (+.f64 (cos.f64 x) 2))
(+.f64 1 (cos.f64 x))
(+.f64 0 (+.f64 1 (cos.f64 x)))
(+.f64 1 (cos.f64 x))
(+.f64 2 (+.f64 (cos.f64 x) -1))
(+.f64 1 (cos.f64 x))
(+.f64 -2 (-.f64 3 (neg.f64 (cos.f64 x))))
(+.f64 1 (cos.f64 x))
(+.f64 (+.f64 (cos.f64 x) -1) 2)
(+.f64 1 (cos.f64 x))
(+.f64 (+.f64 (cos.f64 x) 2) -1)
(+.f64 1 (cos.f64 x))
(+.f64 (+.f64 (cos.f64 x) -2) 3)
(+.f64 1 (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (cos.f64 x)) 1/2) (.f64 (+.f64 1 (cos.f64 x)) 1/2))
(+.f64 1 (cos.f64 x))
(+.f64 (-.f64 3 (neg.f64 (cos.f64 x))) -2)
(+.f64 1 (cos.f64 x))
(+.f64 -3 (-.f64 (+.f64 (cos.f64 x) 2) -2))
(+.f64 1 (cos.f64 x))
(+.f64 (-.f64 -1 (/.f64 (-.f64 -1 (cos.f64 x)) 2)) (-.f64 1 (/.f64 (-.f64 -1 (cos.f64 x)) 2)))
(*.f64 1 (+.f64 1 (cos.f64 x)))
(+.f64 1 (cos.f64 x))
(*.f64 (+.f64 1 (cos.f64 x)) 1)
(+.f64 1 (cos.f64 x))
(*.f64 -1 (-.f64 -1 (cos.f64 x)))
(+.f64 1 (cos.f64 x))
(.f64 2 (.f64 (+.f64 1 (cos.f64 x)) 1/2))
(+.f64 1 (cos.f64 x))
(.f64 (+.f64 (.f64 (cos.f64 x) 2) 2) 1/2)
(+.f64 1 (cos.f64 x))
(*.f64 4 (/.f64 (+.f64 1 (cos.f64 x)) 4))
(+.f64 1 (cos.f64 x))
(*.f64 (-.f64 -1 (cos.f64 x)) -1)
(+.f64 1 (cos.f64 x))
(.f64 (.f64 (+.f64 1 (cos.f64 x)) 4) 1/4)
(+.f64 1 (cos.f64 x))
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) 2) 2))
(+.f64 1 (cos.f64 x))
(.f64 (.f64 (+.f64 1 (cos.f64 x)) 1/2) 2)
(+.f64 1 (cos.f64 x))
(.f64 1/4 (.f64 (+.f64 1 (cos.f64 x)) 4))
(+.f64 1 (cos.f64 x))
(*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) 2) -2)
(*.f64 -2 (/.f64 (-.f64 -1 (cos.f64 x)) 2))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) 4) 4)
(+.f64 1 (cos.f64 x))
(/.f64 (+.f64 1 (cos.f64 x)) 1)
(+.f64 1 (cos.f64 x))
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) 2) 2)
(+.f64 1 (cos.f64 x))
(/.f64 (-.f64 -1 (cos.f64 x)) -1)
(+.f64 1 (cos.f64 x))
(/.f64 (*.f64 (+.f64 1 (cos.f64 x)) 4) 4)
(+.f64 1 (cos.f64 x))
(/.f64 (*.f64 (+.f64 1 (cos.f64 x)) 8) 8)
(+.f64 1 (cos.f64 x))
(/.f64 (+.f64 -2 (*.f64 (cos.f64 x) -2)) -2)
(/.f64 (.f64 2 (.f64 (+.f64 1 (cos.f64 x)) 8)) 16)
(+.f64 1 (cos.f64 x))
(/.f64 (*.f64 4 (-.f64 -1 (cos.f64 x))) -4)
(+.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (cos.f64 x)) 8))) 32)
(+.f64 1 (cos.f64 x))
(/.f64 (.f64 2 (.f64 4 (-.f64 -1 (cos.f64 x)))) -8)
(+.f64 1 (cos.f64 x))
(/.f64 (neg.f64 (*.f64 4 (-.f64 -1 (cos.f64 x)))) 4)
(+.f64 1 (cos.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (cos.f64 x)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (cos.f64 x)) 8)))) 64)
(+.f64 1 (cos.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 4 (-.f64 -1 (cos.f64 x)))) (neg.f64 (.f64 4 (-.f64 -1 (cos.f64 x))))) 8)
(+.f64 1 (cos.f64 x))
(pow.f64 (+.f64 1 (cos.f64 x)) 1)
(+.f64 1 (cos.f64 x))
(neg.f64 (-.f64 -1 (cos.f64 x)))
(+.f64 1 (cos.f64 x))
(-.f64 1 (-.f64 1 (cos.f64 x)))
(cos.f64 x)
(-.f64 (cos.f64 x) 0)
(cos.f64 x)
(-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) -2))
(cos.f64 x)
(-.f64 (+.f64 1 (cos.f64 x)) 1)
(cos.f64 x)
(-.f64 -1 (-.f64 -1 (cos.f64 x)))
(cos.f64 x)
(-.f64 0 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(-.f64 2 (-.f64 2 (cos.f64 x)))
(cos.f64 x)
(-.f64 -2 (-.f64 -2 (cos.f64 x)))
(cos.f64 x)
(-.f64 (+.f64 (cos.f64 x) -1) -1)
(cos.f64 x)
(-.f64 (+.f64 (cos.f64 x) 2) 2)
(cos.f64 x)
(-.f64 (+.f64 (cos.f64 x) -2) -2)
(cos.f64 x)
(-.f64 (.f64 (cos.f64 x) 1/2) (.f64 (cos.f64 x) -1/2))
(cos.f64 x)
(-.f64 (-.f64 3 (neg.f64 (cos.f64 x))) 3)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 (neg.f64 (cos.f64 x)) -1)
(cos.f64 x)
(*.f64 -1 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(.f64 2 (.f64 (cos.f64 x) 1/2))
(cos.f64 x)
(*.f64 4 (/.f64 (cos.f64 x) 4))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 2) 1/2)
(cos.f64 x)
(.f64 -2 (.f64 (cos.f64 x) -1/2))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) -2) -1/2)
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 4) 1/4)
(cos.f64 x)
(.f64 1/2 (.f64 (cos.f64 x) 2))
(cos.f64 x)
(.f64 -1/2 (.f64 (cos.f64 x) -2))
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) -1/2) -2)
(cos.f64 x)
(.f64 (.f64 (cos.f64 x) 1/2) 2)
(cos.f64 x)
(.f64 1/4 (.f64 (cos.f64 x) 4))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) 4) 4)
(cos.f64 x)
(/.f64 (cos.f64 x) 1)
(cos.f64 x)
(/.f64 (neg.f64 (cos.f64 x)) -1)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) 2) 2)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) -2) -2)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) 4) 4)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) -4) -4)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) 8) 8)
(cos.f64 x)
(/.f64 (*.f64 (cos.f64 x) -8) -8)
(cos.f64 x)
(/.f64 (.f64 2 (.f64 (cos.f64 x) 8)) 16)
(cos.f64 x)
(/.f64 (.f64 2 (.f64 (cos.f64 x) -8)) -16)
(cos.f64 x)
(/.f64 (neg.f64 (*.f64 (cos.f64 x) -8)) 8)
(cos.f64 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 x) 8))) 32)
(cos.f64 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 x) -8))) -32)
(cos.f64 x)
(/.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 x) -8))) 16)
(cos.f64 x)
(/.f64 (neg.f64 (.f64 2 (.f64 (cos.f64 x) 8))) -16)
(cos.f64 x)
(/.f64 (neg.f64 (.f64 2 (.f64 (cos.f64 x) -8))) 16)
(cos.f64 x)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 x) 8))) (.f64 2 (.f64 2 (.f64 (cos.f64 x) 8)))) 64)
(cos.f64 x)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 x) -8))) (.f64 2 (neg.f64 (.f64 (cos.f64 x) -8)))) 32)
(cos.f64 x)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (cos.f64 x) 8))) (neg.f64 (.f64 2 (.f64 (cos.f64 x) 8)))) -32)
(cos.f64 x)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (cos.f64 x) -8))) (neg.f64 (.f64 2 (.f64 (cos.f64 x) -8)))) 32)
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(neg.f64 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(cos.f64 x)
(cos.f64 (neg.f64 x))
(cos.f64 x)
(cos.f64 (-.f64 (*.f64 (PI.f64) 2) x))
(cos.f64 (-.f64 (*.f64 2 (PI.f64)) x))
(cos.f64 (+.f64 x (*.f64 (PI.f64) 2)))
(cos.f64 (+.f64 x (*.f64 2 (PI.f64))))
(cos.f64 (+.f64 x (*.f64 (PI.f64) -2)))
(cos.f64 (+.f64 x (*.f64 -2 (PI.f64))))
(cos.f64 (-.f64 (*.f64 (PI.f64) -2) x))
(cos.f64 (-.f64 (*.f64 -2 (PI.f64)) x))
(cos.f64 (-.f64 x (*.f64 -2 (PI.f64))))
(cos.f64 (-.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 x (*.f64 (PI.f64) -2)))))
(cos.f64 (+.f64 x (*.f64 -2 (PI.f64))))
(cos.f64 (-.f64 (PI.f64) (-.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) -2) x))))
(cos.f64 (-.f64 (*.f64 -2 (PI.f64)) x))
(cos.f64 (-.f64 x (*.f64 -2 (PI.f64))))

eval841.0ms (6.1%)

Compiler: Compiled 12206 to 8781 computations (28.1% saved)

prune1.7s (12.2%)

Pruning

28 alts after pruning (17 fresh and 11 done)

	Pruned	Kept	Total
New	721	16	737
Fresh	0	1	1
Picked	1	0	1
Done	1	11	12
Total	723	28	751

Error

Counts

751 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.5b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 y))
✓	1.1b	(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
	46.0b	(/.f64 (/.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 y y))
✓	28.6b	(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
✓	0.1b	(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
✓	28.4b	(/.f64 (sinh.f64 y) y)
	46.8b	(/.f64 y (/.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) (/.f64 1 (.f64 y y))))
	46.9b	(/.f64 1 (/.f64 (/.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) (.f64 y 1/2)) (/.f64 2 (*.f64 y y))))
	46.9b	(/.f64 1 (/.f64 (/.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) (/.f64 1 (.f64 y y))) y))
	46.8b	(/.f64 1 (/.f64 (/.f64 y (+.f64 (/.f64 1 y) (.f64 y -1/6))) (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) (+.f64 (/.f64 1 y) (.f64 y -1/6))))))
	46.8b	(/.f64 1 (/.f64 (.f64 (+.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)) y)))
	28.7b	(/.f64 1 (/.f64 y (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))
	45.9b	(/.f64 1 (.f64 (/.f64 (/.f64 2 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (/.f64 2 (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))) y))
	28.9b	(/.f64 1 (*.f64 (/.f64 1 y) y))
✓	28.7b	(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
	63.4b	(/.f64 1 (.f64 (.f64 -1/6 y) y))
✓	0.1b	(/.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (cos.f64 x)))
	1.8b	(-.f64 (+.f64 (cos.f64 x) -2) -2)
✓	32.1b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
	28.6b	(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) y)))
	46.8b	(.f64 (/.f64 (/.f64 2 y) y) (/.f64 y (+.f64 (/.f64 2 y) (.f64 y -1/3))))
✓	1.1b	(.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))))
	28.6b	(.f64 (/.f64 2 (+.f64 (/.f64 2 y) (.f64 y -1/3))) (/.f64 1 y))
	46.2b	(.f64 (/.f64 2 (.f64 (+.f64 (/.f64 2 y) (.f64 y -1/3)) (.f64 y y))) y)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
	28.7b	(neg.f64 (/.f64 (/.f64 -1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) y))
✓	1.3b	(cos.f64 x)
	28.8b	1

Compiler

Compiled 404 to 306 computations (24.3% saved)

regimes209.0ms (1.5%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

5 calls:

101.0ms	x
70.0ms	(cos.f64 x)
14.0ms	y
12.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.0b	1	`(cos.f64 x)`
0.0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 405 to 266 computations (34.3% saved)

regimes277.0ms (2%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

62.0ms	(cos.f64 x)
14.0ms	y
13.0ms	x
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`y`
1.1b	1	`(cos.f64 x)`
1.1b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 363 to 250 computations (31.1% saved)

regimes478.0ms (3.5%)

Counts

26 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

4 calls:

398.0ms	(cos.f64 x)
58.0ms	x
12.0ms	y
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`y`
1.3b	1	`(cos.f64 x)`
1.3b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 337 to 236 computations (30% saved)

regimes74.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

58.0ms	x
9.0ms	y

Results

Error	Segments	Branch
28.6b	1	`x`
28.6b	1	`y`

Compiler

Compiled 279 to 200 computations (28.3% saved)

regimes10.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
28.7b	1	`x`
28.7b	1	`y`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes8.0ms (0.1%)

Accuracy

Total -34.8b remaining (-120.8%)

Threshold costs -34.8b (-120.8%)

Counts

3 → 1

Calls

Call 1

Inputs
1
(/.f64 1 (.f64 (.f64 -1/6 y) y))
(/.f64 1 (*.f64 (/.f64 1 y) y))

Outputs
1

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
28.8b	1	`x`
28.8b	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	124

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 56 to 42 computations (25% saved)

soundness0.0ms (0%)

end111.0ms (0.8%)

Compiler: Compiled 46 to 30 computations (34.8% saved)

Details

analyze153.0ms (1.1%)

sample4.7s (34%)

preprocess149.0ms (1.1%)

simplify508.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series9.0ms (0.1%)

rewrite99.0ms (0.7%)

simplify150.0ms (1.1%)

eval70.0ms (0.5%)

prune50.0ms (0.4%)

localize3.0ms (0%)

localize11.0ms (0.1%)

series7.0ms (0.1%)

rewrite104.0ms (0.8%)

simplify123.0ms (0.9%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite88.0ms (0.6%)

simplify134.0ms (1%)

localize10.0ms (0.1%)

series92.0ms (0.7%)

rewrite118.0ms (0.9%)

simplify112.0ms (0.8%)

eval267.0ms (2%)

prune316.0ms (2.3%)

localize14.0ms (0.1%)

series5.0ms (0%)

rewrite117.0ms (0.9%)

simplify134.0ms (1%)

localize4.0ms (0%)

localize6.0ms (0%)

series0.0ms (0%)

rewrite173.0ms (1.3%)

simplify81.0ms (0.6%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite65.0ms (0.5%)

simplify103.0ms (0.8%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite180.0ms (1.3%)

simplify75.0ms (0.5%)

eval174.0ms (1.3%)

prune157.0ms (1.1%)

localize19.0ms (0.1%)

series2.0ms (0%)

rewrite93.0ms (0.7%)

simplify186.0ms (1.4%)

localize57.0ms (0.4%)

series2.0ms (0%)

rewrite90.0ms (0.7%)

simplify153.0ms (1.1%)

localize11.0ms (0.1%)

series0.0ms (0%)

rewrite98.0ms (0.7%)

simplify232.0ms (1.7%)

localize8.0ms (0.1%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite106.0ms (0.8%)

simplify392.0ms (2.9%)

eval841.0ms (6.1%)

prune1.7s (12.2%)

regimes209.0ms (1.5%)

regimes277.0ms (2%)

regimes478.0ms (3.5%)

regimes74.0ms (0.5%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end111.0ms (0.8%)

Profiling