Details

analyze157.0ms (2%)

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)

sample3.6s (46.2%)

Results

954.0ms	2069×	body	1024	valid
820.0ms	2027×	body	1024	infinite
772.0ms	5156×	body	256	valid
471.0ms	1026×	body	512	valid
248.0ms	2059×	body	256	infinite
231.0ms	1088×	body	512	infinite
5.0ms	5×	body	2048	valid

Bogosity

preprocess138.0ms (1.8%)

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)

simplify510.0ms (6.6%)

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 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series9.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite99.0ms (1.3%)

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	32
1	62	32
2	158	32
3	394	32
4	1024	32
5	4630	32

Stop Event

1×	node limit

Counts

2 → 195

Calls

Call 1

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

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

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1780×	`rational.json-simplify-35`
1052×	`rational.json-simplify-51`
888×	`rational.json-simplify-61`
776×	`rational.json-simplify-44`
736×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	6345
1	1694	6159
2	5925	6107

Stop Event

1×	node limit

Counts

231 → 268

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

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

eval59.0ms (0.8%)

Compiler: Compiled 4035 to 1780 computations (55.9% saved)

prune39.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	265	3	268
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	265	4	269

Error

Counts

269 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`rational.json-1`
1724×	`rational.json-2`
1724×	`rational.json-4`
1724×	`rational.json-3`
1700×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	66	32
2	204	32
3	650	32
4	2338	32
5	6241	32

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

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

Outputs

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

simplify200.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational.json-simplify-53`
932×	`rational.json-simplify-2`
836×	`rational.json-simplify-41`
820×	`rational.json-simplify-55`
650×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	3003
1	424	3003
2	932	2959
3	2695	2835
4	4257	2835
5	6562	2835

Stop Event

1×	node limit

Counts

115 → 129

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 7/360 (pow.f64 y 4)) 1))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 1 (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) 1)))
(+.f64 1 (+.f64 (.f64 7/360 (pow.f64 y 4)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 -31/15120 (pow.f64 y 6)))))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 1 (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 (+.f64 1 (.f64 -1/6 (pow.f64 y 2))) (+.f64 (.f64 7/360 (pow.f64 y 4)) (*.f64 -31/15120 (pow.f64 y 6))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.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 (pow.f64 x 2) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) -1/4)))
(+.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))))
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(+.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 (pow.f64 x 2) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) -1/4))))
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(+.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 -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)))))
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(+.f64 (.f64 (pow.f64 x 2) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) -1/4)) (+.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 -1/1440 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 6) 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 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)
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(.f64 1/4 (.f64 (/.f64 y (sinh.f64 y)) 4))
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(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (sinh.f64 y))))
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(.f64 (/.f64 1 (.f64 (sinh.f64 y) 4)) (*.f64 y 4))
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(*.f64 (/.f64 -1 (sinh.f64 y)) (neg.f64 y))
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(pow.f64 (/.f64 y (sinh.f64 y)) 1)
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(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
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(+.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 0)
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y))) (/.f64 (cos.f64 x) (/.f64 (+.f64 y 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) (/.f64 (cos.f64 x) y)) 0)
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(.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
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(.f64 1 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (cos.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (cos.f64 x) 2) (*.f64 (/.f64 1 (+.f64 y y)) (sinh.f64 y)))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 -1 (/.f64 (cos.f64 x) (/.f64 y (neg.f64 (sinh.f64 y)))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 2 (/.f64 (cos.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 2 (/.f64 (sinh.f64 y) (/.f64 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 2 (/.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 2 (.f64 (/.f64 (cos.f64 x) (+.f64 y y)) (sinh.f64 y)))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 2 (.f64 (/.f64 (/.f64 (sinh.f64 y) y) 2) (cos.f64 x)))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (cos.f64 x) (/.f64 y (.f64 (sinh.f64 y) 2))) 1/2)
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
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(*.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))))
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(*.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 (sinh.f64 y) (/.f64 1 (cos.f64 x))))
(.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)))
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(.f64 (/.f64 (/.f64 (sinh.f64 y) y) 2) (.f64 (cos.f64 x) 2))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (.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 (cos.f64 x) (+.f64 y y)) (.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 (/.f64 (sinh.f64 y) y) 1/2) (*.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 (cos.f64 x) (/.f64 y (neg.f64 (sinh.f64 y)))) -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 (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)))
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(*.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 (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 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 (cos.f64 x) (/.f64 (+.f64 y y) (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 (/.f64 (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 (.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 (sinh.f64 y)) 4)) (*.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 1 (.f64 (/.f64 y (cos.f64 x)) 4)) (*.f64 (sinh.f64 y) 4))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.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 (cos.f64 x) (/.f64 y (neg.f64 (sinh.f64 y)))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

localize63.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	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)

series4.0ms (0%)

Counts

3 → 40

Calls

15 calls:

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

rewrite81.0ms (1.1%)

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))))))))

simplify114.0ms (1.5%)

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)))
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(.f64 2 (.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 2 (cos.f64 x)))))
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(.f64 (/.f64 1/2 y) (.f64 2 (*.f64 (cos.f64 x) (sinh.f64 y))))
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(.f64 (.f64 (cos.f64 x) 1/2) (*.f64 (sinh.f64 y) (/.f64 2 y)))
(.f64 (sinh.f64 y) (.f64 1/2 (*.f64 (cos.f64 x) (/.f64 2 y))))
(.f64 (cos.f64 x) (.f64 1/2 (*.f64 (sinh.f64 y) (/.f64 2 y))))
(.f64 1/2 (.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 y))))
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(.f64 (cos.f64 x) (.f64 (/.f64 1/2 y) (*.f64 2 (sinh.f64 y))))
(.f64 2 (.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 1/2 y))))
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(.f64 2 (.f64 (sinh.f64 y) (*.f64 (cos.f64 x) (/.f64 1/2 y))))
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(.f64 (/.f64 1/2 y) (.f64 2 (*.f64 (cos.f64 x) (sinh.f64 y))))
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(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
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(.f64 2 (.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 2 (cos.f64 x)))))
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(*.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)
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(+.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))

eval115.0ms (1.5%)

Compiler: Compiled 5266 to 2565 computations (51.3% saved)

prune51.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	343	2	345
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	343	6	349

Error

Counts

349 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
▶	1.4b	(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
▶	29.3b	(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	1.3b	(cos.f64 x)

Compiler

Compiled 57 to 41 computations (28.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)))

rewrite70.0ms (0.9%)

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)))))))

simplify108.0ms (1.4%)

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)

localize15.0ms (0.2%)

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)

series9.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(+.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)))

rewrite114.0ms (1.5%)

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

simplify108.0ms (1.4%)

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))
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(.f64 -1 (/.f64 (/.f64 (cos.f64 x) (+.f64 (.f64 y -1/6) (/.f64 1 y))) (neg.f64 y)))
(.f64 (.f64 (/.f64 1 y) 2) (/.f64 (cos.f64 x) (+.f64 (.f64 (/.f64 1 y) 2) (.f64 y -1/3))))
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(.f64 (/.f64 1/2 (.f64 y (+.f64 (.f64 y -1/6) (/.f64 1 y)))) (.f64 (cos.f64 x) 2))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 y -1/6) (/.f64 1 y))) 1/2) (.f64 (cos.f64 x) (/.f64 2 y)))
(.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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(neg.f64 (/.f64 (cos.f64 x) (.f64 (+.f64 (.f64 y -1/6) (/.f64 1 y)) (neg.f64 y))))
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(pow.f64 (+.f64 (*.f64 y -1/6) (/.f64 1 y)) 1)
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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))))
(+.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 (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)))))
(+.f64 (.f64 -1/2 (/.f64 (/.f64 (pow.f64 x 2) y) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y)))))
(+.f64 (.f64 -1/2 (/.f64 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (.f64 -1/6 y))) y)) (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 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 -1/2 (/.f64 (pow.f64 x 2) (.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y))))) (+.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y)))))))
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(+.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y))))) (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y)))))))
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(+.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)))))
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(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
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(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(/.f64 (cos.f64 x) (.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y))))
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(.f64 (cos.f64 x) (.f64 (/.f64 2 y) (/.f64 1/2 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(.f64 (/.f64 1/2 y) (.f64 (cos.f64 x) (/.f64 2 (+.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 2 (+.f64 (.f64 y -1/6) (/.f64 1 y))) (/.f64 (cos.f64 x) (+.f64 y 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 1/2 (.f64 y (+.f64 (.f64 y -1/6) (/.f64 1 y)))) (.f64 (cos.f64 x) 2))
(.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 (+.f64 (.f64 y -1/6) (/.f64 1 y))) 1/2) (.f64 (cos.f64 x) (/.f64 2 y)))
(.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (.f64 1/2 (.f64 (cos.f64 x) (/.f64 2 y))))
(.f64 (cos.f64 x) (.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (.f64 1/2 (/.f64 2 y))))
(.f64 1/2 (.f64 (/.f64 2 y) (/.f64 (cos.f64 x) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(.f64 (.f64 (/.f64 1 (.f64 y (+.f64 (.f64 y -1/6) (/.f64 1 y)))) 1/2) (*.f64 (cos.f64 x) 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 (cos.f64 x) (.f64 (+.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 (neg.f64 (+.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)))
(.f64 (/.f64 (cos.f64 x) (neg.f64 (.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)))
(.f64 (/.f64 (/.f64 (cos.f64 x) (neg.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)))
(.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))

eval85.0ms (1.1%)

Compiler: Compiled 5082 to 3288 computations (35.3% saved)

prune157.0ms (2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	309	5	314
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	311	9	320

Error

Counts

320 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
✓	1.4b	(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
▶	29.3b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
▶	30.0b	(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
▶	29.4b	(.f64 (/.f64 2 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) y)
▶	46.4b	(.f64 (/.f64 1 (.f64 y y)) (*.f64 y (sinh.f64 y)))
✓	1.3b	(cos.f64 x)
	30.0b	1

Compiler

Compiled 86 to 61 computations (29.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (sinh.f64 y))
✓	0.1b	(/.f64 1 (*.f64 y y))
✓	34.8b	(.f64 (/.f64 1 (.f64 y y)) (*.f64 y (sinh.f64 y)))

Compiler

Compiled 28 to 11 computations (60.7% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(*.f64 y (sinh.f64 y))
0.0ms	y	@	0	(/.f64 1 (*.f64 y y))
0.0ms	y	@	inf	(*.f64 y (sinh.f64 y))
0.0ms	y	@	0	(*.f64 y (sinh.f64 y))
0.0ms	y	@	0	(.f64 (/.f64 1 (.f64 y y)) (*.f64 y (sinh.f64 y)))

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`exponential.json-3`
1128×	`rational.json-1`
1128×	`rational.json-2`
1128×	`rational.json-4`
1128×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	81	47
2	207	47
3	554	41
4	2534	35

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs

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

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

simplify130.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational.json-simplify-2`
1122×	`rational.json-simplify-35`
696×	`rational.json-simplify-49`
672×	`rational.json-simplify-50`
644×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	2990
1	1210	2966
2	4505	2914
3	7950	2914

Stop Event

1×	node limit

Counts

176 → 194

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))
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(/.f64 (.f64 2 (.f64 y (*.f64 (sinh.f64 y) 4))) 8)
(pow.f64 (*.f64 y (sinh.f64 y)) 1)

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

localize87.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (*.f64 (+.f64 y y) (/.f64 y (sinh.f64 y))))
✓	0.0b	(*.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))
	0.0b	(/.f64 y (sinh.f64 y))
✓	0.2b	(.f64 (/.f64 2 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) y)

Compiler

Compiled 43 to 12 computations (72.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite200.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2244×	`rational.json-1`
1150×	`exponential.json-3`
1150×	`rational.json-2`
1150×	`rational.json-4`
1150×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	87
1	78	75
2	210	63
3	694	63
4	3009	51
5	7814	51

Stop Event

1×	node limit

Counts

3 → 269

Calls

Call 1

Inputs
(.f64 (/.f64 2 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) y)
(*.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))
(/.f64 2 (*.f64 (+.f64 y y) (/.f64 y (sinh.f64 y))))

Outputs

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

simplify287.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1476×	`rational.json-simplify-61`
1466×	`rational.json-simplify-54`
1108×	`rational.json-simplify-51`
988×	`rational.json-simplify-46`
956×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	583	5901
1	2241	5741
2	5472	5719

Stop Event

1×	node limit

Counts

305 → 349

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 2 y)
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(+.f64 (.f64 2 y) (+.f64 (.f64 -31/7560 (pow.f64 y 7)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 7/180 (pow.f64 y 5)))))
(*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 4 (/.f64 (pow.f64 y 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 y 2)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 y 2)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 y 2)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 y 2)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 y 2)))
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(/.f64 y (/.f64 (.f64 (/.f64 (.f64 y 4) (sinh.f64 y)) (neg.f64 y)) -4))
(/.f64 (+.f64 y y) (.f64 2 (.f64 y (/.f64 y (sinh.f64 y)))))
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(*.f64 -1 (/.f64 (/.f64 -1 y) (/.f64 y (sinh.f64 y))))
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(.f64 (/.f64 (/.f64 1/2 y) y) (.f64 2 (sinh.f64 y)))
(.f64 (/.f64 1 (.f64 y y)) (sinh.f64 y))
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(*.f64 (/.f64 (/.f64 -1 y) (/.f64 y (sinh.f64 y))) -1)
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(.f64 (/.f64 (sinh.f64 y) (.f64 2 (*.f64 y y))) 2)
(.f64 (/.f64 1 (.f64 y (.f64 y 4))) (.f64 (sinh.f64 y) 4))
(.f64 (/.f64 (/.f64 (sinh.f64 y) (.f64 y y)) 2) 2)
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(pow.f64 (/.f64 (sinh.f64 y) (*.f64 y y)) 1)
(neg.f64 (/.f64 (/.f64 -1 y) (/.f64 y (sinh.f64 y))))

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

localize15.0ms (0.2%)

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

4 → 27

Calls

12 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 (+.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 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))

rewrite96.0ms (1.2%)

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	82
1	82	82
2	202	82
3	493	82
4	1537	82
5	4744	82

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

simplify130.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational.json-simplify-44`
1156×	`rational.json-simplify-61`
1130×	`rational.json-simplify-35`
1120×	`rational.json-simplify-47`
788×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	5262
1	1194	5226
2	6445	5106

Stop Event

1×	node limit

Counts

200 → 212

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

eval207.0ms (2.7%)

Compiler: Compiled 12785 to 7314 computations (42.8% saved)

prune191.0ms (2.5%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	871	18	889
Fresh	0	1	1
Picked	0	1	1
Done	2	5	7
Total	873	25	898

Error

Counts

898 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
✓	1.4b	(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
✓	29.3b	(/.f64 (sinh.f64 y) y)
	29.3b	(/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 y (/.f64 (sinh.f64 y) y))))) (neg.f64 y))
	45.9b	(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (sinh.f64 y) (*.f64 y y))))
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
	47.0b	(/.f64 1 (/.f64 (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) y) (/.f64 1 (.f64 y y))))
	47.0b	(/.f64 1 (/.f64 (/.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 1 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (+.f64 (.f64 -1/6 y) (/.f64 1 y))))))
	30.0b	(/.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 y (.f64 (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))))
	47.0b	(/.f64 1 (/.f64 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) y)))
	46.1b	(/.f64 1 (/.f64 (.f64 y y) (/.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y)))))
	30.0b	(/.f64 1 (/.f64 y (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
	29.3b	(/.f64 1 (/.f64 y (sinh.f64 y)))
	45.4b	(/.f64 1 (.f64 (/.f64 (/.f64 2 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 (/.f64 2 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) y))
	45.4b	(/.f64 1 (.f64 (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 4) (.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (.f64 2 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))) y))
	30.1b	(/.f64 1 (*.f64 (/.f64 1 y) y))
✓	30.0b	(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
	63.5b	(/.f64 1 (.f64 (.f64 -1/6 y) y))
	30.1b	(*.f64 (/.f64 1 y) y)
	29.8b	(.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 1/120 (pow.f64 y 3)))) y)
	29.9b	(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)
	29.4b	(*.f64 (neg.f64 (/.f64 (/.f64 -1 y) (/.f64 y (sinh.f64 y)))) y)
	30.0b	(neg.f64 (/.f64 (/.f64 -1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) y))
✓	1.3b	(cos.f64 x)
	30.0b	1

Compiler

Compiled 397 to 299 computations (24.7% saved)

regimes68.0ms (0.9%)

Counts

29 → 1

Calls

Call 1

Inputs
1
(*.f64 (/.f64 1 y) y)
(/.f64 1 (.f64 (.f64 -1/6 y) y))
(/.f64 1 (*.f64 (/.f64 1 y) y))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(neg.f64 (/.f64 (/.f64 -1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) y))
(/.f64 1 (/.f64 y (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(/.f64 1 (/.f64 (.f64 y y) (/.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y)))))
(/.f64 1 (/.f64 (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) y) (/.f64 1 (.f64 y y))))
(/.f64 1 (/.f64 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) y)))
(/.f64 1 (/.f64 (/.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 1 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (+.f64 (.f64 -1/6 y) (/.f64 1 y))))))
(/.f64 1 (.f64 (/.f64 (/.f64 2 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 (/.f64 2 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) y))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 y (.f64 (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))))
(/.f64 1 (.f64 (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 4) (.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (.f64 2 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))) y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
(.f64 (/.f64 1 (.f64 y y)) (*.f64 y (sinh.f64 y)))
(*.f64 (neg.f64 (/.f64 (/.f64 -1 y) (/.f64 y (sinh.f64 y)))) y)
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (sinh.f64 y) (*.f64 y y))))
(.f64 (/.f64 2 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) y)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 y (/.f64 (sinh.f64 y) y))))) (neg.f64 y))
(.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 1/120 (pow.f64 y 3)))) y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))

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

Calls

5 calls:

16.0ms	x
15.0ms	y
14.0ms	(cos.f64 x)
11.0ms	(*.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 411 to 267 computations (35% saved)

regimes54.0ms (0.7%)

Counts

26 → 1

Calls

Call 1

Inputs
1
(*.f64 (/.f64 1 y) y)
(/.f64 1 (.f64 (.f64 -1/6 y) y))
(/.f64 1 (*.f64 (/.f64 1 y) y))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) y))
(neg.f64 (/.f64 (/.f64 -1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y))) y))
(/.f64 1 (/.f64 y (/.f64 1 (+.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(/.f64 1 (/.f64 (.f64 y y) (/.f64 y (+.f64 (/.f64 1 y) (.f64 -1/6 y)))))
(/.f64 1 (/.f64 (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) y) (/.f64 1 (.f64 y y))))
(/.f64 1 (/.f64 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) y)))
(/.f64 1 (/.f64 (/.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 1 (.f64 (+.f64 (.f64 -1/6 y) (/.f64 1 y)) (+.f64 (.f64 -1/6 y) (/.f64 1 y))))))
(/.f64 1 (.f64 (/.f64 (/.f64 2 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 (/.f64 2 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) y))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (/.f64 y (.f64 (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y))) (.f64 y (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))))
(/.f64 1 (.f64 (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y))) 4) (.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y)))) (.f64 2 (/.f64 1 (+.f64 (.f64 -1/6 y) (/.f64 1 y)))))) y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
(.f64 (/.f64 1 (.f64 y y)) (*.f64 y (sinh.f64 y)))
(*.f64 (neg.f64 (/.f64 (/.f64 -1 y) (/.f64 y (sinh.f64 y)))) y)
(/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (sinh.f64 y) (*.f64 y y))))
(.f64 (/.f64 2 (.f64 (+.f64 y y) (/.f64 y (sinh.f64 y)))) y)
(/.f64 (/.f64 (cos.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 y (/.f64 (sinh.f64 y) y))))) (neg.f64 y))
(.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 1/120 (pow.f64 y 3)))) y)

Outputs
(cos.f64 x)

Calls

4 calls:

15.0ms	x
13.0ms	y
11.0ms	(cos.f64 x)
6.0ms	(/.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 379 to 256 computations (32.5% saved)

regimes23.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
9.0ms	x

Results

Error	Segments	Branch
29.9b	1	`x`
29.9b	1	`y`

Compiler

Compiled 264 to 196 computations (25.8% saved)

regimes10.0ms (0.1%)

Accuracy

Total -33.7b remaining (-112.1%)

Threshold costs -33.7b (-112.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Error	Segments	Branch
30.0b	1	`x`
30.0b	1	`y`

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

soundness0.0ms (0%)

end24.0ms (0.3%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

Details

analyze157.0ms (2%)

sample3.6s (46.2%)

preprocess138.0ms (1.8%)

simplify510.0ms (6.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series9.0ms (0.1%)

rewrite99.0ms (1.3%)

simplify118.0ms (1.5%)

eval59.0ms (0.8%)

prune39.0ms (0.5%)

localize3.0ms (0%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite90.0ms (1.2%)

simplify200.0ms (2.6%)

localize63.0ms (0.8%)

series4.0ms (0%)

rewrite81.0ms (1.1%)

simplify114.0ms (1.5%)

eval115.0ms (1.5%)

prune51.0ms (0.7%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite70.0ms (0.9%)

simplify108.0ms (1.4%)

localize15.0ms (0.2%)

series9.0ms (0.1%)

rewrite114.0ms (1.5%)

simplify108.0ms (1.4%)

eval85.0ms (1.1%)

prune157.0ms (2%)

localize9.0ms (0.1%)

series4.0ms (0%)

rewrite70.0ms (0.9%)

simplify130.0ms (1.7%)

localize87.0ms (1.1%)

series3.0ms (0%)

rewrite200.0ms (2.6%)

simplify287.0ms (3.7%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite96.0ms (1.2%)

simplify130.0ms (1.7%)

localize6.0ms (0.1%)

eval207.0ms (2.7%)

prune191.0ms (2.5%)

regimes68.0ms (0.9%)

regimes54.0ms (0.7%)

regimes23.0ms (0.3%)

regimes10.0ms (0.1%)

simplify4.0ms (0%)

soundness0.0ms (0%)

end24.0ms (0.3%)

Profiling