Details

analyze156.0ms (2.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
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 (64.9%)

Results

1.1s	1951×	body	256	infinite
712.0ms	2040×	body	1024	valid
637.0ms	2063×	body	1024	infinite
599.0ms	5148×	body	256	valid
300.0ms	987×	body	512	infinite
230.0ms	1065×	body	512	valid
3.0ms	3×	body	2048	valid

Bogosity

preprocess136.0ms (2.4%)

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)

simplify484.0ms (8.6%)

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 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite80.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`bool.json-1`
1920×	`bool.json-2`
1884×	`rational.json-1`
1576×	`bool.json-3`
736×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	92	21
2	279	21
3	674	21
4	1718	21
5	5436	21

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

simplify108.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-49`
1162×	`rational.json-simplify-53`
996×	`rational.json-simplify-1`
788×	`rational.json-simplify-46`
710×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2495
1	709	2495
2	2111	2475
3	4467	2475
4	6960	2475

Stop Event

1×	node limit

Counts

83 → 93

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

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

eval57.0ms (1%)

Compiler: Compiled 1598 to 732 computations (54.2% saved)

prune16.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	3	94

Error

Counts

94 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
▶	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	1.1b	(cos.f64 x)

Compiler

Compiled 22 to 15 computations (31.8% saved)

localize3.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 x) y)
✓	0.3b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite84.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1982×	`bool.json-1`
1982×	`bool.json-2`
1624×	`bool.json-3`
734×	`rational.json-simplify-49`
704×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	92	32
2	279	32
3	680	32
4	1771	32
5	5634	32

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

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

Outputs

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

simplify129.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1028×	`rational.json-simplify-2`
1006×	`rational.json-simplify-38`
870×	`rational.json-simplify-35`
658×	`rational.json-simplify-41`
652×	`rational.json-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	312	3693
1	945	3687
2	2864	3559
3	4510	3559
4	6637	3479

Stop Event

1×	node limit

Counts

139 → 174

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

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

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`rational.json-simplify-35`
1166×	`bool.json-1`
1166×	`bool.json-2`
1140×	`rational.json-1`
1140×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	96	32
2	334	32
3	985	32
4	3220	32

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))) 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 y (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1/2 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (cos.f64 x) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (cos.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) 4) (/.f64 1 (/.f64 (*.f64 y 4) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (*.f64 (cos.f64 x) 2) y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) (/.f64 (*.f64 (cos.f64 x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 y (cos.f64 x))) (*.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 (/.f64 (cos.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 y (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 (cos.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 1 (cos.f64 x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cos.f64 x))) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 y 4) (sinh.f64 y))) (*.f64 (cos.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (cos.f64 x)) 4)) (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (cos.f64 x))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))) (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))) (/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (cos.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (cos.f64 x))) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y (/.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (cos.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 y (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 y (cos.f64 x)) (/.f64 y (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 y (cos.f64 x)) (/.f64 y (cos.f64 x)))))))

simplify158.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

966×	`rational.json-simplify-2`
906×	`rational.json-simplify-53`
778×	`rational.json-simplify-41`
702×	`rational.json-simplify-55`
614×	`rational.json-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	200	2737
1	422	2683
2	961	2649
3	2830	2509
4	4551	2509
5	6474	2485
6	7935	2485

Stop Event

1×	node limit

Counts

99 → 127

Calls

Call 1

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

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

eval246.0ms (4.4%)

Compiler: Compiled 4919 to 2310 computations (53% saved)

prune118.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	300	4	304

Error

Counts

304 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
▶	29.1b	(/.f64 (sinh.f64 y) y)
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	1.1b	(cos.f64 x)

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
✓	29.1b	(/.f64 (sinh.f64 y) y)
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	1.1b	(cos.f64 x)

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes57.0ms (1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	x
5.0ms	(cos.f64 x)
4.0ms	y
4.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(/.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 54 to 27 computations (50% saved)

regimes11.0ms (0.2%)

Accuracy

Total -28.1b remaining (-2496.2%)

Threshold costs -28.1b (-2496.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	(cos.f64 x)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

soundness0.0ms (0%)

end16.0ms (0.3%)

Compiler: Compiled 11 to 6 computations (45.5% saved)

Details

analyze156.0ms (2.8%)

sample3.6s (64.9%)

preprocess136.0ms (2.4%)

simplify484.0ms (8.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series8.0ms (0.1%)

rewrite80.0ms (1.4%)

simplify108.0ms (1.9%)

eval57.0ms (1%)

prune16.0ms (0.3%)

localize3.0ms (0.1%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite84.0ms (1.5%)

simplify129.0ms (2.3%)

localize8.0ms (0.1%)

series3.0ms (0.1%)

rewrite67.0ms (1.2%)

simplify158.0ms (2.8%)

eval246.0ms (4.4%)

prune118.0ms (2.1%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes57.0ms (1%)

regimes11.0ms (0.2%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end16.0ms (0.3%)

Profiling