Details

analyze721.0ms (1.9%)

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)

sample17.8s (45.7%)

Results

5.6s	2099×	body	1024	valid
4.3s	2025×	body	1024	infinite
3.4s	5129×	body	256	valid
2.2s	2088×	body	256	infinite
1.2s	1022×	body	512	valid
916.0ms	1070×	body	512	infinite
8.0ms	6×	body	2048	valid

Bogosity

preprocess1.6s (4.1%)

Algorithm

2×	egg-herbie

Rules

5664×	`rational_best-simplify-108`
3844×	`rational_best-simplify-65`
1600×	`rational_best-simplify-55`
1396×	`rational_best-simplify-1`
640×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	25	42
2	45	42
3	79	42
4	145	42
5	297	42
6	658	42
7	1086	42
8	1788	42
9	2276	42
10	3002	42
11	3490	42
12	3684	42
13	3684	42
14	3698	42
15	4104	42
16	4640	42
17	5266	42
18	5518	42
19	5708	42
20	5746	42
21	5746	42
22	5762	42
23	5770	42
24	7958	42
25	7968	42
26	7986	42
27	7994	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))
(*.f64 (sinh.f64 x) (/.f64 (cos.f64 y) x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify1.6s (4%)

Algorithm

1×	egg-herbie

Rules

5024×	`rational_best-simplify-108`
4484×	`rational_best-simplify-65`
1244×	`rational_best-simplify-107`
758×	`rational_best-simplify-3`
648×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	15	21
2	25	21
3	42	21
4	75	21
5	151	21
6	334	21
7	832	21
8	1391	21
9	1965	21
10	2203	21
11	2448	21
12	2697	21
13	2951	21
14	2992	21
15	3013	21
16	3026	21
17	3032	21
18	3032	21
19	3269	21
20	3514	21
21	3768	21
22	4028	21
23	4294	21
24	7209	21
25	7246	21
26	7265	21
27	7265	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))

eval1.0ms (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)

localize58.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series40.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
9.0ms	y	@	0	(sinh.f64 y)
4.0ms	y	@	-inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	x	@	inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	y	@	inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

rewrite385.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`rational_best-2`
1034×	`rational_best-3`
1034×	`rational_best-1`
1032×	`rational_best-4`
1032×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	62	37
2	150	37
3	516	37
4	2512	37

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

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

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

Outputs

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

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

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

simplify398.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1046×	`rational_best-simplify-67`
924×	`rational_best-simplify-1`
790×	`rational_best-simplify-63`
788×	`rational_best-simplify-47`
620×	`rational_best-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	278	3126
1	668	3122
2	2119	3122

Stop Event

1×	node limit

Counts

154 → 158

Calls

Call 1

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

Outputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(+.f64 (+.f64 y (.f64 1/6 (pow.f64 y 3))) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7))))
(+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) 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))) (pow.f64 x 2)) (/.f64 -1/4 y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.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 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) y)) (.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y))))
(+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 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))) (pow.f64 x 2)) (/.f64 -1/4 y))))
(+.f64 (+.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))) (pow.f64 x 2)) (/.f64 -1/4 y))) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 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 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y)) (+.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) y))) (.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) y))))
(+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (/.f64 -1/1440 y)) (+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 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))) (pow.f64 x 2)) (/.f64 -1/4 y)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y)) (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 y))) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (/.f64 -1/1440 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 1/2 y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 1/2 y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 1/2 y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 1/2 y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 1/2 y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 1/2 y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 1/2 y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) (/.f64 1/2 y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))) (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 1/5040 (pow.f64 y 6)))) (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 1/5040 (pow.f64 y 6))))))
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(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
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eval230.0ms (0.6%)

Compiler: Compiled 2615 to 1305 computations (50.1% saved)

prune952.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	155	3	158
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	3	159

Error

Counts

159 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	28.9b	(.f64 (cos.f64 x) (.f64 (/.f64 (/.f64 1 y) y) (*.f64 y (sinh.f64 y))))
▶	1.1b	(cos.f64 x)

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize5.0ms (0%)

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

localize1.3s (3.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 x) (.f64 (/.f64 (/.f64 1 y) y) (*.f64 y (sinh.f64 y))))
	0.0b	(sinh.f64 y)
✓	0.1b	(/.f64 (/.f64 1 y) y)
✓	28.0b	(.f64 (/.f64 (/.f64 1 y) y) (.f64 y (sinh.f64 y)))

Compiler

Compiled 44 to 20 computations (54.5% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite694.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`rational_best-simplify-55`
644×	`rational_best-simplify-50`
586×	`rational_best-simplify-80`
582×	`rational_best-simplify-49`
582×	`rational_best-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	94	69
2	241	69
3	1014	45
4	7375	45

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

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

Outputs
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Outputs

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simplify1.3s (3.5%)

Algorithm

1×	egg-herbie

Rules

1226×	`rational_best-simplify-47`
962×	`rational_best-simplify-108`
794×	`rational_best-simplify-55`
666×	`rational_best-simplify-49`
660×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	4956
1	1345	4802
2	6019	4694

Stop Event

1×	node limit

Counts

218 → 234

Calls

Call 1

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

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

localize168.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite277.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational_best-simplify-51`
1058×	`rational_best-2`
1058×	`rational_best-3`
1058×	`rational_best-1`
1056×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	62	32
2	150	32
3	522	32
4	2565	32

Stop Event

1×	node limit

Counts

2 → 79

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

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

simplify770.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational_best-simplify-55`
806×	`rational_best-simplify-49`
788×	`rational_best-simplify-1`
784×	`rational_best-simplify-53`
740×	`rational_best-simplify-108`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	2433
1	579	2433
2	1734	2433
3	7750	2433

Stop Event

1×	node limit

Counts

107 → 124

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

Outputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 (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 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/6)) (.f64 (pow.f64 y 4) (.f64 (cos.f64 x) 1/120))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 1/6 (pow.f64 y 2))) (.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 4)))))
(+.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 (pow.f64 y 4) (.f64 (cos.f64 x) 1/120))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 1/5040 (pow.f64 y 6))) (+.f64 (.f64 (cos.f64 x) (.f64 1/6 (pow.f64 y 2))) (.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 4))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 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 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y)))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 y)) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.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) (exp.f64 (neg.f64 y))) (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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) y))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 y)) (+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y)) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 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 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) y)) (.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) y)))))
(+.f64 (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 y)) (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 y))) (+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y)) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (/.f64 -1/1440 y))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 y)) (+.f64 (+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y)) (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 y))) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (/.f64 -1/1440 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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) (exp.f64 (neg.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 y))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 (pow.f64 x 2) (/.f64 -1/2 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 (pow.f64 x 4) (/.f64 1/24 y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (.f64 (pow.f64 x 2) (/.f64 -1/2 y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 (pow.f64 x 2) (/.f64 -1/2 y)) (.f64 (pow.f64 x 4) (/.f64 1/24 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 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 (pow.f64 x 4) (/.f64 1/24 y)) (*.f64 (pow.f64 x 6) (/.f64 -1/720 y)))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (.f64 (pow.f64 x 6) (/.f64 -1/720 y))) (*.f64 (pow.f64 x 2) (/.f64 -1/2 y))))
(+.f64 (.f64 (pow.f64 x 2) (/.f64 -1/2 y)) (+.f64 (.f64 (pow.f64 x 4) (/.f64 1/24 y)) (+.f64 (/.f64 1 y) (*.f64 (pow.f64 x 6) (/.f64 -1/720 y)))))
(+.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(+.f64 0 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(+.f64 (.f64 (sinh.f64 y) (.f64 (/.f64 (cos.f64 x) y) 1/2)) (.f64 (sinh.f64 y) (.f64 (/.f64 (cos.f64 x) y) 1/2)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(-.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(-.f64 (.f64 (sinh.f64 y) (.f64 (/.f64 (cos.f64 x) y) 1/2)) (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (/.f64 y 2))) 2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (.f64 (sinh.f64 y) (.f64 (/.f64 (cos.f64 x) y) 4)) 4)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (.f64 (/.f64 (cos.f64 x) y) (.f64 2 (*.f64 (sinh.f64 y) 4))) 8)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (.f64 (.f64 (/.f64 (cos.f64 x) y) 4) (*.f64 (sinh.f64 y) 4)) 16)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(+.f64 (/.f64 (cos.f64 x) y) 0)
(/.f64 (cos.f64 x) y)
(+.f64 0 (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) y)
(+.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) (.f64 (/.f64 (cos.f64 x) y) 1/2))
(/.f64 (cos.f64 x) y)
(+.f64 (*.f64 (/.f64 (cos.f64 x) y) 2) (/.f64 (neg.f64 (cos.f64 x)) y))
(/.f64 (cos.f64 x) y)
(+.f64 (/.f64 (cos.f64 x) (.f64 y 4)) (/.f64 (.f64 (cos.f64 x) 3) (*.f64 y 4)))
(/.f64 (cos.f64 x) y)
(+.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) 2) (/.f64 (.f64 3/2 (/.f64 (cos.f64 x) y)) 2))
(/.f64 (cos.f64 x) y)
(+.f64 (/.f64 (.f64 3/2 (/.f64 (cos.f64 x) y)) 2) (/.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) 2))
(/.f64 (cos.f64 x) y)
(+.f64 (/.f64 (.f64 (cos.f64 x) 3) (.f64 y 4)) (/.f64 (cos.f64 x) (*.f64 y 4)))
(/.f64 (cos.f64 x) y)
(+.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) -1) (neg.f64 (-.f64 1 (.f64 (/.f64 (cos.f64 x) y) 1/2))))
(/.f64 (cos.f64 x) y)
(+.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) (+.f64 -1 (/.f64 (cos.f64 x) (.f64 y -2)))) -1)
(/.f64 (cos.f64 x) y)
(+.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) y) 2) (.f64 (/.f64 (cos.f64 x) y) 1/2)) (/.f64 (cos.f64 x) (*.f64 y -2)))
(/.f64 (cos.f64 x) y)
(+.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) y) 2) (/.f64 (cos.f64 x) (.f64 y 4))) (neg.f64 (/.f64 (.f64 (cos.f64 x) 3) (.f64 y 4))))
(/.f64 (cos.f64 x) y)
(+.f64 (-.f64 (.f64 (/.f64 (cos.f64 x) y) 2) (/.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) 2)) (neg.f64 (/.f64 (*.f64 3/2 (/.f64 (cos.f64 x) y)) 2)))
(/.f64 (cos.f64 x) y)
(-.f64 (/.f64 (cos.f64 x) y) 0)
(/.f64 (cos.f64 x) y)
(-.f64 (/.f64 (cos.f64 x) y) (-.f64 (.f64 (/.f64 (cos.f64 x) y) 2) (.f64 (/.f64 (cos.f64 x) y) 2)))
(/.f64 (cos.f64 x) y)
(-.f64 0 (/.f64 (neg.f64 (cos.f64 x)) y))
(/.f64 (cos.f64 x) y)
(-.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) (/.f64 (cos.f64 x) (.f64 y -2)))
(/.f64 (cos.f64 x) y)
(-.f64 (*.f64 (/.f64 (cos.f64 x) y) 2) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) y)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) y) (*.f64 -2 (/.f64 (cos.f64 x) y)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) y) (*.f64 (/.f64 (cos.f64 x) y) -2))
(-.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (*.f64 (cos.f64 x) (/.f64 -2 y)))
(-.f64 (/.f64 (cos.f64 x) (.f64 y -2)) (-.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) (*.f64 (/.f64 (cos.f64 x) y) 2)))
(/.f64 (cos.f64 x) y)
(-.f64 (/.f64 (.f64 3/2 (/.f64 (cos.f64 x) y)) 2) (/.f64 (/.f64 (cos.f64 x) (.f64 y -2)) 2))
(/.f64 (cos.f64 x) y)
(-.f64 (/.f64 (.f64 3/2 (/.f64 (cos.f64 x) y)) 2) (+.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 y -2)) 2) 0))
(/.f64 (cos.f64 x) y)
(-.f64 (/.f64 (.f64 (cos.f64 x) 3) (.f64 y 4)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 y 4)))
(/.f64 (cos.f64 x) y)
(-.f64 (/.f64 (.f64 (cos.f64 x) 3) (.f64 y 4)) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 y 4)) 0))
(/.f64 (cos.f64 x) y)
(-.f64 (/.f64 (/.f64 (cos.f64 x) (.f64 y -2)) 2) (-.f64 (/.f64 (.f64 3/2 (/.f64 (cos.f64 x) y)) 2) (*.f64 (/.f64 (cos.f64 x) y) 2)))
(/.f64 (cos.f64 x) y)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 y 4)) (-.f64 (/.f64 (.f64 (cos.f64 x) 3) (.f64 y 4)) (.f64 (/.f64 (cos.f64 x) y) 2)))
(/.f64 (cos.f64 x) y)
(.f64 y (/.f64 (cos.f64 x) (.f64 y y)))
(/.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) (/.f64 1 y))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (cos.f64 x) y) 1)
(/.f64 (cos.f64 x) y)
(*.f64 1 (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (cos.f64 x) 2) (/.f64 1/2 y))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (cos.f64 x) 2) (-.f64 (/.f64 1 y) (/.f64 1/2 y)))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (/.f64 (cos.f64 x) y) 1/2) 2)
(/.f64 (cos.f64 x) y)
(.f64 2 (.f64 (/.f64 (cos.f64 x) y) 1/2))
(/.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 (/.f64 1/2 y) (/.f64 1 (*.f64 y 4))))
(/.f64 (cos.f64 x) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) 2))
(/.f64 (cos.f64 x) y)
(.f64 1/2 (-.f64 (.f64 (/.f64 (cos.f64 x) y) 4) (*.f64 (/.f64 (cos.f64 x) y) 2)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 1 y) (cos.f64 x))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 1 y) (.f64 y (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 1 y) (-.f64 (.f64 (cos.f64 x) 2) (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 1/2 y) (.f64 (cos.f64 x) 2))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 1/2 y) (.f64 y (*.f64 (/.f64 (cos.f64 x) y) 2)))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 1/2 y) (-.f64 (.f64 (cos.f64 x) 4) (*.f64 (cos.f64 x) 2)))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (cos.f64 x) 4))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 1 (.f64 y 4)) (-.f64 (.f64 (.f64 (cos.f64 x) 2) 4) (*.f64 (cos.f64 x) 4)))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (/.f64 (cos.f64 x) y) 4) 1/4)
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (.f64 (cos.f64 x) 2) 4) (/.f64 1 (.f64 (+.f64 y y) 4)))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (.f64 (cos.f64 x) 2) 4) (-.f64 (/.f64 1 (.f64 y 4)) (/.f64 1 (*.f64 (+.f64 y y) 4))))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) y)
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (/.f64 1 (/.f64 1 y)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 y 2)) (/.f64 1 (/.f64 2 y)))
(/.f64 (cos.f64 x) y)
(.f64 -2 (/.f64 (cos.f64 x) (.f64 y -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 (+.f64 y y) 4)) (.f64 (.f64 (cos.f64 x) 2) 4))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 1 (/.f64 1 y)) (/.f64 (cos.f64 x) (.f64 y y)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 1 (/.f64 2 y)) (/.f64 (/.f64 (cos.f64 x) y) (/.f64 y 2)))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 y (cos.f64 x)) (/.f64 (/.f64 1 y) y))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 y (*.f64 (cos.f64 x) 2)) (/.f64 (/.f64 1/2 y) y))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 y (/.f64 (cos.f64 x) y)) (/.f64 1 y))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 y (*.f64 (/.f64 (cos.f64 x) y) 2)) (/.f64 1/2 y))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 y (.f64 (cos.f64 x) 4)) (/.f64 (/.f64 1 (.f64 y 4)) y))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 (/.f64 1 y) y) (.f64 y (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 (/.f64 1/2 y) y) (.f64 y (*.f64 (cos.f64 x) 2)))
(/.f64 (cos.f64 x) y)
(.f64 (/.f64 (/.f64 1 (.f64 y 4)) y) (.f64 y (.f64 (cos.f64 x) 4)))
(/.f64 (cos.f64 x) y)
(pow.f64 (/.f64 (cos.f64 x) y) 1)
(/.f64 (cos.f64 x) y)
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) y))
(/.f64 (cos.f64 x) y)

eval1.2s (3.1%)

Compiler: Compiled 7376 to 3640 computations (50.7% saved)

prune528.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	428	2	430
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	429	4	433

Error

Counts

433 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.5b	(/.f64 (.f64 (sinh.f64 y) (.f64 y (cos.f64 x))) (*.f64 y y))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	30.7b	(*.f64 (sinh.f64 y) (/.f64 1 y))
✓	1.1b	(cos.f64 x)

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize145.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.4b	(*.f64 (sinh.f64 y) (/.f64 1 y))

Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite346.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`rational_best-simplify-82`
822×	`rational_best-simplify-50`
780×	`rational_best-simplify-52`
702×	`rational_best-simplify-54`
608×	`rational_best-simplify-64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	56	11
2	116	11
3	319	11
4	1379	11

Stop Event

1×	node limit

Counts

1 → 312

Calls

Call 1

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

Outputs

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

simplify1.4s (3.5%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational_best-simplify-108`
1192×	`rational_best-simplify-55`
1168×	`rational_best-simplify-1`
538×	`rational_best-simplify-64`
458×	`rational_best-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	646	4710
1	2084	4554
2	7522	4554

Stop Event

1×	node limit

Counts

324 → 340

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 0 (/.f64 (sinh.f64 y) y))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(+.f64 (/.f64 (sinh.f64 y) y) (/.f64 0 y))
(+.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (/.f64 0 y)))
(+.f64 (/.f64 (sinh.f64 y) y) (/.f64 0 (/.f64 y y)))
(+.f64 (/.f64 (sinh.f64 y) y) (/.f64 (/.f64 0 y) (/.f64 y y)))
(+.f64 (/.f64 (sinh.f64 y) y) (/.f64 0 (+.f64 2 (/.f64 0 y))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 (/.f64 y y)) 0))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 (/.f64 0 y) (/.f64 y y)) 0))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 (+.f64 2 (/.f64 0 y))) 0))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 (/.f64 y y)) (/.f64 0 y)))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 (/.f64 0 y) (/.f64 y y)) (/.f64 0 y)))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 (+.f64 2 (/.f64 0 y))) (/.f64 0 y)))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 y) (/.f64 0 (/.f64 y y))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 (/.f64 y y)) (/.f64 0 (/.f64 y y))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 (/.f64 0 y) (/.f64 y y)) (/.f64 0 (/.f64 y y))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 (+.f64 2 (/.f64 0 y))) (/.f64 0 (/.f64 y y))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 y) (/.f64 (/.f64 0 y) (/.f64 y y))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 (/.f64 y y)) (/.f64 (/.f64 0 y) (/.f64 y y))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 (/.f64 0 y) (/.f64 y y)) (/.f64 (/.f64 0 y) (/.f64 y y))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 (+.f64 2 (/.f64 0 y))) (/.f64 (/.f64 0 y) (/.f64 y y))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 y) (/.f64 0 (+.f64 2 (/.f64 0 y)))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 (/.f64 y y)) (/.f64 0 (+.f64 2 (/.f64 0 y)))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 (/.f64 0 y) (/.f64 y y)) (/.f64 0 (+.f64 2 (/.f64 0 y)))))
(+.f64 (/.f64 (sinh.f64 y) y) (+.f64 (/.f64 0 (+.f64 2 (/.f64 0 y))) (/.f64 0 (+.f64 2 (/.f64 0 y)))))
(+.f64 (/.f64 (sinh.f64 y) y) (-.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)))
(+.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (neg.f64 (/.f64 0 y))))
(+.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (/.f64 0 (/.f64 y y))))
(+.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (/.f64 (/.f64 0 y) (/.f64 y y))))
(+.f64 (.f64 (sinh.f64 y) (/.f64 1/2 y)) (.f64 (sinh.f64 y) (/.f64 1/2 y)))
(+.f64 (.f64 (sinh.f64 y) (/.f64 1/2 y)) (+.f64 (.f64 (sinh.f64 y) (/.f64 1/2 y)) (/.f64 0 (/.f64 y y))))
(+.f64 (.f64 (sinh.f64 y) (/.f64 1/2 y)) (+.f64 (.f64 (sinh.f64 y) (/.f64 1/2 y)) (/.f64 (/.f64 0 y) (/.f64 y y))))
(+.f64 (.f64 (sinh.f64 y) (/.f64 1/2 y)) (+.f64 (.f64 (sinh.f64 y) (/.f64 1/2 y)) (/.f64 0 (+.f64 2 (/.f64 0 y)))))
(+.f64 (/.f64 0 y) (/.f64 (sinh.f64 y) y))
(+.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (/.f64 (neg.f64 (sinh.f64 y)) y))
(+.f64 (/.f64 (sinh.f64 y) (.f64 y 4)) (+.f64 (/.f64 (sinh.f64 y) (.f64 y 4)) (*.f64 (sinh.f64 y) (/.f64 1/2 y))))
(+.f64 (neg.f64 (/.f64 0 y)) (/.f64 (sinh.f64 y) y))
(+.f64 (/.f64 0 (/.f64 y y)) (/.f64 (sinh.f64 y) y))
(+.f64 (/.f64 (/.f64 0 y) (/.f64 y y)) (/.f64 (sinh.f64 y) y))
(+.f64 (/.f64 0 (+.f64 2 (/.f64 0 y))) (/.f64 (sinh.f64 y) y))
(+.f64 (-.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y))
(+.f64 (-.f64 (.f64 (sinh.f64 y) (/.f64 2 y)) (.f64 (sinh.f64 y) (/.f64 1/2 y))) (/.f64 (sinh.f64 y) (*.f64 y -2)))
(-.f64 0 (/.f64 (neg.f64 (sinh.f64 y)) y))
(-.f64 0 (+.f64 (/.f64 0 (/.f64 y y)) (/.f64 (neg.f64 (sinh.f64 y)) y)))
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(pow.f64 (/.f64 (sinh.f64 y) y) 1)
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Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
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(/.f64 (-.f64 (/.f64 (.f64 (sinh.f64 y) 4) (.f64 y y)) (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 y))) (/.f64 2 y))
(/.f64 (sinh.f64 y) y)
(/.f64 (-.f64 0 (.f64 (sinh.f64 y) 4)) (.f64 y -4))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (+.f64 y y) (.f64 (sinh.f64 y) 4)) (.f64 (.f64 y 4) (+.f64 y y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (.f64 y 4) (.f64 2 (.f64 (sinh.f64 y) 4))) (.f64 (.f64 y 8) (*.f64 y 4)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (.f64 y 4) (.f64 (sinh.f64 y) (/.f64 4 y))) (.f64 (+.f64 y y) 8))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 8 (.f64 2 (.f64 (sinh.f64 y) 4))) (.f64 (*.f64 y 8) 8))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 4 (.f64 2 (.f64 (sinh.f64 y) 4))) (.f64 (*.f64 y 8) 4))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 y (/.f64 (.f64 (sinh.f64 y) 2) (+.f64 2 (/.f64 0 y)))) (*.f64 y y))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 y (.f64 y (/.f64 (sinh.f64 y) y))) (*.f64 y y))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (+.f64 y y) (.f64 (sinh.f64 y) 2)) (.f64 y (.f64 y 4)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (+.f64 y y) (/.f64 (.f64 (sinh.f64 y) 4) (+.f64 2 (/.f64 0 y)))) (.f64 y (.f64 y 4)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (+.f64 y y) (.f64 (sinh.f64 y) (+.f64 2 (/.f64 0 y)))) (.f64 y (.f64 y 4)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (.f64 y 4) (.f64 (sinh.f64 y) 4)) (.f64 (.f64 y 4) (.f64 y 4)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (.f64 y 4) (.f64 y (.f64 (sinh.f64 y) (/.f64 4 y)))) (.f64 (.f64 y 4) (*.f64 y 4)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (+.f64 y y) (sinh.f64 y)) (.f64 y (+.f64 y y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 1/2 (/.f64 (sinh.f64 y) y)) (.f64 (/.f64 y y) 1/2))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 1/2 (.f64 (sinh.f64 y) (/.f64 1/2 y))) (*.f64 (/.f64 y (+.f64 y y)) 1/2))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (/.f64 y 2) (/.f64 (sinh.f64 y) 2)) (.f64 (/.f64 y 2) (/.f64 y 2)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (.f64 y y))) (*.f64 (/.f64 1 y) (/.f64 1 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (.f64 (+.f64 y y) 8) (.f64 (.f64 (sinh.f64 y) 2) 8)) (.f64 (.f64 (+.f64 y y) 8) (*.f64 (+.f64 y y) 8)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (/.f64 y 2) (sinh.f64 y)) (.f64 y (/.f64 y 2)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (/.f64 1 y) (.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 y))) (*.f64 (/.f64 2 y) (/.f64 1 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 y (.f64 (sinh.f64 y) 4)) (.f64 y (.f64 y 4)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 2 (.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 y))) (/.f64 4 y))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 4 (/.f64 (.f64 (sinh.f64 y) 4) (.f64 y y))) (.f64 (/.f64 4 y) 4))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 1/2 (/.f64 (/.f64 (sinh.f64 y) y) (+.f64 y y))) (.f64 1/2 (/.f64 1/2 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (+.f64 y y) (.f64 (sinh.f64 y) (/.f64 4 y))) (*.f64 y 8))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 1/2 (/.f64 (sinh.f64 y) (.f64 y y))) (*.f64 (/.f64 1 y) 1/2))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 2 (/.f64 (.f64 (sinh.f64 y) 4) (*.f64 y y))) (/.f64 8 y))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (.f64 y 4) (.f64 (sinh.f64 y) (/.f64 8 y))) (.f64 8 (*.f64 y 4)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 2 (/.f64 (sinh.f64 y) (.f64 y y))) (/.f64 2 y))
(/.f64 (sinh.f64 y) y)
(/.f64 (/.f64 (sinh.f64 y) (/.f64 2 y)) (/.f64 y (/.f64 2 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (/.f64 (*.f64 2 (/.f64 (sinh.f64 y) 2)) (/.f64 2 y)) (/.f64 y (/.f64 2 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 y)) (/.f64 y (/.f64 1 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (.f64 y 4) (/.f64 (.f64 (sinh.f64 y) 4) (.f64 y y))) 16)
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (.f64 2 (*.f64 (sinh.f64 y) 4)) (/.f64 8 y)) 64)
(/.f64 (.f64 (.f64 4 (sinh.f64 y)) (*.f64 2 (/.f64 8 y))) 64)
(/.f64 (.f64 (.f64 (sinh.f64 y) 8) (/.f64 8 y)) 64)
(/.f64 (.f64 (/.f64 8 y) (.f64 2 (*.f64 (sinh.f64 y) 4))) 64)
(/.f64 (.f64 (.f64 4 (sinh.f64 y)) (*.f64 2 (/.f64 8 y))) 64)
(/.f64 (.f64 (.f64 (sinh.f64 y) 8) (/.f64 8 y)) 64)
(/.f64 (.f64 (.f64 2 (*.f64 (sinh.f64 y) 4)) (/.f64 1/2 y)) 4)
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (/.f64 1/2 (.f64 y 4)) (.f64 2 (.f64 (sinh.f64 y) 4))) 1)
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (/.f64 1 y) (/.f64 (.f64 (sinh.f64 y) 2) (+.f64 2 (/.f64 0 y)))) (/.f64 y y))
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) y))
(/.f64 (sinh.f64 y) y)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(.f64 (sinh.f64 y) (.f64 y (cos.f64 x)))
✓	0.1b	(*.f64 y (cos.f64 x))
✓	26.8b	(/.f64 (.f64 (sinh.f64 y) (.f64 y (cos.f64 x))) (*.f64 y y))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series31.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	y	@	-inf	(.f64 (sinh.f64 y) (.f64 y (cos.f64 x)))
1.0ms	y	@	inf	(.f64 (sinh.f64 y) (.f64 y (cos.f64 x)))
1.0ms	x	@	-inf	(.f64 (sinh.f64 y) (.f64 y (cos.f64 x)))
1.0ms	x	@	0	(.f64 (sinh.f64 y) (.f64 y (cos.f64 x)))
1.0ms	x	@	inf	(.f64 (sinh.f64 y) (.f64 y (cos.f64 x)))

rewrite737.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`rational_best-simplify-60`
656×	`rational_best-simplify-58`
626×	`rational_best-simplify-53`
618×	`rational_best-simplify-78`
590×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	81	65
2	225	65
3	862	53
4	6052	53

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (+.f64 y y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (+.f64 y y))) 2) (/.f64 (*.f64 3/2 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) (*.f64 (*.f64 y y) 4)) (/.f64 (*.f64 (*.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 3) (*.f64 (*.f64 y y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3/2 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2) (/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (+.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (sinh.f64 y) 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((x -.f64 (/.f64 (*.f64 3/2 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2) (/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (*.f64 -2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3/2 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2) (+.f64 (/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (*.f64 -2 y)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 3) (*.f64 (*.f64 y y) 4)) (/.f64 (neg.f64 (*.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) (*.f64 (*.f64 y y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 3) (*.f64 (*.f64 y y) 4)) (+.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) (*.f64 (*.f64 y y) 4)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) 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(sinh.f64 y)) (*.f64 (cos.f64 x) (/.f64 1 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sinh.f64 y)) (/.f64 (/.f64 (cos.f64 x) (fabs.f64 y)) (fabs.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 2)) (/.f64 1/2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 2)) (/.f64 (/.f64 1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 y y)) (*.f64 y (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 y y)) (/.f64 (cos.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 y y)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (cos.f64 x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 (cos.f64 x) 2)) (/.f64 (sinh.f64 y) (*.f64 y (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sinh.f64 y) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (*.f64 2 (/.f64 (cos.f64 x) y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 2) (/.f64 1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 2) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 4) (/.f64 1 (*.f64 (*.f64 y y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 4) (/.f64 (/.f64 1 y) (*.f64 (+.f64 y y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 y 2)) (/.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 y 2)) (*.f64 1 (/.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (cos.f64 x) y)) (/.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (cos.f64 x) y)) (/.f64 (/.f64 (*.f64 y (sinh.f64 y)) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) 2) (/.f64 (sinh.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) 2) (*.f64 1 (/.f64 (sinh.f64 y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (/.f64 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simplify784.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational_best-simplify-67`
1024×	`rational_best-simplify-1`
970×	`rational_best-simplify-55`
958×	`rational_best-simplify-108`
930×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	504	10671
1	1621	8963
2	5892	8635

Stop Event

1×	node limit

Counts

249 → 272

Calls

Call 1

Inputs
(cos.f64 x)
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(*.f64 (cos.f64 x) y)
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(*.f64 (cos.f64 x) y)
y
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(.f64 (.f64 (.f64 y y) (.f64 y (.f64 (sinh.f64 y) (cos.f64 x)))) (/.f64 (/.f64 1 (.f64 y y)) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 y (.f64 (.f64 (sinh.f64 y) (cos.f64 x)) 2))) (/.f64 (/.f64 1/2 (.f64 y y)) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (/.f64 1 (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 (sinh.f64 y) (cos.f64 x))) (/.f64 (/.f64 1 y) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 (sinh.f64 y) (.f64 2 (/.f64 (cos.f64 x) y)))) (/.f64 1/2 (.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 (.f64 (sinh.f64 y) (cos.f64 x)) 2)) (/.f64 (/.f64 1 (+.f64 y y)) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 4)) (/.f64 (/.f64 1 (.f64 (.f64 y y) 4)) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (sinh.f64 y)) (/.f64 (/.f64 (cos.f64 x) y) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 y (cos.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (.f64 y y)) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 y (sinh.f64 y))) (/.f64 (/.f64 (cos.f64 x) (.f64 y y)) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 (sinh.f64 y) y)) (/.f64 (cos.f64 x) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (cos.f64 x)) (/.f64 (/.f64 (sinh.f64 y) y) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 (sinh.f64 y) (.f64 y y))) (/.f64 (cos.f64 x) y))
(.f64 (.f64 (.f64 y y) (.f64 (sinh.f64 y) 2)) (/.f64 (/.f64 (cos.f64 x) (+.f64 y y)) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 y (.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (sinh.f64 y) (.f64 y (+.f64 y y))) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 (cos.f64 x) y)) (/.f64 (sinh.f64 y) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y))) (/.f64 (/.f64 -1 y) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 (fabs.f64 y) (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))) (/.f64 (/.f64 1 (fabs.f64 y)) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 y (fabs.f64 y))) (/.f64 (/.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (fabs.f64 y)) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 (sinh.f64 y) (neg.f64 y))) (/.f64 (neg.f64 (cos.f64 x)) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (neg.f64 (cos.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 (sinh.f64 y) (fabs.f64 y))) (/.f64 (.f64 (fabs.f64 y) (/.f64 (cos.f64 x) y)) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (.f64 (fabs.f64 y) (/.f64 (cos.f64 x) y))) (/.f64 (/.f64 (sinh.f64 y) (fabs.f64 y)) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 (cos.f64 x) (neg.f64 y))) (/.f64 (neg.f64 (sinh.f64 y)) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (neg.f64 (sinh.f64 y))) (/.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 (cos.f64 x) (fabs.f64 y))) (/.f64 (/.f64 (.f64 y (sinh.f64 y)) (fabs.f64 y)) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 (.f64 y (sinh.f64 y)) (fabs.f64 y))) (/.f64 (/.f64 (cos.f64 x) (fabs.f64 y)) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 -1 y)) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (*.f64 y y)))
(.f64 (.f64 (.f64 y y) (/.f64 1 (fabs.f64 y))) (/.f64 (.f64 (fabs.f64 y) (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (.f64 y y)))
(.f64 (neg.f64 (neg.f64 (.f64 (sinh.f64 y) 2))) (/.f64 (cos.f64 x) (+.f64 y y)))
(.f64 (neg.f64 (neg.f64 (.f64 y (sinh.f64 y)))) (/.f64 (cos.f64 x) (*.f64 y y)))
(.f64 (neg.f64 (neg.f64 (.f64 y (cos.f64 x)))) (/.f64 (sinh.f64 y) (*.f64 y y)))
(.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (/.f64 (*.f64 y (sinh.f64 y)) 2) y) y))
(.f64 (neg.f64 (neg.f64 (.f64 y (.f64 (cos.f64 x) 2)))) (/.f64 (sinh.f64 y) (.f64 y (+.f64 y y))))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(+.f64 (*.f64 y (cos.f64 x)) 0)
(+.f64 0 (*.f64 y (cos.f64 x)))
(+.f64 (/.f64 (.f64 y (cos.f64 x)) 2) (/.f64 (.f64 y (cos.f64 x)) 2))
(-.f64 (*.f64 y (cos.f64 x)) 0)
(-.f64 (/.f64 (.f64 y (cos.f64 x)) 2) (/.f64 (neg.f64 (.f64 y (cos.f64 x))) 2))
(/.f64 (*.f64 y (cos.f64 x)) 1)
(/.f64 (.f64 y (.f64 (cos.f64 x) 2)) 2)
(/.f64 (.f64 (.f64 y (*.f64 (cos.f64 x) 2)) 2) 4)
(/.f64 (+.f64 (.f64 (.f64 y (.f64 (cos.f64 x) 2)) 2) (.f64 (.f64 y (.f64 (cos.f64 x) 2)) 2)) 8)
(/.f64 (*.f64 (+.f64 y y) (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) 4)
(/.f64 (.f64 (.f64 (+.f64 y y) 2) (.f64 2 (.f64 (cos.f64 x) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 2)) (.f64 (+.f64 y y) 2)) 16)
(/.f64 (*.f64 (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x))) (+.f64 y y)) 4)
(pow.f64 (*.f64 y (cos.f64 x)) 1)
(+.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 0)
(+.f64 0 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))))
(+.f64 (/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 2) (/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 2))
(+.f64 (/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 4) (/.f64 (.f64 (.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 3) 4))
(+.f64 (/.f64 (.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 3) 4) (/.f64 (.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 4))
(-.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 0)
(-.f64 (/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 2) (/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) -2))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 3) 4) (/.f64 (neg.f64 (.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) 4))
(/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 1)
(/.f64 (.f64 y (.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 2)) 2)
(/.f64 (.f64 (.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 4)) 8)
(/.f64 (.f64 (.f64 (+.f64 y y) 2) (.f64 (.f64 (sinh.f64 y) 2) (*.f64 (cos.f64 x) 2))) 16)
(/.f64 (.f64 (.f64 (.f64 (sinh.f64 y) 2) 2) (.f64 (.f64 y (.f64 (cos.f64 x) 2)) 2)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 2)) (.f64 (*.f64 (sinh.f64 y) 2) (+.f64 y y))) 16)
(/.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x))) (.f64 y (*.f64 (sinh.f64 y) 2))) 4)
(/.f64 (.f64 (.f64 (.f64 y (.f64 (cos.f64 x) 2)) 2) (.f64 (.f64 (sinh.f64 y) 2) 2)) 16)
(/.f64 (.f64 (.f64 y (*.f64 (sinh.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) 4)
(/.f64 (.f64 (.f64 (.f64 (sinh.f64 y) 2) (+.f64 y y)) (.f64 2 (*.f64 (cos.f64 x) 2))) 16)
(/.f64 (.f64 (.f64 (.f64 (sinh.f64 y) 2) (.f64 (cos.f64 x) 2)) (*.f64 (+.f64 y y) 2)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 2)) (.f64 y (sinh.f64 y))) 4)
(pow.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 1)

Outputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6)))
(+.f64 (.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 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6)) (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (pow.f64 y 4) 1/120))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 (pow.f64 y 6) (.f64 (cos.f64 x) 1/5040)))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 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 (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6)) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 4) 1/120)) (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (pow.f64 y 6) 1/5040)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 y)) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 y)) (+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 y)) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 y)) (+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y)) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 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 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y)) (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 y)) (+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 y)) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (/.f64 -1/1440 y)))))
(+.f64 (+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 y)) (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 y))) (+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y)) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (/.f64 -1/1440 y))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 1/2 y)) (+.f64 (+.f64 (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) (/.f64 -1/4 y)) (.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 1/48 y))) (.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (/.f64 -1/1440 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 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 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/2 y))
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
y
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y)
(+.f64 y (.f64 (pow.f64 x 2) (.f64 y -1/2)))
(+.f64 (.f64 1/24 (.f64 y (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y))
(+.f64 y (+.f64 (.f64 (pow.f64 x 2) (.f64 y -1/2)) (.f64 (pow.f64 x 4) (.f64 y 1/24))))
(+.f64 (.f64 1/24 (.f64 y (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 y (.f64 -1/720 (.f64 y (pow.f64 x 6))))))
(+.f64 (+.f64 y (.f64 (pow.f64 x 6) (.f64 y -1/720))) (+.f64 (.f64 (pow.f64 x 2) (.f64 y -1/2)) (.f64 (pow.f64 x 4) (.f64 y 1/24))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 y -1/2)) (+.f64 (+.f64 y (.f64 y (.f64 (pow.f64 x 6) -1/720))) (.f64 (pow.f64 x 4) (.f64 y 1/24))))
(+.f64 y (+.f64 (.f64 y (.f64 (pow.f64 x 6) -1/720)) (+.f64 (.f64 (pow.f64 x 2) (.f64 y -1/2)) (.f64 (pow.f64 x 4) (.f64 y 1/24)))))
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) (pow.f64 y 2))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 4))) (*.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) (.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 4))))
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(.f64 (.f64 (.f64 y y) (neg.f64 (sinh.f64 y))) (/.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (.f64 y y)))
(.f64 (cos.f64 x) (/.f64 (.f64 (sinh.f64 y) (/.f64 (.f64 y y) y)) (.f64 y y)))
(.f64 (sinh.f64 y) (.f64 (/.f64 (cos.f64 x) (*.f64 y y)) (/.f64 y (/.f64 y y))))
(.f64 (/.f64 (cos.f64 x) y) (.f64 (sinh.f64 y) (+.f64 (/.f64 y y) (/.f64 0 y))))
(.f64 (.f64 (.f64 y y) (/.f64 (cos.f64 x) (fabs.f64 y))) (/.f64 (/.f64 (.f64 y (sinh.f64 y)) (fabs.f64 y)) (*.f64 y y)))
(.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 (.f64 (cos.f64 x) (.f64 y (sinh.f64 y))) (.f64 y y)) (*.f64 y y)))
(.f64 (sinh.f64 y) (/.f64 (.f64 (.f64 y y) (.f64 (cos.f64 x) y)) (.f64 (.f64 y y) (*.f64 y y))))
(.f64 (.f64 (.f64 y y) (/.f64 (.f64 y (sinh.f64 y)) (fabs.f64 y))) (/.f64 (/.f64 (cos.f64 x) (fabs.f64 y)) (*.f64 y y)))
(.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 (.f64 (cos.f64 x) (.f64 y (sinh.f64 y))) (.f64 y y)) (*.f64 y y)))
(.f64 (sinh.f64 y) (/.f64 (.f64 (.f64 y y) (.f64 (cos.f64 x) y)) (.f64 (.f64 y y) (*.f64 y y))))
(.f64 (.f64 (.f64 y y) (/.f64 -1 y)) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (*.f64 y y)))
(.f64 (cos.f64 x) (/.f64 (.f64 (sinh.f64 y) (/.f64 (.f64 y y) y)) (.f64 y y)))
(.f64 (sinh.f64 y) (.f64 (/.f64 (cos.f64 x) (*.f64 y y)) (/.f64 y (/.f64 y y))))
(.f64 (/.f64 (cos.f64 x) y) (.f64 (sinh.f64 y) (+.f64 (/.f64 y y) (/.f64 0 y))))
(.f64 (.f64 (.f64 y y) (/.f64 1 (fabs.f64 y))) (/.f64 (.f64 (fabs.f64 y) (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (.f64 y y)))
(.f64 (/.f64 1 (.f64 y y)) (/.f64 (.f64 (.f64 (cos.f64 x) (.f64 y (sinh.f64 y))) (.f64 y y)) (*.f64 y y)))
(.f64 (sinh.f64 y) (/.f64 (.f64 (.f64 y y) (.f64 (cos.f64 x) y)) (.f64 (.f64 y y) (*.f64 y y))))
(.f64 (neg.f64 (neg.f64 (.f64 (sinh.f64 y) 2))) (/.f64 (cos.f64 x) (+.f64 y y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (neg.f64 (neg.f64 (.f64 y (sinh.f64 y)))) (/.f64 (cos.f64 x) (*.f64 y y)))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (.f64 y (sinh.f64 y))) 3) (.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))) (.f64 4 (*.f64 y y)))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (*.f64 y (sinh.f64 y))) 0)
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (*.f64 y (sinh.f64 y)))
(.f64 (neg.f64 (neg.f64 (.f64 y (cos.f64 x)))) (/.f64 (sinh.f64 y) (*.f64 y y)))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (.f64 y (sinh.f64 y))) 3) (.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))) (.f64 4 (*.f64 y y)))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (*.f64 y (sinh.f64 y))) 0)
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (*.f64 y (sinh.f64 y)))
(.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (/.f64 (*.f64 y (sinh.f64 y)) 2) y) y))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (.f64 y (sinh.f64 y))) 3) (.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))) (.f64 4 (*.f64 y y)))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (*.f64 y (sinh.f64 y))) 0)
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (*.f64 y (sinh.f64 y)))
(.f64 (neg.f64 (neg.f64 (.f64 y (.f64 (cos.f64 x) 2)))) (/.f64 (sinh.f64 y) (.f64 y (+.f64 y y))))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (.f64 y (sinh.f64 y))) 3) (.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))) (.f64 4 (*.f64 y y)))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (*.f64 y (sinh.f64 y))) 0)
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (*.f64 y (sinh.f64 y)))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (*.f64 (neg.f64 (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 (*.f64 y (cos.f64 x)) 0)
(*.f64 (cos.f64 x) y)
(+.f64 0 (*.f64 y (cos.f64 x)))
(*.f64 (cos.f64 x) y)
(+.f64 (/.f64 (.f64 y (cos.f64 x)) 2) (/.f64 (.f64 y (cos.f64 x)) 2))
(*.f64 (cos.f64 x) y)
(-.f64 (*.f64 y (cos.f64 x)) 0)
(*.f64 (cos.f64 x) y)
(-.f64 (/.f64 (.f64 y (cos.f64 x)) 2) (/.f64 (neg.f64 (.f64 y (cos.f64 x))) 2))
(*.f64 (cos.f64 x) y)
(/.f64 (*.f64 y (cos.f64 x)) 1)
(*.f64 (cos.f64 x) y)
(/.f64 (.f64 y (.f64 (cos.f64 x) 2)) 2)
(*.f64 (cos.f64 x) y)
(/.f64 (.f64 (.f64 y (*.f64 (cos.f64 x) 2)) 2) 4)
(*.f64 (cos.f64 x) y)
(/.f64 (+.f64 (.f64 (.f64 y (.f64 (cos.f64 x) 2)) 2) (.f64 (.f64 y (.f64 (cos.f64 x) 2)) 2)) 8)
(*.f64 (cos.f64 x) y)
(/.f64 (*.f64 (+.f64 y y) (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) 4)
(/.f64 (.f64 (.f64 (+.f64 y y) 2) (.f64 2 (.f64 (cos.f64 x) 2))) 16)
(/.f64 (.f64 (.f64 (cos.f64 x) 2) (.f64 2 (.f64 2 (+.f64 y y)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 y (.f64 (cos.f64 x) 4)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 2)) (.f64 (+.f64 y y) 2)) 16)
(/.f64 (.f64 (.f64 (cos.f64 x) 2) (.f64 2 (.f64 2 (+.f64 y y)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 y (.f64 (cos.f64 x) 4)))) 16)
(/.f64 (*.f64 (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x))) (+.f64 y y)) 4)
(/.f64 (*.f64 (+.f64 y y) (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) 4)
(pow.f64 (*.f64 y (cos.f64 x)) 1)
(*.f64 (cos.f64 x) y)
(+.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 0)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(+.f64 0 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(+.f64 (/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 2) (/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 2))
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(+.f64 (/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 4) (/.f64 (.f64 (.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 3) 4))
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(+.f64 (/.f64 (.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 3) 4) (/.f64 (.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 4))
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(-.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 0)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(-.f64 (/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 2) (/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) -2))
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 3) 4) (/.f64 (neg.f64 (.f64 y (*.f64 (sinh.f64 y) (cos.f64 x)))) 4))
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 1)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 y (.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 2)) 2)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 (.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) 4) 4)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 2 (.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 4)) 8)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 (.f64 (+.f64 y y) 2) (.f64 (.f64 (sinh.f64 y) 2) (*.f64 (cos.f64 x) 2))) 16)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 (.f64 (.f64 (sinh.f64 y) 2) 2) (.f64 (.f64 y (.f64 (cos.f64 x) 2)) 2)) 16)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 2)) (.f64 (*.f64 (sinh.f64 y) 2) (+.f64 y y))) 16)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x))) (.f64 y (*.f64 (sinh.f64 y) 2))) 4)
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (*.f64 y (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x))))) 4)
(/.f64 (.f64 (.f64 (.f64 y (.f64 (cos.f64 x) 2)) 2) (.f64 (.f64 (sinh.f64 y) 2) 2)) 16)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 (.f64 y (*.f64 (sinh.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x)))) 4)
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (*.f64 y (+.f64 (cos.f64 x) (cos.f64 (neg.f64 x))))) 4)
(/.f64 (.f64 (.f64 (.f64 (sinh.f64 y) 2) (+.f64 y y)) (.f64 2 (*.f64 (cos.f64 x) 2))) 16)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 (.f64 (.f64 (sinh.f64 y) 2) (.f64 (cos.f64 x) 2)) (*.f64 (+.f64 y y) 2)) 16)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 x) 2)) (.f64 y (sinh.f64 y))) 4)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))
(pow.f64 (.f64 y (.f64 (sinh.f64 y) (cos.f64 x))) 1)
(.f64 (cos.f64 x) (.f64 y (sinh.f64 y)))

eval1.4s (3.5%)

Compiler: Compiled 11213 to 5162 computations (54% saved)

prune520.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	680	4	684
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	681	7	688

Error

Counts

688 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.5b	(/.f64 (.f64 (sinh.f64 y) (.f64 y (cos.f64 x))) (*.f64 y y))
▶	28.6b	(/.f64 (.f64 y (.f64 y (cos.f64 x))) (*.f64 y y))
▶	30.6b	(/.f64 (sinh.f64 y) y)
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	31.2b	(*.f64 y (/.f64 1 y))
✓	1.1b	(cos.f64 x)
	31.1b	1

Compiler

Compiled 54 to 36 computations (33.3% saved)

localize34.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 y (/.f64 1 y))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite216.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`rational_best-simplify-49`
998×	`rational_best-simplify-55`
846×	`rational_best-simplify-53`
640×	`rational_best-2`
640×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	44	7
2	100	7
3	314	1
4	2554	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify75.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize36.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (.f64 y (cos.f64 x)))
	0.1b	(*.f64 y (cos.f64 x))
✓	26.8b	(/.f64 (.f64 y (.f64 y (cos.f64 x))) (*.f64 y y))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series29.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(.f64 y (.f64 y (cos.f64 x)))
4.0ms	x	@	0	(.f64 y (.f64 y (cos.f64 x)))
0.0ms	x	@	-inf	(.f64 y (.f64 y (cos.f64 x)))
0.0ms	y	@	inf	(.f64 y (.f64 y (cos.f64 x)))
0.0ms	y	@	0	(.f64 y (.f64 y (cos.f64 x)))

rewrite468.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`rational_best-simplify-78`
804×	`rational_best-simplify-80`
744×	`rational_best-simplify-67`
646×	`rational_best-simplify-54`
636×	`rational_best-simplify-64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	75	34
2	220	34
3	1172	34

Stop Event

1×	node limit

Counts

2 → 400

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (/.f64 0 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (/.f64 0 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (+.f64 (/.f64 0 y) (/.f64 0 (/.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (+.f64 (/.f64 0 (*.f64 y y)) (/.f64 0 (/.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (+.f64 (/.f64 0 y) (/.f64 (*.f64 y 0) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (+.f64 (/.f64 0 (*.f64 y y)) (/.f64 (*.f64 y 0) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (+.f64 (/.f64 0 y) (/.f64 (/.f64 0 (*.f64 y y)) (/.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (+.f64 (/.f64 0 (*.f64 y y)) (/.f64 (/.f64 0 (*.f64 y y)) (/.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 x) (/.f64 0 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (/.f64 0 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (/.f64 0 y)) (/.f64 0 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (/.f64 0 y)) (/.f64 0 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (/.f64 0 y)) (neg.f64 (/.f64 0 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (/.f64 0 y)) (neg.f64 (/.f64 0 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (/.f64 0 y)) (/.f64 0 (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (/.f64 0 y)) (/.f64 (*.f64 y 0) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (/.f64 0 y)) (/.f64 (/.f64 0 (*.f64 y y)) (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (/.f64 0 y)) (+.f64 (/.f64 0 (/.f64 y y)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (/.f64 0 y)) (+.f64 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simplify739.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1622×	`rational_best-simplify-55`
1332×	`rational_best-simplify-1`
1098×	`rational_best-simplify-50`
1084×	`rational_best-simplify-53`
956×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	818	17590
1	2428	16492

Stop Event

1×	node limit

Counts

448 → 695

Calls

Call 1

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

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

eval837.0ms (2.2%)

Compiler: Compiled 14299 to 5604 computations (60.8% saved)

prune711.0ms (1.8%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	833	3	836
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	833	10	843

Error

Counts

843 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.5b	(/.f64 (.f64 (sinh.f64 y) (.f64 y (cos.f64 x))) (*.f64 y y))
✓	28.6b	(/.f64 (.f64 y (.f64 y (cos.f64 x))) (*.f64 y y))
✓	30.6b	(/.f64 (sinh.f64 y) y)
	1.5b	(*.f64 (/.f64 (cos.f64 x) 2) (/.f64 (/.f64 4 (/.f64 2 y)) y))
	30.0b	(.f64 (.f64 y y) (.f64 (cos.f64 x) (/.f64 1 (.f64 y y))))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
	40.1b	(.f64 y (/.f64 (.f64 y (.f64 (cos.f64 x) (neg.f64 y))) (.f64 (*.f64 y y) (neg.f64 y))))
✓	31.2b	(*.f64 y (/.f64 1 y))
✓	1.1b	(cos.f64 x)
	31.1b	1

Compiler

Compiled 100 to 65 computations (35% saved)

regimes149.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
1
(*.f64 y (/.f64 1 y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (.f64 y (.f64 y (cos.f64 x))) (*.f64 y y))
(.f64 (.f64 y y) (.f64 (cos.f64 x) (/.f64 1 (.f64 y y))))
(*.f64 (/.f64 (cos.f64 x) 2) (/.f64 (/.f64 4 (/.f64 2 y)) y))
(.f64 y (/.f64 (.f64 y (.f64 (cos.f64 x) (neg.f64 y))) (.f64 (*.f64 y y) (neg.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (.f64 (sinh.f64 y) (.f64 y (cos.f64 x))) (*.f64 y y))
(.f64 (cos.f64 x) (.f64 (/.f64 (/.f64 1 y) y) (*.f64 y (sinh.f64 y))))

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

Calls

5 calls:

50.0ms	(cos.f64 x)
42.0ms	y
25.0ms	x
24.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.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 133 to 62 computations (53.4% saved)

regimes148.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
1
(*.f64 y (/.f64 1 y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (.f64 y (.f64 y (cos.f64 x))) (*.f64 y y))
(.f64 (.f64 y y) (.f64 (cos.f64 x) (/.f64 1 (.f64 y y))))
(*.f64 (/.f64 (cos.f64 x) 2) (/.f64 (/.f64 4 (/.f64 2 y)) y))
(.f64 y (/.f64 (.f64 y (.f64 (cos.f64 x) (neg.f64 y))) (.f64 (*.f64 y y) (neg.f64 y))))

Outputs
(cos.f64 x)

Calls

4 calls:

46.0ms	x
41.0ms	y
11.0ms	(/.f64 (sinh.f64 y) y)
9.0ms	(cos.f64 x)

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 86 to 45 computations (47.7% saved)

regimes13.0ms (0%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

6.0ms	y
6.0ms	x

Results

Error	Segments	Branch
31.1b	1	`x`
31.1b	1	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 16 to 12 computations (25% saved)

soundness0.0ms (0%)

end101.0ms (0.3%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

Details

analyze721.0ms (1.9%)

sample17.8s (45.7%)

preprocess1.6s (4.1%)

simplify1.6s (4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize58.0ms (0.1%)

series40.0ms (0.1%)

rewrite385.0ms (1%)

simplify398.0ms (1%)

eval230.0ms (0.6%)

prune952.0ms (2.4%)

localize5.0ms (0%)

localize1.3s (3.3%)

series3.0ms (0%)

rewrite694.0ms (1.8%)

simplify1.3s (3.5%)

localize168.0ms (0.4%)

series5.0ms (0%)

rewrite277.0ms (0.7%)

simplify770.0ms (2%)

eval1.2s (3.1%)

prune528.0ms (1.4%)

localize145.0ms (0.4%)

series0.0ms (0%)

rewrite346.0ms (0.9%)

simplify1.4s (3.5%)

localize31.0ms (0.1%)

series31.0ms (0.1%)

rewrite737.0ms (1.9%)

simplify784.0ms (2%)

eval1.4s (3.5%)

prune520.0ms (1.3%)

localize34.0ms (0.1%)

series0.0ms (0%)

rewrite216.0ms (0.6%)

simplify75.0ms (0.2%)

localize7.0ms (0%)

localize36.0ms (0.1%)

series29.0ms (0.1%)

rewrite468.0ms (1.2%)

simplify739.0ms (1.9%)

eval837.0ms (2.2%)

prune711.0ms (1.8%)

regimes149.0ms (0.4%)

regimes148.0ms (0.4%)

regimes13.0ms (0%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end101.0ms (0.3%)

Profiling