Details

analyze140.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
26.7%	25%	68.7%	0.1%	6.2%	0%	0%	6
48.3%	43.7%	46.8%	0.1%	9.4%	0%	0%	7
50.9%	43.7%	42.1%	0.1%	14%	0%	0%	8
56.1%	46.8%	36.7%	0.1%	16.4%	0%	0%	9
58%	46.8%	34%	0.1%	19.1%	0%	0%	10
60.9%	48.4%	31%	0.1%	20.5%	0%	0%	11
62.1%	48.4%	29.6%	0.1%	22%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample5.7s (26.9%)

Results

1.8s	2083×	body	1024	infinite
1.4s	2105×	body	1024	valid
1.3s	5125×	body	256	valid
419.0ms	1041×	body	512	infinite
398.0ms	1420×	body	256	infinite
291.0ms	1021×	body	512	valid
4.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess770.0ms (3.7%)

Algorithm

2×	egg-herbie

Rules

1526×	`rational.json-simplify-35`
1158×	`rational.json-simplify-26`
1054×	`rational.json-simplify-1`
716×	`rational.json-simplify-43`
674×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	27	42
2	37	42
3	58	42
4	99	42
5	204	42
6	510	42
7	830	42
8	1562	42
9	2236	42
10	3882	42
11	6235	42
12	7541	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1676×	`rational.json-simplify-35`
1004×	`rational.json-simplify-51`
988×	`rational.json-simplify-2`
882×	`rational.json-simplify-48`
806×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	17	21
2	22	21
3	33	21
4	54	21
5	107	21
6	259	21
7	734	21
8	1291	21
9	2209	21
10	3178	21
11	4737	21
12	7136	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series92.0ms (0.4%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
85.0ms	y	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	x	@	inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	x	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms	y	@	0	(/.f64 (sin.f64 y) y)
1.0ms	y	@	inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`rational.json-1`
1830×	`rational.json-2`
1830×	`rational.json-4`
1830×	`rational.json-3`
1822×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	64	32
2	166	32
3	402	32
4	1064	32
5	4626	32

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

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

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

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

simplify190.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1740×	`rational.json-simplify-35`
1050×	`rational.json-simplify-51`
840×	`rational.json-simplify-61`
754×	`rational.json-simplify-49`
746×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	6199
1	1689	5977
2	5891	5885

Stop Event

1×	node limit

Counts

225 → 270

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.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 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 0)
(+.f64 0 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(-.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 0)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (sin.f64 y) (*.f64 (/.f64 y (cosh.f64 x)) 1))
(/.f64 (sin.f64 y) (*.f64 -1 (/.f64 y (neg.f64 (cosh.f64 x)))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (cosh.f64 x)))
(/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 1 (cosh.f64 x)) 1))
(/.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 2 (cosh.f64 x))))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) 1))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 y (/.f64 2 (cosh.f64 x))))
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 y (cosh.f64 x)) (/.f64 y (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 (*.f64 y (/.f64 2 (cosh.f64 x))) 1))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 -2 (/.f64 y (neg.f64 (cosh.f64 x)))))
(/.f64 2 (/.f64 2 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(/.f64 2 (+.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(/.f64 2 (.f64 (/.f64 2 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 2 (cosh.f64 x)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (/.f64 1 (cosh.f64 x)) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (.f64 2 (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (.f64 (/.f64 2 (cosh.f64 x)) 1))
(/.f64 (.f64 (sin.f64 y) 4) (+.f64 (.f64 y (/.f64 2 (cosh.f64 x))) (*.f64 y (/.f64 2 (cosh.f64 x)))))
(/.f64 (.f64 (sin.f64 y) 4) (/.f64 (.f64 y 4) (cosh.f64 x)))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 4 (/.f64 y (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 (*.f64 y 4) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 2 (*.f64 y (/.f64 2 (cosh.f64 x)))))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 (+.f64 y y) (/.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 -4 (/.f64 y (neg.f64 (cosh.f64 x)))))
(/.f64 (*.f64 (sin.f64 y) 4) (/.f64 4 (/.f64 (cosh.f64 x) y)))
(/.f64 (.f64 (cosh.f64 x) 2) (.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 2 y))) 2)
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)))
(/.f64 (/.f64 1 y) (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cosh.f64 x))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 (cosh.f64 x))))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 y (neg.f64 (cosh.f64 x))) 1))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 (cosh.f64 x) 2)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 (cosh.f64 x) y)))
(/.f64 (/.f64 y (sin.f64 y)) (.f64 (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 1 (cosh.f64 x))))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (cosh.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 y (/.f64 2 (sin.f64 y))) (.f64 (.f64 2 (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 y (/.f64 2 (sin.f64 y))) (.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) (/.f64 2 (cosh.f64 x))))
(/.f64 4 (+.f64 (/.f64 2 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (/.f64 2 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(/.f64 4 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) 4) (cosh.f64 x)))
(/.f64 4 (.f64 (.f64 (/.f64 y (sin.f64 y)) 4) (/.f64 1 (cosh.f64 x))))
(/.f64 4 (.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (cosh.f64 x) (.f64 (/.f64 (sin.f64 y) y) 4)) 4)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) (+.f64 (/.f64 2 (cosh.f64 x)) (/.f64 2 (cosh.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 4 (cosh.f64 x)))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (.f64 4 (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (.f64 2 (/.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) 8) (/.f64 (.f64 y 8) (cosh.f64 x)))
(/.f64 (.f64 (sin.f64 y) 8) (.f64 8 (/.f64 y (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) 8) (.f64 (*.f64 y 8) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) 8) (.f64 4 (*.f64 y (/.f64 2 (cosh.f64 x)))))
(/.f64 (.f64 (cosh.f64 x) 4) (.f64 (/.f64 y (sin.f64 y)) 4))
(/.f64 (.f64 (cosh.f64 x) 4) (.f64 (*.f64 (/.f64 y (sin.f64 y)) 4) 1))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(/.f64 1/2 (/.f64 (/.f64 y (*.f64 (sin.f64 y) 2)) (cosh.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 (cosh.f64 x) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sin.f64 y)) (cosh.f64 x)))
(/.f64 (*.f64 (sin.f64 y) -2) (+.f64 (/.f64 y (neg.f64 (cosh.f64 x))) (/.f64 y (neg.f64 (cosh.f64 x)))))
(/.f64 (*.f64 (sin.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) (cosh.f64 x)))
(/.f64 (.f64 (sin.f64 y) -2) (/.f64 (.f64 y -2) (cosh.f64 x)))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 (*.f64 y -2) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 (neg.f64 (+.f64 y y)) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 (neg.f64 y) (/.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 2 (/.f64 y (neg.f64 (cosh.f64 x)))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 (cosh.f64 x) 2)))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) 4)) (*.f64 8 (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 2 (.f64 (sin.f64 y) 8)) (.f64 (.f64 2 (*.f64 y 8)) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 2 (.f64 (cosh.f64 x) 4)) (+.f64 (.f64 (/.f64 y (sin.f64 y)) 4) (.f64 (/.f64 y (sin.f64 y)) 4)))
(/.f64 (.f64 2 (.f64 (cosh.f64 x) 4)) (*.f64 8 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 2 (.f64 (cosh.f64 x) (*.f64 (/.f64 (sin.f64 y) y) 4))) 8)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 y)))
(/.f64 (.f64 (/.f64 y (sin.f64 y)) 4) (.f64 (.f64 2 (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))) (/.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 (cosh.f64 x)))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 -1 (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 (sin.f64 y) y)) (/.f64 2 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 1 (.f64 (cosh.f64 x) 2)))
(/.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 1/2 (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 (cosh.f64 x) 1/2) (/.f64 y (.f64 (sin.f64 y) 2)))
(/.f64 (.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1/2 y))) 1/2)
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 -1 (cosh.f64 x)))
(/.f64 (.f64 4 (neg.f64 (sin.f64 y))) (.f64 (.f64 2 (.f64 y -2)) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 4 (neg.f64 (sin.f64 y))) (.f64 (*.f64 2 (neg.f64 (+.f64 y y))) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 4 (neg.f64 (sin.f64 y))) (.f64 (neg.f64 (*.f64 y 4)) (/.f64 1 (cosh.f64 x))))
(/.f64 (.f64 4 (neg.f64 (sin.f64 y))) (.f64 4 (/.f64 y (neg.f64 (cosh.f64 x)))))
(/.f64 (neg.f64 (.f64 (sin.f64 y) -2)) (.f64 y (/.f64 2 (cosh.f64 x))))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) 1))
(/.f64 (+.f64 (/.f64 (cosh.f64 x) y) (/.f64 (cosh.f64 x) y)) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(/.f64 (+.f64 (.f64 2 (.f64 (cosh.f64 x) (.f64 (/.f64 (sin.f64 y) y) 4))) (.f64 2 (.f64 (cosh.f64 x) (.f64 (/.f64 (sin.f64 y) y) 4)))) 16)
(/.f64 (+.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x))) (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) 2) y) (/.f64 2 (sin.f64 y)))
(/.f64 (/.f64 (.f64 2 (.f64 (cosh.f64 x) 4)) (/.f64 y (sin.f64 y))) 8)
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (cosh.f64 x))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 y) 8) (/.f64 y (cosh.f64 x))) 8)
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))) y)
(/.f64 (/.f64 1 (/.f64 1 (cosh.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 1 (cosh.f64 x))) (+.f64 y y))
(/.f64 (/.f64 2 (/.f64 1 (cosh.f64 x))) (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (cosh.f64 x))) (.f64 y 4))
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 (cosh.f64 x))) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (cosh.f64 x))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (cosh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 -1 (/.f64 1 (cosh.f64 x))) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1 (cosh.f64 x))) (.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 4 (/.f64 1 (cosh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) 4))
(/.f64 (/.f64 (.f64 (sin.f64 y) 8) (/.f64 1 (cosh.f64 x))) (.f64 y 8))
(/.f64 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 1 (cosh.f64 x))) (.f64 y -2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) -2) (/.f64 1 (cosh.f64 x))) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) 4)) (/.f64 1 (cosh.f64 x))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 y) 8)) (/.f64 1 (cosh.f64 x))) (.f64 2 (.f64 y 8)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 1 (cosh.f64 x))) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 y))) (/.f64 1 (cosh.f64 x))) (.f64 2 (*.f64 y -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 y))) (/.f64 1 (cosh.f64 x))) (.f64 2 (neg.f64 (+.f64 y y))))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 y))) (/.f64 1 (cosh.f64 x))) (neg.f64 (.f64 y 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) (/.f64 1 (cosh.f64 x))) (+.f64 y y))
(/.f64 (/.f64 1 (/.f64 2 (cosh.f64 x))) (/.f64 y (*.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 2 (cosh.f64 x))) y)
(/.f64 (/.f64 2 (/.f64 2 (cosh.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 4) (/.f64 2 (cosh.f64 x))) (+.f64 y y))
(/.f64 (/.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 2 (cosh.f64 x))) (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 4 (/.f64 2 (cosh.f64 x))) (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) -2) (/.f64 2 (cosh.f64 x))) (neg.f64 y))
(/.f64 (/.f64 (.f64 (/.f64 y (sin.f64 y)) 4) (/.f64 2 (cosh.f64 x))) (.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 (.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 (sin.f64 y) y)) (/.f64 2 (cosh.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 (cosh.f64 x)))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 y (neg.f64 (cosh.f64 x)))) -2)
(/.f64 (/.f64 (*.f64 (sin.f64 y) 4) (/.f64 y (neg.f64 (cosh.f64 x)))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 y))) (/.f64 y (neg.f64 (cosh.f64 x)))) 4)
(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))) y)
(/.f64 (/.f64 (cosh.f64 x) 1/2) (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (/.f64 -1 (sin.f64 y)))
(/.f64 (neg.f64 (.f64 (cosh.f64 x) 2)) (-.f64 0 (.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) (-.f64 0 (/.f64 1 (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (/.f64 y (sin.f64 y)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 1 y))
(.f64 (sin.f64 y) (.f64 (*.f64 2 (/.f64 1 y)) 1/2))
(.f64 (sin.f64 y) (.f64 (/.f64 2 y) 1/2))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 y))
(.f64 2 (.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) 1/2)
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(.f64 (.f64 (sin.f64 y) 4) (.f64 (/.f64 1 (.f64 y 4)) 1))
(.f64 (.f64 (sin.f64 y) 4) (*.f64 1/4 (/.f64 1 y)))
(.f64 (.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 -1 y) 1))
(.f64 (neg.f64 (sin.f64 y)) (.f64 -1 (/.f64 1 y)))
(.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 -1 (.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 1))
(.f64 -1 (/.f64 (.f64 (sin.f64 y) 2) (neg.f64 (+.f64 y y))))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1 (.f64 2 (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 4 (/.f64 (sin.f64 y) (.f64 y 4)))
(*.f64 4 (/.f64 (/.f64 (sin.f64 y) y) 4))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 4) 1/4)
(.f64 (.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))
(.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 1 (sin.f64 y)) (/.f64 (+.f64 y y) (.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) 2))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1/2 (neg.f64 y)))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1 (neg.f64 (+.f64 y y))))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (sin.f64 y) 1/2))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(.f64 (/.f64 y (.f64 (sin.f64 y) 2)) (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(.f64 (/.f64 2 y) (.f64 (sin.f64 y) 1/2))
(.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(.f64 1/4 (.f64 (/.f64 (sin.f64 y) y) 4))
(.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(.f64 (.f64 (sin.f64 y) 1/2) (/.f64 2 y))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
(+.f64 (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))) (+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)))))
(+.f64 (+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)))) (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(+.f64 (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))) (+.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (.f64 1/720 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 6) y)))) (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))) (+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (.f64 1/720 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 6) y))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 2) -1/12)) (+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (*.f64 -1/12 (pow.f64 y 2)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 2) -1/12)) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 6) -1/10080)) (+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/240 (pow.f64 y 4))) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/10080 (pow.f64 y 6))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (*.f64 1/240 (pow.f64 y 4)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
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(.f64 (sin.f64 y) (.f64 (/.f64 1 y) 1))
(.f64 (sin.f64 y) (.f64 (/.f64 2 y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 2 y)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 y)))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 y))
(+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 (/.f64 1/2 y) (+.f64 (sin.f64 y) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 2 (/.f64 1/2 y)))
(.f64 2 (.f64 (sin.f64 y) (/.f64 1/2 y)))
(+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 (/.f64 1/2 y) (+.f64 (sin.f64 y) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 2 (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) 1/2)
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 2 y)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(.f64 (sin.f64 y) (.f64 4 (/.f64 1/4 y)))
(.f64 (.f64 (sin.f64 y) 4) (.f64 (/.f64 1 (.f64 y 4)) 1))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(.f64 (sin.f64 y) (.f64 4 (/.f64 1/4 y)))
(.f64 (.f64 (sin.f64 y) 4) (*.f64 1/4 (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(.f64 1/2 (.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 4)))
(.f64 (sin.f64 y) (.f64 4 (*.f64 1/2 (/.f64 1/2 y))))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(/.f64 (sin.f64 y) y)
(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 -1 y) 1))
(/.f64 (sin.f64 y) y)
(.f64 (neg.f64 (sin.f64 y)) (.f64 -1 (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y))))
(.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y))))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 -1 (.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 1))
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (sin.f64 y) 2) (neg.f64 (+.f64 y y))))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1 (.f64 2 (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y 1/2)))))
(.f64 y (.f64 (/.f64 2 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 y 1/2) (sin.f64 y)))))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 1/2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) (/.f64 y 1/2)))))
(.f64 y (.f64 (/.f64 2 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 y 1/2) (sin.f64 y)))))
(.f64 4 (/.f64 (sin.f64 y) (.f64 y 4)))
(/.f64 (sin.f64 y) y)
(*.f64 4 (/.f64 (/.f64 (sin.f64 y) y) 4))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (/.f64 (sin.f64 y) y) 4) 1/4)
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sin.f64 y) 8) (/.f64 1 (*.f64 y 8)))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(.f64 (/.f64 1 (sin.f64 y)) (/.f64 (+.f64 y y) (.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 2 y)))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) 2))
(+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 (/.f64 1/2 y) (+.f64 (sin.f64 y) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 2 (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1/2 (neg.f64 y)))
(.f64 (sin.f64 y) (.f64 -2 (/.f64 1/2 (neg.f64 y))))
(.f64 (sin.f64 y) (.f64 -2 (/.f64 -1/2 y)))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1 (*.f64 y -2)))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1/2 (neg.f64 y)))
(.f64 (sin.f64 y) (.f64 -2 (/.f64 1/2 (neg.f64 y))))
(.f64 (sin.f64 y) (.f64 -2 (/.f64 -1/2 y)))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1 (neg.f64 (+.f64 y y))))
(.f64 (.f64 (sin.f64 y) -2) (/.f64 1/2 (neg.f64 y)))
(.f64 (sin.f64 y) (.f64 -2 (/.f64 1/2 (neg.f64 y))))
(.f64 (sin.f64 y) (.f64 -2 (/.f64 -1/2 y)))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (sin.f64 y) 1/2))
(.f64 (sin.f64 y) (.f64 (/.f64 1 y) 1))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 y (.f64 (sin.f64 y) 2)) (/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (/.f64 y 2) (sin.f64 y)) (/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) (/.f64 y (sin.f64 y))))
(.f64 (/.f64 (/.f64 y 2) (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (.f64 (sin.f64 y) (/.f64 2 y)))))
(.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (+.f64 y y) (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(*.f64 (/.f64 1/2 y) (+.f64 (sin.f64 y) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 2 (/.f64 1/2 y)))
(.f64 (/.f64 2 y) (.f64 (sin.f64 y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 2 y)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 y (sin.f64 y))))
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (sin.f64 y) 4))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(.f64 (sin.f64 y) (.f64 4 (/.f64 1/4 y)))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 1/4 (.f64 (/.f64 (sin.f64 y) y) 4))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 2 (sin.f64 y)) (/.f64 y (.f64 2 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(.f64 y (/.f64 1 (.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))))))
(.f64 y (/.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) 1/2) (/.f64 2 y))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 2 y)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)

eval194.0ms (0.9%)

Compiler: Compiled 4028 to 1883 computations (53.3% saved)

prune271.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	256	14	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	14	271

Error

0.3b

Counts

271 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))) y)
	0.5b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
▶	0.5b	(/.f64 (/.f64 (cosh.f64 x) 1/2) (*.f64 y (/.f64 2 (sin.f64 y))))
	1.0b	(/.f64 (sin.f64 y) y)
▶	0.5b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	0.4b	(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
	0.4b	(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
	0.6b	(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
	0.6b	(.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (cosh.f64 x) (/.f64 2 y)))))
	0.6b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
	0.6b	(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
▶	14.1b	(.f64 (cosh.f64 x) (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y)))))
	0.6b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))))
▶	33.5b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 454 to 282 computations (37.9% saved)

localize136.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
✓	0.1b	(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))
✓	0.1b	(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 169 to 86 computations (49.1% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
1.0ms	x	@	0	(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
1.0ms	y	@	-inf	(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
1.0ms	y	@	-inf	(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))

rewrite235.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`rational.json-1`
1514×	`rational.json-2`
1514×	`rational.json-4`
1514×	`rational.json-3`
1506×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	104	75
2	235	75
3	529	75
4	1352	75
5	4230	75

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

Inputs
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))

Outputs
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Outputs

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

simplify239.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1216×	`rational.json-simplify-61`
864×	`rational.json-simplify-51`
812×	`rational.json-simplify-53`
758×	`rational.json-simplify-44`
740×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	6419
1	1723	6389
2	4510	6325
3	6272	6325

Stop Event

1×	node limit

Counts

243 → 234

Calls

Call 1

Inputs
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/2880 (*.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2880 (.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1/120960 (*.f64 (pow.f64 y 6) (pow.f64 x 4))))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(pow.f64 x 2)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 x 2))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (.f64 1/120 (.f64 (pow.f64 y 4) (pow.f64 x 2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (.f64 1/120 (.f64 (pow.f64 y 4) (pow.f64 x 2))))))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (.f64 -1/6 (.f64 (pow.f64 y 2) (pow.f64 x 4))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (pow.f64 x 4) (.f64 -1/6 (.f64 (pow.f64 y 2) (pow.f64 x 4)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) (pow.f64 x 4))) (+.f64 (pow.f64 x 4) (.f64 -1/6 (.f64 (pow.f64 y 2) (pow.f64 x 4))))))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)
(+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) 0)
(+.f64 0 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 4) 1/12)) 4) (/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 4) 1/12)) 4))
(-.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) 0)
(/.f64 4 (/.f64 (.f64 2 (.f64 y (/.f64 2 (sin.f64 y)))) (*.f64 1/24 (pow.f64 x 4))))
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(/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) (/.f64 2 (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
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(/.f64 (*.f64 4 (sin.f64 y)) (/.f64 4 (/.f64 (pow.f64 x 2) y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 x 2)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 (pow.f64 x 2))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 (pow.f64 x 2) y)))
(/.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (pow.f64 x 2)))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 4 (pow.f64 x 2))) 4)
(/.f64 (.f64 4 (pow.f64 x 2)) (.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 4 (pow.f64 x 2)) (.f64 4 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 4 (/.f64 (sin.f64 y) y)) (.f64 2 (/.f64 2 (pow.f64 x 2))))
(/.f64 (*.f64 4 (/.f64 (sin.f64 y) y)) (/.f64 4 (pow.f64 x 2)))
(/.f64 (.f64 4 (.f64 (sin.f64 y) 2)) (/.f64 (*.f64 4 (+.f64 y y)) (pow.f64 x 2)))
(/.f64 (/.f64 (pow.f64 x 2) y) (/.f64 1 (sin.f64 y)))
(/.f64 1/2 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 2 (pow.f64 x 2))))
(/.f64 1/2 (/.f64 (/.f64 y (*.f64 (sin.f64 y) 2)) (pow.f64 x 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (pow.f64 x 2) y)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sin.f64 y)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 2 (/.f64 y (neg.f64 (pow.f64 x 2)))))
(/.f64 (.f64 (sin.f64 y) -2) (/.f64 (.f64 2 (neg.f64 y)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) (pow.f64 x 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 4 (pow.f64 x 2))) (.f64 2 (.f64 4 (/.f64 y (sin.f64 y)))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) (*.f64 4 (pow.f64 x 2)))) 8)
(/.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) 1/4) (/.f64 4 (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 4 (pow.f64 x 2)))) 4)
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 1 (*.f64 2 (pow.f64 x 2))))
(/.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 y (*.f64 (sin.f64 y) 2)))
(/.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 2 (/.f64 (pow.f64 x 2) y)) (.f64 2 (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) (.f64 4 (pow.f64 x 2))))) 16)
(/.f64 (.f64 2 (/.f64 (sin.f64 y) (/.f64 y (.f64 4 (pow.f64 x 2))))) 8)
(/.f64 (.f64 2 (neg.f64 (pow.f64 x 2))) (.f64 2 (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (/.f64 (pow.f64 x 2) 1/2) (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 (*.f64 2 (pow.f64 x 2)) y) (/.f64 2 (sin.f64 y)))
(/.f64 (/.f64 (pow.f64 x 2) (neg.f64 y)) (/.f64 -1 (sin.f64 y)))
(/.f64 (/.f64 (pow.f64 x 2) (/.f64 1 (sin.f64 y))) y)
(/.f64 (neg.f64 (.f64 2 (pow.f64 x 2))) (neg.f64 (.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (neg.f64 (/.f64 (pow.f64 x 2) y)) (/.f64 -1 (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x 2))) (/.f64 y (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)) 1)
(+.f64 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 0)
(+.f64 0 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 2) (/.f64 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 2))
(-.f64 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 0)
(/.f64 4 (.f64 2 (/.f64 2 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
(/.f64 4 (/.f64 (.f64 2 (.f64 y (/.f64 2 (sin.f64 y)))) (pow.f64 x 4)))
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (sin.f64 y) y)) (pow.f64 x 4)))
(/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (pow.f64 x 4)))
(/.f64 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 1)
(/.f64 2 (/.f64 2 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4))))
(/.f64 2 (/.f64 (/.f64 4 (/.f64 (sin.f64 y) y)) (*.f64 (pow.f64 x 4) 2)))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (pow.f64 x 4) y)))
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 y (/.f64 (pow.f64 x 4) 2)))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 2 (/.f64 y (pow.f64 x 4))))
(/.f64 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) (/.f64 y 2))) 2)
(/.f64 (.f64 (pow.f64 x 4) 2) (.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) (/.f64 2 (pow.f64 x 4)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) (*.f64 2 (/.f64 1 (pow.f64 x 4))))
(/.f64 (.f64 4 (sin.f64 y)) (.f64 2 (/.f64 y (/.f64 (pow.f64 x 4) 2))))
(/.f64 (.f64 4 (sin.f64 y)) (/.f64 (.f64 4 y) (pow.f64 x 4)))
(/.f64 (*.f64 4 (sin.f64 y)) (/.f64 4 (/.f64 (pow.f64 x 4) y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 x 4)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 (pow.f64 x 4))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 (pow.f64 x 4) 2)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 (pow.f64 x 4) y)))
(/.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (pow.f64 x 4)))
(/.f64 (.f64 4 (pow.f64 x 4)) (.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 4 (pow.f64 x 4)) (.f64 4 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 4 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) 4)
(/.f64 (.f64 4 (/.f64 (sin.f64 y) y)) (.f64 2 (/.f64 2 (pow.f64 x 4))))
(/.f64 (*.f64 4 (/.f64 (sin.f64 y) y)) (/.f64 4 (pow.f64 x 4)))
(/.f64 (.f64 4 (.f64 (sin.f64 y) 2)) (/.f64 (*.f64 4 (+.f64 y y)) (pow.f64 x 4)))
(/.f64 (/.f64 (pow.f64 x 4) y) (/.f64 1 (sin.f64 y)))
(/.f64 1/2 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 (pow.f64 x 4) 2)))
(/.f64 1/2 (/.f64 (/.f64 y (*.f64 (sin.f64 y) 2)) (pow.f64 x 4)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (pow.f64 x 4) y)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sin.f64 y)) (pow.f64 x 4)))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 2 (/.f64 y (neg.f64 (pow.f64 x 4)))))
(/.f64 (.f64 (sin.f64 y) -2) (/.f64 (.f64 2 (neg.f64 y)) (pow.f64 x 4)))
(/.f64 (*.f64 (sin.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) (pow.f64 x 4)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))
(/.f64 (.f64 2 (.f64 4 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))) 8)
(/.f64 (.f64 2 (.f64 4 (pow.f64 x 4))) (.f64 2 (.f64 4 (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 x 4) (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 y)))
(/.f64 (/.f64 4 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4))) 4)
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) 1/4) (/.f64 4 (pow.f64 x 4)))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 (pow.f64 x 4)))
(/.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 1 (*.f64 (pow.f64 x 4) 2)))
(/.f64 (/.f64 (pow.f64 x 4) 2) (/.f64 y (*.f64 (sin.f64 y) 2)))
(/.f64 (neg.f64 (pow.f64 x 4)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 2 (/.f64 (pow.f64 x 4) y)) (.f64 2 (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))))) 16)
(/.f64 (*.f64 2 (/.f64 4 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4)))) 8)
(/.f64 (.f64 2 (neg.f64 (pow.f64 x 4))) (.f64 2 (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 2) y) (/.f64 2 (sin.f64 y)))
(/.f64 (/.f64 (pow.f64 x 4) 1/2) (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 (pow.f64 x 4) (neg.f64 y)) (/.f64 -1 (sin.f64 y)))
(/.f64 (/.f64 (pow.f64 x 4) (/.f64 1 (sin.f64 y))) y)
(/.f64 (neg.f64 (.f64 (pow.f64 x 4) 2)) (neg.f64 (.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (neg.f64 (/.f64 (pow.f64 x 4) y)) (/.f64 -1 (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x 4))) (/.f64 y (sin.f64 y)))
(pow.f64 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 1)

Outputs
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/144 (*.f64 (pow.f64 x 4) (pow.f64 y 2))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 2) -1/144)))
(.f64 (pow.f64 x 4) (+.f64 1/24 (.f64 -1/144 (pow.f64 y 2))))
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(/.f64 (/.f64 (pow.f64 x 2) (neg.f64 y)) (/.f64 -1 (sin.f64 y)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))
(/.f64 (/.f64 (pow.f64 x 2) (/.f64 1 (sin.f64 y))) y)
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))
(/.f64 (neg.f64 (.f64 2 (pow.f64 x 2))) (neg.f64 (.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))
(/.f64 (neg.f64 (/.f64 (pow.f64 x 2) y)) (/.f64 -1 (sin.f64 y)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x 2))) (/.f64 y (sin.f64 y)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)) 1)
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))
(+.f64 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 0)
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(+.f64 0 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(+.f64 (/.f64 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 2) (/.f64 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(-.f64 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 0)
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 4 (.f64 2 (/.f64 2 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 4 (/.f64 (.f64 2 (.f64 y (/.f64 2 (sin.f64 y)))) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (sin.f64 y) y)) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 1)
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 2 (/.f64 2 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 2 (/.f64 (/.f64 4 (/.f64 (sin.f64 y) y)) (*.f64 (pow.f64 x 4) 2)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (pow.f64 x 4) y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 y (/.f64 (pow.f64 x 4) 2)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 2 (/.f64 y (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) (/.f64 y 2))) 2)
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 (pow.f64 x 4) 2) (.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) (/.f64 2 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) (*.f64 2 (/.f64 1 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 4 (sin.f64 y)) (.f64 2 (/.f64 y (/.f64 (pow.f64 x 4) 2))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 4 (sin.f64 y)) (/.f64 (.f64 4 y) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (*.f64 4 (sin.f64 y)) (/.f64 4 (/.f64 (pow.f64 x 4) y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 (pow.f64 x 4) 2)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 (pow.f64 x 4) y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 4 (pow.f64 x 4)) (.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 4 (pow.f64 x 4)) (.f64 4 (/.f64 y (sin.f64 y))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 4 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) 4)
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 4 (/.f64 (sin.f64 y) y)) (.f64 2 (/.f64 2 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (*.f64 4 (/.f64 (sin.f64 y) y)) (/.f64 4 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 4 (.f64 (sin.f64 y) 2)) (/.f64 (*.f64 4 (+.f64 y y)) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 (pow.f64 x 4) y) (/.f64 1 (sin.f64 y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 1/2 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 (pow.f64 x 4) 2)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 1/2 (/.f64 (/.f64 y (*.f64 (sin.f64 y) 2)) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (pow.f64 x 4) y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sin.f64 y)) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 2 (/.f64 y (neg.f64 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 (sin.f64 y) -2) (/.f64 (.f64 2 (neg.f64 y)) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (*.f64 (sin.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 2 (.f64 4 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))) 8)
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 2 (.f64 4 (pow.f64 x 4))) (.f64 2 (.f64 4 (/.f64 y (sin.f64 y)))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (*.f64 (pow.f64 x 4) (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 4 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4))) 4)
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) 1/4) (/.f64 4 (pow.f64 x 4)))
(/.f64 (pow.f64 x 4) (/.f64 4 (/.f64 (sin.f64 y) (*.f64 y 1/4))))
(/.f64 (/.f64 (sin.f64 y) (*.f64 y 1/4)) (/.f64 4 (pow.f64 x 4)))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 1 (*.f64 (pow.f64 x 4) 2)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 (pow.f64 x 4) 2) (/.f64 y (*.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (neg.f64 (pow.f64 x 4)) (/.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 2 (/.f64 (pow.f64 x 4) y)) (.f64 2 (/.f64 1 (sin.f64 y))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))))) 16)
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (*.f64 2 (/.f64 4 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4)))) 8)
(.f64 (/.f64 4 (/.f64 y (.f64 (sin.f64 y) (pow.f64 x 4)))) 1/4)
(.f64 1/4 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) (/.f64 y 4)))
(*.f64 1/4 (/.f64 (sin.f64 y) (/.f64 (/.f64 y (pow.f64 x 4)) 4)))
(/.f64 (.f64 2 (neg.f64 (pow.f64 x 4))) (.f64 2 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (neg.f64 (pow.f64 x 4)) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (neg.f64 (pow.f64 x 4)) (/.f64 1 (/.f64 y (neg.f64 (sin.f64 y)))))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 2) y) (/.f64 2 (sin.f64 y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 (pow.f64 x 4) 1/2) (*.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 (pow.f64 x 4) (neg.f64 y)) (/.f64 -1 (sin.f64 y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (/.f64 (pow.f64 x 4) (/.f64 1 (sin.f64 y))) y)
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (neg.f64 (.f64 (pow.f64 x 4) 2)) (neg.f64 (.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (neg.f64 (/.f64 (pow.f64 x 4) y)) (/.f64 -1 (sin.f64 y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x 4))) (/.f64 y (sin.f64 y)))
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))
(pow.f64 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) 1)
(*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))

localize4.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.4b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 y (sin.f64 y))
0.0ms	y	@	-inf	(/.f64 y (sin.f64 y))
0.0ms	y	@	inf	(/.f64 y (sin.f64 y))
0.0ms	x	@	0	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
0.0ms	y	@	0	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`rational.json-1`
1712×	`rational.json-2`
1712×	`rational.json-4`
1712×	`rational.json-3`
1688×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	68	32
2	212	32
3	647	32
4	2309	32
5	6053	32

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify209.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational.json-simplify-53`
924×	`rational.json-simplify-2`
828×	`rational.json-simplify-41`
650×	`rational.json-simplify-1`
638×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	2815
1	428	2731
2	935	2659
3	2726	2611
4	4382	2611
5	6654	2611

Stop Event

1×	node limit

Counts

107 → 135

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 0)
(+.f64 0 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(+.f64 (/.f64 (cosh.f64 x) (.f64 y (/.f64 2 (sin.f64 y)))) (/.f64 (cosh.f64 x) (.f64 y (/.f64 2 (sin.f64 y)))))
(-.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 0)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(*.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(.f64 (.f64 (cosh.f64 x) 2) (/.f64 1/2 (/.f64 y (sin.f64 y))))
(.f64 (.f64 (cosh.f64 x) 2) (*.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 (.f64 (cosh.f64 x) 2) (*.f64 (/.f64 1 (+.f64 y y)) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 (cosh.f64 x) y) 1/2))
(.f64 2 (/.f64 (cosh.f64 x) (.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 2 (/.f64 (sin.f64 y) (/.f64 (+.f64 y y) (cosh.f64 x))))
(*.f64 2 (/.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 y (sin.f64 y))) (cosh.f64 x)))
(.f64 2 (.f64 (*.f64 (/.f64 (cosh.f64 x) y) 1/2) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (cosh.f64 x)) 4)))
(.f64 (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 2 y))) 1/2)
(.f64 (.f64 (cosh.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) 4)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 y (cosh.f64 x))))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 -1 (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (/.f64 1 (sin.f64 y))))
(*.f64 -1 (/.f64 (cosh.f64 x) (/.f64 y (neg.f64 (sin.f64 y)))))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))
(.f64 1/2 (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 (/.f64 1/2 (/.f64 y (sin.f64 y))) (.f64 (cosh.f64 x) 2))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) 1/2) (*.f64 (sin.f64 y) 2))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (*.f64 (cosh.f64 x) 2))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (neg.f64 (sin.f64 y)))) -1)
(*.f64 (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 (cosh.f64 x))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(.f64 (/.f64 (cosh.f64 x) (.f64 y (/.f64 2 (sin.f64 y)))) 2)
(*.f64 (/.f64 (sin.f64 y) (/.f64 (+.f64 y y) (cosh.f64 x))) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y (cosh.f64 x)) 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) 4)) (*.f64 (cosh.f64 x) 4))
(*.f64 (/.f64 -1 (/.f64 y (cosh.f64 x))) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 (cosh.f64 x)))
(pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(neg.f64 (/.f64 (cosh.f64 x) (/.f64 y (neg.f64 (sin.f64 y)))))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(+.f64 0 (/.f64 y (sin.f64 y)))
(+.f64 (/.f64 y (.f64 (sin.f64 y) 2)) (/.f64 y (.f64 (sin.f64 y) 2)))
(-.f64 (/.f64 y (sin.f64 y)) 0)
(-.f64 0 (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 y (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 1 (/.f64 y (sin.f64 y)))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) 1/2)
(*.f64 (+.f64 y y) (/.f64 1/2 (sin.f64 y)))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (sin.f64 y)) 1/2))
(.f64 2 (/.f64 y (.f64 (sin.f64 y) 2)))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) 2))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 y)) y))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (sin.f64 y) 4)))
(.f64 (.f64 (/.f64 y (sin.f64 y)) 4) 1/4)
(*.f64 (/.f64 1 (sin.f64 y)) y)
(*.f64 (neg.f64 y) (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 y (neg.f64 (sin.f64 y))) -1)
(*.f64 -1 (/.f64 y (neg.f64 (sin.f64 y))))
(.f64 (.f64 2 (/.f64 1 (sin.f64 y))) (/.f64 y 2))
(.f64 1/2 (.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 (/.f64 1/2 (sin.f64 y)) (+.f64 y y))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) 1/2) (+.f64 y y))
(.f64 (/.f64 y (.f64 (sin.f64 y) 2)) 2)
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) 2) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 y) 4)) (*.f64 y 4))
(.f64 1/4 (.f64 (/.f64 y (sin.f64 y)) 4))
(*.f64 (/.f64 -1 (sin.f64 y)) (neg.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 2 (sin.f64 y))
✓	0.2b	(*.f64 y (/.f64 2 (sin.f64 y)))
✓	0.4b	(/.f64 (/.f64 (cosh.f64 x) 1/2) (*.f64 y (/.f64 2 (sin.f64 y))))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite416.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`rational.json-simplify-50`
1138×	`rational.json-simplify-2`
1116×	`rational.json-1`
1116×	`rational.json-2`
1116×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	101	61
2	301	49
3	1065	49
4	3586	49

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs
(/.f64 (/.f64 (cosh.f64 x) 1/2) (*.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 y (/.f64 2 (sin.f64 y)))
(/.f64 2 (sin.f64 y))

Outputs

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

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

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

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1426×	`rational.json-simplify-51`
1114×	`rational.json-simplify-2`
1004×	`rational.json-simplify-44`
980×	`rational.json-simplify-35`
940×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	341	4968
1	791	4806
2	1947	4746
3	5844	4654

Stop Event

1×	node limit

Counts

186 → 226

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
2
(+.f64 2 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 2 (+.f64 (.f64 1/3 (pow.f64 y 2)) (.f64 7/180 (pow.f64 y 4))))
(+.f64 2 (+.f64 (.f64 31/7560 (pow.f64 y 6)) (+.f64 (.f64 1/3 (pow.f64 y 2)) (*.f64 7/180 (pow.f64 y 4)))))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(*.f64 2 (/.f64 y (sin.f64 y)))
(/.f64 2 y)
(+.f64 (.f64 2 (/.f64 1 y)) (.f64 1/3 y))
(+.f64 (.f64 2 (/.f64 1 y)) (+.f64 (.f64 1/3 y) (*.f64 7/180 (pow.f64 y 3))))
(+.f64 (.f64 2 (/.f64 1 y)) (+.f64 (.f64 31/7560 (pow.f64 y 5)) (+.f64 (.f64 1/3 y) (.f64 7/180 (pow.f64 y 3)))))
(+.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 0)
(+.f64 0 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 1/2 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (.f64 1/2 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(-.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 0)
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(.f64 (cosh.f64 x) (.f64 (*.f64 1/2 (sin.f64 y)) (/.f64 2 y)))
(.f64 1/2 (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 (.f64 (cosh.f64 x) 2) (/.f64 1/2 (/.f64 y (sin.f64 y))))
(.f64 (.f64 (cosh.f64 x) 2) (.f64 2 (/.f64 1/2 (.f64 y (/.f64 2 (sin.f64 y))))))
(.f64 (.f64 (cosh.f64 x) 2) (/.f64 (*.f64 1/2 (sin.f64 y)) y))
(.f64 (.f64 (cosh.f64 x) 2) (*.f64 1/2 (/.f64 1 (/.f64 y (sin.f64 y)))))
(.f64 (.f64 (cosh.f64 x) 2) (+.f64 (/.f64 1/2 (.f64 y (/.f64 2 (sin.f64 y)))) (/.f64 1/2 (.f64 y (/.f64 2 (sin.f64 y))))))
(.f64 (.f64 (cosh.f64 x) 2) (+.f64 (/.f64 1/2 (.f64 y (/.f64 2 (sin.f64 y)))) (.f64 1/2 (/.f64 1/2 (/.f64 y (sin.f64 y))))))
(.f64 2 (.f64 1/2 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(.f64 2 (+.f64 (/.f64 (cosh.f64 x) (.f64 4 (/.f64 y (sin.f64 y)))) (/.f64 (sin.f64 y) (/.f64 4 (/.f64 (cosh.f64 x) y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (sin.f64 y) (+.f64 (/.f64 1 (.f64 y (/.f64 2 (cosh.f64 x)))) (/.f64 1 (*.f64 y (/.f64 2 (cosh.f64 x))))))
(.f64 (sin.f64 y) (+.f64 (/.f64 1 (.f64 y (/.f64 2 (cosh.f64 x)))) (/.f64 2 (/.f64 4 (/.f64 (cosh.f64 x) y)))))
(.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(.f64 1 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (cosh.f64 x) 4) (/.f64 1/2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 (.f64 (cosh.f64 x) 4) (.f64 (.f64 1/2 (sin.f64 y)) (/.f64 1/2 y)))
(.f64 (.f64 (cosh.f64 x) 4) (*.f64 1/2 (/.f64 1/2 (/.f64 y (sin.f64 y)))))
(.f64 4 (/.f64 (cosh.f64 x) (.f64 4 (/.f64 y (sin.f64 y)))))
(.f64 4 (.f64 (.f64 (cosh.f64 x) (/.f64 1/2 y)) (.f64 1/2 (sin.f64 y))))
(.f64 4 (.f64 (/.f64 (sin.f64 y) 4) (/.f64 (cosh.f64 x) y)))
(.f64 (.f64 2 (sin.f64 y)) (/.f64 1 (*.f64 y (/.f64 2 (cosh.f64 x)))))
(.f64 (.f64 2 (sin.f64 y)) (*.f64 (cosh.f64 x) (/.f64 1/2 y)))
(.f64 (.f64 2 (sin.f64 y)) (/.f64 2 (/.f64 4 (/.f64 (cosh.f64 x) y))))
(.f64 (.f64 1/2 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
(.f64 (.f64 (cosh.f64 x) (/.f64 2 y)) (*.f64 1/2 (sin.f64 y)))
(.f64 (.f64 (cosh.f64 x) (/.f64 2 y)) (/.f64 1 (/.f64 2 (sin.f64 y))))
(.f64 8 (.f64 (*.f64 (cosh.f64 x) 1/4) (/.f64 1/2 (/.f64 y (sin.f64 y)))))
(.f64 (.f64 (sin.f64 y) 4) (*.f64 (/.f64 (cosh.f64 x) y) 1/4))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (/.f64 4 (/.f64 (cosh.f64 x) y))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (cosh.f64 x)) 4)))
(.f64 (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 2 y))) 1/2)
(.f64 (.f64 (cosh.f64 x) 8) (/.f64 1 (.f64 y (.f64 (/.f64 2 (sin.f64 y)) 4))))
(.f64 (.f64 (cosh.f64 x) 8) (*.f64 1/4 (/.f64 1/2 (/.f64 y (sin.f64 y)))))
(.f64 (.f64 4 (/.f64 (cosh.f64 x) y)) (.f64 1/2 (.f64 1/2 (sin.f64 y))))
(.f64 (.f64 4 (/.f64 (cosh.f64 x) y)) (/.f64 1 (*.f64 2 (/.f64 2 (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (cosh.f64 x) y) (/.f64 2 (/.f64 2 (sin.f64 y))))
(.f64 (/.f64 (cosh.f64 x) y) (.f64 2 (/.f64 1 (/.f64 2 (sin.f64 y)))))
(.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (.f64 1/2 (/.f64 2 (sin.f64 y)))))
(.f64 (/.f64 (cosh.f64 x) y) (+.f64 (/.f64 1 (/.f64 2 (sin.f64 y))) (.f64 1/2 (sin.f64 y))))
(.f64 (/.f64 (cosh.f64 x) y) (+.f64 (.f64 1/2 (sin.f64 y)) (/.f64 1 (/.f64 2 (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 2 (sin.f64 y))) (/.f64 2 y))
(.f64 (/.f64 (cosh.f64 x) (/.f64 2 (sin.f64 y))) (.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) (cosh.f64 x)))
(.f64 (/.f64 1/2 (/.f64 y (sin.f64 y))) (.f64 (cosh.f64 x) 2))
(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (cosh.f64 x))
(.f64 (.f64 (cosh.f64 x) -2) (/.f64 -1 (*.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 (.f64 (cosh.f64 x) -2) (/.f64 1 (*.f64 (/.f64 2 (sin.f64 y)) (neg.f64 y))))
(.f64 (.f64 (cosh.f64 x) -2) (.f64 (/.f64 -1 y) (.f64 1/2 (sin.f64 y))))
(.f64 -2 (.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (*.f64 1/2 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 y (cosh.f64 x))))
(.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (.f64 1/2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))))))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 -1 (/.f64 y (sin.f64 y))))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) -2) (/.f64 -1 (/.f64 2 (sin.f64 y))))
(.f64 (.f64 1/2 (sin.f64 y)) (*.f64 (cosh.f64 x) (/.f64 2 y)))
(.f64 -1 (/.f64 (.f64 (cosh.f64 x) -2) (*.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 -1 (/.f64 (.f64 (cosh.f64 x) 2) (*.f64 (/.f64 2 (sin.f64 y)) (neg.f64 y))))
(.f64 -1 (/.f64 (cosh.f64 x) (.f64 1/2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))))))
(*.f64 -1 (/.f64 (cosh.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))))
(.f64 -1 (/.f64 (.f64 (/.f64 (cosh.f64 x) y) -2) (/.f64 2 (sin.f64 y))))
(.f64 (.f64 (cosh.f64 x) 1/2) (*.f64 2 (/.f64 1 (/.f64 y (sin.f64 y)))))
(.f64 (.f64 (cosh.f64 x) 1/2) (/.f64 2 (/.f64 y (sin.f64 y))))
(.f64 (.f64 2 (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x)))) (/.f64 1/2 y))
(.f64 (/.f64 (cosh.f64 x) (.f64 4 (/.f64 y (sin.f64 y)))) 4)
(.f64 (/.f64 1 (/.f64 2 (sin.f64 y))) (.f64 (cosh.f64 x) (/.f64 2 y)))
(*.f64 (/.f64 2 y) (/.f64 (cosh.f64 x) (/.f64 2 (sin.f64 y))))
(.f64 (/.f64 1/2 y) (.f64 2 (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x)))))
(*.f64 (/.f64 2 (/.f64 2 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
(.f64 (/.f64 1/2 (.f64 y (/.f64 2 (sin.f64 y)))) (*.f64 (cosh.f64 x) 4))
(.f64 (/.f64 1 (.f64 y (/.f64 2 (cosh.f64 x)))) (*.f64 2 (sin.f64 y)))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 (cosh.f64 x) (/.f64 2 (sin.f64 y))))
(.f64 (.f64 2 (/.f64 1 y)) (.f64 (.f64 1/2 (sin.f64 y)) (cosh.f64 x)))
(.f64 (.f64 2 (/.f64 1 y)) (.f64 (cosh.f64 x) (.f64 1/2 (sin.f64 y))))
(.f64 (.f64 2 (/.f64 1 (/.f64 2 (sin.f64 y)))) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(.f64 (.f64 2 (/.f64 1/2 (.f64 y (/.f64 2 (sin.f64 y))))) (.f64 (cosh.f64 x) 2))
(.f64 (.f64 (*.f64 1/2 (sin.f64 y)) (/.f64 2 y)) (cosh.f64 x))
(.f64 (/.f64 (.f64 1/2 (sin.f64 y)) y) (*.f64 (cosh.f64 x) 2))
(.f64 (.f64 (.f64 1/2 (sin.f64 y)) (/.f64 1/2 y)) (.f64 (cosh.f64 x) 4))
(.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))
(.f64 (.f64 1/2 (/.f64 1/2 (/.f64 y (sin.f64 y)))) (*.f64 (cosh.f64 x) 4))
(.f64 (.f64 1/2 (/.f64 1 (/.f64 y (sin.f64 y)))) (*.f64 (cosh.f64 x) 2))
(.f64 (/.f64 1 (.f64 2 (/.f64 2 (sin.f64 y)))) (*.f64 4 (/.f64 (cosh.f64 x) y)))
(.f64 (/.f64 1 (.f64 1/2 (/.f64 2 (sin.f64 y)))) (/.f64 (cosh.f64 x) y))
(.f64 (/.f64 -1 (/.f64 2 (sin.f64 y))) (.f64 (/.f64 (cosh.f64 x) y) -2))
(.f64 (/.f64 2 (/.f64 y (sin.f64 y))) (.f64 (cosh.f64 x) 1/2))
(.f64 (/.f64 1 (.f64 y (.f64 (/.f64 2 (sin.f64 y)) 4))) (.f64 (cosh.f64 x) 8))
(.f64 (/.f64 2 (/.f64 4 (/.f64 (cosh.f64 x) y))) (.f64 2 (sin.f64 y)))
(.f64 (/.f64 1 (/.f64 4 (/.f64 (cosh.f64 x) y))) (.f64 (sin.f64 y) 4))
(.f64 (/.f64 -1 (.f64 y (/.f64 2 (sin.f64 y)))) (*.f64 (cosh.f64 x) -2))
(.f64 (/.f64 1 (.f64 (/.f64 y (cosh.f64 x)) 4)) (*.f64 (sin.f64 y) 4))
(.f64 (/.f64 (.f64 (cosh.f64 x) -2) (*.f64 y (/.f64 2 (sin.f64 y)))) -1)
(.f64 (/.f64 (.f64 (cosh.f64 x) 2) (*.f64 (/.f64 2 (sin.f64 y)) (neg.f64 y))) -1)
(.f64 (/.f64 1 (.f64 (/.f64 2 (sin.f64 y)) (neg.f64 y))) (*.f64 (cosh.f64 x) -2))
(*.f64 (/.f64 -1 (/.f64 y (cosh.f64 x))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (cosh.f64 x) (.f64 1/2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))))) -1)
(.f64 (/.f64 1 (.f64 1/2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))))) (neg.f64 (cosh.f64 x)))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))) -1)
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 (cosh.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 (cosh.f64 x) y) -2) (/.f64 2 (sin.f64 y))) -1)
(.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (cosh.f64 x)))
(.f64 (+.f64 (/.f64 2 y) (/.f64 2 y)) (.f64 (.f64 (cosh.f64 x) 1/2) (.f64 1/2 (sin.f64 y))))
(.f64 (+.f64 (/.f64 1/2 (.f64 y (/.f64 2 (sin.f64 y)))) (/.f64 1/2 (.f64 y (/.f64 2 (sin.f64 y))))) (.f64 (cosh.f64 x) 2))
(.f64 (+.f64 (/.f64 1 (.f64 y (/.f64 2 (cosh.f64 x)))) (/.f64 1 (*.f64 y (/.f64 2 (cosh.f64 x))))) (sin.f64 y))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(+.f64 (*.f64 y (/.f64 2 (sin.f64 y))) 0)
(+.f64 0 (*.f64 y (/.f64 2 (sin.f64 y))))
(+.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y)))
(-.f64 (*.f64 y (/.f64 2 (sin.f64 y))) 0)
(-.f64 0 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 y (*.f64 1/2 (sin.f64 y)))
(/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) 1)
(/.f64 (*.f64 4 (/.f64 y (sin.f64 y))) 2)
(/.f64 (/.f64 y (sin.f64 y)) 1/2)
(/.f64 (+.f64 y y) (sin.f64 y))
(/.f64 (.f64 y (.f64 (/.f64 2 (sin.f64 y)) 4)) 4)
(/.f64 (neg.f64 y) (neg.f64 (*.f64 1/2 (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))) -1)
(/.f64 (.f64 (.f64 4 (/.f64 y (sin.f64 y))) 4) 8)
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (sin.f64 y)))
(pow.f64 (*.f64 y (/.f64 2 (sin.f64 y))) 1)
(neg.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 y)))))
(+.f64 (/.f64 2 (sin.f64 y)) 0)
(+.f64 0 (/.f64 2 (sin.f64 y)))
(+.f64 (.f64 1/2 (/.f64 2 (sin.f64 y))) (.f64 1/2 (/.f64 2 (sin.f64 y))))
(-.f64 (/.f64 2 (sin.f64 y)) 0)
(-.f64 0 (neg.f64 (/.f64 2 (sin.f64 y))))
(.f64 1/2 (.f64 2 (/.f64 2 (sin.f64 y))))
(.f64 2 (.f64 1/2 (/.f64 2 (sin.f64 y))))
(*.f64 (/.f64 2 (sin.f64 y)) 1)
(*.f64 1 (/.f64 2 (sin.f64 y)))
(.f64 (.f64 2 (/.f64 2 (sin.f64 y))) 1/2)
(.f64 (.f64 1/2 (/.f64 2 (sin.f64 y))) 2)
(*.f64 (neg.f64 (/.f64 2 (sin.f64 y))) -1)
(pow.f64 (/.f64 2 (sin.f64 y)) 1)
(neg.f64 (neg.f64 (/.f64 2 (sin.f64 y))))

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (pow.f64 x 2) 2))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
(+.f64 (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))) (+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (pow.f64 x 2) 2)) (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(+.f64 (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))) (+.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (.f64 1/720 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 6) y)))) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (+.f64 (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4))) (.f64 1/720 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 6) y))))))
(+.f64 (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))) (+.f64 (.f64 1/720 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 6) y))) (.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (pow.f64 x 2) 2))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 2))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 2))) (+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240)) (+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))) (.f64 (pow.f64 y 6) (.f64 -1/10080 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4))))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
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(/.f64 2 (sin.f64 y))
(+.f64 (.f64 1/2 (/.f64 2 (sin.f64 y))) (.f64 1/2 (/.f64 2 (sin.f64 y))))
(/.f64 2 (sin.f64 y))
(-.f64 (/.f64 2 (sin.f64 y)) 0)
(/.f64 2 (sin.f64 y))
(-.f64 0 (neg.f64 (/.f64 2 (sin.f64 y))))
(/.f64 2 (sin.f64 y))
(.f64 1/2 (.f64 2 (/.f64 2 (sin.f64 y))))
(/.f64 2 (sin.f64 y))
(.f64 2 (.f64 1/2 (/.f64 2 (sin.f64 y))))
(/.f64 2 (sin.f64 y))
(*.f64 (/.f64 2 (sin.f64 y)) 1)
(/.f64 2 (sin.f64 y))
(*.f64 1 (/.f64 2 (sin.f64 y)))
(/.f64 2 (sin.f64 y))
(.f64 (.f64 2 (/.f64 2 (sin.f64 y))) 1/2)
(/.f64 2 (sin.f64 y))
(.f64 (.f64 1/2 (/.f64 2 (sin.f64 y))) 2)
(/.f64 2 (sin.f64 y))
(*.f64 (neg.f64 (/.f64 2 (sin.f64 y))) -1)
(/.f64 2 (sin.f64 y))
(pow.f64 (/.f64 2 (sin.f64 y)) 1)
(/.f64 2 (sin.f64 y))
(neg.f64 (neg.f64 (/.f64 2 (sin.f64 y))))
(/.f64 2 (sin.f64 y))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.2b	(.f64 (cosh.f64 x) (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y)))))
✓	0.4b	(/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y)))
✓	13.6b	(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y))))

Compiler

Compiled 62 to 10 computations (83.9% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite184.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2080×	`rational.json-1`
2080×	`rational.json-2`
2080×	`rational.json-4`
2080×	`rational.json-3`
1036×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	123
1	97	123
2	292	59
3	1128	59
4	5259	59

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

Inputs

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

(/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y)))

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

Outputs

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simplify232.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1930×	`rational.json-simplify-35`
1374×	`rational.json-simplify-49`
1120×	`rational.json-simplify-44`
974×	`rational.json-simplify-61`
940×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	555	6507
1	1971	6129

Stop Event

1×	node limit

Counts

287 → 313

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 2/45 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 2))))
(+.f64 (.f64 -1/315 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 2/45 (pow.f64 y 4)) (*.f64 -1/3 (pow.f64 y 2)))))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 y (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) (.f64 y (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(/.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))) (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (-.f64 0 (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 y y))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 y (.f64 (/.f64 y (sin.f64 y)) (.f64 (sin.f64 y) (/.f64 2 y)))))
(/.f64 (.f64 (sin.f64 y) 2) (+.f64 (.f64 y (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y))) (.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y)))))
(/.f64 (+.f64 y y) (.f64 (sin.f64 y) (/.f64 2 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y))))))
(/.f64 (+.f64 y y) (+.f64 (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))) (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) 2)
(/.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (.f64 (/.f64 y (sin.f64 y)) (*.f64 (sin.f64 y) (/.f64 2 y))))
(/.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y))))
(/.f64 2 (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 y 4) (.f64 (/.f64 y (sin.f64 y)) (.f64 (/.f64 y (sin.f64 y)) (.f64 (sin.f64 y) 4))))
(/.f64 (.f64 y 4) (+.f64 (.f64 (sin.f64 y) (/.f64 2 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))))) (.f64 (sin.f64 y) (/.f64 2 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y)))))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) 4)
(/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (+.f64 (.f64 (/.f64 y (sin.f64 y)) (.f64 (sin.f64 y) (/.f64 2 y))) (.f64 (/.f64 y (sin.f64 y)) (*.f64 (sin.f64 y) (/.f64 2 y)))))
(/.f64 (.f64 y (/.f64 2 (sin.f64 y))) (.f64 (+.f64 y y) (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(/.f64 (.f64 (.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) (.f64 y y))) (.f64 (sin.f64 y) (/.f64 2 y)))
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(.f64 (.f64 (sin.f64 y) 2) (.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 y)) 1))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) 1))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 2 (/.f64 (*.f64 y 4) (sin.f64 y))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 (/.f64 y (sin.f64 y)) (+.f64 y y))))
(.f64 2 (/.f64 (/.f64 (sin.f64 y) y) (.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 2 (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y))) 2))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 1 (/.f64 (*.f64 y 4) (sin.f64 y))))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) 4)))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))) (*.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 (.f64 (.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) (.f64 y y))) 1/2)
(.f64 (.f64 (.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) (.f64 y y))) (/.f64 (/.f64 y (sin.f64 y)) (*.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (.f64 y (.f64 (/.f64 y (sin.f64 y)) 4))))
(.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 1 y))
(.f64 (.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 2 y))) (/.f64 1/2 y))
(.f64 (/.f64 1 (sin.f64 y)) (.f64 (.f64 y (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y)))) (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (.f64 y (/.f64 y (sin.f64 y))))))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 1 (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 1 (/.f64 y (neg.f64 (sin.f64 y)))))
(.f64 (/.f64 (sin.f64 y) (.f64 y y)) (sin.f64 y))
(.f64 (/.f64 (sin.f64 y) (.f64 y y)) (.f64 (.f64 (sin.f64 y) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (sin.f64 y) (.f64 y y)) (/.f64 1 (/.f64 1 (sin.f64 y))))
(.f64 -1 (/.f64 (sin.f64 y) (neg.f64 (.f64 y (/.f64 y (sin.f64 y))))))
(.f64 -1 (/.f64 (sin.f64 y) (.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))))
(*.f64 -1 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 -1 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (neg.f64 (sin.f64 y)))))
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(.f64 (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (.f64 y y))) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y))) (sin.f64 y)) (/.f64 y (/.f64 y (sin.f64 y))))
(.f64 (.f64 y (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))) (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 (sin.f64 y) (*.f64 y y)) (/.f64 y (sin.f64 y))))
(.f64 (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y)) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))))
(.f64 (/.f64 2 y) (/.f64 (sin.f64 y) (.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 1/2 (.f64 (.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) (.f64 y y))))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 (/.f64 (sin.f64 y) (.f64 y y))))
(.f64 (fabs.f64 (/.f64 (sin.f64 y) (.f64 y y))) (fabs.f64 (sin.f64 y)))
(*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (sin.f64 y) y)))
(.f64 (fabs.f64 (.f64 (sin.f64 y) 2)) (fabs.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 y))))
(.f64 (fabs.f64 (.f64 (sin.f64 y) (/.f64 2 y))) (fabs.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y))))
(.f64 (fabs.f64 (/.f64 1 y)) (fabs.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y))))
(pow.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))) 1)
(fabs.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))))
(fabs.f64 (neg.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))))
(+.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 0)
(+.f64 0 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(-.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 0)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(/.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 2 y))) 2)
(/.f64 (.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) (.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
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(/.f64 (*.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 4) 4)
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(/.f64 (+.f64 (.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 4) (.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 4)) 8)
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(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (/.f64 y (sin.f64 y))) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y))))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y)))) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (.f64 (sin.f64 y) 2)) (/.f64 1/2 y))
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(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (/.f64 1 y)) (sin.f64 y))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (/.f64 (sin.f64 y) (.f64 y y))) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (/.f64 (sin.f64 y) (neg.f64 y)))
(pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
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(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
1
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(+.f64 1 (+.f64 (+.f64 (.f64 (pow.f64 y 2) -1/3) (.f64 (pow.f64 y 4) 2/45)) (*.f64 (pow.f64 y 6) -1/315)))
(+.f64 (.f64 (pow.f64 y 4) 2/45) (+.f64 (+.f64 1 (.f64 (pow.f64 y 2) -1/3)) (*.f64 (pow.f64 y 6) -1/315)))
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(.f64 -1 (/.f64 (sin.f64 y) (.f64 (/.f64 y (sin.f64 y)) (neg.f64 y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(*.f64 -1 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 (/.f64 y (sin.f64 y)))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(*.f64 -1 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 y (neg.f64 (sin.f64 y)))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (sin.f64 y))))
(.f64 2 (.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 (sin.f64 y))))))
(.f64 (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (.f64 y y))) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y))) (sin.f64 y)) (/.f64 y (/.f64 y (sin.f64 y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (.f64 y (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))) (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (sin.f64 y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (.f64 (sin.f64 y) (/.f64 y (sin.f64 y))) (/.f64 (/.f64 (sin.f64 y) (*.f64 y y)) (/.f64 y (sin.f64 y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y)) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (/.f64 2 y) (/.f64 (sin.f64 y) (.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 (/.f64 2 y) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (sin.f64 y))))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 1/2 (.f64 (.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) (.f64 y y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 (/.f64 (sin.f64 y) (.f64 y y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (fabs.f64 (/.f64 (sin.f64 y) (.f64 y y))) (fabs.f64 (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (fabs.f64 (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (fabs.f64 (.f64 (sin.f64 y) 2)) (fabs.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (fabs.f64 (.f64 (sin.f64 y) (/.f64 2 y))) (fabs.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(.f64 (fabs.f64 (/.f64 1 y)) (fabs.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(pow.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))) 1)
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(fabs.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(fabs.f64 (neg.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))
(+.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 0)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(+.f64 0 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(-.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 0)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 2 y))) 2)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) (.f64 y (/.f64 (/.f64 y (sin.f64 y)) (sin.f64 y))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (.f64 (cosh.f64 x) (.f64 (.f64 (sin.f64 y) 2) (/.f64 (sin.f64 y) (.f64 y y)))) (*.f64 (sin.f64 y) (/.f64 2 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 4) 4)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (.f64 (cosh.f64 x) (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y))) (sin.f64 y))) (/.f64 1 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (.f64 (cosh.f64 x) (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y))) (sin.f64 y))) (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 y y))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (+.f64 (.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 4) (.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 4)) 8)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) y) (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y))) (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (/.f64 y (sin.f64 y))) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (*.f64 y y)))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (.f64 (sin.f64 y) 2)) (/.f64 1/2 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (.f64 (sin.f64 y) (/.f64 2 y))) 1/2)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (/.f64 1 (sin.f64 y))) (.f64 y (.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 y y)))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (/.f64 1 y)) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (/.f64 (sin.f64 y) (.f64 y y))) (*.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))

eval3.4s (16.4%)

Compiler: Compiled 38425 to 18997 computations (50.6% saved)

prune356.0ms (1.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1308	10	1318
Fresh	5	4	9
Picked	1	0	1
Done	2	2	4
Total	1316	16	1332

Error

0.2b

Counts

1332 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
▶	1.0b	(/.f64 (sin.f64 y) y)
✓	0.5b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	0.5b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
▶	0.4b	(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2))) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/24 (pow.f64 x 4)))))
	5.6b	(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/720 (*.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
	3.8b	(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) 1)))))
	0.6b	(+.f64 (.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (pow.f64 x 2) 2)) (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))))
	0.6b	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
	0.7b	(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (pow.f64 x 2) 2))
▶	0.6b	(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
	0.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (*.f64 y (/.f64 (sin.f64 y) y))))
	14.1b	(.f64 (cosh.f64 x) (/.f64 (.f64 y -2) (.f64 (/.f64 y (sin.f64 y)) (.f64 y -2))))
▶	0.6b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))))
	14.5b	(.f64 (cosh.f64 x) (.f64 4 (/.f64 (/.f64 1/2 (/.f64 y (.f64 (sin.f64 y) (sin.f64 y)))) (.f64 2 (sin.f64 y)))))
✓	33.5b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 549 to 355 computations (35.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/24 (pow.f64 x 4)))
✓	0.1b	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2)))
✓	0.1b	(*.f64 1/24 (pow.f64 x 4))
	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 97 to 53 computations (45.4% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2)))
0.0ms	y	@	inf	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2)))
0.0ms	y	@	0	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2)))
0.0ms	x	@	inf	(*.f64 1/24 (pow.f64 x 4))
0.0ms	x	@	0	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2)))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`rational.json-1`
1904×	`rational.json-2`
1904×	`rational.json-4`
1904×	`rational.json-3`
1196×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71
1	119	71
2	268	71
3	605	71
4	1586	71
5	5368	71

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs
(*.f64 1/24 (pow.f64 x 4))
(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 y) y) (.f64 1/24 (pow.f64 x 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/24 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/6)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/6)) (*.f64 2 (*.f64 (pow.f64 x 4) 1/6))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (pow.f64 x 4)) 1)))))

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simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1654×	`rational.json-simplify-35`
1314×	`rational.json-simplify-2`
956×	`rational.json-simplify-61`
760×	`rational.json-simplify-51`
716×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	5601
1	1364	5601
2	5085	5535

Stop Event

1×	node limit

Counts

185 → 179

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2)))))
(+.f64 (.f64 -1/10080 (.f64 (pow.f64 y 6) (pow.f64 x 2))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/2880 (*.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2880 (.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1/120960 (*.f64 (pow.f64 y 6) (pow.f64 x 4))))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 x 4)))
(-.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(/.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(/.f64 (*.f64 (pow.f64 x 4) 1/12) 2)
(/.f64 (*.f64 (pow.f64 x 4) 1/6) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/6)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/6)) (.f64 2 (.f64 (pow.f64 x 4) 1/6))) 16)
(pow.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(+.f64 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))) 0)
(+.f64 0 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(-.f64 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))) 0)
(/.f64 4 (+.f64 (/.f64 4 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (/.f64 4 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)))))
(/.f64 4 (/.f64 (.f64 2 (.f64 y (/.f64 2 (sin.f64 y)))) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (sin.f64 y) y)) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (sin.f64 y) (/.f64 2 (/.f64 (pow.f64 x 2) y)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (pow.f64 x 2)))
(/.f64 1/2 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(/.f64 2 (/.f64 4 (*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))))
(/.f64 2 (+.f64 (/.f64 2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (/.f64 2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)))))
(/.f64 (pow.f64 x 2) (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))) 1)
(/.f64 1 (/.f64 2 (*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 4 (/.f64 (pow.f64 x 2) y)))
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 2 (/.f64 (pow.f64 x 2) y)) (/.f64 2 (/.f64 (pow.f64 x 2) y))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)) 2)
(/.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 2 (pow.f64 x 2)) (.f64 4 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 4 (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))
(/.f64 (*.f64 4 (sin.f64 y)) (+.f64 (/.f64 4 (/.f64 (pow.f64 x 2) y)) (/.f64 4 (/.f64 (pow.f64 x 2) y))))
(/.f64 (.f64 4 (sin.f64 y)) (/.f64 (.f64 4 y) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 4 (sin.f64 y)) (/.f64 4 (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 y) 1/2) (pow.f64 x 2)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (pow.f64 x 2)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 2 (pow.f64 x 2))) 4)
(/.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 4 (/.f64 y (sin.f64 y))) (*.f64 4 (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 4 (/.f64 (sin.f64 y) y)) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 4 (pow.f64 x 2))))
(/.f64 (.f64 4 (/.f64 (sin.f64 y) y)) (/.f64 4 (.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 4 (sin.f64 y))) (/.f64 (.f64 2 (.f64 4 y)) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (/.f64 (pow.f64 x 2) y) (/.f64 2 (sin.f64 y)))
(/.f64 (/.f64 (pow.f64 x 2) y) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (*.f64 (sin.f64 y) -2) (+.f64 (/.f64 (/.f64 (neg.f64 y) 1/2) (pow.f64 x 2)) (/.f64 (/.f64 (neg.f64 y) 1/2) (pow.f64 x 2))))
(/.f64 (.f64 (sin.f64 y) -2) (/.f64 (.f64 2 (neg.f64 y)) (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 (sin.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) (.f64 1/2 (pow.f64 x 2))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (pow.f64 x 2)))
(/.f64 (.f64 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)) 4) 8)
(/.f64 (.f64 (.f64 1/2 (pow.f64 x 2)) (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 y)))
(/.f64 (/.f64 4 (/.f64 y (sin.f64 y))) (/.f64 4 (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y 1/2)) (/.f64 1 (pow.f64 x 2)))
(/.f64 (/.f64 (pow.f64 x 2) 4) (/.f64 (/.f64 y 2) (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 x 2)) (-.f64 0 (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 -1 (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (neg.f64 (*.f64 1/2 (pow.f64 x 2))) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)) 4) (.f64 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)) 4)) 16)
(/.f64 (+.f64 (neg.f64 (.f64 1/2 (pow.f64 x 2))) (neg.f64 (.f64 1/2 (pow.f64 x 2)))) (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 (.f64 1/2 (pow.f64 x 2)) 1/2) (.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 (*.f64 1/2 (pow.f64 x 2)) (neg.f64 y)) (/.f64 -1 (sin.f64 y)))
(/.f64 (/.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 1 (sin.f64 y))) y)
(/.f64 (neg.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) (-.f64 0 (/.f64 1 (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 1/2 (pow.f64 x 2)))) (/.f64 y (sin.f64 y)))
(pow.f64 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))) 1)
(+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) 0)
(+.f64 0 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))))
(-.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) 0)
(/.f64 4 (+.f64 (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4)) 1/48) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4)) 1/48)))
(/.f64 4 (/.f64 (.f64 2 (.f64 y (/.f64 2 (sin.f64 y)))) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (sin.f64 y) y)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (*.f64 1/24 (pow.f64 x 4)) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 24 (pow.f64 x 4)))
(/.f64 1/2 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 (pow.f64 x 4) 1/12)))
(/.f64 1/2 (/.f64 (/.f64 (/.f64 y 2) (sin.f64 y)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 (*.f64 1/24 (pow.f64 x 4)) y)))
(/.f64 2 (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4)) 1/48))
(/.f64 2 (+.f64 (/.f64 (/.f64 y (sin.f64 y)) (.f64 1/24 (pow.f64 x 4))) (/.f64 (/.f64 y (sin.f64 y)) (.f64 1/24 (pow.f64 x 4)))))
(/.f64 2 (/.f64 (/.f64 4 (/.f64 (sin.f64 y) y)) (*.f64 (pow.f64 x 4) 1/12)))
(/.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) 1)
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (*.f64 1/24 (pow.f64 x 4)) y)))
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 (/.f64 y (pow.f64 x 4)) 1/48))
(/.f64 (.f64 (sin.f64 y) 2) (+.f64 (/.f64 y (.f64 1/24 (pow.f64 x 4))) (/.f64 y (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 4) 1/12)) 2)
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 48 (pow.f64 x 4)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (/.f64 24 (pow.f64 x 4)) (/.f64 24 (pow.f64 x 4))))
(/.f64 (*.f64 4 (sin.f64 y)) (+.f64 (/.f64 (/.f64 y (pow.f64 x 4)) 1/48) (/.f64 (/.f64 y (pow.f64 x 4)) 1/48)))
(/.f64 (.f64 4 (sin.f64 y)) (/.f64 (.f64 4 y) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (.f64 4 (sin.f64 y)) (/.f64 4 (/.f64 (.f64 1/24 (pow.f64 x 4)) y)))
(/.f64 (.f64 (pow.f64 x 4) 1/12) (.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 (pow.f64 x 4) 1/12)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 (*.f64 1/24 (pow.f64 x 4)) y)))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 4) 1/6)) 4)
(/.f64 (*.f64 4 (/.f64 (sin.f64 y) y)) (+.f64 (/.f64 48 (pow.f64 x 4)) (/.f64 48 (pow.f64 x 4))))
(/.f64 (.f64 4 (/.f64 (sin.f64 y) y)) (/.f64 4 (.f64 1/24 (pow.f64 x 4))))
(/.f64 (.f64 2 (.f64 4 (sin.f64 y))) (/.f64 (.f64 2 (.f64 4 y)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (.f64 (pow.f64 x 4) 1/6) (.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 (pow.f64 x 4) 1/6) (.f64 4 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) y) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (.f64 (sin.f64 y) -2) (+.f64 (/.f64 (neg.f64 y) (.f64 1/24 (pow.f64 x 4))) (/.f64 (neg.f64 y) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 (.f64 (sin.f64 y) -2) (/.f64 (.f64 2 (neg.f64 y)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (.f64 (sin.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) (.f64 1/24 (pow.f64 x 4))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 (pow.f64 x 4) 1/12)))
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/6)) (+.f64 (.f64 4 (/.f64 y (sin.f64 y))) (.f64 4 (/.f64 y (sin.f64 y)))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) (*.f64 (pow.f64 x 4) 1/6))) 8)
(/.f64 (.f64 (.f64 1/24 (pow.f64 x 4)) (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 y)))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/6) (/.f64 y (sin.f64 y))) 4)
(/.f64 (/.f64 4 (/.f64 y (sin.f64 y))) (/.f64 4 (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y 1/2)) (/.f64 1 (*.f64 (pow.f64 x 4) 1/12)))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/12) 4) (/.f64 (/.f64 y 2) (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 -1 (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (neg.f64 (*.f64 1/24 (pow.f64 x 4))) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (+.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) y) (/.f64 (.f64 1/24 (pow.f64 x 4)) y)) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 4) 1/6))) (.f64 2 (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 4) 1/6)))) 16)
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 4) 1/6) (/.f64 y (sin.f64 y))) (/.f64 (.f64 (pow.f64 x 4) 1/6) (/.f64 y (sin.f64 y)))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 1/24 (pow.f64 x 4))) (neg.f64 (.f64 1/24 (pow.f64 x 4)))) (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 1/2) (.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) (neg.f64 y)) (/.f64 -1 (sin.f64 y)))
(/.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) (/.f64 1 (sin.f64 y))) y)
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/12) y) (/.f64 2 (sin.f64 y)))
(/.f64 (neg.f64 (.f64 (pow.f64 x 4) 1/12)) (-.f64 0 (.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (neg.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) y)) (-.f64 0 (/.f64 1 (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 1/24 (pow.f64 x 4)))) (/.f64 y (sin.f64 y)))
(pow.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) 1)

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (pow.f64 (*.f64 y x) 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (pow.f64 (*.f64 x y) 2)))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (pow.f64 (.f64 y x) 2)) (.f64 1/240 (*.f64 (pow.f64 x 2) (pow.f64 y 4)))))
(+.f64 (.f64 -1/12 (pow.f64 (.f64 x y) 2)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 -1/12 (pow.f64 (.f64 x y) 2)) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))))
(+.f64 (.f64 -1/10080 (.f64 (pow.f64 y 6) (pow.f64 x 2))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 1/240 (*.f64 (pow.f64 y 4) (pow.f64 x 2))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -1/12 (pow.f64 (.f64 y x) 2)) (.f64 1/240 (.f64 (pow.f64 x 2) (pow.f64 y 4)))) (.f64 -1/10080 (*.f64 (pow.f64 x 2) (pow.f64 y 6)))))
(+.f64 (.f64 -1/12 (pow.f64 (.f64 x y) 2)) (+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 y 4) 1/240))) (.f64 (pow.f64 x 2) (*.f64 -1/10080 (pow.f64 y 6)))))
(+.f64 (.f64 -1/12 (pow.f64 (.f64 x y) 2)) (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/10080 (pow.f64 y 6))) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 4) -1/144)))
(.f64 (pow.f64 x 4) (+.f64 1/24 (.f64 (pow.f64 y 2) -1/144)))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/2880 (*.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2880 (pow.f64 (.f64 y x) 4)) (.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 4) -1/144))))
(+.f64 (.f64 1/2880 (pow.f64 (.f64 x y) 4)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 4) -1/144))))
(+.f64 (.f64 (pow.f64 x 4) (+.f64 1/24 (.f64 (pow.f64 y 2) -1/144))) (.f64 1/2880 (pow.f64 (.f64 x y) 4)))
(+.f64 (.f64 -1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2880 (.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1/120960 (*.f64 (pow.f64 y 6) (pow.f64 x 4))))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 1/2880 (pow.f64 (.f64 y x) 4)) (.f64 (pow.f64 y 6) (.f64 (pow.f64 x 4) -1/120960))) (.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 4) -1/144))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 4) -1/144)) (+.f64 (.f64 1/2880 (pow.f64 (.f64 x y) 4)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 (pow.f64 x 4) (*.f64 -1/120960 (pow.f64 y 6))))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 4) -1/144)) (+.f64 (.f64 1/2880 (pow.f64 (.f64 x y) 4)) (.f64 (pow.f64 x 4) (+.f64 1/24 (.f64 (pow.f64 y 6) -1/120960)))))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(*.f64 1/24 (pow.f64 x 4))
(+.f64 0 (*.f64 1/24 (pow.f64 x 4)))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/12) 2)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/6) 4)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/6)) 8)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/6)) (.f64 2 (.f64 (pow.f64 x 4) 1/6))) 16)
(*.f64 1/24 (pow.f64 x 4))
(pow.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))) 0)
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(+.f64 0 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(-.f64 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))) 0)
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 4 (+.f64 (/.f64 4 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (/.f64 4 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 4 (/.f64 (.f64 2 (.f64 y (/.f64 2 (sin.f64 y)))) (*.f64 1/2 (pow.f64 x 2))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 4 (/.f64 (/.f64 4 (/.f64 (sin.f64 y) y)) (*.f64 1/2 (pow.f64 x 2))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) (/.f64 2 (/.f64 (pow.f64 x 2) y)))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 1/2 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 2 (/.f64 4 (*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 2 (+.f64 (/.f64 2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (/.f64 2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (pow.f64 x 2) (*.f64 y (/.f64 2 (sin.f64 y))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 y (sin.f64 y)))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))) 1)
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 1 (/.f64 2 (*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 4 (/.f64 (pow.f64 x 2) y)))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 2 (/.f64 (pow.f64 x 2) y)) (/.f64 2 (/.f64 (pow.f64 x 2) y))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y)) 2)
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 2 (pow.f64 x 2)) (.f64 4 (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
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(*.f64 (/.f64 2 y) (/.f64 (pow.f64 x 2) (/.f64 4 (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 2 y) (/.f64 (sin.f64 y) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(*.f64 (sin.f64 y) (/.f64 (/.f64 2 y) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
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(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 4 (sin.f64 y)) (/.f64 (.f64 4 y) (*.f64 1/2 (pow.f64 x 2))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 4 (sin.f64 y)) (/.f64 4 (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 1/2 (pow.f64 x 2))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 y) 1/2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (*.f64 1/2 (pow.f64 x 2))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 2 (pow.f64 x 2))) 4)
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 4 (/.f64 y (sin.f64 y))) (*.f64 4 (/.f64 y (sin.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 4 (/.f64 (sin.f64 y) y)) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 4 (pow.f64 x 2))))
(*.f64 4 (/.f64 (/.f64 (sin.f64 y) y) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 4 (pow.f64 x 2)))))
(/.f64 (.f64 4 (/.f64 (sin.f64 y) y)) (/.f64 4 (.f64 1/2 (pow.f64 x 2))))
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(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (+.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) y) (/.f64 (.f64 1/24 (pow.f64 x 4)) y)) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 4) 1/6))) (.f64 2 (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 4) 1/6)))) 16)
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 4) 1/6) (/.f64 y (sin.f64 y))) (/.f64 (.f64 (pow.f64 x 4) 1/6) (/.f64 y (sin.f64 y)))) 8)
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (+.f64 (neg.f64 (.f64 1/24 (pow.f64 x 4))) (neg.f64 (.f64 1/24 (pow.f64 x 4)))) (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 1/2) (.f64 y (/.f64 2 (sin.f64 y))))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) (neg.f64 y)) (/.f64 -1 (sin.f64 y)))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) (/.f64 1 (sin.f64 y))) y)
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/12) y) (/.f64 2 (sin.f64 y)))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (neg.f64 (.f64 (pow.f64 x 4) 1/12)) (-.f64 0 (.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (neg.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) y)) (-.f64 0 (/.f64 1 (sin.f64 y))))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 1/24 (pow.f64 x 4)))) (/.f64 y (sin.f64 y)))
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(pow.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) 1)
(.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))
(.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (cosh.f64 x) y)
0.0ms	x	@	-inf	(/.f64 (cosh.f64 x) y)
0.0ms	y	@	-inf	(/.f64 1 (sin.f64 y))
0.0ms	x	@	0	(/.f64 (cosh.f64 x) y)
0.0ms	y	@	-inf	(/.f64 (cosh.f64 x) y)

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`exponential.json-3`
1558×	`rational.json-1`
1558×	`rational.json-2`
1558×	`rational.json-4`
1558×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	94	43
2	296	43
3	1005	43
4	4400	43

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1096×	`rational.json-simplify-35`
1060×	`rational.json-simplify-51`
892×	`rational.json-simplify-44`
886×	`rational.json-simplify-2`
840×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	311	4810
1	675	4726
2	1692	4626
3	5525	4602

Stop Event

1×	node limit

Counts

192 → 205

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(+.f64 0 (/.f64 (cosh.f64 x) y))
(+.f64 -1 (-.f64 1 (/.f64 (cosh.f64 x) (neg.f64 y))))
(-.f64 (/.f64 (cosh.f64 x) y) 0)
(-.f64 0 (/.f64 (cosh.f64 x) (neg.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 1 y))
(*.f64 (/.f64 (cosh.f64 x) y) 1)
(*.f64 1 (/.f64 (cosh.f64 x) y))
(.f64 2 (.f64 (cosh.f64 x) (/.f64 1/2 y)))
(.f64 (.f64 (cosh.f64 x) (/.f64 2 y)) 1/2)
(.f64 (.f64 (cosh.f64 x) 2) (/.f64 1/2 y))
(.f64 (.f64 (cosh.f64 x) 2) (*.f64 (/.f64 1 y) 1/2))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) 4) 1/4)
(.f64 (.f64 (cosh.f64 x) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (/.f64 1 y) (cosh.f64 x))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) -1)
(*.f64 -1 (/.f64 (cosh.f64 x) (neg.f64 y)))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (cosh.f64 x) 1/2))
(.f64 1/2 (.f64 (cosh.f64 x) (/.f64 2 y)))
(.f64 (/.f64 1/2 y) (.f64 (cosh.f64 x) 2))
(.f64 (.f64 (cosh.f64 x) 1/2) (*.f64 2 (/.f64 1 y)))
(.f64 (.f64 (cosh.f64 x) (/.f64 1/2 y)) 2)
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (cosh.f64 x) 2))
(.f64 1/4 (.f64 (/.f64 (cosh.f64 x) y) 4))
(*.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (cosh.f64 x)))
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (cosh.f64 x) 4))
(pow.f64 (/.f64 (cosh.f64 x) y) 1)
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 0)
(+.f64 0 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(-.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 0)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(.f64 1 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (sin.f64 y) (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(*.f64 2 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 2 (sin.f64 y))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 y (/.f64 2 (cosh.f64 x)))))
(.f64 2 (/.f64 (cosh.f64 x) (.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 2 (/.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (cosh.f64 x) (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 2 (/.f64 y (/.f64 (cosh.f64 x) 4))))
(.f64 (.f64 (cosh.f64 x) (/.f64 2 y)) (/.f64 (sin.f64 y) 2))
(.f64 (.f64 (cosh.f64 x) (/.f64 2 y)) (*.f64 (sin.f64 y) 1/2))
(.f64 (.f64 (cosh.f64 x) 2) (/.f64 (sin.f64 y) (+.f64 y y)))
(.f64 (.f64 (cosh.f64 x) 2) (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (.f64 (cosh.f64 x) 2) (*.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 (.f64 (cosh.f64 x) 2) (*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) 2)))
(.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 1 y))
(.f64 (.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (*.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(.f64 (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 2 y))) 1/2)
(.f64 (.f64 (/.f64 (cosh.f64 x) y) 4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 y)) 4)))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (.f64 2 (.f64 y (/.f64 2 (cosh.f64 x))))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (/.f64 y (/.f64 (cosh.f64 x) 4))))
(.f64 (.f64 (cosh.f64 x) 4) (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) (.f64 y 4))))
(.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)) (/.f64 1/2 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(.f64 (/.f64 1 y) (.f64 (cosh.f64 x) (sin.f64 y)))
(.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))))
(.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (.f64 y (/.f64 -1 (sin.f64 y)))))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (/.f64 1 (/.f64 -1 (sin.f64 y))))
(.f64 (.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (/.f64 1 (neg.f64 y)))
(.f64 -1 (/.f64 (cosh.f64 x) (.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))))
(.f64 -1 (/.f64 (cosh.f64 x) (.f64 y (/.f64 -1 (sin.f64 y)))))
(*.f64 -1 (/.f64 (cosh.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 -1 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 -1 (sin.f64 y))))
(.f64 -1 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (neg.f64 y)))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 (cosh.f64 x) (/.f64 2 (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 (cosh.f64 x) 1/2))
(.f64 (/.f64 (sin.f64 y) 2) (.f64 (cosh.f64 x) (/.f64 2 y)))
(.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (.f64 (cosh.f64 x) 2))
(.f64 1/2 (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)))
(.f64 (.f64 (cosh.f64 x) 1/2) (*.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (.f64 (cosh.f64 x) (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(.f64 (.f64 (sin.f64 y) 1/2) (*.f64 (cosh.f64 x) (/.f64 2 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 (cosh.f64 x) 2))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (*.f64 (cosh.f64 x) 2))
(.f64 (.f64 (/.f64 1 y) (/.f64 (sin.f64 y) 2)) (*.f64 (cosh.f64 x) 2))
(.f64 (/.f64 (cosh.f64 x) (.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))) -1)
(.f64 (/.f64 (cosh.f64 x) (.f64 y (/.f64 -1 (sin.f64 y)))) -1)
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))) -1)
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 -1 (sin.f64 y))) -1)
(.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)) -1)
(.f64 (/.f64 (cosh.f64 x) (/.f64 2 (sin.f64 y))) (.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 2 (sin.f64 y))) 2)
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) 4)) (*.f64 (/.f64 (cosh.f64 x) y) 4))
(*.f64 (/.f64 1 (/.f64 -1 (sin.f64 y))) (/.f64 (cosh.f64 x) (neg.f64 y)))
(.f64 (/.f64 (sin.f64 y) (.f64 y (/.f64 2 (cosh.f64 x)))) 2)
(.f64 (/.f64 (cosh.f64 x) (.f64 y (/.f64 2 (sin.f64 y)))) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) (*.f64 (sin.f64 y) (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) (sin.f64 y))
(.f64 (/.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2) 2)
(.f64 (/.f64 1 (.f64 2 (.f64 y (/.f64 2 (cosh.f64 x))))) (.f64 (sin.f64 y) 4))
(.f64 (/.f64 1 (/.f64 y (/.f64 (cosh.f64 x) 4))) (.f64 (sin.f64 y) 4))
(.f64 (/.f64 2 (/.f64 y (/.f64 (cosh.f64 x) 4))) (.f64 (sin.f64 y) 2))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) (.f64 y 4))) (.f64 (cosh.f64 x) 4))
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))) (neg.f64 (cosh.f64 x)))
(.f64 (/.f64 1 (.f64 y (/.f64 -1 (sin.f64 y)))) (neg.f64 (cosh.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (cosh.f64 x)))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))))
(pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) y) (neg.f64 (sin.f64 y))))
(neg.f64 (/.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (/.f64 1 (sin.f64 y))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (cosh.f64 x))))
(neg.f64 (/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))))
(neg.f64 (/.f64 (cosh.f64 x) (*.f64 y (/.f64 -1 (sin.f64 y)))))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))))
(neg.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 -1 (sin.f64 y))))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(+.f64 (/.f64 1 (sin.f64 y)) 0)
(+.f64 0 (/.f64 1 (sin.f64 y)))
(-.f64 (/.f64 1 (sin.f64 y)) 0)
(-.f64 0 (/.f64 -1 (sin.f64 y)))
(*.f64 1 (/.f64 1 (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 y)) 2))
(.f64 2 (/.f64 (sin.f64 y) (.f64 2 (*.f64 (sin.f64 y) (sin.f64 y)))))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1 (.f64 2 (.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (/.f64 2 (sin.f64 y)) 1/2)
(.f64 (.f64 (/.f64 1 (sin.f64 y)) 4) 1/4)
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) 2) (/.f64 2 (.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 1/2 (/.f64 2 (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))) (sin.f64 y))
(.f64 (/.f64 2 (.f64 (sin.f64 y) (sin.f64 y))) (/.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) 2) 2)
(.f64 1/4 (.f64 (/.f64 1 (sin.f64 y)) 4))
(.f64 (/.f64 1 (.f64 2 (.f64 (sin.f64 y) (sin.f64 y)))) (.f64 (sin.f64 y) 2))
(.f64 (/.f64 (sin.f64 y) (.f64 2 (*.f64 (sin.f64 y) (sin.f64 y)))) 2)
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(neg.f64 (/.f64 -1 (sin.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))))

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) y)) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) 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 y) (+.f64 (.f64 1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) y)) (.f64 1/24 (/.f64 (pow.f64 x 4) y))) (*.f64 1/720 (/.f64 (pow.f64 x 6) y))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) y)) (.f64 1/24 (/.f64 (pow.f64 x 4) y))) (+.f64 (/.f64 1 y) (*.f64 1/720 (/.f64 (pow.f64 x 6) y))))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 (pow.f64 x 4) (.f64 1/24 (/.f64 (sin.f64 y) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(+.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y)))) (+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 (pow.f64 x 4) (.f64 1/24 (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (pow.f64 x 4) (.f64 1/24 (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 2) -1/12)) (+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (*.f64 -1/12 (pow.f64 y 2)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 1/240 (pow.f64 y 4)) (*.f64 -1/12 (pow.f64 y 2)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 2) -1/12)) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240)) (+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/240 (pow.f64 y 4))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/10080 (pow.f64 y 6))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4))))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (+.f64 1/2 (+.f64 (.f64 1/240 (pow.f64 y 4)) (.f64 -1/12 (pow.f64 y 2))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
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(neg.f64 (/.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (/.f64 1 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (cosh.f64 x))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (/.f64 (cosh.f64 x) (*.f64 y (/.f64 -1 (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 -1 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(+.f64 (/.f64 1 (sin.f64 y)) 0)
(/.f64 1 (sin.f64 y))
(+.f64 0 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(-.f64 (/.f64 1 (sin.f64 y)) 0)
(/.f64 1 (sin.f64 y))
(-.f64 0 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 y)) 2))
(/.f64 1 (sin.f64 y))
(.f64 2 (/.f64 (sin.f64 y) (.f64 2 (*.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 1 (sin.f64 y))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1 (.f64 2 (.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 2 (sin.f64 y)) 1/2)
(*.f64 1/2 (/.f64 2 (sin.f64 y)))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) 4) 1/4)
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(/.f64 1 (sin.f64 y))
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(.f64 (/.f64 (sin.f64 y) 2) (/.f64 2 (.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (/.f64 2 (sin.f64 y)) 2)
(*.f64 1/2 (/.f64 2 (sin.f64 y)))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (sin.f64 y))) (sin.f64 y))
(/.f64 1 (sin.f64 y))
(.f64 (/.f64 2 (.f64 (sin.f64 y) (sin.f64 y))) (/.f64 (sin.f64 y) 2))
(.f64 (/.f64 (sin.f64 y) 2) (/.f64 2 (.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (/.f64 2 (sin.f64 y)) 2)
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) 2) 2)
(/.f64 1 (sin.f64 y))
(.f64 1/4 (.f64 (/.f64 1 (sin.f64 y)) 4))
(/.f64 1 (sin.f64 y))
(.f64 (/.f64 1 (.f64 2 (.f64 (sin.f64 y) (sin.f64 y)))) (.f64 (sin.f64 y) 2))
(/.f64 1 (sin.f64 y))
(.f64 (/.f64 (sin.f64 y) (.f64 2 (*.f64 (sin.f64 y) (sin.f64 y)))) 2)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(neg.f64 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 1 (sin.f64 y))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	0.2b	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)
✓	0.3b	(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))

Compiler

Compiled 51 to 14 computations (72.5% saved)

series7.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite186.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`rational.json-1`
1774×	`rational.json-2`
1774×	`rational.json-4`
1774×	`rational.json-3`
1768×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	103	85
2	260	85
3	641	85
4	1664	85
5	5164	85

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs

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

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

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

simplify1.2s (5.6%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational.json-simplify-2`
872×	`rational.json-simplify-35`
786×	`rational.json-simplify-39`
782×	`rational.json-simplify-41`
728×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	5928
1	943	5928
2	3612	5856
3	6135	5856

Stop Event

1×	node limit

Counts

172 → 165

Calls

Call 1

Inputs
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 -1/12 (*.f64 (pow.f64 y 2) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 -1/12 (*.f64 (pow.f64 y 2) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (.f64 -1/10080 (*.f64 (pow.f64 y 6) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (sin.f64 y)) y))
(/.f64 2 y)
(+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 x 4) y)) (+.f64 (.f64 2 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 1/360 (/.f64 (pow.f64 x 6) y)) (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 4) y)) (+.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (sin.f64 y) (/.f64 1/2 y))) 0)
(+.f64 0 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (sin.f64 y) (/.f64 1/2 y))))
(-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (sin.f64 y) (/.f64 1/2 y))) 0)
(/.f64 (sin.f64 y) (*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (+.f64 y y) (sin.f64 y)))
(/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (/.f64 2 (sin.f64 y)))
(/.f64 1/2 (/.f64 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) (/.f64 1/2 y))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 y)) (/.f64 1 (sin.f64 y)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (sin.f64 y) (/.f64 1/2 y))) 1)
(/.f64 1 (/.f64 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) 1/2)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) (/.f64 1/2 y))))
(/.f64 -1 (/.f64 (/.f64 (neg.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) 1/2)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (/.f64 (.f64 y 4) (sin.f64 y)))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (+.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (/.f64 (+.f64 y y) (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (/.f64 4 (*.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(/.f64 2 (+.f64 (/.f64 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (sin.f64 y) 1/2)) (/.f64 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (sin.f64 y) 1/2))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)) (/.f64 4 (sin.f64 y)))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)) (+.f64 (/.f64 2 (sin.f64 y)) (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (+.f64 (/.f64 (.f64 y 4) (sin.f64 y)) (/.f64 (*.f64 y 4) (sin.f64 y))))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (/.f64 (.f64 y 4) (*.f64 (sin.f64 y) 1/2)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (/.f64 4 (.f64 (sin.f64 y) (/.f64 1/2 y))))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 2 (*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) 2)
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) 1/2)))
(/.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (neg.f64 (*.f64 (sin.f64 y) 1/2))))
(/.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (neg.f64 (+.f64 y y)) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 (*.f64 (sin.f64 y) (/.f64 1/2 y))))
(/.f64 4 (+.f64 (/.f64 4 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))) (/.f64 4 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))))
(/.f64 4 (/.f64 (.f64 2 (.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (*.f64 (sin.f64 y) 1/2)))
(/.f64 4 (/.f64 (/.f64 (.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (sin.f64 y) 1/2)))
(/.f64 (.f64 (sin.f64 y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y))) 4)
(/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 4) (+.f64 (/.f64 4 (sin.f64 y)) (/.f64 4 (sin.f64 y))))
(/.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 4) (/.f64 4 (.f64 (sin.f64 y) 1/2)))
(/.f64 (.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 4) (/.f64 (.f64 (+.f64 y y) 4) (.f64 (sin.f64 y) 1/2)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) 1/2)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -2) (+.f64 (/.f64 y (neg.f64 (.f64 (sin.f64 y) 1/2))) (/.f64 y (neg.f64 (*.f64 (sin.f64 y) 1/2)))))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -2) (/.f64 (.f64 2 (neg.f64 y)) (*.f64 (sin.f64 y) 1/2)))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -2) (/.f64 (neg.f64 (+.f64 y y)) (.f64 (sin.f64 y) 1/2)))
(/.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)) (sin.f64 y)))
(/.f64 (.f64 2 (.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)))) 8)
(/.f64 (.f64 (.f64 (sin.f64 y) 1/2) (/.f64 1/2 y)) (/.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/4) (/.f64 4 (*.f64 (sin.f64 y) 1/2)))
(/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 y)) (/.f64 -1 (*.f64 (sin.f64 y) 1/2)))
(/.f64 (/.f64 (sin.f64 y) 4) (/.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)))
(/.f64 (neg.f64 (sin.f64 y)) (-.f64 0 (*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 -1 (*.f64 (sin.f64 y) 1/2)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 1/2)) (neg.f64 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y))) (+.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)))) (.f64 2 (.f64 (sin.f64 y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y))))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 y) 1/2)) (neg.f64 (.f64 (sin.f64 y) 1/2))) (+.f64 (neg.f64 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (neg.f64 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(/.f64 (/.f64 (.f64 (sin.f64 y) 1/2) 1/2) (.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 1/2) (neg.f64 y)) (/.f64 -1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y))) (-.f64 0 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 1/2))) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(pow.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (sin.f64 y) (/.f64 1/2 y))) 1)
(+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 0)
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 y)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 y)))
(+.f64 0 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(-.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 0)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 y))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 2 (*.f64 1/2 (/.f64 1 y))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 y))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1/2 y) (.f64 1/2 (/.f64 1 y))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/2 (/.f64 1 y)) (/.f64 1/2 y)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1)
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 y)) 2)
(*.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(*.f64 -1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 y)))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (*.f64 1/2 (/.f64 1 y)))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (/.f64 1/2 y))
(.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 y)))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)) 1/2)
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (/.f64 1 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 y))
(.f64 (.f64 1/2 (/.f64 1 y)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(.f64 (/.f64 1/2 y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(.f64 (.f64 2 (*.f64 1/2 (/.f64 1 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 y)) -1)
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))
(*.f64 (/.f64 -1 y) (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1)
(neg.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 y)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 0)
(-.f64 0 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(*.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 -1 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 1/2)
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 1/4)
(*.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 2)
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) 1) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 4)
(/.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)
(/.f64 (.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 4) 8)
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -2) -2)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 4)) 16)
(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(neg.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

Outputs
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 -1/12 (*.f64 (pow.f64 y 2) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 y 2) -1/12)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 -1/12 (*.f64 (pow.f64 y 2) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (.f64 1/240 (*.f64 (pow.f64 y 4) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (pow.f64 y 2) -1/12)) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (.f64 -1/10080 (*.f64 (pow.f64 y 6) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (+.f64 (.f64 -1/12 (.f64 (pow.f64 y 2) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) (.f64 1/240 (*.f64 (pow.f64 y 4) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (pow.f64 y 4) 1/240)) (+.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (pow.f64 y 2) -1/12)) (.f64 -1/10080 (*.f64 (pow.f64 y 6) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))
(+.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 1/240 (pow.f64 y 4))) (+.f64 (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 1/2 (.f64 -1/10080 (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (+.f64 (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))) (.f64 1/720 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 6) y))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
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(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
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(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sin.f64 y) 1/2)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -2) (+.f64 (/.f64 y (neg.f64 (.f64 (sin.f64 y) 1/2))) (/.f64 y (neg.f64 (*.f64 (sin.f64 y) 1/2)))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -2) (/.f64 (.f64 2 (neg.f64 y)) (*.f64 (sin.f64 y) 1/2)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -2) (/.f64 (neg.f64 (+.f64 y y)) (.f64 (sin.f64 y) 1/2)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)) (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 (.f64 (/.f64 2 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))))
(/.f64 (.f64 2 (.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)))) 8)
(.f64 (.f64 (/.f64 2 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 (sin.f64 y) 4))
(/.f64 (.f64 (.f64 (sin.f64 y) 1/2) (/.f64 1/2 y)) (/.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/4) (/.f64 4 (*.f64 (sin.f64 y) 1/2)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 y)) (/.f64 -1 (*.f64 (sin.f64 y) 1/2)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (/.f64 (sin.f64 y) 4) (/.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (neg.f64 (sin.f64 y)) (-.f64 0 (*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 -1 (*.f64 (sin.f64 y) 1/2)))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 1/2)) (neg.f64 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y))) (+.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)))) (.f64 2 (.f64 (sin.f64 y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y))))) 16)
(.f64 (.f64 (/.f64 2 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 (sin.f64 y) 4))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 y) 1/2)) (neg.f64 (.f64 (sin.f64 y) 1/2))) (+.f64 (neg.f64 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (neg.f64 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (/.f64 (.f64 (sin.f64 y) 1/2) 1/2) (.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 1/2) (neg.f64 y)) (/.f64 -1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y))) (-.f64 0 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) 1/2))) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(pow.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (sin.f64 y) (/.f64 1/2 y))) 1)
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 0)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 y)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 y)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(+.f64 0 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(-.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 0)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 y))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 2 (*.f64 1/2 (/.f64 1 y))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 y))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1/2 y) (.f64 1/2 (/.f64 1 y))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/2 (/.f64 1 y)) (/.f64 1/2 y)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)))
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 2 y) 1/2))
(.f64 (/.f64 2 y) (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 2 y))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 y)) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(*.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(*.f64 -1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 y)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (*.f64 1/2 (/.f64 1 y)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (/.f64 1/2 y))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 y)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 y)) 1/2)
(.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (/.f64 2 y) 1/2))
(.f64 (/.f64 2 y) (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(.f64 (.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 2 y))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (/.f64 1 (*.f64 y 4)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(*.f64 (/.f64 1 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(*.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 -1 y))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (.f64 1/2 (/.f64 1 y)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (/.f64 1/2 y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (.f64 2 (*.f64 1/2 (/.f64 1 y))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 y)) -1)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(*.f64 (/.f64 -1 y) (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(pow.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(neg.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 y)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 0)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 0 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 -1 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 1/2)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 1/4)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 2)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (exp.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 2)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 4)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 4) 8)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -2) -2)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 4)) 16)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(neg.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (/.f64 y (sin.f64 y)))
✓	0.2b	(/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))
✓	0.2b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))))
✓	0.3b	(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))

Compiler

Compiled 69 to 17 computations (75.4% saved)

series2.0ms (0%)

Counts

4 → 60

Calls

15 calls:

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

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`exponential.json-3`
1466×	`rational.json-1`
1466×	`rational.json-2`
1466×	`rational.json-4`
1466×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	158
1	116	98
2	355	98
3	1379	58
4	4535	58

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

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

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

simplify203.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1548×	`rational.json-simplify-35`
1234×	`rational.json-simplify-49`
842×	`rational.json-simplify-46`
804×	`rational.json-simplify-44`
670×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	469	4808
1	1608	4658
2	7028	4658

Stop Event

1×	node limit

Counts

264 → 279

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
y
(+.f64 y (*.f64 -1/3 (pow.f64 y 3)))
(+.f64 y (+.f64 (.f64 2/45 (pow.f64 y 5)) (.f64 -1/3 (pow.f64 y 3))))
(+.f64 y (+.f64 (.f64 -1/315 (pow.f64 y 7)) (+.f64 (.f64 2/45 (pow.f64 y 5)) (*.f64 -1/3 (pow.f64 y 3)))))
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
(/.f64 (pow.f64 (sin.f64 y) 2) y)
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 y (*.f64 y (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) (*.f64 y (/.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (sin.f64 y) (/.f64 1 (/.f64 1 y)))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (neg.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))) (neg.f64 y)))
(/.f64 (/.f64 y (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y))))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (sin.f64 y))
(/.f64 (+.f64 y y) (*.f64 (+.f64 y y) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (sin.f64 y)))))
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 y y))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 y (*.f64 2 (/.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 2 (*.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (.f64 y 4) (.f64 (*.f64 y 4) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (/.f64 y (sin.f64 y)) 4) (/.f64 (.f64 y 4) (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 y 4))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 (sin.f64 y) (*.f64 (/.f64 y (sin.f64 y)) 4)))
(/.f64 4 (*.f64 (/.f64 y (sin.f64 y)) 4))
(/.f64 (/.f64 2 (sin.f64 y)) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 (sin.f64 y) y) y)) (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 y) (*.f64 y (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))))
(/.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 y (neg.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
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(/.f64 (.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (.f64 (cosh.f64 x) 2)) (.f64 (sin.f64 y) 2))
(/.f64 (.f64 2 (.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 4)) 8)
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(*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y))
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(.f64 (neg.f64 y) (/.f64 1 (/.f64 y (neg.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y))))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 y (sin.f64 y))))
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(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 -1 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 (sin.f64 y)))))
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(.f64 (.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) 2) 1/2)
(.f64 1/2 (.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) 2))
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(pow.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) 1)
(neg.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y))))
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(*.f64 1 (sin.f64 y))
(*.f64 y (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) 1)
(.f64 (+.f64 y y) (.f64 (sin.f64 y) (/.f64 1/2 y)))
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(*.f64 2 (/.f64 (sin.f64 y) 2))
(.f64 2 (/.f64 y (.f64 (/.f64 y (sin.f64 y)) 2)))
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) 4)))
(.f64 (.f64 (sin.f64 y) 4) 1/4)
(.f64 (/.f64 1 y) (.f64 y (sin.f64 y)))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 y)))
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (sin.f64 y))))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 y (neg.f64 (sin.f64 y)))))
(*.f64 (neg.f64 (sin.f64 y)) -1)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(*.f64 -1 (/.f64 y (/.f64 y (neg.f64 (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) y) y)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 1 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 y 2))
(.f64 1/2 (.f64 (sin.f64 y) 2))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 y y))
(pow.f64 (sin.f64 y) 1)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(sin.f64 (-.f64 (PI.f64) y))

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

eval3.6s (17.2%)

Compiler: Compiled 25970 to 12923 computations (50.2% saved)

prune463.0ms (2.2%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1145	11	1156
Fresh	7	2	9
Picked	1	0	1
Done	2	4	6
Total	1155	17	1172

Error

0.2b

Counts

1172 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	14.5b	(/.f64 (/.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))
	1.1b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
▶	0.4b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
✓	1.0b	(/.f64 (sin.f64 y) y)
✓	0.5b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	0.5b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	5.6b	(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))))
	3.8b	(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) 1)))))
	14.7b	(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y))))
	15.3b	(.f64 (/.f64 1 (.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) (*.f64 (sin.f64 y) (sin.f64 y)))
▶	1.2b	(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
▶	1.2b	(*.f64 (/.f64 1 y) (sin.f64 y))
✓	0.6b	(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
▶	0.5b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y))))
	14.1b	(.f64 (cosh.f64 x) (/.f64 y (.f64 y (/.f64 y (sin.f64 y)))))
✓	33.5b	(*.f64 (cosh.f64 x) 1)
	33.9b	1

Compiler

Compiled 425 to 271 computations (36.2% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
✓	0.2b	(/.f64 y (cosh.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series10.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/.f64 y (cosh.f64 x))
2.0ms	x	@	0	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
1.0ms	y	@	0	(/.f64 y (cosh.f64 x))
1.0ms	x	@	-inf	(/.f64 y (cosh.f64 x))
1.0ms	x	@	inf	(/.f64 y (cosh.f64 x))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`rational.json-1`
1696×	`rational.json-2`
1696×	`rational.json-4`
1696×	`rational.json-3`
1672×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	68	32
2	212	32
3	652	32
4	2332	32
5	6016	32

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1736×	`rational.json-simplify-35`
1232×	`rational.json-simplify-49`
1040×	`rational.json-simplify-46`
1006×	`rational.json-simplify-2`
740×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	3447
1	464	3319
2	989	3259
3	2573	3189
4	6381	3189

Stop Event

1×	node limit

Counts

127 → 131

Calls

Call 1

Inputs
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
y
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y)
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) y))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) (+.f64 y (.f64 -1 (.f64 (+.f64 (.f64 -1/48 y) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/24 y) (.f64 -1/4 y))) (*.f64 1/720 y))) (pow.f64 x 6))))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(+.f64 (/.f64 y (cosh.f64 x)) 0)
(+.f64 0 (/.f64 y (cosh.f64 x)))
(+.f64 (/.f64 y (.f64 (cosh.f64 x) 2)) (/.f64 y (.f64 (cosh.f64 x) 2)))
(-.f64 (/.f64 y (cosh.f64 x)) 0)
(-.f64 0 (/.f64 y (neg.f64 (cosh.f64 x))))
(*.f64 y (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 y (cosh.f64 x)) 1)
(*.f64 1 (/.f64 y (cosh.f64 x)))
(.f64 (.f64 y (/.f64 2 (cosh.f64 x))) 1/2)
(*.f64 (+.f64 y y) (/.f64 1/2 (cosh.f64 x)))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (cosh.f64 x)) 1/2))
(.f64 2 (/.f64 y (.f64 (cosh.f64 x) 2)))
(*.f64 2 (/.f64 (/.f64 y (cosh.f64 x)) 2))
(.f64 2 (.f64 (/.f64 1/2 (cosh.f64 x)) y))
(.f64 (.f64 (/.f64 y (cosh.f64 x)) 4) 1/4)
(.f64 (.f64 y 4) (/.f64 1 (*.f64 (cosh.f64 x) 4)))
(*.f64 (/.f64 1 (cosh.f64 x)) y)
(*.f64 (neg.f64 y) (/.f64 -1 (cosh.f64 x)))
(*.f64 (/.f64 y (neg.f64 (cosh.f64 x))) -1)
(*.f64 -1 (/.f64 y (neg.f64 (cosh.f64 x))))
(.f64 (.f64 2 (/.f64 1 (cosh.f64 x))) (/.f64 y 2))
(.f64 1/2 (.f64 y (/.f64 2 (cosh.f64 x))))
(*.f64 (/.f64 1/2 (cosh.f64 x)) (+.f64 y y))
(.f64 (.f64 (/.f64 1 (cosh.f64 x)) 1/2) (+.f64 y y))
(.f64 (/.f64 y (.f64 (cosh.f64 x) 2)) 2)
(.f64 1/4 (.f64 (/.f64 y (cosh.f64 x)) 4))
(.f64 (/.f64 y 2) (.f64 2 (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 (/.f64 y (cosh.f64 x)) 2) 2)
(.f64 (/.f64 1 (.f64 (cosh.f64 x) 4)) (*.f64 y 4))
(*.f64 (/.f64 -1 (cosh.f64 x)) (neg.f64 y))
(pow.f64 (/.f64 y (cosh.f64 x)) 1)
(neg.f64 (/.f64 y (neg.f64 (cosh.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 0)
(+.f64 0 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) (.f64 y (/.f64 2 (cosh.f64 x)))) (/.f64 (sin.f64 y) (.f64 y (/.f64 2 (cosh.f64 x)))))
(-.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 0)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(.f64 1 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 (/.f64 (cosh.f64 x) y) 2))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 (cosh.f64 x) y) 1/2))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) (cosh.f64 x)))
(.f64 (.f64 (cosh.f64 x) 2) (/.f64 (sin.f64 y) (+.f64 y y)))
(.f64 2 (/.f64 (sin.f64 y) (.f64 y (/.f64 2 (cosh.f64 x)))))
(.f64 2 (/.f64 (cosh.f64 x) (.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 2 (/.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2))
(.f64 2 (.f64 (/.f64 (/.f64 (cosh.f64 x) y) 2) (sin.f64 y)))
(.f64 2 (.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (cosh.f64 x)))
(.f64 (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 2 y))) 1/2)
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (cosh.f64 x)) 4)))
(.f64 (.f64 (cosh.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) 4)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (/.f64 y (cosh.f64 x))))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 -1 (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (cosh.f64 x) y) (/.f64 2 (/.f64 2 (sin.f64 y))))
(*.f64 -1 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 (cosh.f64 x)))))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))
(.f64 1/2 (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 (/.f64 (/.f64 (cosh.f64 x) y) 2) (.f64 (sin.f64 y) 2))
(.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (.f64 (cosh.f64 x) 2))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) 1/2) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 2 (/.f64 2 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 (cosh.f64 x)))) -1)
(*.f64 (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 (cosh.f64 x))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))) (/.f64 1 y))
(.f64 (/.f64 (sin.f64 y) (.f64 y (/.f64 2 (cosh.f64 x)))) 2)
(.f64 (/.f64 (cosh.f64 x) (.f64 y (/.f64 2 (sin.f64 y)))) 2)
(.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y (cosh.f64 x)) 4)) (*.f64 (sin.f64 y) 4))
(.f64 (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) 4)) (*.f64 (cosh.f64 x) 4))
(*.f64 (/.f64 -1 (/.f64 y (cosh.f64 x))) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 (cosh.f64 x)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(neg.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 (cosh.f64 x)))))

Outputs
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
y
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y)
(+.f64 y (.f64 -1/2 (.f64 y (pow.f64 x 2))))
(+.f64 y (.f64 (pow.f64 x 2) (.f64 y -1/2)))
(+.f64 y (.f64 y (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) y))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 y (.f64 (+.f64 (.f64 y 1/24) (.f64 y -1/4)) (.f64 (pow.f64 x 4) -1))))
(+.f64 y (+.f64 (.f64 (.f64 y -5/24) (neg.f64 (pow.f64 x 4))) (.f64 -1/2 (.f64 y (pow.f64 x 2)))))
(+.f64 y (+.f64 (.f64 (pow.f64 x 2) (.f64 y -1/2)) (.f64 (pow.f64 x 4) (.f64 y 5/24))))
(+.f64 y (.f64 y (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (neg.f64 (pow.f64 x 4)) -5/24))))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) (+.f64 y (.f64 -1 (.f64 (+.f64 (.f64 -1/48 y) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/24 y) (.f64 -1/4 y))) (*.f64 1/720 y))) (pow.f64 x 6))))))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 y (+.f64 (.f64 (+.f64 (.f64 -1/2 (+.f64 (.f64 y 1/24) (.f64 y -1/4))) (+.f64 (.f64 y 1/720) (.f64 y -1/48))) (.f64 (pow.f64 x 6) -1)) (.f64 (+.f64 (.f64 y 1/24) (.f64 y -1/4)) (*.f64 (pow.f64 x 4) -1)))))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 y (.f64 -1 (+.f64 (.f64 (.f64 y -5/24) (pow.f64 x 4)) (.f64 (+.f64 (.f64 -1/2 (.f64 y -5/24)) (*.f64 y -7/360)) (pow.f64 x 6))))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 y -1/2)) (+.f64 (+.f64 y (.f64 (pow.f64 x 4) (.f64 y 5/24))) (.f64 (+.f64 (.f64 y 5/48) (*.f64 y -7/360)) (neg.f64 (pow.f64 x 6)))))
(+.f64 y (+.f64 (.f64 (.f64 y 61/720) (neg.f64 (pow.f64 x 6))) (.f64 y (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (neg.f64 (pow.f64 x 4)) -5/24)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 2) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 2) -1/12)) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (*.f64 -1/12 (pow.f64 y 2)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 2) -1/12)) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240)) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/240 (pow.f64 y 4))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/10080 (pow.f64 y 6))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (*.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (+.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) y))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) y))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) y))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) y))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) y))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) y))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)) y))
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(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 y) (sin.f64 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 (/.f64 1 y) (sin.f64 y))
0.0ms	y	@	inf	(*.f64 (/.f64 1 y) (sin.f64 y))
0.0ms	y	@	-inf	(*.f64 (/.f64 1 y) (sin.f64 y))

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`rational.json-1`
1542×	`rational.json-2`
1542×	`rational.json-4`
1542×	`rational.json-3`
1524×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	65	11
2	157	11
3	336	11
4	777	11
5	2401	11
6	6249	11

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1360×	`rational.json-simplify-2`
1348×	`rational.json-simplify-35`
1258×	`rational.json-simplify-61`
1192×	`rational.json-simplify-51`
904×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	926
1	577	926
2	1644	926
3	5239	926

Stop Event

1×	node limit

Counts

78 → 73

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (sin.f64 y))
✓	0.2b	(*.f64 (/.f64 1 (sin.f64 y)) y)
✓	0.4b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))

Compiler

Compiled 28 to 14 computations (50% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`rational.json-1`
1832×	`rational.json-2`
1832×	`rational.json-4`
1832×	`rational.json-3`
1014×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	88	32
2	241	32
3	754	32
4	2960	32
5	6638	32

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

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

simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1164×	`rational.json-simplify-35`
1128×	`rational.json-simplify-2`
1038×	`rational.json-simplify-51`
1008×	`rational.json-simplify-1`
794×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	3157
1	618	3085
2	1586	3037
3	3595	2971
4	5897	2971
5	7821	2971

Stop Event

1×	node limit

Counts

127 → 141

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(+.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 0)
(+.f64 0 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(-.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 0)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(.f64 1 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(*.f64 2 (/.f64 (cosh.f64 x) (/.f64 2 (/.f64 (sin.f64 y) y))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 y (/.f64 2 (cosh.f64 x)))))
(.f64 2 (/.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2))
(.f64 2 (.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (cosh.f64 x)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1 (*.f64 y (/.f64 2 (cosh.f64 x)))))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 2 (*.f64 y (/.f64 4 (cosh.f64 x)))))
(.f64 (.f64 (cosh.f64 x) 2) (/.f64 (sin.f64 y) (+.f64 y y)))
(.f64 (.f64 (cosh.f64 x) 2) (*.f64 (/.f64 (sin.f64 y) y) 1/2))
(.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 1 y))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1/2 (sin.f64 y))) 1/2)
(.f64 (.f64 (cosh.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) 4)))
(.f64 (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) 2)) (/.f64 1 (+.f64 y y)))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y (/.f64 4 (cosh.f64 x)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 -1 (/.f64 y (sin.f64 y))))
(.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (.f64 y (neg.f64 (/.f64 1 (sin.f64 y))))))
(.f64 (.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (/.f64 -1 y))
(*.f64 -1 (/.f64 (cosh.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))))
(.f64 -1 (/.f64 (cosh.f64 x) (.f64 y (neg.f64 (/.f64 1 (sin.f64 y))))))
(.f64 -1 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (neg.f64 y)))
(.f64 (.f64 (cosh.f64 x) (/.f64 2 y)) (/.f64 (sin.f64 y) 2))
(.f64 (/.f64 1 y) (.f64 (cosh.f64 x) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 (cosh.f64 x) 1/2))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 1/2 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1/2 (sin.f64 y))))
(.f64 (/.f64 (sin.f64 y) 2) (.f64 (cosh.f64 x) (/.f64 2 y)))
(.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (.f64 (cosh.f64 x) 2))
(.f64 (.f64 (cosh.f64 x) 1/2) (*.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (*.f64 (cosh.f64 x) 2))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))) -1)
(.f64 (/.f64 (cosh.f64 x) (.f64 y (neg.f64 (/.f64 1 (sin.f64 y))))) -1)
(.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)) -1)
(.f64 (/.f64 1 (+.f64 y y)) (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 2 (/.f64 (sin.f64 y) y))) 2)
(.f64 (/.f64 1 (.f64 y (/.f64 2 (cosh.f64 x)))) (*.f64 (sin.f64 y) 2))
(.f64 (/.f64 (sin.f64 y) (.f64 y (/.f64 2 (cosh.f64 x)))) 2)
(.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 y (sin.f64 y)) 4)) (*.f64 (cosh.f64 x) 4))
(.f64 (/.f64 1 (.f64 y (/.f64 4 (cosh.f64 x)))) (*.f64 (sin.f64 y) 4))
(.f64 (/.f64 2 (.f64 y (/.f64 4 (cosh.f64 x)))) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 y))) (neg.f64 (cosh.f64 x)))
(.f64 (/.f64 1 (.f64 y (neg.f64 (/.f64 1 (sin.f64 y))))) (neg.f64 (cosh.f64 x)))
(.f64 (/.f64 -1 y) (.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))))
(*.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 (sin.f64 y) (+.f64 y y))) (cosh.f64 x))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(neg.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 (cosh.f64 x)))))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))))
(neg.f64 (/.f64 (cosh.f64 x) (*.f64 y (neg.f64 (/.f64 1 (sin.f64 y))))))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(+.f64 0 (/.f64 y (sin.f64 y)))
(-.f64 (/.f64 y (sin.f64 y)) 0)
(-.f64 0 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 y))
(/.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 2 (*.f64 (sin.f64 y) (/.f64 2 y)))
(/.f64 (/.f64 2 (/.f64 (sin.f64 y) y)) 2)
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) 4) 4)
(/.f64 (+.f64 y y) (*.f64 (sin.f64 y) 2))
(/.f64 4 (.f64 2 (.f64 (sin.f64 y) (/.f64 2 y))))
(/.f64 4 (/.f64 (*.f64 (sin.f64 y) 4) y))
(/.f64 (*.f64 (/.f64 1 (sin.f64 y)) 2) (/.f64 2 y))
(/.f64 (neg.f64 (/.f64 y (sin.f64 y))) -1)
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 1 (sin.f64 y))) (/.f64 -1 y))
(/.f64 (neg.f64 (/.f64 1 (sin.f64 y))) (neg.f64 (/.f64 1 y)))
(/.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 -1 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 -2 (neg.f64 (*.f64 (sin.f64 y) (/.f64 2 y))))
(/.f64 (*.f64 (/.f64 2 (/.f64 (sin.f64 y) y)) 4) 8)
(/.f64 (.f64 y 4) (.f64 (sin.f64 y) 4))
(/.f64 (.f64 2 (neg.f64 y)) (.f64 2 (neg.f64 (sin.f64 y))))
(/.f64 (/.f64 y (*.f64 (sin.f64 y) 2)) 1/2)
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (*.f64 (sin.f64 y) 2)))
(/.f64 (neg.f64 (.f64 y 4)) (neg.f64 (.f64 (sin.f64 y) 4)))
(/.f64 (neg.f64 (neg.f64 (+.f64 y y))) (*.f64 (sin.f64 y) 2))
(/.f64 (neg.f64 (neg.f64 (+.f64 y y))) (-.f64 0 (neg.f64 (*.f64 (sin.f64 y) 2))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 y))) (-.f64 0 (.f64 2 (neg.f64 (sin.f64 y)))))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(neg.f64 (neg.f64 (/.f64 y (sin.f64 y))))

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 2) y) 1/2)))
(.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 2) y) 1/2)) (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 4) y) 1/24))))
(+.f64 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))) (.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/720 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 6) y))) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 4) y) 1/24)) (+.f64 (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 2) y) 1/2)) (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 6) y) 1/720)))))
(+.f64 (+.f64 (.f64 (sin.f64 y) (.f64 1/2 (/.f64 (pow.f64 x 2) y))) (.f64 (sin.f64 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))) (.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/720 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 2))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 2))) (+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (*.f64 -1/12 (pow.f64 y 2)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240)) (+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/10080 (pow.f64 y 6)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4))))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 y y))) (*.f64 (sin.f64 y) 2))
(/.f64 y (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (+.f64 y y))) (-.f64 0 (neg.f64 (*.f64 (sin.f64 y) 2))))
(/.f64 y (sin.f64 y))
(/.f64 (neg.f64 (.f64 2 (neg.f64 y))) (-.f64 0 (.f64 2 (neg.f64 (sin.f64 y)))))
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(neg.f64 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (neg.f64 (sin.f64 y)))
✓	0.1b	(/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y))
✓	0.2b	(/.f64 (/.f64 1 y) (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y)))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y))))

Compiler

Compiled 57 to 18 computations (68.4% saved)

series2.0ms (0%)

Counts

4 → 60

Calls

15 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`exponential.json-3`
1356×	`rational.json-1`
1356×	`rational.json-2`
1356×	`rational.json-4`
1356×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	124
1	133	112
2	453	58
3	2194	58
4	5273	58

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

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

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1244×	`rational.json-simplify-51`
926×	`rational.json-simplify-35`
800×	`rational.json-simplify-44`
726×	`rational.json-simplify-46`
692×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	3604
1	576	3520
2	1473	3432
3	5428	3346

Stop Event

1×	node limit

Counts

154 → 182

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.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 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
-1
(-.f64 (*.f64 -1/6 (pow.f64 y 2)) 1)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 y 4)) (.f64 -1/6 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 y 4)) (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (*.f64 -1/6 (pow.f64 y 2)))) 1)
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(+.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 0)
(+.f64 0 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(-.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 0)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(/.f64 2 (*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(/.f64 (.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 2 y))) 2)
(/.f64 (.f64 (cosh.f64 x) 2) (.f64 2 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (cosh.f64 x) 4) (.f64 (/.f64 1 (sin.f64 y)) (*.f64 y 4)))
(/.f64 (.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 4) 4)
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 2 (.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 4)) 8)
(/.f64 (.f64 2 (/.f64 (cosh.f64 x) y)) (.f64 (/.f64 1 (sin.f64 y)) 2))
(/.f64 (.f64 2 (.f64 (cosh.f64 x) (sin.f64 y))) (+.f64 y y))
(/.f64 (.f64 2 (neg.f64 (cosh.f64 x))) (.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 2))
(/.f64 (neg.f64 (.f64 (cosh.f64 x) 2)) (neg.f64 (.f64 2 (/.f64 y (sin.f64 y)))))
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) (/.f64 -1 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (/.f64 y (sin.f64 y)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))))
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))) -1)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 y (/.f64 -1 (.f64 y (/.f64 (neg.f64 y) (sin.f64 y)))))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 (.f64 y y))))
(.f64 (neg.f64 y) (/.f64 (sin.f64 y) (neg.f64 (.f64 y y))))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 2 y) (/.f64 (sin.f64 y) 2))
(.f64 (.f64 y -2) (/.f64 1 (.f64 (.f64 y -2) (/.f64 y (sin.f64 y)))))
(.f64 (.f64 y (sin.f64 y)) (/.f64 1 (*.f64 y y)))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) (neg.f64 (.f64 y y))) (neg.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(.f64 (/.f64 -1 (.f64 y (/.f64 (neg.f64 y) (sin.f64 y)))) y)
(*.f64 (/.f64 (sin.f64 y) 2) (/.f64 2 y))
(.f64 (/.f64 1 (.f64 (.f64 y -2) (/.f64 y (sin.f64 y)))) (.f64 y -2))
(.f64 (/.f64 1 (.f64 y y)) (*.f64 y (sin.f64 y)))
(.f64 (/.f64 y (neg.f64 (.f64 y y))) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(+.f64 (/.f64 1 (sin.f64 y)) 0)
(+.f64 0 (/.f64 1 (sin.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 -1 (sin.f64 y))))
(+.f64 (-.f64 1 (/.f64 -1 (sin.f64 y))) -1)
(-.f64 (/.f64 1 (sin.f64 y)) 0)
(-.f64 0 (/.f64 -1 (sin.f64 y)))
(*.f64 1 (/.f64 1 (sin.f64 y)))
(.f64 y (/.f64 1 (.f64 y (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 -1 y))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(.f64 (.f64 (/.f64 1 (sin.f64 y)) 2) 1/2)
(.f64 (+.f64 y y) (/.f64 1 (.f64 y (*.f64 (sin.f64 y) 2))))
(.f64 (.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 2) (/.f64 (/.f64 -1 y) 2))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(*.f64 (/.f64 -1 y) (/.f64 (neg.f64 y) (sin.f64 y)))
(.f64 (/.f64 1 (.f64 y (sin.f64 y))) y)
(.f64 1/2 (.f64 (/.f64 1 (sin.f64 y)) 2))
(.f64 (/.f64 1 (.f64 y (*.f64 (sin.f64 y) 2))) (+.f64 y y))
(.f64 (/.f64 (/.f64 -1 y) 2) (.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 2))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(neg.f64 (/.f64 -1 (sin.f64 y)))
(+.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 0)
(+.f64 0 (/.f64 (neg.f64 y) (sin.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 y (sin.f64 y))))
(+.f64 (-.f64 1 (/.f64 y (sin.f64 y))) -1)
(-.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 0)
(-.f64 0 (/.f64 y (sin.f64 y)))
(*.f64 1 (/.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 y (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 1)
(*.f64 (neg.f64 y) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(.f64 (+.f64 y y) (/.f64 1 (.f64 (sin.f64 y) -2)))
(.f64 (.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 2) 1/2)
(*.f64 (/.f64 y (sin.f64 y)) -1)
(*.f64 (/.f64 -1 (sin.f64 y)) y)
(.f64 1/2 (.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 2))
(.f64 (/.f64 1 (.f64 (sin.f64 y) -2)) (+.f64 y y))
(pow.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 1)
(neg.f64 (/.f64 y (sin.f64 y)))

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 2) 1/2)))
(.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 2) 1/2)) (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 4) y) 1/24))))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/2 (pow.f64 x 2)))) (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 4) y) 1/24)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(+.f64 (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))) (+.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 2) y))) (.f64 (pow.f64 x 6) (.f64 (/.f64 (sin.f64 y) y) 1/720))) (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 4) y) 1/24)) (+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 2) 1/2)) (.f64 (/.f64 (sin.f64 y) y) (.f64 (pow.f64 x 6) 1/720)))))
(+.f64 (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 2) y) 1/2)) (+.f64 (.f64 (sin.f64 y) (.f64 (/.f64 (pow.f64 x 4) y) 1/24)) (.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 (pow.f64 x 6) 1/720)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 2))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 2))) (+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (*.f64 -1/12 (pow.f64 y 2)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240)) (+.f64 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 1/240 (pow.f64 y 4)))) (.f64 (pow.f64 y 6) (.f64 -1/10080 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (pow.f64 y 2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4))))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 -1/10080 (pow.f64 y 6))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (.f64 -1/12 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 (pow.f64 y 2) -1/6))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 y 2) -1/6) (.f64 (pow.f64 y 4) 1/120)))
(+.f64 (.f64 (pow.f64 y 2) -1/6) (+.f64 1 (.f64 (pow.f64 y 4) 1/120)))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
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(/.f64 (neg.f64 y) (sin.f64 y))
(*.f64 (neg.f64 y) (/.f64 1 (sin.f64 y)))
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y))
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))
(*.f64 -1 (/.f64 y (sin.f64 y)))
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))
(.f64 (+.f64 y y) (/.f64 1 (.f64 (sin.f64 y) -2)))
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))
(.f64 (.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 2) 1/2)
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) -1)
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))
(*.f64 (/.f64 -1 (sin.f64 y)) y)
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))
(.f64 1/2 (.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 2))
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))
(.f64 (/.f64 1 (.f64 (sin.f64 y) -2)) (+.f64 y y))
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))
(pow.f64 (/.f64 (neg.f64 y) (sin.f64 y)) 1)
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))
(neg.f64 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 (neg.f64 y)))
(/.f64 (neg.f64 y) (sin.f64 y))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 y (sin.f64 y))
	0.1b	(/.f64 y (/.f64 y (sin.f64 y)))
	0.2b	(/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))
	0.3b	(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))

Compiler

Compiled 47 to 12 computations (74.5% saved)

eval208.0ms (1%)

Compiler: Compiled 13848 to 6763 computations (51.2% saved)

prune159.0ms (0.8%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	877	11	888
Fresh	7	1	8
Picked	1	0	1
Done	2	6	8
Total	887	18	905

Error

0.2b

Counts

905 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)) y)
	1.1b	(/.f64 (/.f64 2 y) (/.f64 2 (sin.f64 y)))
	14.8b	(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))
	1.1b	(/.f64 (/.f64 1 y) (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y)))
✓	0.4b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
✓	1.0b	(/.f64 (sin.f64 y) y)
✓	0.5b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	14.6b	(/.f64 y (*.f64 y (/.f64 y (sin.f64 y))))
	1.0b	(/.f64 1 (/.f64 y (sin.f64 y)))
	14.9b	(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) y))
	1.2b	(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
	34.0b	(*.f64 (/.f64 1 (sin.f64 y)) y)
✓	1.2b	(*.f64 (/.f64 1 y) (sin.f64 y))
✓	0.6b	(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
	14.8b	(.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (.f64 y (/.f64 (/.f64 1 y) (sin.f64 y)))))
	28.7b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (.f64 y y)) (.f64 y (sin.f64 y))))
✓	33.5b	(*.f64 (cosh.f64 x) 1)
	33.9b	1

Compiler

Compiled 197 to 133 computations (32.5% saved)

regimes93.0ms (0.4%)

Counts

47 → 1

Calls

Call 1

Inputs
1
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 y (*.f64 y (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 2 y) (/.f64 2 (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))) y)
(.f64 (cosh.f64 x) (/.f64 y (.f64 y (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 (cosh.f64 x) 1/2) (*.f64 y (/.f64 2 (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (pow.f64 x 2) 2))
(.f64 (cosh.f64 x) (.f64 (/.f64 1 (.f64 y y)) (.f64 y (sin.f64 y))))
(.f64 (cosh.f64 x) (/.f64 (.f64 y -2) (.f64 (/.f64 y (sin.f64 y)) (.f64 y -2))))
(.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (.f64 y (/.f64 (/.f64 1 y) (sin.f64 y)))))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) y))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) (*.f64 (sin.f64 y) (sin.f64 y)))
(.f64 (cosh.f64 x) (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y)))))
(.f64 (cosh.f64 x) (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (*.f64 y (/.f64 (sin.f64 y) y))))
(.f64 (cosh.f64 x) (.f64 4 (/.f64 (/.f64 1/2 (/.f64 y (.f64 (sin.f64 y) (sin.f64 y)))) (.f64 2 (sin.f64 y)))))
(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (cosh.f64 x) (/.f64 2 y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (pow.f64 x 2) 2)) (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2))) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/720 (*.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) 1)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))

Outputs

(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (*.f64 1/720 (*.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))

Calls

5 calls:

22.0ms	x
20.0ms	y
19.0ms	(/.f64 (sin.f64 y) y)
17.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
0.4b	1	`(cosh.f64 x)`
0.4b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 671 to 286 computations (57.4% saved)

regimes95.0ms (0.4%)

Counts

46 → 1

Calls

Call 1

Inputs
1
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 y (*.f64 y (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 2 y) (/.f64 2 (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))) y)
(.f64 (cosh.f64 x) (/.f64 y (.f64 y (/.f64 y (sin.f64 y)))))
(/.f64 (/.f64 (cosh.f64 x) 1/2) (*.f64 y (/.f64 2 (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (pow.f64 x 2) 2))
(.f64 (cosh.f64 x) (.f64 (/.f64 1 (.f64 y y)) (.f64 y (sin.f64 y))))
(.f64 (cosh.f64 x) (/.f64 (.f64 y -2) (.f64 (/.f64 y (sin.f64 y)) (.f64 y -2))))
(.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (.f64 y (/.f64 (/.f64 1 y) (sin.f64 y)))))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) 2) y))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))
(.f64 (sin.f64 y) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (sin.f64 y) (sin.f64 y))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) (*.f64 (sin.f64 y) (sin.f64 y)))
(.f64 (cosh.f64 x) (.f64 (/.f64 y (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 y (/.f64 (sin.f64 y) y)))))
(.f64 (cosh.f64 x) (/.f64 (.f64 (sin.f64 y) (/.f64 (sin.f64 y) y)) (*.f64 y (/.f64 (sin.f64 y) y))))
(.f64 (cosh.f64 x) (.f64 4 (/.f64 (/.f64 1/2 (/.f64 y (.f64 (sin.f64 y) (sin.f64 y)))) (.f64 2 (sin.f64 y)))))
(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sin.f64 y)) (/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 2 (sin.f64 y)) (/.f64 (cosh.f64 x) (/.f64 2 y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2))) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (pow.f64 x 2) 2)) (.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (pow.f64 x 2))) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/720 (*.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) 1)))))

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

Calls

5 calls:

21.0ms	x
21.0ms	y
18.0ms	(/.f64 (sin.f64 y) y)
17.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
6.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
0.4b	1	`(cosh.f64 x)`
0.4b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 634 to 268 computations (57.7% saved)

regimes23.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
1
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 y (*.f64 y (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 2 y) (/.f64 2 (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 y (neg.f64 (sin.f64 y))) (neg.f64 y)))

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

Calls

4 calls:

7.0ms	y
6.0ms	x
5.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`y`
1.0b	1	`(cosh.f64 x)`
1.0b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 81 to 47 computations (42% saved)

regimes8.0ms (0%)

Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(*.f64 (cosh.f64 x) 1)

Outputs
(*.f64 (cosh.f64 x) 1)

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
33.5b	1	`x`
33.5b	1	`y`
33.5b	1	`(cosh.f64 x)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
1

Outputs
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 (sin.f64 y) y))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y))) (.f64 1/720 (.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
1

Compiler

Compiled 63 to 40 computations (36.5% saved)

soundness97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1740×	`rational.json-simplify-35`
1050×	`rational.json-simplify-51`
840×	`rational.json-simplify-61`
754×	`rational.json-simplify-49`
746×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	6199
1	1689	5977
2	5891	5885

Stop Event

1×	node limit

Compiler

Compiled 150 to 82 computations (45.3% saved)

end36.0ms (0.2%)

Compiler: Compiled 55 to 27 computations (50.9% saved)

Details

analyze140.0ms (0.7%)

sample5.7s (26.9%)

preprocess770.0ms (3.7%)

simplify103.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0%)

series92.0ms (0.4%)

rewrite93.0ms (0.4%)

simplify190.0ms (0.9%)

eval194.0ms (0.9%)

prune271.0ms (1.3%)

localize136.0ms (0.6%)

series8.0ms (0%)

rewrite235.0ms (1.1%)

simplify239.0ms (1.1%)

localize4.0ms (0%)

localize9.0ms (0%)

series4.0ms (0%)

rewrite89.0ms (0.4%)

simplify209.0ms (1%)

localize19.0ms (0.1%)

series3.0ms (0%)

rewrite416.0ms (2%)

simplify116.0ms (0.6%)

localize16.0ms (0.1%)

series3.0ms (0%)

rewrite184.0ms (0.9%)

simplify232.0ms (1.1%)

eval3.4s (16.4%)

prune356.0ms (1.7%)

localize32.0ms (0.2%)

series4.0ms (0%)

rewrite89.0ms (0.4%)

simplify102.0ms (0.5%)

localize5.0ms (0%)

localize11.0ms (0.1%)

series4.0ms (0%)

rewrite79.0ms (0.4%)

simplify109.0ms (0.5%)

localize17.0ms (0.1%)

series7.0ms (0%)

rewrite186.0ms (0.9%)

simplify1.2s (5.6%)

localize20.0ms (0.1%)

series2.0ms (0%)

rewrite90.0ms (0.4%)

simplify203.0ms (1%)

eval3.6s (17.2%)

prune463.0ms (2.2%)

localize10.0ms (0%)

series10.0ms (0%)

rewrite86.0ms (0.4%)

simplify113.0ms (0.5%)

localize8.0ms (0%)

series0.0ms (0%)

rewrite87.0ms (0.4%)

simplify73.0ms (0.3%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite93.0ms (0.4%)

simplify154.0ms (0.7%)

localize19.0ms (0.1%)

series2.0ms (0%)

rewrite83.0ms (0.4%)

simplify96.0ms (0.5%)

localize14.0ms (0.1%)

eval208.0ms (1%)

prune159.0ms (0.8%)

regimes93.0ms (0.4%)

regimes95.0ms (0.4%)

regimes23.0ms (0.1%)

regimes8.0ms (0%)

simplify4.0ms (0%)

soundness97.0ms (0.5%)

end36.0ms (0.2%)

Profiling