Details

analyze170.0ms (1.6%)

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)

sample4.2s (39.4%)

Results

1.2s	2070×	body	1024	valid
1.1s	5150×	body	256	valid
1.0s	2012×	body	1024	infinite
422.0ms	1417×	body	256	infinite
267.0ms	979×	body	512	infinite
241.0ms	1033×	body	512	valid
3.0ms	3×	body	2048	valid

Bogosity

preprocess67.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1552×	`unswap-sqr`
1128×	`fma-def`
908×	`associate-+l+`
854×	`associate-/r/`
834×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	59	42
3	115	42
4	215	42
5	362	42
6	835	42
7	2508	42
8	4604	42
9	6032	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))
(*.f64 (sin.f64 x) (/.f64 (cosh.f64 y) x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1620×	`unswap-sqr`
1380×	`fma-def`
812×	`associate-/l*`
684×	`associate-/r*`
674×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	34	21
3	63	21
4	116	21
5	193	21
6	433	21
7	1240	21
8	3011	21
9	3306	21
10	3701	21
11	5569	21
12	6658	21
13	7939	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

0.16%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.16%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.17%	(/.f64 (sin.f64 y) y)

Compiler

Compiled 19 to 6 computations (68.4% saved)

series9.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`associate-*r/`
950×	`*-commutative`
858×	`associate-*l/`
810×	`associate-/r*`
700×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	187	32
2	2470	32

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (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 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))) (#(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 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)))) (#(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 y) (.f64 (cosh.f64 x) 2)))))) (#(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 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (.f64 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 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Outputs

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simplify159.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1078×	`distribute-lft-in`
1076×	`associate-/l*`
1072×	`distribute-rgt-in`
706×	`associate-/l/`
562×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	495	6305
1	1290	6183
2	6009	6183

Stop Event

1×	node limit

Counts

205 → 268

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.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 (/.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 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) 1))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 1))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 -1 y)))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (sin.f64 y) (/.f64 (+.f64 y y) (*.f64 (cosh.f64 x) 2)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (cosh.f64 x)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
(/.f64 1 (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (.f64 (cosh.f64 x) 2)))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (*.f64 (sin.f64 y) (sqrt.f64 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (cosh.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (*.f64 (sin.f64 y) (cbrt.f64 (cosh.f64 x)))))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 y 1))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) (cosh.f64 x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (.f64 (neg.f64 y) 2) (.f64 (cosh.f64 x) 2)))
(/.f64 (.f64 (cosh.f64 x) 2) (.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (*.f64 (cosh.f64 x) 2) (/.f64 (/.f64 y (sin.f64 y)) 1/2))
(/.f64 (.f64 (cosh.f64 x) 2) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) 1))
(/.f64 2 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (cosh.f64 x)))
(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (/.f64 y (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (cosh.f64 x) 2)) (cbrt.f64 (.f64 (cosh.f64 x) 2))) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (cbrt.f64 (*.f64 (cosh.f64 x) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) (/.f64 y (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(/.f64 (/.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) 2)) y) 2)
(/.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) 2)) (+.f64 y y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))) (/.f64 y (.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (sin.f64 y)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 (cosh.f64 x) 2)) (*.f64 (neg.f64 y) 2))
(/.f64 (.f64 -2 (cosh.f64 x)) (.f64 (/.f64 y (sin.f64 y)) -2))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 -2 (cosh.f64 x))) -2)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) 1)) y)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (cosh.f64 x) -1) (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (.f64 1 (/.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)) y)) 2)
(/.f64 (.f64 1 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2))) (+.f64 y y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)))) (cbrt.f64 y))
(/.f64 (.f64 1 (.f64 (neg.f64 (sin.f64 y)) (.f64 (cosh.f64 x) 2))) (.f64 (neg.f64 y) 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) (sqrt.f64 y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (*.f64 (cosh.f64 x) 2))) (cbrt.f64 2))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) 1) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (neg.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) 1) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (neg.f64 (sin.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sin.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (sin.f64 y)) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (cosh.f64 x)) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cosh.f64 x)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cosh.f64 x)) (cbrt.f64 y))
(/.f64 (*.f64 -1 (cosh.f64 x)) (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (.f64 (.f64 -2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) -2)
(/.f64 (.f64 (/.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)) y) 1) 2)
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) 1) (neg.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)) 1) (+.f64 y y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) 1) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 (cosh.f64 x) 2)) 1) (.f64 (neg.f64 y) 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)) (/.f64 1 y)) 2)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (sqrt.f64 (sin.f64 y)))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) -1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (cosh.f64 x)))
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 (.f64 -1/6 y) y)))
(+.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)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 (.f64 -1/6 y) y)) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(/.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.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) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 1/24 (/.f64 y (*.f64 (sin.f64 y) (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) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (.f64 1/720 (*.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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
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(.f64 (/.f64 (.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (cosh.f64 x) (sqrt.f64 y))) (sqrt.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (sin.f64 y))) (cbrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))
(.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) 1) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) -1) y)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) 1) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (sqrt.f64 y))) (.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 (cbrt.f64 y))) (/.f64 (cosh.f64 x) (fabs.f64 (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) (sin.f64 y))
(.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) 1) (cbrt.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y))) (/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 (sqrt.f64 y)) (.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)) (cbrt.f64 (sqrt.f64 y)))))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(fabs.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

eval57.0ms (0.5%)

Compiler: Compiled 4183 to 1439 computations (65.6% saved)

prune78.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	256	12	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	12	269

Error

Counts

269 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.21%	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
	56.88%	(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
	56.61%	(/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 y))
▶	56.63%	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
	1.11%	(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cosh.f64 x)) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
	51.6%	(/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
	1.36%	(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
	2.06%	(/.f64 (sin.f64 y) y)
▶	0.2%	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	0.42%	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
▶	51.57%	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y))))
▶	49.21%	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 304 to 202 computations (33.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.15%	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓	0.18%	(/.f64 y (sin.f64 y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`associate-*r/`
1550×	`associate-/l*`
1118×	`associate-*l/`
1022×	`*-commutative`
500×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	193	32
2	2704	32

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs
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Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(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 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (sin.f64 y)))))) (#(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 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 y) (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 y) (sin.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (/.f64 1 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) 1) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)))) (#(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 y (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (#(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 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) 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 (/.f64 (sin.f64 y) y) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cosh.f64 x)) (*.f64 -1 (/.f64 (sin.f64 y) y)))))) (#(struct:change 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y))))) (#(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 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (*.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (sin.f64 y) y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))))) (#(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 *.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 (sin.f64 y) y)) (neg.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (sin.f64 y)) (/.f64 (sqrt.f64 (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 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(cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (sin.f64 y))) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) -1) (neg.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (/.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cosh.f64 x) y) -1) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (cosh.f64 x)) -1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (neg.f64 y))) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 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simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

906×	`distribute-rgt-in`
900×	`distribute-lft-in`
688×	`distribute-lft-neg-out`
604×	`distribute-rgt-neg-out`
452×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	4149
1	849	4063
2	3741	3987

Stop Event

1×	node limit

Counts

151 → 182

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
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(.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)))
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(.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))
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(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(.f64 1 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (cosh.f64 x) y)))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.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 (sin.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (neg.f64 y)))
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (cosh.f64 x) y)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) (sqrt.f64 (cosh.f64 x)))
(.f64 (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 (cosh.f64 x)) 1))
(.f64 (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(.f64 (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1))
(.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) (cosh.f64 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(.f64 (.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (sin.f64 y) y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(.f64 (.f64 -1 (/.f64 (sin.f64 y) y)) (neg.f64 (cosh.f64 x)))
(.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (sin.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (sin.f64 y)) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) 1) (sin.f64 y)))
(.f64 (.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) 1) (sin.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (sin.f64 y))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (cosh.f64 x) -1) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (/.f64 (sin.f64 y) 1))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) -1) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) -1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (neg.f64 y))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 7/360 (pow.f64 y 4)))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4)))))
(/.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 (sin.f64 y) (*.f64 x x))) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.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) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
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(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (cosh.f64 x) -1) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
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(*.f64 (/.f64 (cosh.f64 x) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
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(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (/.f64 (sin.f64 y) 1))
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(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) -1) (/.f64 (sin.f64 y) y))
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(.f64 (/.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 (sin.f64 y)))))
(.f64 (.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (cosh.f64 x) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 (cosh.f64 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
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(.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 (neg.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (neg.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (neg.f64 (sin.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
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(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(fabs.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(fabs.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

localize4.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (cosh.f64 x) y)
✓	0.42%	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite111.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`associate-*r/`
946×	`*-commutative`
840×	`associate-/r*`
798×	`associate-*l/`
692×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	187	32
2	2460	32

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sqrt.f64 (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (cbrt.f64 (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cosh.f64 x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) y) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (/.f64 (cosh.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))) (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cosh.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) 1/3)))) (#(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 (cosh.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cosh.f64 x) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (cosh.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))))))

simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1168×	`associate-/l*`
804×	`distribute-rgt-in`
804×	`distribute-lft-in`
588×	`associate-/l/`
436×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	6438
1	1164	6320
2	5019	6244

Stop Event

1×	node limit

Counts

214 → 255

Calls

Call 1

Inputs
(*.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 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 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(/.f64 1 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (cosh.f64 x)) (sqrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (*.f64 (cosh.f64 x) (sqrt.f64 (sin.f64 y)))))
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (cosh.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (/.f64 y (cosh.f64 x)) (cbrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (*.f64 (cosh.f64 x) (cbrt.f64 (sin.f64 y)))))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 y 1))
(/.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (/.f64 y (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) (/.f64 y (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x)))) (sqrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (cosh.f64 x))) (/.f64 y (sqrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 y (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (cosh.f64 x)))
(/.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) 2)) (+.f64 y y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (cosh.f64 x))) (/.f64 y (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (cosh.f64 x)))))
(/.f64 (/.f64 (sin.f64 y) 1) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (cosh.f64 x)))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (cosh.f64 x)))
(/.f64 (.f64 (sin.f64 y) (/.f64 (.f64 (cosh.f64 x) 2) y)) 2)
(/.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (sin.f64 y) -1) (/.f64 (neg.f64 y) (cosh.f64 x)))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) (sqrt.f64 y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) -1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) (sqrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x)))) (sqrt.f64 (neg.f64 (cosh.f64 x)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) 1) (cbrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (neg.f64 (cosh.f64 x)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (cosh.f64 x)) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) 1) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (sqrt.f64 (cosh.f64 x))) (/.f64 y (sqrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 y (cbrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(/.f64 (.f64 (/.f64 (sin.f64 y) 1) (.f64 (cosh.f64 x) 2)) (+.f64 y y))
(/.f64 (.f64 (/.f64 (sin.f64 y) 1) (/.f64 (.f64 (cosh.f64 x) 2) y)) 2)
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) -1) (/.f64 (neg.f64 y) (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cosh.f64 x)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cosh.f64 x)) (cbrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) y)) (/.f64 1 (cosh.f64 x)))
(/.f64 (.f64 (.f64 (cosh.f64 x) 2) (/.f64 (sin.f64 y) y)) 2)
(/.f64 (.f64 (.f64 -2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) -2)
(/.f64 (.f64 (/.f64 (.f64 (cosh.f64 x) 2) y) (sin.f64 y)) 2)
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sin.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (sin.f64 y)) (cbrt.f64 y))
(/.f64 (*.f64 -1 (sin.f64 y)) (/.f64 (neg.f64 y) (cosh.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) 1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) 1) (cbrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x))))) (sqrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x))))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (cosh.f64 x))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x))))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (sqrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)) (/.f64 1 y)) 2)
(/.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) (cbrt.f64 (/.f64 y (cosh.f64 x))))) (cbrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 (cosh.f64 x) 2))) 2)
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 y (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 y (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (cosh.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) -1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (sin.f64 y)))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (neg.f64 y))))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) y))) 1)
(*.f64 (cosh.f64 x) (/.f64 1 y))
(*.f64 (/.f64 (cosh.f64 x) y) 1)
(*.f64 1 (/.f64 (cosh.f64 x) y))
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 1 y) (cosh.f64 x))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 -1 y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (sqrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) 1))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) y) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 -1 y) (neg.f64 (cosh.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (/.f64 (cosh.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))) (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))))
(pow.f64 (/.f64 (cosh.f64 x) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) 1/3)
(pow.f64 (/.f64 y (cosh.f64 x)) -1)
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) y))
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) 1))
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 -1 y)))
(neg.f64 (*.f64 1 (/.f64 (cosh.f64 x) (neg.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))

Outputs
(*.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))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 (*.f64 y y) -1/12)))
(+.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)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.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))))
(fma.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 (pow.f64 y 4) 1/240))))
(+.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))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.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 1/2 (.f64 (pow.f64 y 6) -1/10080))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (.f64 y y) -1/12) (.f64 (pow.f64 y 4) 1/240))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.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 y (sin.f64 y))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.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 y (sin.f64 y))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.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 y (sin.f64 y))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
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(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (sin.f64 y)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (neg.f64 y))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) (neg.f64 y))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 y)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))
(fabs.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) y))) 1)
(/.f64 (cosh.f64 x) y)
(*.f64 (cosh.f64 x) (/.f64 1 y))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (cosh.f64 x) y) 1)
(/.f64 (cosh.f64 x) y)
(*.f64 1 (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) y)
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(/.f64 (cosh.f64 x) y)
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(/.f64 (cosh.f64 x) y)
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 1 y) (cosh.f64 x))
(/.f64 (cosh.f64 x) y)
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 -1 y))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (sqrt.f64 (cosh.f64 x)))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) 1))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) y) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (cosh.f64 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (cosh.f64 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 -1 y) (neg.f64 (cosh.f64 x)))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (cosh.f64 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (cosh.f64 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (cbrt.f64 (cosh.f64 x)))
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))
(/.f64 (cosh.f64 x) y)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (/.f64 (cosh.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(/.f64 (cosh.f64 x) y)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))) (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))))
(/.f64 (cosh.f64 x) y)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))))
(pow.f64 (/.f64 (cosh.f64 x) y) 1)
(/.f64 (cosh.f64 x) y)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)
(/.f64 (cosh.f64 x) y)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
(/.f64 (cosh.f64 x) y)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) 1/3)
(/.f64 (cosh.f64 x) y)
(pow.f64 (/.f64 y (cosh.f64 x)) -1)
(/.f64 (cosh.f64 x) y)
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))
(/.f64 (cosh.f64 x) y)
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) y))
(/.f64 (cosh.f64 x) y)
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) 1))
(/.f64 (cosh.f64 x) y)
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 -1 y)))
(/.f64 (cosh.f64 x) y)
(neg.f64 (*.f64 1 (/.f64 (cosh.f64 x) (neg.f64 y))))
(/.f64 (cosh.f64 x) y)
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))
(fabs.f64 (/.f64 (cosh.f64 x) y))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) y))))
(/.f64 (cosh.f64 x) y)
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))
(/.f64 (cosh.f64 x) y)
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.14%	(/.f64 (cosh.f64 x) (sqrt.f64 y))
✓	0.18%	(/.f64 (sqrt.f64 y) (sin.f64 y))
✓	0.19%	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

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

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`associate-/r/`
1286×	`associate-/l/`
524×	`distribute-lft-neg-in`
468×	`distribute-rgt-neg-in`
252×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	239	51
2	3483	51

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.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 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 2) y)) (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (/.f64 (sin.f64 y) (sqrt.f64 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 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y))) (/.f64 (sin.f64 y) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cosh.f64 x) 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y) (sin.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (neg.f64 (/.f64 -1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cosh.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 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pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))))))

simplify154.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1678×	`distribute-lft-in`
732×	`times-frac`
730×	`*-commutative`
710×	`associate-l`
708×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	512	7172
1	1385	6922
2	6841	6922

Stop Event

1×	node limit

Counts

232 → 272

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)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(sqrt.f64 (/.f64 1 y))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 y)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 4))) (+.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/720 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 6))))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)
(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(.f64 1 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 2) y)) (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 y 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)) (cbrt.f64 (cosh.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y))))) (sqrt.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y)))) (cbrt.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y)))))) (cbrt.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))) (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 2) y)))) (cbrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(pow.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)) -1)
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y))))
(neg.f64 (/.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y))) 1))
(sqrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 2) y))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (sqrt.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.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) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (/.f64 (.f64 (.f64 1/2 (*.f64 x x)) (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) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (/.f64 (.f64 (*.f64 1/720 (pow.f64 x 6)) (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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 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))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(+.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)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.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 -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))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(sqrt.f64 (/.f64 1 y))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 y)))
(fma.f64 1/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (/.f64 1 y)))
(fma.f64 1/2 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 y)))) (sqrt.f64 (/.f64 1 y)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 y))))
(fma.f64 1/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 y))) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (/.f64 1 y))))
(fma.f64 1/2 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 y)))) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (/.f64 1 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 4))) (+.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/720 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 y))) (+.f64 (fma.f64 1/24 (.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (/.f64 1 y))) (.f64 1/720 (*.f64 (pow.f64 x 6) (sqrt.f64 (/.f64 1 y))))))
(fma.f64 1/2 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 y)))) (fma.f64 1/24 (.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 1 y))) (fma.f64 1/720 (.f64 (pow.f64 x 6) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (/.f64 1 y)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sqrt.f64 (/.f64 1 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 2) y)) (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 2) y)) (.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)))))
(.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 2) y)) (cbrt.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (pow.f64 y -1/2) (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(.f64 (cosh.f64 x) (/.f64 (.f64 (sin.f64 y) (pow.f64 y -1/2)) (sqrt.f64 y)))
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(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y))))
(/.f64 (cosh.f64 x) (sqrt.f64 y))
(neg.f64 (/.f64 (/.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 y))) 1))
(/.f64 (cosh.f64 x) (sqrt.f64 y))
(sqrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 2) y))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(/.f64 (cosh.f64 x) (sqrt.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)))))
(/.f64 (cosh.f64 x) (sqrt.f64 y))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) 3))
(/.f64 (cosh.f64 x) (sqrt.f64 y))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(/.f64 (cosh.f64 x) (sqrt.f64 y))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(/.f64 (cosh.f64 x) (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))) 1))
(/.f64 (cosh.f64 x) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(/.f64 (cosh.f64 x) (sqrt.f64 y))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y))))
✓	0.1%	(sqrt.f64 (sin.f64 y))
✓	0.16%	(/.f64 (sqrt.f64 (sin.f64 y)) y)
✓	0.23%	(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series34.0ms (0.3%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
29.0ms	y	@	0	(sqrt.f64 (sin.f64 y))
3.0ms	y	@	0	(/.f64 (sqrt.f64 (sin.f64 y)) y)
1.0ms	y	@	-inf	(/.f64 (sqrt.f64 (sin.f64 y)) y)
0.0ms	y	@	inf	(/.f64 (sqrt.f64 (sin.f64 y)) y)
0.0ms	y	@	0	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y))))

rewrite113.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-*r/`
1298×	`associate-*l/`
956×	`associate-/r*`
782×	`associate-/l*`
268×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	227	56
2	2999	56

Stop Event

1×	node limit

Counts

4 → 298

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 1 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 1/4) (/.f64 y (.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 1/4) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (pow.f64 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simplify142.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-r`
1308×	`associate-l`
1162×	`times-frac`
878×	`associate-/r*`
700×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	725	11058
1	1720	10030

Stop Event

1×	node limit

Counts

342 → 428

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 1 y) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 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))
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(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) 3) (pow.f64 (sin.f64 y) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) 1)
(*.f64 1 (/.f64 (sqrt.f64 (sin.f64 y)) y))
(.f64 (pow.f64 (sin.f64 y) 1/4) (.f64 (pow.f64 (sin.f64 y) 1/4) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) (sqrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 1 y)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) (cbrt.f64 (/.f64 (sin.f64 y) (.f64 y y))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) (.f64 y y))) (cbrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (/.f64 -1 y))
(*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 -1 y) (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) 1) (/.f64 (pow.f64 (sin.f64 y) 1/4) y))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) y) (pow.f64 (sin.f64 y) 1/4))
(.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) (cbrt.f64 (.f64 y y))) (/.f64 (pow.f64 (sin.f64 y) 1/4) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) y))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 y)))
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) 3) 1/3)
(pow.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) -1)
(neg.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 y)))
(sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y y)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)
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(*.f64 1 (sqrt.f64 (sin.f64 y)))
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(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/2))
(pow.f64 (sin.f64 y) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (sin.f64 y) (/.f64 (.f64 y 2) (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (cosh.f64 x)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 1)
(/.f64 (*.f64 2 (cosh.f64 x)) (/.f64 2 (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (+.f64 y y) (sin.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 2 (cosh.f64 x))) 2)
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 2)
(/.f64 (.f64 (sin.f64 y) (.f64 2 (cosh.f64 x))) (*.f64 y 2))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (sin.f64 y)) (+.f64 y y))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) y)
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 (sin.f64 y))))) (neg.f64 y))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sqrt.f64 (sin.f64 y)) y))) 2)
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (sin.f64 y)))) (+.f64 y y))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (*.f64 2 (cosh.f64 x)) 1)) (/.f64 (+.f64 y y) (sqrt.f64 (sin.f64 y))))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (.f64 2 (cosh.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 y))))) (.f64 2 (neg.f64 y)))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (neg.f64 (.f64 2 (cosh.f64 x)))) -2)
(/.f64 (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (.f64 (cosh.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y))))) (neg.f64 y))
(/.f64 (.f64 (cosh.f64 x) (.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) (neg.f64 y))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) 1)) y)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y)))) (cbrt.f64 y))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (.f64 1 (.f64 (/.f64 (sin.f64 y) y) (*.f64 2 (cosh.f64 x)))) 2)
(/.f64 (.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))) y)
(/.f64 (.f64 1 (.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y))) 2)
(/.f64 (.f64 1 (.f64 (sin.f64 y) (.f64 2 (cosh.f64 x)))) (.f64 y 2))
(/.f64 (.f64 1 (.f64 (*.f64 2 (cosh.f64 x)) (sin.f64 y))) (+.f64 y y))
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (sqrt.f64 (sin.f64 y))) y)
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 1) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (pow.f64 (sin.f64 y) 1/4)) (/.f64 y (pow.f64 (sin.f64 y) 1/4)))
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sqrt.f64 (sin.f64 y)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 y)))) (neg.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 (sqrt.f64 (sin.f64 y)) 1)) y)
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) -1) (neg.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 y))))) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 1 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 1/4) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (/.f64 y (pow.f64 (sin.f64 y) 1/4)))
(/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (/.f64 y (cbrt.f64 (sqrt.f64 (sin.f64 y)))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (neg.f64 y))
(/.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) y)
(/.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (.f64 -1 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (neg.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))
(/.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 y)))) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cosh.f64 x)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y)))) (cosh.f64 x)) (neg.f64 y))
(/.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (cosh.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (cosh.f64 x)) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cosh.f64 x)) (sqrt.f64 y))
(/.f64 (.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y))) (cosh.f64 x)) (cbrt.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))
(/.f64 (.f64 (neg.f64 (.f64 2 (cosh.f64 x))) (/.f64 (sin.f64 y) y)) -2)
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (*.f64 2 (cosh.f64 x))) 1) 2)
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 1) y)
(/.f64 (.f64 (.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 1) 2)
(/.f64 (.f64 (.f64 (sin.f64 y) (.f64 2 (cosh.f64 x))) 1) (.f64 y 2))
(/.f64 (.f64 (.f64 (*.f64 2 (cosh.f64 x)) (sin.f64 y)) 1) (+.f64 y y))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (*.f64 (sqrt.f64 (cosh.f64 x)) (sin.f64 y)) y)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (.f64 (.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sqrt.f64 (sin.f64 y)) y)) (sqrt.f64 (sin.f64 y))) 2)
(/.f64 (.f64 (.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (+.f64 y y))
(/.f64 (.f64 (.f64 (*.f64 2 (cosh.f64 x)) 1) (sqrt.f64 (sin.f64 y))) (/.f64 (+.f64 y y) (sqrt.f64 (sin.f64 y))))
(/.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y))) (.f64 2 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 (.f64 -1/6 y) y))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.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)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.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 1 y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(+.f64 (/.f64 (sin.f64 y) y) (/.f64 (.f64 (.f64 1/2 (*.f64 x x)) (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) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
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(/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (/.f64 y (cbrt.f64 (sqrt.f64 (sin.f64 y)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (cosh.f64 x) (cbrt.f64 (sin.f64 y)))) y) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (sin.f64 y)) (cosh.f64 x))) y))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (neg.f64 y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (/.f64 (cbrt.f64 y) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))
(/.f64 (.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) 1)) (.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(/.f64 (.f64 -1 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (neg.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 y)))) (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cosh.f64 x)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cosh.f64 x)) y) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cosh.f64 x)) y))
(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y)))) (cosh.f64 x)) (neg.f64 y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (cosh.f64 x)) (neg.f64 y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (cosh.f64 x)) y)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cosh.f64 x)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(/.f64 (.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y))) (cosh.f64 x)) (cbrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 y) (cosh.f64 x)))
(.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (cosh.f64 x) (cbrt.f64 (.f64 y y))))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (neg.f64 (.f64 2 (cosh.f64 x))) (/.f64 (sin.f64 y) y)) -2)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (*.f64 2 (cosh.f64 x))) 1) 2)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 1) y)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 1) 2)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 (sin.f64 y) (.f64 2 (cosh.f64 x))) 1) (.f64 y 2))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 (*.f64 2 (cosh.f64 x)) (sin.f64 y)) 1) (+.f64 y y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (*.f64 (sqrt.f64 (cosh.f64 x)) (sin.f64 y)) y)) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 2) (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (sin.f64 y)) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sqrt.f64 (sin.f64 y)) y)) (sqrt.f64 (sin.f64 y))) 2)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (+.f64 y y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 (*.f64 2 (cosh.f64 x)) 1) (sqrt.f64 (sin.f64 y))) (/.f64 (+.f64 y y) (sqrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y))) (.f64 2 (neg.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cosh.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) y)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 y) (cosh.f64 x)))
(.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (cosh.f64 x) (cbrt.f64 (.f64 y y))))
(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 y) (cosh.f64 x)))
(.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (cosh.f64 x) (cbrt.f64 (.f64 y y))))
(pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 1)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) 2)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 3)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 3) 1/3)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) (log.f64 (exp.f64 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 3))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 1))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

eval289.0ms (2.7%)

Compiler: Compiled 18696 to 5752 computations (69.2% saved)

prune249.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1153	8	1161
Fresh	5	2	7
Picked	1	0	1
Done	2	2	4
Total	1161	12	1173

Error

Counts

1173 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	42.87%	(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)))
▶	51.6%	(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 y (sqrt.f64 (sin.f64 y))))
	57.25%	(/.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
	1.36%	(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
▶	2.06%	(/.f64 (sin.f64 y) y)
✓	0.2%	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	2.2%	(/.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)) (cbrt.f64 y)))
▶	0.44%	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
▶	29.06%	(/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)))
	2.32%	(*.f64 (sin.f64 y) (/.f64 1 y))
▶	1.6%	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	49.21%	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 273 to 191 computations (30% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.15%	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
✓	0.17%	(/.f64 1 (sin.f64 y))
✓	0.35%	(*.f64 (/.f64 1 (sin.f64 y)) y)

Compiler

Compiled 28 to 14 computations (50% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`associate-/l*`
1524×	`associate-*l/`
1090×	`*-commutative`
496×	`associate-/r/`
420×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	227	43
2	2988	43

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(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 (sqrt.f64 (/.f64 y (sin.f64 y))) (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (*.f64 1 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 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(/.f64 (cosh.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (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 pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))))

simplify117.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1642×	`unswap-sqr`
642×	`distribute-rgt-in`
634×	`distribute-lft-in`
494×	`associate-/l*`
444×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	4661
1	1028	4577
2	4172	4501

Stop Event

1×	node limit

Counts

195 → 244

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 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 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 (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 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(/.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 y))
(/.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (*.f64 1 (/.f64 (sin.f64 y) (sqrt.f64 y))))
(/.f64 (pow.f64 (sin.f64 y) -1/2) (/.f64 1 (/.f64 y (sqrt.f64 (sin.f64 y)))))
(/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (cbrt.f64 y) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (/.f64 y (cbrt.f64 (sin.f64 y)))))
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 (sqrt.f64 (sqrt.f64 y)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 (cbrt.f64 y))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (*.f64 y (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sin.f64 y)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (/.f64 y (cbrt.f64 (sin.f64 y)))))
(/.f64 (/.f64 y 1) (sin.f64 y))
(/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 1 (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) y) (cbrt.f64 (sin.f64 y)))
(/.f64 (*.f64 (/.f64 y 1) 1) (sin.f64 y))
(/.f64 (*.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) 1) (sqrt.f64 (sin.f64 y)))
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) 1) (cbrt.f64 (sin.f64 y)))
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(/.f64 (*.f64 1 (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (sin.f64 y)))
(/.f64 (*.f64 1 (/.f64 y (cbrt.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(/.f64 (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (sin.f64 y))) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 y (sin.f64 y)))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 y) (sin.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (/.f64 1 (pow.f64 (sin.f64 y) 3))))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1))
(pow.f64 (sin.f64 y) -1)
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 1)
(.f64 1 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2))
(.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(.f64 (neg.f64 (cosh.f64 x)) (.f64 (/.f64 1 (neg.f64 y)) (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) (sqrt.f64 (cosh.f64 x)))
(.f64 (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) (cosh.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(.f64 (.f64 (/.f64 1 (neg.f64 y)) (sin.f64 y)) (neg.f64 (cosh.f64 x)))
(.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (sin.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (sin.f64 y)) (sqrt.f64 (cosh.f64 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (sin.f64 y)) (/.f64 (sqrt.f64 (cosh.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) 1) (sin.f64 y)))
(.f64 (.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) 1) (sin.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 1 (sin.f64 y))) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) y) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (sin.f64 y) -1/2)) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y)) (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (sin.f64 y))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) -1) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -1)
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2))
(log.f64 (exp.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 7/360 (pow.f64 y 4) (.f64 y (.f64 1/6 y))))
(+.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 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 7/360 (pow.f64 y 4) (.f64 y (.f64 1/6 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 y (sin.f64 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(fma.f64 1/6 y (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 7/360 (pow.f64 y 3) (*.f64 1/6 y)))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3)))))
(+.f64 (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3))) (fma.f64 31/15120 (pow.f64 y 5) (/.f64 1 y)))
(+.f64 (fma.f64 7/360 (pow.f64 y 3) (*.f64 1/6 y)) (fma.f64 31/15120 (pow.f64 y 5) (/.f64 1 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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
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(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4))))
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(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.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 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 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))))
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(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 (*.f64 y y) -1/12)))
(+.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)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/240))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 (pow.f64 y 4) 1/240))))
(+.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))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.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 1/2 (.f64 (.f64 y y) -1/12))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (pow.f64 y 4) 1/240) (.f64 (pow.f64 y 6) -1/10080))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 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))
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(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
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(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (.f64 (/.f64 1 (neg.f64 y)) (sin.f64 y)) (neg.f64 (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (sin.f64 y)) (sqrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (sin.f64 y)) (/.f64 (sqrt.f64 (cosh.f64 x)) 1))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) 1) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) 1) (sin.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 1 (sin.f64 y))) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) y) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (sin.f64 y) -1/2)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (sin.f64 y) -1/2)))
(.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (.f64 y (pow.f64 (sin.f64 y) -1/2))))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y)) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (sin.f64 y))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) -1) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 (cosh.f64 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3) 1/3)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -1)
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 2))
(fabs.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)))
(log.f64 (exp.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.17%	(/.f64 (sin.f64 y) y)

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
✓	0.02%	(.f64 1/2 (/.f64 (.f64 x x) y))
✓	0.42%	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	11.01%	(/.f64 (*.f64 x x) y)

Compiler

Compiled 51 to 22 computations (56.9% saved)

series6.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite155.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`associate-/r*`
1186×	`associate-/l*`
648×	`distribute-lft-in`
514×	`associate-/r/`
306×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	104
1	300	96
2	4118	96

Stop Event

1×	node limit

Counts

4 → 280

Calls

Call 1

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

Outputs
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simplify206.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1110×	`associate-/l*`
1098×	`associate-/l/`
882×	`associate-r`
776×	`associate-l`
692×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	743	16996
1	2054	16784

Stop Event

1×	node limit

Counts

376 → 481

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (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 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) 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 (/.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 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) 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 (/.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 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.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) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)
(.f64 x (.f64 x (/.f64 1 y)))
(*.f64 x (/.f64 x y))
(.f64 (.f64 x x) (/.f64 1 y))
(.f64 (.f64 x (/.f64 x y)) 1)
(.f64 1 (.f64 x (/.f64 x y)))
(.f64 (/.f64 1 y) (.f64 x x))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(.f64 (pow.f64 y -1/2) (/.f64 (.f64 x x) (sqrt.f64 y)))
(.f64 (cbrt.f64 (.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 x y))) 2) (cbrt.f64 (*.f64 x (/.f64 x y))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 y)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 -1 y))
(.f64 (.f64 (*.f64 x x) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(.f64 (.f64 (*.f64 x x) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 y))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 y)) (pow.f64 y -1/2))
(*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (/.f64 1 (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (/.f64 (cbrt.f64 y) x)))
(*.f64 (/.f64 x y) x)
(*.f64 (/.f64 x (/.f64 (neg.f64 y) x)) -1)
(.f64 (/.f64 -1 y) (.f64 x (neg.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (.f64 x x)) y))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 y)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 x (/.f64 x y))))
(*.f64 (/.f64 (/.f64 x (/.f64 1 x)) 1) (/.f64 1 y))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (cbrt.f64 (.f64 x x)))
(*.f64 (/.f64 x (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 y x)) (sqrt.f64 x))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 x))
(.f64 (/.f64 x (/.f64 y (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(.f64 (/.f64 1 (/.f64 y (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (.f64 x x)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 y x)) (cbrt.f64 x))
(pow.f64 (*.f64 x (/.f64 x y)) 1)
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) 1/3)
(pow.f64 (/.f64 y (*.f64 x x)) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) x)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 y -2)))
(log.f64 (exp.f64 (*.f64 x (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 y -3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 x (/.f64 x y)) (*.f64 1/2 (sin.f64 y))))
(+.f64 (.f64 (.f64 x (/.f64 x y)) (*.f64 1/2 (sin.f64 y))) (/.f64 (sin.f64 y) y))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) (fma.f64 (.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))))) 1)
(/.f64 (sin.f64 y) (/.f64 1 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))))
(/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2)))) (sin.f64 y)))
(/.f64 (.f64 (sin.f64 y) (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2))) (/.f64 (-.f64 1 (.f64 (*.f64 x x) 1/2)) y))
(/.f64 (.f64 (sin.f64 y) (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3))) (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (*.f64 y y) 1/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (sin.f64 y)) (/.f64 (-.f64 1 (.f64 (*.f64 x x) 1/2)) y))
(/.f64 (.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)) (sin.f64 y)) (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (*.f64 y y) 1/2)))))
(/.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (.f64 (.f64 (.f64 x (/.f64 x y)) (.f64 1/2 (sin.f64 y))) (.f64 (.f64 x (/.f64 x y)) (.f64 1/2 (sin.f64 y))))) (-.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 x (/.f64 x y)) (*.f64 1/2 (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (.f64 (.f64 x (/.f64 x y)) (.f64 1/2 (sin.f64 y))) 3)) (+.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (-.f64 (.f64 (.f64 (.f64 x (/.f64 x y)) (.f64 1/2 (sin.f64 y))) (.f64 (.f64 x (/.f64 x y)) (.f64 1/2 (sin.f64 y)))) (.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 x (/.f64 x y)) (*.f64 1/2 (sin.f64 y)))))))
(/.f64 (/.f64 (.f64 (sin.f64 y) (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2))) 1) (/.f64 (-.f64 1 (.f64 (*.f64 x x) 1/2)) y))
(/.f64 (/.f64 (.f64 (sin.f64 y) (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (*.f64 x x) 1/2)) y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2))) (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y)) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y)))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2))) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y))) (pow.f64 y -1/2))) (-.f64 (pow.f64 y -1/2) (*.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y)))))
(/.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3))) 1) (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (*.f64 y y) 1/2)))))
(/.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (*.f64 y y) 1/2))))))
(/.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (sin.f64 y)) 1) (/.f64 (-.f64 1 (.f64 (*.f64 x x) 1/2)) y))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (sin.f64 y)) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (*.f64 x x) 1/2)) y)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (sin.f64 y)) (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y)) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y)))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (sin.f64 y)) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y))) (pow.f64 y -1/2))) (-.f64 (pow.f64 y -1/2) (*.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)) (sin.f64 y)) 1) (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (*.f64 y y) 1/2)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)) (sin.f64 y)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (*.f64 y y) 1/2))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)) (sin.f64 y)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2))))))
(pow.f64 (.f64 (sin.f64 y) (fma.f64 (.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 y) (fma.f64 (.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (fma.f64 (.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 y) (fma.f64 (.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))) 3) 1/3)
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3))) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2)))) (sqrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2))) (cbrt.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)))) (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y) (cbrt.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (*.f64 x x)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3))) (cbrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)))) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2)))) (cbrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (*.f64 x x)) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 y -3) (pow.f64 y -3)) (.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3))) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2)))) (-.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (*.f64 x x)) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (pow.f64 y -2)) (-.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) (/.f64 1 y)))
(/.f64 (-.f64 (.f64 (pow.f64 y -2) (pow.f64 y -2)) (.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2))) (.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y) (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (*.f64 x x)) 2) (pow.f64 y -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 y -3) 3) (pow.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2)))) (-.f64 (+.f64 (.f64 (pow.f64 y -3) (pow.f64 y -3)) (.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3))) (.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) 3)) (.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y) (+.f64 (.f64 (pow.f64 y -2) (pow.f64 y -2)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2))))))
(/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y y))
(/.f64 (+.f64 (neg.f64 y) (.f64 (neg.f64 y) (.f64 (.f64 x x) 1/2))) (.f64 (neg.f64 y) y))
(/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (.f64 y y))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) 1/2) (neg.f64 y)) (.f64 y -1)) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2))) (neg.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) 1) (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y))
(/.f64 (/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y)))
(/.f64 (/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y)) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y)))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (*.f64 x x) 1/2)) y)))
(/.f64 (/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y))) (pow.f64 y -1/2))) (-.f64 (pow.f64 y -1/2) (.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)) 1) (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 y -3) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (.f64 y y) 1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2) (-.f64 (pow.f64 y -2) (/.f64 (.f64 x x) (/.f64 (*.f64 y y) 1/2))))))
(/.f64 (/.f64 (+.f64 y (.f64 y (.f64 (*.f64 x x) 1/2))) y) y)
(/.f64 (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) 1) (.f64 y y))
(/.f64 (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (sqrt.f64 y)) (.f64 (sqrt.f64 y) y))
(/.f64 (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 y) y))
(/.f64 (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 y) 2))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (+.f64 (neg.f64 y) (.f64 (neg.f64 y) (.f64 (*.f64 x x) 1/2))) (neg.f64 y)) y)
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (*.f64 x x) 1/2) y)) y) y)
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) 1) (.f64 y y))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (sqrt.f64 y)) (.f64 (sqrt.f64 y) y))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 y) y))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 y) 2))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (.f64 y (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (.f64 y (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) 1/2) (neg.f64 y)) (.f64 y -1)) y) (neg.f64 y))
(pow.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))))
(fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))
(fma.f64 1 (/.f64 1 y) (.f64 (/.f64 1/2 y) (.f64 x x)))
(fma.f64 1 (.f64 (/.f64 1/2 y) (.f64 x x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(fma.f64 (.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y))) (.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y))) (/.f64 1 y))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (.f64 (/.f64 1/2 y) (.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 y) (.f64 x x))) 2) (cbrt.f64 (.f64 (/.f64 1/2 y) (.f64 x x))) (/.f64 1 y))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (.f64 (/.f64 1/2 y) (.f64 x x)))

Outputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (.f64 x (.f64 x 1/2))))
(fma.f64 -1/6 (.f64 y (+.f64 y (.f64 x (.f64 x (.f64 y 1/2))))) (+.f64 1 (.f64 x (.f64 x 1/2))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) (pow.f64 y 4))))))
(fma.f64 -1/6 (.f64 y (+.f64 y (.f64 x (.f64 x (.f64 y 1/2))))) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (*.f64 (pow.f64 y 4) 1/120)))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (fma.f64 -1/5040 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (pow.f64 y 6)) (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (pow.f64 y 4)))))))
(fma.f64 -1/6 (.f64 y (+.f64 y (.f64 x (.f64 x (.f64 y 1/2))))) (+.f64 1 (fma.f64 -1/5040 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (pow.f64 y 6)) (fma.f64 1/2 (.f64 x x) (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 (pow.f64 y 4) 1/120))))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 (.f64 x (/.f64 x y)) (.f64 1/2 (sin.f64 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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 (.f64 x (/.f64 x y)) (.f64 1/2 (sin.f64 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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 (.f64 x (/.f64 x y)) (.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(.f64 (sin.f64 y) (.f64 x (*.f64 (/.f64 x y) 1/2)))
(+.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 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (+.f64 y (.f64 (.f64 y (.f64 x x)) 1/2)) (.f64 (*.f64 y (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (+.f64 y (.f64 x (.f64 x (.f64 y 1/2)))) (.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (+.f64 (neg.f64 y) (.f64 (neg.f64 y) (.f64 (*.f64 x x) 1/2))) (neg.f64 y)) y)
(/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (neg.f64 y) (neg.f64 y)) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 -1/2 y)) y) (.f64 y (neg.f64 y)))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (*.f64 x x) 1/2) y)) y) y)
(/.f64 (+.f64 y (.f64 (.f64 y (.f64 x x)) 1/2)) (.f64 y y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 (*.f64 y y) y))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) 1) (.f64 y y))
(/.f64 (+.f64 y (.f64 (.f64 y (.f64 x x)) 1/2)) (.f64 y y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 (*.f64 y y) y))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (sqrt.f64 y)) (.f64 (sqrt.f64 y) y))
(/.f64 (+.f64 y (.f64 (.f64 y (.f64 x x)) 1/2)) (.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 (.f64 (sqrt.f64 y) (.f64 y (sqrt.f64 y))) y))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 y) y))
(/.f64 (+.f64 y (.f64 (.f64 y (.f64 x x)) 1/2)) (.f64 (*.f64 y (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (+.f64 y (.f64 x (.f64 x (.f64 y 1/2)))) (.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 y) 2))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 y (*.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 y) 4)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 y) 4)) y))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (.f64 y (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (+.f64 y (.f64 (.f64 y (.f64 x x)) 1/2)) (.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 (.f64 (sqrt.f64 y) (.f64 y (sqrt.f64 y))) y))
(/.f64 (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (.f64 y (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (+.f64 y (.f64 (.f64 y (.f64 x x)) 1/2)) (.f64 (*.f64 y (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (+.f64 y (.f64 x (.f64 x (.f64 y 1/2)))) (.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) 1/2) (neg.f64 y)) (.f64 y -1)) y) (neg.f64 y))
(/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) (neg.f64 y) (neg.f64 y)) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 -1/2 y)) y) (.f64 y (neg.f64 y)))
(pow.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)) 1)
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))) 2)
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))) 3)
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)) 3) 1/3)
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)))))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y)) 3))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(exp.f64 (log.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))) 1))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(fma.f64 (*.f64 x (/.f64 x y)) 1/2 (/.f64 1 y))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(fma.f64 1 (/.f64 1 y) (.f64 (/.f64 1/2 y) (.f64 x x)))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(fma.f64 1 (.f64 (/.f64 1/2 y) (.f64 x x)) (/.f64 1 y))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 (.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y))) (.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y))) (/.f64 1 y))
(+.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2)) 2) (/.f64 1 y))
(+.f64 (/.f64 1 y) (pow.f64 (/.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 y)) 2))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (.f64 (/.f64 1/2 y) (.f64 x x)))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (.f64 1/2 (/.f64 (.f64 x x) y)))
(+.f64 (.f64 x (.f64 (/.f64 x y) 1/2)) (pow.f64 y -1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 y) (.f64 x x))) 2) (cbrt.f64 (.f64 (/.f64 1/2 y) (.f64 x x))) (/.f64 1 y))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (.f64 (/.f64 1/2 y) (.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (.f64 x (.f64 (/.f64 x y) 1/2)))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.15%	(/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)))
	0.18%	(/.f64 y (sin.f64 y))
✓	0.23%	(pow.f64 (/.f64 y (sin.f64 y)) 3)
✓	29.07%	(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
1.0ms	y	@	inf	(pow.f64 (/.f64 y (sin.f64 y)) 3)
1.0ms	y	@	-inf	(pow.f64 (/.f64 y (sin.f64 y)) 3)
0.0ms	y	@	-inf	(/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)))
0.0ms	y	@	0	(pow.f64 (/.f64 y (sin.f64 y)) 3)

rewrite144.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`associate-*l/`
1438×	`associate-/l*`
1104×	`*-commutative`
508×	`associate-/r/`
390×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	262	49
2	3245	49

Stop Event

1×	node limit

Counts

3 → 295

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(pow.f64 (/.f64 y (sin.f64 y)) 3)
(/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(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 (/.f64 y (sin.f64 y)) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(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) (neg.f64 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))) (cbrt.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (/.f64 1 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (neg.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) 1) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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(sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) 1/3) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sin.f64 y)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 y) (sin.f64 y)))) (sqrt.f64 (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> 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simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-r`
1266×	`associate-/l*`
1190×	`times-frac`
974×	`associate-l`
964×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	679	10471
1	1837	10223

Stop Event

1×	node limit

Counts

343 → 432

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(.f64 -1 (/.f64 (.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 y (cbrt.f64 -1)) (sin.f64 y)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 17/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 17/120 (pow.f64 y 4)) (*.f64 457/15120 (pow.f64 y 6)))))
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(/.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 (.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))))
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(.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)) (*.f64 y (cbrt.f64 -1))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 y (cbrt.f64 -1))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 y (cbrt.f64 -1))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 y (cbrt.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(*.f64 y (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 (/.f64 y (sin.f64 y)) (pow.f64 1 1/3))
(*.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(.f64 (.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))) (sqrt.f64 y))
(.f64 (.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 y 1) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 y (cbrt.f64 (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 -1 (/.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (neg.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 y))) (neg.f64 y))
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(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 (sqrt.f64 y) 1))
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(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(.f64 (/.f64 (cbrt.f64 y) (sin.f64 y)) (/.f64 (cbrt.f64 (.f64 y y)) 1))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (.f64 y y)) (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) 1/3) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (/.f64 y (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2) 1/3))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sin.f64 y)) (cbrt.f64 y))
(.f64 (/.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y)))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 y) (sin.f64 y)))) (sqrt.f64 (/.f64 (neg.f64 y) (sin.f64 y))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 y) (sin.f64 y))) (cbrt.f64 (/.f64 (neg.f64 y) (sin.f64 y))))) (cbrt.f64 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) 1))
(/.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))
(/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (*.f64 1 (/.f64 (sin.f64 y) (sqrt.f64 y))))
(/.f64 (sqrt.f64 y) (/.f64 1 (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y)))))
(/.f64 (sqrt.f64 y) (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 1 (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) 1/3)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(/.f64 (cbrt.f64 y) (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (.f64 y y)) (.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 y))))
(/.f64 (cbrt.f64 (.f64 y y)) (/.f64 1 (.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y)))))
(/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (cbrt.f64 y))))
(/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 y))
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(/.f64 (sqrt.f64 (cbrt.f64 (.f64 y y))) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (.f64 y y)))))
(/.f64 (sqrt.f64 (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 y))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 y y))) (cbrt.f64 (cbrt.f64 (.f64 y y)))) (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (.f64 y y)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (/.f64 (neg.f64 (sin.f64 y)) (cbrt.f64 (neg.f64 y))))
(/.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (cbrt.f64 (sin.f64 y)) y))
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(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) 1) (sin.f64 y)))
(.f64 (.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) 1) (sin.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (cosh.f64 x)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (sin.f64 y))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (cosh.f64 x) -1) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y)) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) -1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (/.f64 (sin.f64 y) 1))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) -1) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)
(neg.f64 (/.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(+.f64 1 (.f64 (.f64 1/6 y) y))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.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 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.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 -1 (/.f64 (.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(neg.f64 (/.f64 (*.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(/.f64 (neg.f64 y) (/.f64 (sin.f64 y) (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(neg.f64 (/.f64 (*.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(/.f64 (neg.f64 y) (/.f64 (sin.f64 y) (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(neg.f64 (/.f64 (*.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(/.f64 (neg.f64 y) (/.f64 (sin.f64 y) (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(neg.f64 (/.f64 (*.f64 y (cbrt.f64 -1)) (sin.f64 y)))
(/.f64 (neg.f64 y) (/.f64 (sin.f64 y) (cbrt.f64 -1)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 1/2 (.f64 y y)))
(+.f64 1 (.f64 y (.f64 y 1/2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 17/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 4) 17/120)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 17/120 (pow.f64 y 4)) (*.f64 457/15120 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 1/2 (.f64 y y) (fma.f64 17/120 (pow.f64 y 4) (.f64 (pow.f64 y 6) 457/15120))))
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (/.f64 y (sin.f64 y)) 3)
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (/.f64 y (sin.f64 y)) 3)
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (/.f64 y (sin.f64 y)) 3)
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (/.f64 y (sin.f64 y)) 3)
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (/.f64 y (sin.f64 y)) 3)
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (/.f64 y (sin.f64 y)) 3)
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (/.f64 y (sin.f64 y)) 3)
(/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (/.f64 y (sin.f64 y)) 3)
(/.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 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 1/2 y) (.f64 x (*.f64 x (sin.f64 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) (fma.f64 1/2 (/.f64 (.f64 (sin.f64 y) (.f64 x x)) y) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.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) (fma.f64 1/2 (/.f64 (.f64 (sin.f64 y) (.f64 x x)) y) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y)) (.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.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 (.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)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.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 (.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))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.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)) (*.f64 y (cbrt.f64 -1))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (/.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 (sin.f64 y) (cbrt.f64 -1)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 y (cbrt.f64 -1))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (/.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 (sin.f64 y) (cbrt.f64 -1)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 y (cbrt.f64 -1))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (/.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 (sin.f64 y) (cbrt.f64 -1)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 y (cbrt.f64 -1))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (/.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 (sin.f64 y) (cbrt.f64 -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(/.f64 y (sin.f64 y))
(*.f64 y (/.f64 1 (sin.f64 y)))
(/.f64 y (sin.f64 y))
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(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y))))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) 1) (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (cosh.f64 x))))
(.f64 (.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) 1) (sin.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (sin.f64 y))) (cbrt.f64 (cosh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cosh.f64 x) -1) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (cosh.f64 x) (cbrt.f64 (.f64 y y))))
(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(*.f64 (/.f64 (cosh.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cosh.f64 x)) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) -1) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (/.f64 (sin.f64 y) 1))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cosh.f64 x)) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) -1) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x)))
(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (/.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x)) (sqrt.f64 (neg.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 (neg.f64 y)) (cosh.f64 x))))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 (cosh.f64 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (neg.f64 y)))))
(*.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (neg.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(neg.f64 (/.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) (log.f64 (exp.f64 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
	0.1%	(sqrt.f64 (sin.f64 y))
✓	0.15%	(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 y (sqrt.f64 (sin.f64 y))))
✓	0.26%	(/.f64 y (sqrt.f64 (sin.f64 y)))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series6.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 y (sqrt.f64 (sin.f64 y)))
1.0ms	y	@	-inf	(/.f64 y (sqrt.f64 (sin.f64 y)))
1.0ms	y	@	0	(/.f64 y (sqrt.f64 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`unswap-sqr`
956×	`associate-/r/`
932×	`swap-sqr`
742×	`associate-/l/`
458×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	234	73
2	3342	55

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (sin.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (neg.f64 (/.f64 -1 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 (sin.f64 y) -1/2) (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) (*.f64 (pow.f64 (sin.f64 y) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (cosh.f64 x)) (*.f64 (pow.f64 (sin.f64 y) -1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (sin.f64 y) (pow.f64 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (cosh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (sin.f64 y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))))))

simplify122.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1576×	`distribute-lft-in`
870×	`associate-r`
806×	`associate-l`
794×	`*-commutative`
722×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	8185
1	1361	7897
2	6479	7897

Stop Event

1×	node limit

Counts

233 → 269

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 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 (sin.f64 y) y)
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(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (cosh.f64 x))
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(.f64 (/.f64 1 (/.f64 y (.f64 (cbrt.f64 (.f64 (sin.f64 y) (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (sin.f64 y))))) (cbrt.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))
(.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) (/.f64 y (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))) (pow.f64 (sin.f64 y) 1/4))
(.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 y) (pow.f64 (cosh.f64 x) 2))) (/.f64 y (sqrt.f64 (sin.f64 y)))) (cbrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))
(.f64 (/.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) 1) (sqrt.f64 (sin.f64 y)))
(.f64 (/.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) 1) (/.f64 (sqrt.f64 (sin.f64 y)) 1))
(.f64 (/.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (/.f64 1 (pow.f64 (sin.f64 y) 1/4))) (pow.f64 (sin.f64 y) 1/4))
(.f64 (/.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (/.f64 1 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) -1) (neg.f64 (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x))) -1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(.f64 (/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x))) y) (neg.f64 (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (sqrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y))) 1) (sqrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (sqrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y))) (sqrt.f64 y)) (pow.f64 (sin.f64 y) 1/4))
(.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (sqrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sqrt.f64 (sin.f64 y)))))
(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (cbrt.f64 (/.f64 (*.f64 y y) (sin.f64 y)))) 1) (cbrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (cbrt.f64 (/.f64 (*.f64 y y) (sin.f64 y)))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (cbrt.f64 (/.f64 (*.f64 y y) (sin.f64 y)))) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sqrt.f64 (sin.f64 y)))))
(.f64 (.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))))) (.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))))))
(.f64 (.f64 (pow.f64 (sin.f64 y) 1/4) (/.f64 (sqrt.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (sqrt.f64 y))) (.f64 (pow.f64 (sin.f64 y) 1/4) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (sqrt.f64 y))))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (/.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 y))) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) (/.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 y))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) (sqrt.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y)) (sqrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))))
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 y)) (sqrt.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))) (.f64 (/.f64 (pow.f64 (sin.f64 y) 1/4) (sqrt.f64 y)) (sqrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))))
(pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -1)
(neg.f64 (.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 (sin.f64 y)))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 y))))
(neg.f64 (.f64 (.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 (sin.f64 y)))) 1))
(neg.f64 (.f64 1 (.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 (sin.f64 y))))))
(neg.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x))))))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x))) (/.f64 y (sqrt.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 3) (pow.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))) 1)
(/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) -1/2))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 1)
(/.f64 1 (.f64 (pow.f64 (sin.f64 y) -1/2) (/.f64 2 (.f64 2 (cosh.f64 x)))))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 (pow.f64 (sin.f64 y) -1/2) 2))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 2 (cosh.f64 x))) 2)
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))) 2)
(/.f64 (.f64 -2 (cosh.f64 x)) (.f64 (pow.f64 (sin.f64 y) -1/2) -2))
(pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 3) 1/3)
(neg.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x))))
(sqrt.f64 (*.f64 (sin.f64 y) (pow.f64 (cosh.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (cosh.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (sin.f64 y) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))

Outputs
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 y (sqrt.f64 (/.f64 1 (sin.f64 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))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(+.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)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.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 -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))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 1/2 (/.f64 y (*.f64 (sin.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 1/2 (/.f64 y (*.f64 (sin.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 1/2 (/.f64 y (*.f64 (sin.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 1/2 (/.f64 y (*.f64 (sin.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 1/2 (/.f64 y (*.f64 (sin.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 1/2 (/.f64 y (*.f64 (sin.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 1/2 (/.f64 y (*.f64 (sin.f64 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 1/2 (/.f64 y (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.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) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.f64 (sin.f64 y) y)) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (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) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 1/2 (/.f64 y (*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
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(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(neg.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x))))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x))) (/.f64 y (sqrt.f64 (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2))
(fabs.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 3) (pow.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) -1/2))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(/.f64 1 (.f64 (pow.f64 (sin.f64 y) -1/2) (/.f64 2 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 1 (pow.f64 (sin.f64 y) -1/2)) (/.f64 1 (cosh.f64 x)))
(/.f64 1 (/.f64 (pow.f64 (sin.f64 y) -1/2) (cosh.f64 x)))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 (pow.f64 (sin.f64 y) -1/2) 2))
(/.f64 (/.f64 (*.f64 2 (cosh.f64 x)) (pow.f64 (sin.f64 y) -1/2)) 2)
(*.f64 1 (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) -1/2)))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 2 (cosh.f64 x))) 2)
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))) 2)
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(/.f64 (.f64 -2 (cosh.f64 x)) (.f64 (pow.f64 (sin.f64 y) -1/2) -2))
(/.f64 (/.f64 (*.f64 2 (cosh.f64 x)) (pow.f64 (sin.f64 y) -1/2)) 2)
(*.f64 1 (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) -1/2)))
(pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) 2)
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) 3)
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 3) 1/3)
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(neg.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(sqrt.f64 (*.f64 (sin.f64 y) (pow.f64 (cosh.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) 3))
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (cosh.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (sin.f64 y) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (cosh.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))) 1))
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x))

eval740.0ms (6.9%)

Compiler: Compiled 31340 to 12657 computations (59.6% saved)

prune489.0ms (4.5%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1587	12	1599
Fresh	4	1	5
Picked	1	0	1
Done	2	4	6
Total	1594	17	1611

Error

Counts

1611 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.03%	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
	43.49%	(/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y) (sin.f64 y)))
▶	1.39%	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
	57.25%	(/.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
✓	2.06%	(/.f64 (sin.f64 y) y)
✓	0.2%	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	51.66%	(/.f64 (cosh.f64 x) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -2) y))
✓	0.44%	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	52.98%	(/.f64 (cosh.f64 x) (*.f64 (exp.f64 (neg.f64 (log.f64 (sin.f64 y)))) y))
	49.61%	(+.f64 1 (.f64 x (.f64 x 1/2)))
▶	50.48%	(+.f64 1 (.f64 -1/6 (.f64 y y)))
▶	2.32%	(*.f64 (/.f64 1 y) (sin.f64 y))
	43.21%	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (*.f64 y y)))
▶	1.6%	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
	94.86%	(.f64 (sin.f64 y) (.f64 x (*.f64 (/.f64 x y) 1/2)))
✓	49.21%	(*.f64 (cosh.f64 x) 1)
	50.06%	1

Compiler

Compiled 349 to 250 computations (28.4% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.15%	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
	0.18%	(/.f64 y (sin.f64 y))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`associate-/l*`
800×	`associate-/r/`
652×	`associate-/l/`
634×	`distribute-rgt-in`
598×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	274	31
2	3678	31

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x (*.f64 x 1/2))) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (*.f64 x (*.f64 x 1/2))) (*.f64 -1 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 (sin.f64 y) y)) (-.f64 -1 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1) (*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) y) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) y) (sin.f64 y)) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) y) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2) (/.f64 y (sin.f64 y))) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) -1) (neg.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (fma.f64 x 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y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 (*.f64 x (*.f64 x 1/2))) (neg.f64 (neg.f64 y))) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) (/.f64 (sin.f64 y) y)) (-.f64 1 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))) (fma.f64 x (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) (/.f64 (sin.f64 y) y)) (-.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))) (+.f64 1 (*.f64 (*.f64 x (*.f64 x 1/2)) (fma.f64 x (*.f64 x 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8)) (/.f64 (sin.f64 y) y)) (-.f64 1 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) 1))))) (-.f64 1 (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8)) (/.f64 (sin.f64 y) y)) (+.f64 1 (pow.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) 1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) 1))) (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))))))

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

962×	`associate-/l/`
798×	`associate-/r/`
704×	`unswap-sqr`
500×	`distribute-rgt-neg-out`
466×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	5088
1	762	3960
2	3174	3906

Stop Event

1×	node limit

Counts

98 → 134

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 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) 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 (/.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 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) 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 (/.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 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 x (*.f64 x 1/2))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 x (*.f64 x 1/2)) (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 x (*.f64 x 1/2))) (/.f64 (sin.f64 y) y))
(+.f64 (.f64 (.f64 x (*.f64 x 1/2)) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))) 1)
(.f64 1 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y))
(.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 1)
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (/.f64 (sin.f64 y) y)))
(.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) (sqrt.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (.f64 x 1/2) 1))
(.f64 (-.f64 -1 (.f64 x (.f64 x 1/2))) (.f64 -1 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) 1) (sin.f64 y))
(.f64 (.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 1 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 (sin.f64 y))))
(.f64 (.f64 -1 (/.f64 (sin.f64 y) y)) (-.f64 -1 (.f64 x (.f64 x 1/2))))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) y) (sin.f64 y)))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) y) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (/.f64 1 (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) 1) (.f64 (/.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) y) (sin.f64 y)))
(.f64 (.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) y) (sin.f64 y)) (hypot.f64 1 (.f64 x (sqrt.f64 1/2))))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) y) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 1 (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (/.f64 y (sin.f64 y))) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) -1) (neg.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2))) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) 1) (sin.f64 y))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) 1) (/.f64 (sin.f64 y) 1))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (/.f64 1 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) -1) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) -1) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (neg.f64 (neg.f64 y))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2)) (/.f64 (sin.f64 y) y)) (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2))) (fma.f64 x (*.f64 x 1/2) 1))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2)) (/.f64 (sin.f64 y) y)) (-.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8))) (+.f64 1 (.f64 (.f64 x (.f64 x 1/2)) (fma.f64 x (.f64 x 1/2) 1))))
(.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8)) (/.f64 (sin.f64 y) y)) (-.f64 1 (.f64 (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) 1)) (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) 1))))) (-.f64 1 (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) 1))))
(.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8)) (/.f64 (sin.f64 y) y)) (+.f64 1 (pow.f64 (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) 1)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) 1)) (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) 1))) (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (*.f64 x 1/2)) 1)))))
(.f64 (/.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(.f64 (/.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1)) -1)
(neg.f64 (.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (neg.f64 y)) (sin.f64 y)))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) 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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x)))
(.f64 (/.f64 (.f64 (sin.f64 y) 1/2) y) (*.f64 x x))
(+.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x)))
(.f64 (/.f64 (.f64 (sin.f64 y) 1/2) y) (*.f64 x x))
(+.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.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 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/6 (.f64 (.f64 y y) (fma.f64 x (.f64 1/2 x) 1)) (fma.f64 x (.f64 1/2 x) 1))
(fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 (.f64 y y) -1/6) 1))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 -1/6 (.f64 (.f64 y y) (fma.f64 x (.f64 1/2 x) 1)) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (pow.f64 y 4) (fma.f64 x (*.f64 1/2 x) 1))))))
(+.f64 (fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) (fma.f64 1/2 (.f64 x x) 1)) (.f64 1/120 (.f64 (pow.f64 y 4) (fma.f64 1/2 (*.f64 x x) 1))))
(+.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 (pow.f64 y 4) 1/120) (.f64 (.f64 y y) -1/6))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(fma.f64 -1/6 (.f64 (.f64 y y) (fma.f64 x (.f64 1/2 x) 1)) (+.f64 1 (fma.f64 -1/5040 (.f64 (pow.f64 y 6) (fma.f64 x (.f64 1/2 x) 1)) (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (pow.f64 y 4) (fma.f64 x (*.f64 1/2 x) 1)))))))
(+.f64 (fma.f64 -1/5040 (.f64 (pow.f64 y 6) (fma.f64 1/2 (.f64 x x) 1)) (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (pow.f64 y 4) (fma.f64 1/2 (.f64 x x) 1))))) (fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1))) 1))
(+.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 (.f64 y y) -1/6) 1)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 (pow.f64 y 6) -1/5040) (.f64 (pow.f64 y 4) 1/120))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 x (*.f64 x 1/2))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 x (*.f64 x 1/2)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 x (*.f64 x 1/2))) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (.f64 (.f64 x (*.f64 x 1/2)) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))) 1)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 1 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 1)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (/.f64 (sin.f64 y) y)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (.f64 (sin.f64 y) (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) y)))
(.f64 (sin.f64 y) (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) y)))
(.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) (sqrt.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
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(.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (-.f64 1 (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 1/2 (.f64 x x) -1) (fma.f64 1/2 (.f64 x x) -1)))) (fma.f64 (pow.f64 x 6) 1/8 1))) (-.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (*.f64 x x) -1/2))))
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 y) y) (-.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) (.f64 (fma.f64 1/2 (.f64 x x) -1) (.f64 (pow.f64 x 4) 1/4))))) (fma.f64 (pow.f64 x 6) 1/8 1)) (+.f64 1 (-.f64 (.f64 (pow.f64 x 4) -1/4) (.f64 x (.f64 x -1/2)))))
(.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8)) (/.f64 (sin.f64 y) y)) (+.f64 1 (pow.f64 (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) 1)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) 1)) (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) 1))) (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (*.f64 x 1/2)) 1)))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8))) (+.f64 1 (pow.f64 (.f64 (.f64 1/2 (.f64 x x)) (fma.f64 x (.f64 1/2 x) -1)) 3))) (+.f64 1 (-.f64 (.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 (fma.f64 x (.f64 1/2 x) -1) (fma.f64 x (.f64 1/2 x) -1))) (.f64 (.f64 1/2 (.f64 x x)) (fma.f64 x (.f64 1/2 x) -1)))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (fma.f64 (pow.f64 x 6) 1/8 1)) (fma.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 1/2 (.f64 x x) -1) 3) 1)) (+.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) (-.f64 (.f64 (fma.f64 1/2 (.f64 x x) -1) (.f64 (pow.f64 x 4) 1/4)) (.f64 1/2 (*.f64 x x))))))
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 y) y) (fma.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 (fma.f64 1/2 (.f64 x x) -1) 3) 1)) (fma.f64 (pow.f64 x 6) 1/8 1)) (+.f64 1 (.f64 (fma.f64 1/2 (.f64 x x) -1) (+.f64 (.f64 (fma.f64 1/2 (.f64 x x) -1) (.f64 (pow.f64 x 4) 1/4)) (.f64 x (*.f64 x -1/2))))))
(.f64 (/.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (/.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (.f64 (fma.f64 x (*.f64 1/2 x) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))))
(.f64 (/.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (fma.f64 x (.f64 1/2 x) 1) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (.f64 (fma.f64 x (*.f64 1/2 x) 1) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (fma.f64 x (.f64 1/2 x) 1) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))
(.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (fma.f64 1/2 (.f64 x x) 1) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))
(/.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (fma.f64 x (.f64 1/2 x) 1) (*.f64 (cbrt.f64 (neg.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) (cbrt.f64 (neg.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 1)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(pow.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 3)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(pow.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 3) 1/3)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1)) -1)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(neg.f64 (.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (neg.f64 y)) (sin.f64 y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 2))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 3))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(exp.f64 (log.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 1))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.68%	(.f64 -1/6 (.f64 y y))

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
990×	`add-cube-cbrt`
982×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1411	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y))))))))

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
760×	`associate-r`
696×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	93	299
2	348	299
3	1913	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(-.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) 1)
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(pow.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(cbrt.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))

Outputs
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(-.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) 1)
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(pow.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3) 1/3)
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(cbrt.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.43%	(*.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))

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`add-sqr-sqrt`
1434×	`*-un-lft-identity`
1330×	`add-cube-cbrt`
1310×	`add-cbrt-cube`
1294×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	156	11
2	1834	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -1) (neg.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 (/.f64 (sin.f64 y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.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 pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1030×	`associate--l-`
926×	`fma-def`
798×	`associate-/l/`
686×	`*-commutative`
514×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	430
1	160	426
2	492	418
3	2451	418
4	7648	418

Stop Event

1×	node limit

Counts

34 → 36

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 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) -1) (neg.f64 y))
(/.f64 (*.f64 -1 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/120) -1/6) 1)
(+.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)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 1)))
(/.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 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) -1) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 -1 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(/.f64 (sin.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(/.f64 (sin.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
✓	0.42%	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))

Compiler

Compiled 44 to 28 computations (36.4% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
1.0ms	x	@	inf	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
0.0ms	y	@	0	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
0.0ms	y	@	-inf	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
0.0ms	x	@	inf	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`associate-*r/`
1416×	`associate-*l/`
974×	`associate-/r*`
726×	`associate-/l*`
300×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	268	52
2	3441	52

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (/.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (*.f64 (cbrt.f64 (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (*.f64 x (*.f64 x 1/2))) (/.f64 (neg.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1))) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1))) (cbrt.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1)))) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))) (/.f64 y (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2)) (/.f64 y (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y))) (sqrt.f64 (/.f64 y (fma.f64 x (*.f64 x 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (-.f64 1 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2))) (*.f64 y (-.f64 1 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))) (*.f64 y (+.f64 1 (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (-.f64 -1 (*.f64 x (*.f64 x 1/2)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (*.f64 x (*.f64 x 1/2))) (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sqrt.f64 y) (sin.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))) (/.f64 y (*.f64 (sqrt.f64 (sin.f64 y)) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) 1) (/.f64 y (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) (fma.f64 x (*.f64 x 1/2) 1)) 1) (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) (/.f64 1 y))) (-.f64 1 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8)) (/.f64 1 y))) (+.f64 1 (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (pow.f64 (cbrt.f64 y) 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simplify141.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1664×	`associate-/l*`
748×	`distribute-lft-neg-out`
746×	`times-frac`
594×	`associate-/l/`
582×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	10138
1	1353	9744
2	6532	9692

Stop Event

1×	node limit

Counts

240 → 294

Calls

Call 1

Inputs
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (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 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) 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 (/.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 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) 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 (/.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 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)))) 1)
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 x (*.f64 x 1/2) 1)))
(/.f64 1 (/.f64 y (.f64 (sin.f64 y) (fma.f64 x (.f64 x 1/2) 1))))
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(/.f64 (/.f64 (.f64 (-.f64 -1 (.f64 x (.f64 x 1/2))) (sin.f64 y)) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (sin.f64 y)) -1) y)
(/.f64 (/.f64 (.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (sin.f64 y)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (sin.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sqrt.f64 y) (sin.f64 y))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sqrt.f64 y) (sin.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sqrt.f64 y) (sin.f64 y))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sqrt.f64 y) (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y))) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (fma.f64 x (.f64 x 1/2) 1))) 1) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (fma.f64 x (.f64 x 1/2) 1))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (fma.f64 x (.f64 x 1/2) 1))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (fma.f64 x (.f64 x 1/2) 1))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (fma.f64 x (.f64 x 1/2) 1))) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (fma.f64 x (.f64 x 1/2) 1))) -1) y)
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (fma.f64 x (.f64 x 1/2) 1))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (fma.f64 x (.f64 x 1/2) 1))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(pow.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y))))
(exp.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y))) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y))) 1)
(.f64 1 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) 1)
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (/.f64 (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) y))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) (/.f64 1 y)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(.f64 (/.f64 1 y) (fma.f64 x (.f64 x 1/2) 1))
(.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (/.f64 -1 y))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 x (.f64 x 1/2) 1) (sqrt.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 x (.f64 x 1/2) 1) (cbrt.f64 y)))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) y))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) 3) 1/3)
(pow.f64 (/.f64 y (fma.f64 x (*.f64 x 1/2) 1)) -1)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))

Outputs
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/6 (.f64 (.f64 y y) (fma.f64 x (.f64 1/2 x) 1)) (fma.f64 x (.f64 1/2 x) 1))
(fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 (.f64 y y) -1/6) 1))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 -1/6 (.f64 (.f64 y y) (fma.f64 x (.f64 1/2 x) 1)) (+.f64 (fma.f64 x (.f64 1/2 x) 1) (.f64 1/120 (.f64 (pow.f64 y 4) (fma.f64 x (*.f64 1/2 x) 1)))))
(+.f64 (fma.f64 1/120 (.f64 (pow.f64 y 4) (fma.f64 1/2 (.f64 x x) 1)) (.f64 1/2 (.f64 x x))) (fma.f64 (.f64 -1/6 (fma.f64 1/2 (.f64 x x) 1)) (*.f64 y y) 1))
(+.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 (pow.f64 y 4) 1/120) (.f64 (.f64 y y) -1/6))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(fma.f64 -1/6 (.f64 (.f64 y y) (fma.f64 x (.f64 1/2 x) 1)) (+.f64 1 (fma.f64 -1/5040 (.f64 (pow.f64 y 6) (fma.f64 x (.f64 1/2 x) 1)) (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (pow.f64 y 4) (fma.f64 x (*.f64 1/2 x) 1)))))))
(+.f64 (fma.f64 -1/5040 (.f64 (pow.f64 y 6) (fma.f64 1/2 (.f64 x x) 1)) (fma.f64 1/120 (.f64 (pow.f64 y 4) (fma.f64 1/2 (.f64 x x) 1)) (.f64 1/2 (.f64 x x)))) (fma.f64 (.f64 -1/6 (fma.f64 1/2 (.f64 x x) 1)) (*.f64 y y) 1))
(+.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 (.f64 y y) -1/6) 1)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 (pow.f64 y 6) -1/5040) (.f64 (pow.f64 y 4) 1/120))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (.f64 1/2 x) 1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (.f64 1/2 x) 1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (.f64 1/2 x) 1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (.f64 1/2 x) 1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (.f64 1/2 x) 1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (.f64 1/2 x) 1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (.f64 1/2 x) 1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (.f64 1/2 x) 1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 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 x x) (sin.f64 y))) y))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 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 x x) (sin.f64 y))) y))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 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 x x) (sin.f64 y))) y))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(/.f64 (.f64 1/2 (.f64 (*.f64 x x) (sin.f64 y))) y)
(.f64 1/2 (/.f64 (.f64 x x) (/.f64 y (sin.f64 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 x x) (sin.f64 y))) y))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 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 x x) (sin.f64 y))) y))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 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 x x) (sin.f64 y))) y))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(/.f64 (.f64 1/2 (.f64 (*.f64 x x) (sin.f64 y))) y)
(.f64 1/2 (/.f64 (.f64 x x) (/.f64 y (sin.f64 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 x x) (sin.f64 y))) y))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 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 x x) (sin.f64 y))) y))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 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 x x) (sin.f64 y))) y))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 1/2 (/.f64 (.f64 x x) y))
(*.f64 1/2 (/.f64 x (/.f64 y x)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 1/2 (/.f64 (.f64 x x) y))
(*.f64 1/2 (/.f64 x (/.f64 y x)))
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(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 1/2 x) 1) y) 2))
(fabs.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y))))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) 3))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)) 1))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.17%	(/.f64 (sin.f64 y) y)
✓	0.49%	(cbrt.f64 (/.f64 (sin.f64 y) y))
✓	0.56%	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)

Compiler

Compiled 22 to 8 computations (63.6% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
0.0ms	y	@	0	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
0.0ms	y	@	-inf	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.0ms	y	@	inf	(cbrt.f64 (/.f64 (sin.f64 y) y))

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`add-sqr-sqrt`
1634×	`*-un-lft-identity`
1544×	`add-cube-cbrt`
1526×	`add-cbrt-cube`
160×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	190	26
2	2126	26

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(cbrt.f64 (/.f64 (sin.f64 y) y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (/.f64 (sin.f64 y) y) 1/6)) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) 3) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (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 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.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 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))))

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1040×	`unswap-sqr`
860×	`times-frac`
836×	`associate-/l*`
752×	`associate-/r*`
670×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	1408
1	417	1358
2	1432	1346
3	7731	1346

Stop Event

1×	node limit

Counts

84 → 106

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)))))
1
(+.f64 1 (*.f64 -1/18 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3240 (pow.f64 y 4)) (.f64 -1/18 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/3240 (pow.f64 y 4)) (+.f64 (.f64 -53/1224720 (pow.f64 y 6)) (*.f64 -1/18 (pow.f64 y 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (/.f64 (sin.f64 y) y) 1/6)) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) 3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))) 1)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)
(*.f64 1 (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (neg.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (/.f64 (sin.f64 y) y) 1/3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.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)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
1
(+.f64 1 (*.f64 -1/18 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/18))
(fma.f64 (*.f64 y y) -1/18 1)
(fma.f64 y (*.f64 y -1/18) 1)
(+.f64 1 (+.f64 (.f64 -1/3240 (pow.f64 y 4)) (.f64 -1/18 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/3240 (pow.f64 y 4) (.f64 (.f64 y y) -1/18)))
(+.f64 1 (fma.f64 (pow.f64 y 4) -1/3240 (.f64 y (.f64 y -1/18))))
(fma.f64 y (*.f64 y -1/18) (fma.f64 (pow.f64 y 4) -1/3240 1))
(+.f64 1 (+.f64 (.f64 -1/3240 (pow.f64 y 4)) (+.f64 (.f64 -53/1224720 (pow.f64 y 6)) (*.f64 -1/18 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1/3240 (pow.f64 y 4) (fma.f64 -53/1224720 (pow.f64 y 6) (.f64 (.f64 y y) -1/18))))
(+.f64 (fma.f64 (pow.f64 y 4) -1/3240 (.f64 (pow.f64 y 6) -53/1224720)) (fma.f64 (.f64 y y) -1/18 1))
(+.f64 1 (fma.f64 (pow.f64 y 6) -53/1224720 (fma.f64 (pow.f64 y 4) -1/3240 (.f64 y (.f64 y -1/18)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(/.f64 (sin.f64 y) 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 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (/.f64 (sin.f64 y) y) 1/6)) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 3))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) 3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))) 1)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 1 (cbrt.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) (pow.f64 (/.f64 (sin.f64 y) y) 1/6))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/3))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (neg.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (sin.f64 y) y) 1/3)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/6) 2)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 1))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1/3))
(cbrt.f64 (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (/.f64 (sin.f64 y) y))

eval273.0ms (2.5%)

Compiler: Compiled 12287 to 6910 computations (43.8% saved)

prune236.0ms (2.2%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	701	8	709
Fresh	3	5	8
Picked	0	1	1
Done	2	6	8
Total	706	20	726

Error

Counts

726 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	3.06%	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3)
✓	3.03%	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
	43.99%	(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
	48.21%	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 1/6 (.f64 y y))))
	1.63%	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (*.f64 (/.f64 1 (sin.f64 y)) y))
	1.34%	(/.f64 (.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (sin.f64 y)) (neg.f64 y))
	94.95%	(/.f64 (.f64 1/2 (.f64 (*.f64 x x) (sin.f64 y))) y)
	57.25%	(/.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
✓	2.06%	(/.f64 (sin.f64 y) y)
✓	0.2%	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	52.98%	(/.f64 (cosh.f64 x) (*.f64 (exp.f64 (neg.f64 (log.f64 (sin.f64 y)))) y))
	2.11%	(/.f64 1 (/.f64 y (sin.f64 y)))
	50.47%	(+.f64 1 (.f64 y (.f64 -1/6 y)))
	49.61%	(+.f64 1 (.f64 x (.f64 x 1/2)))
✓	50.48%	(+.f64 1 (.f64 -1/6 (.f64 y y)))
✓	2.32%	(*.f64 (/.f64 1 y) (sin.f64 y))
	43.21%	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (*.f64 y y)))
✓	1.6%	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
✓	49.21%	(*.f64 (cosh.f64 x) 1)
	50.06%	1

Compiler

Compiled 215 to 158 computations (26.5% saved)

regimes262.0ms (2.4%)

Counts

41 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(+.f64 1 (.f64 y (.f64 -1/6 y)))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 x (*.f64 (/.f64 x y) 1/2)))
(/.f64 (.f64 1/2 (.f64 (*.f64 x x) (sin.f64 y))) y)
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (sin.f64 y)) (neg.f64 y))
(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (*.f64 (/.f64 1 (sin.f64 y)) y))
(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (*.f64 y y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3)
(/.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 y -2) (pow.f64 (.f64 (/.f64 1/2 y) (.f64 x x)) 2)) (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 x x) 1/2)) y) (sin.f64 y)))
(/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(/.f64 (cosh.f64 x) (*.f64 (exp.f64 (neg.f64 (log.f64 (sin.f64 y)))) y))
(/.f64 (cosh.f64 x) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -2) y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)))
(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)) (cbrt.f64 y)))
(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cosh.f64 x)) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))

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

Calls

5 calls:

84.0ms	y
84.0ms	(/.f64 (sin.f64 y) y)
41.0ms	x
38.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.16%	1	`x`
0.16%	1	`y`
0.16%	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
0.16%	1	`(cosh.f64 x)`
0.16%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 457 to 210 computations (54% saved)

regimes35.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(+.f64 1 (.f64 y (.f64 -1/6 y)))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 x (*.f64 (/.f64 x y) 1/2)))
(/.f64 (.f64 1/2 (.f64 (*.f64 x x) (sin.f64 y))) y)
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (sin.f64 y)) (neg.f64 y))
(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (*.f64 (/.f64 1 (sin.f64 y)) y))
(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 (.f64 (.f64 x x) 1/2) y)) (*.f64 y y)))

Outputs
(/.f64 (.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (sin.f64 y)) (neg.f64 y))

Calls

4 calls:

10.0ms	x
10.0ms	y
9.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.34%	1	`x`
1.34%	1	`y`
1.34%	1	`(cosh.f64 x)`
1.34%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 182 to 106 computations (41.8% saved)

regimes79.0ms (0.7%)

Counts

14 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(+.f64 1 (.f64 y (.f64 -1/6 y)))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 x (*.f64 (/.f64 x y) 1/2)))
(/.f64 (.f64 1/2 (.f64 (*.f64 x x) (sin.f64 y))) y)
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))

Outputs
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))

Calls

4 calls:

53.0ms	(/.f64 (sin.f64 y) y)
12.0ms	x
8.0ms	y
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.39%	1	`x`
1.39%	1	`y`
1.39%	1	`(cosh.f64 x)`
1.39%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 125 to 76 computations (39.2% saved)

regimes30.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(+.f64 1 (.f64 y (.f64 -1/6 y)))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 x (*.f64 (/.f64 x y) 1/2)))
(/.f64 (.f64 1/2 (.f64 (*.f64 x x) (sin.f64 y))) y)
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))

Outputs
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))

Calls

4 calls:

9.0ms	x
8.0ms	y
6.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.6%	1	`x`
1.6%	1	`y`
1.6%	1	`(cosh.f64 x)`
1.6%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 113 to 70 computations (38.1% saved)

regimes70.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(+.f64 1 (.f64 y (.f64 -1/6 y)))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 x (*.f64 (/.f64 x y) 1/2)))
(/.f64 (.f64 1/2 (.f64 (*.f64 x x) (sin.f64 y))) y)

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

Calls

4 calls:

51.0ms	(/.f64 (sin.f64 y) y)
7.0ms	x
7.0ms	y
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
2.06%	1	`x`
2.06%	1	`y`
2.06%	1	`(cosh.f64 x)`
2.06%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 101 to 63 computations (37.6% saved)

regimes14.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(+.f64 1 (.f64 y (.f64 -1/6 y)))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(*.f64 (cosh.f64 x) 1)

Outputs
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 1/6 (.f64 y y))))

Calls

3 calls:

5.0ms	y
5.0ms	x
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
48.21%	1	`x`
48.21%	1	`y`
48.21%	1	`(cosh.f64 x)`

Compiler

Compiled 53 to 38 computations (28.3% saved)

regimes10.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(+.f64 1 (.f64 y (.f64 -1/6 y)))

Outputs
(+.f64 1 (.f64 x (.f64 x 1/2)))

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Error	Segments	Branch
49.61%	1	`x`
49.61%	1	`y`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.9b remaining (-2.7%)

Threshold costs -0.9b (-2.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Error	Segments	Branch
50.06%	1	`x`
50.06%	1	`y`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
16×	`+-commutative`
8×	`distribute-lft-neg-in`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	204
1	45	204
2	57	204
3	70	204
4	74	204
5	75	204

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (sin.f64 y)) (neg.f64 y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
(/.f64 (sin.f64 y) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(+.f64 1 (.f64 x (.f64 x 1/2)))
1

Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (-.f64 -1 (.f64 x (*.f64 x 1/2))) (sin.f64 y)) (neg.f64 y))
(/.f64 (.f64 (sin.f64 y) (-.f64 -1 (.f64 x (*.f64 x 1/2)))) (neg.f64 y))
(/.f64 (.f64 (sin.f64 y) (+.f64 -1 (.f64 x (*.f64 x -1/2)))) (neg.f64 y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(/.f64 (+.f64 (.f64 x (.f64 x 1/2)) 1) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
(.f64 (sin.f64 y) (/.f64 (+.f64 (.f64 x (*.f64 x 1/2)) 1) y))
(/.f64 (sin.f64 y) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(/.f64 (+.f64 (.f64 x (.f64 x 1/2)) 1) (+.f64 1 (.f64 1/6 (.f64 y y))))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(+.f64 (.f64 x (.f64 x 1/2)) 1)
1

Compiler

Compiled 87 to 64 computations (26.4% saved)

soundness0.0ms (0%)

end56.0ms (0.5%)

Compiler: Compiled 73 to 45 computations (38.4% saved)