Details

analyze191.0ms (1.9%)

Algorithm

1×

Search

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

sample3.8s (38.4%)

Results

1.0s	2118×	body	1024	infinite
954.0ms	2010×	body	1024	valid
903.0ms	5149×	body	256	valid
378.0ms	1091×	body	512	valid
290.0ms	1060×	body	512	infinite
254.0ms	1484×	body	256	infinite
5.0ms	6×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess61.0ms (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)

simplify97.0ms (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

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.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 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.0b	(cosh.f64 x)
✓	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 19 to 6 computations (68.4% saved)

series9.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

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

rewrite78.0ms (0.8%)

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	37
1	187	37
2	2470	37

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

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

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simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1080×	`associate-r`
1064×	`times-frac`
1050×	`associate-l`
838×	`associate-/l/`
762×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	579	7485
1	1470	7265

Stop Event

1×	node limit

Counts

261 → 335

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

eval66.0ms (0.7%)

Compiler: Compiled 5338 to 1896 computations (64.5% saved)

prune63.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	320	15	335
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	320	16	336

Error

Counts

336 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	14.5b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
	0.7b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
	35.8b	(/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 y))
▶	35.8b	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
	0.6b	(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y))))
	36.5b	(/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
	1.2b	(/.f64 (sin.f64 y) y)
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	1.1b	(.f64 (/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 2 (sqrt.f64 (*.f64 (cosh.f64 x) 2)))) (/.f64 (sin.f64 y) y))
	1.0b	(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (/.f64 (sin.f64 y) y))
▶	0.3b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	30.6b	(.f64 (cosh.f64 x) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 (*.f64 -1/6 y) y))))
▶	19.1b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
▶	30.1b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 381 to 266 computations (30.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(/.f64 (cosh.f64 x) (/.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
0.0ms	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	x	@	0	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
0.0ms	y	@	0	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`associate-*r/`
1540×	`associate-/l*`
1118×	`associate-*l/`
1022×	`*-commutative`
502×	`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 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))

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

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((#(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))))))))

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

940×	`distribute-rgt-in`
934×	`distribute-lft-in`
668×	`distribute-lft-neg-out`
614×	`distribute-rgt-neg-out`
438×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	4149
1	850	4063
2	3747	3987

Stop Event

1×	node limit

Counts

151 → 186

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)

Compiler

Compiled 10 to 6 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.3b	(*.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)

rewrite70.0ms (0.7%)

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 -.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)))))))

simplify97.0ms (1%)

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)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
	0.1b	(/.f64 (sin.f64 y) y)
✓	19.1b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) 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 (sin.f64 y) y) 3))
1.0ms	y	@	-inf	(pow.f64 (/.f64 (sin.f64 y) y) 3)
1.0ms	y	@	inf	(pow.f64 (/.f64 (sin.f64 y) y) 3)
0.0ms	y	@	-inf	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
0.0ms	y	@	0	(pow.f64 (/.f64 (sin.f64 y) y) 3)

rewrite102.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`associate-*r/`
1042×	`*-commutative`
900×	`associate-*l/`
746×	`associate-/r*`
532×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	256	49
2	3021	49

Stop Event

1×	node limit

Counts

3 → 417

Calls

Call 1

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

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 (/.f64 (sin.f64 y) y) (pow.f64 1 1/3))))) (#(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) (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/3))))) (#(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 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simplify193.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-/l/`
1172×	`associate-/r*`
1100×	`associate-/r/`
1054×	`associate-*r/`
946×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	981	12655
1	2548	12463

Stop Event

1×	node limit

Counts

465 → 575

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 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (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)))
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(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(-.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 (/.f64 y (sin.f64 y)) (cosh.f64 x)))
(/.f64 1 (/.f64 (.f64 2 (/.f64 y (sin.f64 y))) (.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 (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 2 (/.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (cosh.f64 x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) (cosh.f64 x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (.f64 2 (neg.f64 y)) (.f64 (cosh.f64 x) 2)))
(/.f64 (.f64 (cosh.f64 x) 2) (.f64 2 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) 2) (/.f64 (/.f64 y (sin.f64 y)) 1/2))
(/.f64 (.f64 (cosh.f64 x) 2) (/.f64 (.f64 2 (/.f64 y (sin.f64 y))) 1))
(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 (.f64 2 (/.f64 y (sin.f64 y))) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (cosh.f64 x) 2)) (cbrt.f64 (.f64 (cosh.f64 x) 2))) (/.f64 (.f64 2 (/.f64 y (sin.f64 y))) (cbrt.f64 (*.f64 (cosh.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 y))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 (cosh.f64 x) 2)) 2)
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 (*.f64 2 (/.f64 y (sin.f64 y))) (-.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 2 (/.f64 y (sin.f64 y))) (+.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 (sin.f64 y) (.f64 (cosh.f64 x) 2)) (+.f64 y y))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 (cosh.f64 x) 2)) (*.f64 2 (neg.f64 y)))
(/.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) (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) (/.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) -1) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))) y)
(/.f64 (.f64 1 (.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) 2))) 2)
(/.f64 (.f64 1 (neg.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) (neg.f64 y))
(/.f64 (.f64 1 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2))) (+.f64 y y))
(/.f64 (.f64 1 (.f64 (neg.f64 (sin.f64 y)) (.f64 (cosh.f64 x) 2))) (.f64 2 (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 (sin.f64 y) (cosh.f64 x)) 1) y)
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 1) (/.f64 y 1))
(/.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 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 y (sin.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) (sqrt.f64 (/.f64 (sin.f64 y) 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 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 y (sqrt.f64 (sin.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 (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 -1 (cosh.f64 x)) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (.f64 -2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) -2)
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) 2)) 1) 2)
(/.f64 (.f64 (neg.f64 (.f64 (sin.f64 y) (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 (neg.f64 (sin.f64 y)) (.f64 (cosh.f64 x) 2)) 1) (.f64 2 (neg.f64 y)))
(/.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 1 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 y (sin.f64 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 (neg.f64 (sin.f64 y))) (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) 1) (/.f64 y (sin.f64 y)))
(/.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) 1)) (/.f64 (sqrt.f64 y) (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 (cbrt.f64 (*.f64 y y)) 1)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.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))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 1) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 (.f64 y y))) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) -1) y)
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 (cbrt.f64 (.f64 y y)))) (cbrt.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))))
(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))
(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 (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 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(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))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (.f64 -1/2 (.f64 y y))))
(fma.f64 (pow.f64 y 4) 13/120 (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 6) -41/3024))))
(+.f64 (fma.f64 (pow.f64 y 6) -41/3024 (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) 13/120 1))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) 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)))
(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 (.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 (*.f64 1/24 (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 (.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 1/720 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (/.f64 (.f64 1/24 (sin.f64 y)) (/.f64 y (pow.f64 x 4))))))
(.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 (cosh.f64 x) (/.f64 (cbrt.f64 (*.f64 y y)) (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 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))
(.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 y) (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) y)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)))
(/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) (cosh.f64 x))
(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) (cosh.f64 x))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 1) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 (.f64 y y))) (neg.f64 (cbrt.f64 y)))
(/.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))
(/.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.f64 y))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (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 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) -1) y)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 (cbrt.f64 (.f64 y y)))) (cbrt.f64 y))
(/.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))
(/.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (.f64 (cbrt.f64 (*.f64 y y)) (neg.f64 (cbrt.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)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 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 (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)))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (neg.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 y (cosh.f64 x))))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) 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)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 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)))

localize56.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.1b	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
✓	0.1b	(/.f64 (sqrt.f64 y) (sin.f64 y))
✓	0.1b	(/.f64 (cosh.f64 x) (sqrt.f64 y))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (cosh.f64 x) (sqrt.f64 y))
2.0ms	y	@	inf	(/.f64 (cosh.f64 x) (sqrt.f64 y))
1.0ms	y	@	-inf	(/.f64 (cosh.f64 x) (sqrt.f64 y))
1.0ms	y	@	-inf	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
1.0ms	x	@	inf	(/.f64 (cosh.f64 x) (sqrt.f64 y))

rewrite129.0ms (1.3%)

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

Outputs

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

simplify139.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1678×	`distribute-lft-in`
730×	`*-commutative`
730×	`times-frac`
706×	`associate-/l*`
704×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	512	7172
1	1385	6922
2	6828	6922

Stop Event

1×	node limit

Counts

232 → 269

Calls

Call 1

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

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

eval428.0ms (4.3%)

Compiler: Compiled 27296 to 9642 computations (64.7% saved)

prune530.0ms (5.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1636	11	1647
Fresh	6	4	10
Picked	1	0	1
Done	3	2	5
Total	1646	17	1663

Error

Counts

1663 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	14.5b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
	36.3b	(/.f64 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
	35.7b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
	1.0b	(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
▶	36.2b	(/.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
	0.9b	(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 (.f64 2 (/.f64 y (sin.f64 y))) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
	1.2b	(/.f64 (sin.f64 y) y)
	0.7b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
▶	30.8b	(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) 1)
▶	35.8b	(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))
▶	1.1b	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) y))
	1.3b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	30.6b	(.f64 (cosh.f64 x) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 (*.f64 -1/6 y) y))))
✓	30.1b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 397 to 289 computations (27.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite108.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`associate-/r/`
922×	`unswap-sqr`
914×	`associate-/l/`
774×	`swap-sqr`
436×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	234	32
2	3241	32

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-/l/`
946×	`associate-/r/`
688×	`distribute-rgt-in`
684×	`distribute-lft-in`
478×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	4458
1	904	4346
2	3329	4264

Stop Event

1×	node limit

Counts

142 → 192

Calls

Call 1

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

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

localize10.0ms (0.1%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 44 to 23 computations (47.7% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`associate-*r/`
1388×	`associate-*l/`
978×	`associate-/r*`
732×	`associate-/l*`
288×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	269	52
2	3468	52

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (fma.f64 1/2 (*.f64 x x) 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 1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (fma.f64 1/2 (*.f64 x x) 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 1/2 (*.f64 x x) 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 1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (*.f64 1/2 (*.f64 x x))) (/.f64 (neg.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1))) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1))) (cbrt.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)))) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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simplify123.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1722×	`associate-/l*`
784×	`distribute-lft-neg-out`
780×	`times-frac`
622×	`associate-/l/`
534×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	9988
1	1359	9612
2	6576	9560

Stop Event

1×	node limit

Counts

240 → 285

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 1 y))
✓	0.1b	(/.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
	0.1b	(/.f64 (sqrt.f64 y) (sin.f64 y))

Compiler

Compiled 30 to 15 computations (50% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`*-commutative`
710×	`unswap-sqr`
698×	`associate-/r/`
658×	`swap-sqr`
610×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	227	24
2	3008	18

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(sqrt.f64 (/.f64 1 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 1 (/.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 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 y -1/2)) (*.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (pow.f64 y 1/4))))))) (#(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 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (*.f64 y (pow.f64 (sin.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 (cbrt.f64 (sin.f64 y)) (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (cbrt.f64 (pow.f64 y -1/2)) (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y -1/2)) (/.f64 (sin.f64 y) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))))) 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simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1326×	`associate-/r/`
1022×	`distribute-rgt-in`
1016×	`distribute-lft-in`
668×	`associate-l`
612×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	329	3909
1	844	3621
2	3831	3621

Stop Event

1×	node limit

Counts

153 → 202

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.1b	(sqrt.f64 (/.f64 (cosh.f64 x) y))
✓	0.1b	(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))
✓	0.2b	(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)

Compiler

Compiled 35 to 12 computations (65.7% saved)

series9.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)
1.0ms	y	@	-inf	(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-*r/`
1028×	`*-commutative`
880×	`associate-*l/`
754×	`associate-/r*`
630×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	251	47
2	2849	47

Stop Event

1×	node limit

Counts

3 → 303

Calls

Call 1

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

Outputs

((#(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) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (*.f64 (pow.f64 (pow.f64 y -1) 1/2) (pow.f64 (pow.f64 y -1) 1/2)))))) (#(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 (/.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 (pow.f64 (/.f64 (cosh.f64 x) y) 1/4) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (/.f64 (cosh.f64 x) y) 1/4)))))) (#(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) 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(sin.f64 y) y)) 3) 1/3)))) (#(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 neg.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (neg.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 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) 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 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) 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))))))))

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

simplify136.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1422×	`associate-/l*`
800×	`associate-/l/`
794×	`associate-r`
724×	`associate-l`
706×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	10361
1	1845	9907
2	7539	9907

Stop Event

1×	node limit

Counts

351 → 457

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 (-.f64 (.f64 5/48 (/.f64 1 y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (pow.f64 x 4)) (.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 (-.f64 (.f64 5/48 (/.f64 1 y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))))
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) 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)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 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 (.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))
(sqrt.f64 (/.f64 1 y))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 y)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 y) (.f64 (-.f64 (.f64 1/24 (/.f64 1 y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (pow.f64 x 4)))) (+.f64 (.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 y) (.f64 (-.f64 (.f64 1/24 (/.f64 1 y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (pow.f64 x 4)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 (.f64 (sqrt.f64 y) (.f64 (-.f64 (.f64 1/720 (/.f64 1 y)) (.f64 1/4 (-.f64 (.f64 1/24 (/.f64 1 y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)))) (pow.f64 x 6)))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2))
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(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2))
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(/.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 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) (sqrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (cosh.f64 x)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(/.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) (.f64 (cosh.f64 x) 2)) (+.f64 y y))
(/.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 y (neg.f64 (cosh.f64 x))))
(/.f64 (.f64 1 (.f64 (cosh.f64 x) (sin.f64 y))) y)
(/.f64 (.f64 1 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x)))) (neg.f64 y))
(/.f64 (.f64 (.f64 (cosh.f64 x) (sin.f64 y)) 1) y)
(/.f64 (.f64 (.f64 (cosh.f64 x) (sin.f64 y)) 1) (/.f64 y 1))
(/.f64 (.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cosh.f64 x) (sin.f64 y)) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) 1) (sqrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) 1) (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) (sqrt.f64 (neg.f64 (cosh.f64 x)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) (neg.f64 (sqrt.f64 (cosh.f64 x)))) (neg.f64 (sqrt.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 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 1 (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) (sqrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (.f64 1 (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(/.f64 (.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (cosh.f64 x))) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (cosh.f64 x)) (sin.f64 y)) (/.f64 y (sqrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sin.f64 y)) (/.f64 y (cbrt.f64 (cosh.f64 x))))
(/.f64 (.f64 (.f64 (cosh.f64 x) 2) (sin.f64 y)) (+.f64 y y))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sin.f64 y)) (sqrt.f64 y))
(/.f64 (.f64 (/.f64 (.f64 (cosh.f64 x) 2) y) (sin.f64 y)) 2)
(/.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 y (neg.f64 (cosh.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) 1) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) (/.f64 y (cosh.f64 x)))
(/.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 (/.f64 y 2) (cosh.f64 x))) 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) 1)) (/.f64 (sqrt.f64 y) (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) 1)) (/.f64 (cbrt.f64 y) (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 (cosh.f64 x) (sin.f64 y)) 1) y)
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (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 (/.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))
(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)
(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))))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) 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 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) 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))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))) 1)
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1)
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/4) (pow.f64 (/.f64 (cosh.f64 x) y) 1/4))
(*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (pow.f64 y -1)))
(*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (pow.f64 y -1) 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(*.f64 (sqrt.f64 (pow.f64 y -1)) (sqrt.f64 (cosh.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (pow.f64 y -1) 1/2) (sqrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 (cosh.f64 x)))))
(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (.f64 (sqrt.f64 y) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (neg.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 y) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 1 (sqrt.f64 (neg.f64 (cosh.f64 x)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/4) (sqrt.f64 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (neg.f64 (cosh.f64 x)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (neg.f64 (cosh.f64 x)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 1 1/2) (neg.f64 (sqrt.f64 (cosh.f64 x)))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (cosh.f64 x))) 1) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))) 1) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 (cosh.f64 x) y) 1/4)) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (sqrt.f64 (pow.f64 y -1))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (pow.f64 (pow.f64 y -1) 1/2)) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1)
(pow.f64 (/.f64 (cosh.f64 x) y) 1/2)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3/2) 1/3)
(neg.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (neg.f64 (sqrt.f64 y))))
(fabs.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))

Outputs
(/.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 (.f64 (-.f64 (.f64 5/48 (/.f64 1 y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (pow.f64 x 4)) (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 1 y) (fma.f64 (-.f64 (/.f64 5/48 y) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (pow.f64 x 4) (.f64 1/2 (/.f64 (*.f64 x x) y))))
(+.f64 (/.f64 1 y) (fma.f64 (-.f64 (/.f64 5/48 y) (.f64 (/.f64 1 y) 1/16)) (pow.f64 x 4) (/.f64 (.f64 1/2 (*.f64 x x)) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (.f64 (-.f64 (.f64 5/48 (/.f64 1 y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))))
(+.f64 (/.f64 1 y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 (-.f64 (/.f64 5/48 y) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (pow.f64 x 4) (.f64 1/2 (/.f64 (*.f64 x x) y)))))
(+.f64 (/.f64 1 y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 (-.f64 (/.f64 5/48 y) (.f64 (/.f64 1 y) 1/16)) (pow.f64 x 4) (/.f64 (.f64 1/2 (*.f64 x x)) y))))
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2)
(/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) 1/2)
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(*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (cosh.f64 x)))
(/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (cosh.f64 x)))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (.f64 (sqrt.f64 y) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (.f64 (sqrt.f64 y) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (neg.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 y) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 y)) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (cosh.f64 x))) (/.f64 (fabs.f64 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 y)))
(*.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (*.f64 1 (sqrt.f64 (neg.f64 (cosh.f64 x)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/4) (sqrt.f64 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 (sqrt.f64 y)) (pow.f64 (/.f64 (cosh.f64 x) y) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (sqrt.f64 y))) (pow.f64 (/.f64 (cosh.f64 x) y) 1/4))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (neg.f64 (cosh.f64 x)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (/.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 1 (sqrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (cosh.f64 x)))
(/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (cosh.f64 x)))
(/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (neg.f64 (cosh.f64 x)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (pow.f64 1 1/2) (neg.f64 (sqrt.f64 (cosh.f64 x)))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 y)))
(*.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (cosh.f64 x))) 1) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))) 1) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 y)))
(*.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 (cosh.f64 x) y) 1/4)) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 (sqrt.f64 y)) (pow.f64 (/.f64 (cosh.f64 x) y) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (sqrt.f64 y))) (pow.f64 (/.f64 (cosh.f64 x) y) 1/4))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (sqrt.f64 (pow.f64 y -1))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 y))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (fabs.f64 (pow.f64 y -1/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (.f64 (sqrt.f64 y) (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (pow.f64 (pow.f64 y -1) 1/2)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 y))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (fabs.f64 (pow.f64 y -1/2)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (/.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(/.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (cosh.f64 x)))
(/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y))
(/.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (fabs.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1)
(sqrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (cosh.f64 x) y) 1/2)
(sqrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/4) 2)
(sqrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) 3)
(sqrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3/2))
(neg.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (neg.f64 (sqrt.f64 y))))
(/.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 y)))
(*.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y)))
(fabs.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))
(sqrt.f64 (/.f64 (cosh.f64 x) y))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(sqrt.f64 (/.f64 (cosh.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)))))
(sqrt.f64 (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(sqrt.f64 (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(sqrt.f64 (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(sqrt.f64 (/.f64 (cosh.f64 x) y))

eval332.0ms (3.3%)

Compiler: Compiled 24478 to 10896 computations (55.5% saved)

prune356.0ms (3.6%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	1403	15	1418
Fresh	7	3	10
Picked	1	0	1
Done	2	4	6
Total	1413	22	1435

Error

Counts

1435 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	15.2b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
▶	1.7b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
	30.4b	(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
▶	30.1b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 y))
	37.6b	(/.f64 (/.f64 (cosh.f64 x) y) (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))))
▶	36.3b	(/.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
	1.3b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	1.0b	(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
	36.5b	(/.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) 3))
	1.2b	(/.f64 (sin.f64 y) y)
▶	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	31.4b	(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
▶	31.4b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	36.1b	(*.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	1.3b	(*.f64 (/.f64 1 y) (sin.f64 y))
✓	30.8b	(.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) 1)
	36.2b	(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 1 y)) 2))
✓	1.1b	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) y))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	30.1b	(*.f64 (cosh.f64 x) 1)
	19.9b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	30.9b	1

Compiler

Compiled 409 to 307 computations (24.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
	0.1b	(/.f64 1 (sin.f64 y))
✓	0.1b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
✓	0.2b	(*.f64 (/.f64 1 (sin.f64 y)) y)

Compiler

Compiled 28 to 14 computations (50% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite70.0ms (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	32
1	227	32
2	2988	32

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1170×	`unswap-sqr`
544×	`distribute-rgt-in`
536×	`distribute-lft-in`
452×	`associate-/l*`
396×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	4119
1	927	4075
2	3685	3995

Stop Event

1×	node limit

Counts

167 → 206

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
✓	0.4b	(.f64 -1/6 (.f64 y y))

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`add-sqr-sqrt`
1540×	`*-un-lft-identity`
1448×	`add-cube-cbrt`
1438×	`add-cbrt-cube`
1428×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	165	28
2	2006	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/6 (*.f64 y y) 1) 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 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))))) (#(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 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/6 (*.f64 y y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 -1/6 (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y 4) 1/36) (-.f64 1 (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (-.f64 1 (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 1/6 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 -1/6 (*.f64 y y))) (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 1/6 (*.f64 y y)))) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36)) (-.f64 1 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216)) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216)) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (-.f64 1 (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 y 4) 1/36) 1) (-.f64 (*.f64 -1/6 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (neg.f64 (-.f64 1 (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 1/6 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (*.f64 y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) -1/6 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 -1/6)) (*.f64 y (sqrt.f64 -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 y) y 1)))))

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1520×	`associate-/r*`
1062×	`associate-r`
798×	`associate-l`
668×	`distribute-lft-neg-in`
634×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1500
1	251	1408
2	840	1340
3	3899	1340

Stop Event

1×	node limit

Counts

70 → 63

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))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(-.f64 (fma.f64 -1/6 (*.f64 y y) 1) 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 (.f64 (pow.f64 (.f64 y y) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) -1/216))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(-.f64 (+.f64 1 (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(.f64 1 (fma.f64 -1/6 (.f64 y y) 1))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) 1)
(.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))
(.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (-.f64 1 (.f64 -1/6 (.f64 y y)))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y))))))
(/.f64 1 (/.f64 (-.f64 1 (.f64 -1/6 (.f64 y y))) (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y)))) (+.f64 1 (.f64 (pow.f64 (*.f64 y y) 3) -1/216))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (-.f64 1 (.f64 -1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (*.f64 y y)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1) (-.f64 (.f64 -1/6 (*.f64 y y)) 1))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (neg.f64 (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(/.f64 (neg.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216))) (neg.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (*.f64 y y))))))
(pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 1 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 -1/6 (*.f64 y y))) 1)
(fma.f64 (*.f64 -1/6 y) y 1)

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))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(-.f64 (fma.f64 -1/6 (*.f64 y y) 1) 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 (.f64 (pow.f64 (.f64 y y) 3) -1/216) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/216))
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(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 (.f64 (pow.f64 (.f64 y y) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/216))
(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))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (*.f64 y y))) 1))
(.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))
(-.f64 (+.f64 1 (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(.f64 1 (fma.f64 -1/6 (.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (fma.f64 -1/6 (.f64 y y) 1) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (-.f64 1 (.f64 -1/6 (.f64 y y)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y))))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (*.f64 y y) 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))
(/.f64 1 (/.f64 (-.f64 1 (.f64 -1/6 (.f64 y y))) (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y)))) (+.f64 1 (.f64 (pow.f64 (*.f64 y y) 3) -1/216))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (*.f64 y y) 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (-.f64 1 (.f64 -1/6 (*.f64 y y))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (*.f64 y y)))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (*.f64 y y) 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (*.f64 y y) 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))
(/.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1) (-.f64 (.f64 -1/6 (*.f64 y y)) 1))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (neg.f64 (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(/.f64 (neg.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216))) (neg.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (*.f64 y y))))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (*.f64 y y) 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))
(pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log1p.f64 (.f64 y (.f64 -1/6 y))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log1p.f64 (.f64 y (.f64 -1/6 y))))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 1 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 -1/6 (*.f64 y y))) 1)
(fma.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) (cbrt.f64 (*.f64 (pow.f64 y 4) 1/36)) 1)
(fma.f64 (cbrt.f64 (.f64 y (.f64 -1/6 y))) (cbrt.f64 (*.f64 (pow.f64 y 4) 1/36)) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.0b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 y))
	0.0b	(/.f64 (cosh.f64 x) y)

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`associate-/l/`
1178×	`associate-/r/`
966×	`*-commutative`
724×	`unswap-sqr`
574×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	213	5
2	2947	5

Stop Event

1×	node limit

Counts

1 → 87

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1548×	`distribute-rgt-in`
1542×	`distribute-lft-in`
948×	`distribute-lft-neg-out`
676×	`associate-/l*`
634×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	224	2053
1	609	1877
2	3716	1877

Stop Event

1×	node limit

Counts

111 → 126

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))
✓	0.3b	(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))

rewrite89.0ms (0.9%)

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))))))))

simplify76.0ms (0.8%)

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))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
	0.1b	(/.f64 (sqrt.f64 y) (sin.f64 y))
✓	0.1b	(/.f64 1 (sqrt.f64 y))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series6.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(/.f64 1 (sqrt.f64 y))
0.0ms	y	@	-inf	(/.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
0.0ms	y	@	0	(/.f64 1 (sqrt.f64 y))
0.0ms	y	@	inf	(/.f64 1 (sqrt.f64 y))
0.0ms	y	@	0	(/.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))

rewrite103.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`*-commutative`
742×	`unswap-sqr`
736×	`associate-/r/`
652×	`associate-/l/`
618×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	209	24
2	2809	18

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

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

Outputs

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((#(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 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(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 (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 (sqrt.f64 (pow.f64 y -1/2)) (*.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 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(#(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 pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 -1 y) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (neg.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (/.f64 -1 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.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 cbrt.f64 (/.f64 (/.f64 1 (pow.f64 y 3/2)) (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 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 log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1082×	`unswap-sqr`
882×	`associate-/r/`
576×	`distribute-rgt-in`
566×	`distribute-lft-in`
552×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	3900
1	850	3640
2	3410	3532

Stop Event

1×	node limit

Counts

148 → 209

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

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

eval375.0ms (3.8%)

Compiler: Compiled 16756 to 7823 computations (53.3% saved)

prune461.0ms (4.6%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1118	10	1128
Fresh	4	9	13
Picked	1	0	1
Done	3	5	8
Total	1126	24	1150

Error

Counts

1150 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3)
	15.2b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
✓	1.7b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
	2.5b	(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
	30.8b	(/.f64 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) y) (/.f64 1 y))
	36.2b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	30.4b	(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
✓	30.1b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 y))
	37.6b	(/.f64 (/.f64 (cosh.f64 x) y) (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))))
	1.3b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	1.1b	(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (*.f64 (/.f64 1 (sin.f64 y)) y))
	1.2b	(/.f64 (sin.f64 y) y)
	1.2b	(/.f64 1 (/.f64 y (sin.f64 y)))
	31.4b	(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 (.f64 -1/6 y) y)))
	31.4b	(+.f64 1 (.f64 y (.f64 -1/6 y)))
	30.8b	(+.f64 1 (.f64 1/2 (.f64 x x)))
✓	31.4b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	1.3b	(*.f64 (/.f64 1 y) (sin.f64 y))
	36.2b	(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 1 y)) 2))
✓	1.1b	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) y))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	30.1b	(cosh.f64 x)
	19.9b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	30.9b	1

Compiler

Compiled 241 to 179 computations (25.7% saved)

regimes152.0ms (1.5%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

5 calls:

61.0ms	(/.f64 (sin.f64 y) y)
30.0ms	y
23.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
22.0ms	x
4.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
0.1b	1	`(cosh.f64 x)`
0.1b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 527 to 247 computations (53.1% saved)

regimes37.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(/.f64 (sin.f64 y) y)
9.0ms	y
9.0ms	x
2.0ms	(cosh.f64 x)

Results

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

Compiler

Compiled 156 to 90 computations (42.3% saved)

regimes31.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	y
8.0ms	x
7.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`y`
1.1b	1	`(cosh.f64 x)`
1.1b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 118 to 72 computations (39% saved)

regimes30.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	x
8.0ms	y
7.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.2b	1	`x`
1.2b	1	`y`
1.2b	1	`(cosh.f64 x)`
1.2b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 106 to 66 computations (37.7% saved)

regimes15.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(cosh.f64 x)

Calls

3 calls:

6.0ms	y
5.0ms	x
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
30.1b	1	`x`
30.1b	1	`y`
30.1b	1	`(cosh.f64 x)`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes12.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Error	Segments	Branch
30.8b	1	`x`
30.8b	1	`y`

Compiler

Compiled 52 to 36 computations (30.8% saved)

regimes6.0ms (0.1%)

Accuracy

Total -1.0b remaining (-3.1%)

Threshold costs -1.0b (-3.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
30.9b	1	`x`
30.9b	1	`y`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	127
1	24	127

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 59 to 43 computations (27.1% saved)

soundness0.0ms (0%)

end36.0ms (0.4%)

Compiler: Compiled 47 to 23 computations (51.1% saved)