Details

analyze195.0ms (2%)

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 (38.1%)

Results

1.2s	2131×	body	1024	valid
915.0ms	2039×	body	1024	infinite
889.0ms	5071×	body	256	valid
313.0ms	964×	body	512	infinite
239.0ms	1048×	body	512	valid
227.0ms	1420×	body	256	infinite
6.0ms	6×	body	2048	valid
0.0ms	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)

simplify100.0ms (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 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series9.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

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

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

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simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

205 → 268

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) 1))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) 1))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 -1 y)))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (sin.f64 y) (/.f64 (+.f64 y y) (*.f64 (cosh.f64 x) 2)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (cosh.f64 x)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
(/.f64 1 (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (.f64 (cosh.f64 x) 2)))
(/.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (*.f64 (sin.f64 y) (sqrt.f64 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (cosh.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (*.f64 (sin.f64 y) (cbrt.f64 (cosh.f64 x)))))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 y 1))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) (cosh.f64 x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (.f64 (neg.f64 y) 2) (.f64 (cosh.f64 x) 2)))
(/.f64 (.f64 (cosh.f64 x) 2) (.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (*.f64 (cosh.f64 x) 2) (/.f64 (/.f64 y (sin.f64 y)) 1/2))
(/.f64 (.f64 (cosh.f64 x) 2) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) 1))
(/.f64 2 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (cosh.f64 x)))
(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (/.f64 y (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (cosh.f64 x) 2)) (cbrt.f64 (.f64 (cosh.f64 x) 2))) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (cbrt.f64 (*.f64 (cosh.f64 x) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) (/.f64 y (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(/.f64 (/.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) 2)) y) 2)
(/.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) 2)) (+.f64 y y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))) (/.f64 y (.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (sin.f64 y)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 (*.f64 (/.f64 y (sin.f64 y)) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 (cosh.f64 x) 2)) (*.f64 (neg.f64 y) 2))
(/.f64 (.f64 -2 (cosh.f64 x)) (.f64 (/.f64 y (sin.f64 y)) -2))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 -2 (cosh.f64 x))) -2)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) 1)) y)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (cosh.f64 x) -1) (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (.f64 1 (/.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)) y)) 2)
(/.f64 (.f64 1 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2))) (+.f64 y y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)))) (cbrt.f64 y))
(/.f64 (.f64 1 (.f64 (neg.f64 (sin.f64 y)) (.f64 (cosh.f64 x) 2))) (.f64 (neg.f64 y) 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) (sqrt.f64 y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (cosh.f64 x)) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (*.f64 (cosh.f64 x) 2))) (cbrt.f64 2))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) 1) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (neg.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) 1) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (neg.f64 (sin.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sin.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (sin.f64 y)) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (cosh.f64 x)) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cosh.f64 x)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cosh.f64 x)) (cbrt.f64 y))
(/.f64 (*.f64 -1 (cosh.f64 x)) (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (.f64 (.f64 -2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) -2)
(/.f64 (.f64 (/.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)) y) 1) 2)
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) 1) (neg.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)) 1) (+.f64 y y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) 1) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 (cosh.f64 x) 2)) 1) (.f64 (neg.f64 y) 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) 2)) (/.f64 1 y)) 2)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (sqrt.f64 (sin.f64 y)))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) -1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (cosh.f64 x)))
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))

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

eval130.0ms (1.3%)

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

prune54.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	259	9	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	260	9	269

Error

Counts

269 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	19.0b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
▶	31.8b	(/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (cosh.f64 x))) (sqrt.f64 y))
	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
	2.0b	(/.f64 (sin.f64 y) y)
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
	33.0b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y))))
▶	20.7b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
▶	33.1b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 184 to 126 computations (31.5% saved)

localize38.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite78.0ms (0.8%)

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

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

simplify104.0ms (1%)

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

localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite113.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

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

simplify132.0ms (1.3%)

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

localize17.0ms (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	(/.f64 (sin.f64 y) y)
✓	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
✓	20.7b	(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)
0.0ms	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)

rewrite107.0ms (1.1%)

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 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 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y 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 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simplify142.0ms (1.4%)

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)))
(+.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 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (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 (/.f64 (sin.f64 y) y) (pow.f64 1 1/3))
(*.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) (cbrt.f64 (.f64 y y))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/3))
(*.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 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (.f64 y y))))
(*.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)) (cbrt.f64 (.f64 y y))) (/.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)) (cbrt.f64 (.f64 y 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 (/.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) (cbrt.f64 (.f64 y y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/3) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3))
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(/.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))))
(.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 (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 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 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.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)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(/.f64 (.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(/.f64 (.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
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(/.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)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 8 computations (76.5% saved)

series14.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`associate-/r/`
938×	`swap-sqr`
930×	`associate-/l/`
580×	`distribute-lft-neg-in`
522×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	239	61
2	3483	61

Stop Event

1×	node limit

Counts

3 → 227

Calls

Call 1

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

Outputs

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

simplify143.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-r`
888×	`*-commutative`
804×	`associate-/l*`
770×	`associate-l`
702×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	589	9857
1	1634	8417
2	7237	8417

Stop Event

1×	node limit

Counts

275 → 331

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 1 y)) (sin.f64 y))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sin.f64 y) (pow.f64 x 2)))) (.f64 (sqrt.f64 (/.f64 1 y)) (sin.f64 y)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sin.f64 y) (pow.f64 x 2)))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sin.f64 y) (pow.f64 x 4)))) (*.f64 (sqrt.f64 (/.f64 1 y)) (sin.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sin.f64 y) (pow.f64 x 2)))) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sin.f64 y) (pow.f64 x 6)))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sin.f64 y) (pow.f64 x 4)))) (.f64 (sqrt.f64 (/.f64 1 y)) (sin.f64 y)))))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (sqrt.f64 (/.f64 1 y))))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (sqrt.f64 (/.f64 1 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 (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 y)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (sqrt.f64 y))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (+.f64 (.f64 5/24 (.f64 (sqrt.f64 y) (pow.f64 x 4))) (sqrt.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (+.f64 (.f64 -61/720 (.f64 (sqrt.f64 y) (pow.f64 x 6))) (+.f64 (.f64 5/24 (.f64 (sqrt.f64 y) (pow.f64 x 4))) (sqrt.f64 y))))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 y)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 y)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 y)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 y)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 y)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 y)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 y)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)))) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) 1)
(.f64 1 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))))
(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))))))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sin.f64 y))
(.f64 (pow.f64 y -1/2) (.f64 (sin.f64 y) (cosh.f64 x)))
(.f64 (pow.f64 y -1/2) (.f64 (/.f64 (sin.f64 y) 1) (cosh.f64 x)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) (sqrt.f64 y)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) (sqrt.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) (sqrt.f64 y))))))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) (sqrt.f64 y)))) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) (sqrt.f64 y))))) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) (sqrt.f64 y))))))
(.f64 (.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 1) (cosh.f64 x))
(.f64 (.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 (sqrt.f64 y))) (neg.f64 (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 y 1/4)) (/.f64 (cosh.f64 x) (pow.f64 y 1/4)))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (cosh.f64 x) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 y (pow.f64 (cosh.f64 x) 2)))) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)))))
(.f64 (/.f64 1 (neg.f64 (sqrt.f64 y))) (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))))
(.f64 -1 (.f64 (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) (sqrt.f64 y))))
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(*.f64 (cbrt.f64 (/.f64 y (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 y (pow.f64 (cosh.f64 x) 2))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (sqrt.f64 y)) (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 1 (cosh.f64 x)) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 -1 (cosh.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x))))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 2 (.f64 2 (cosh.f64 x))))
(.f64 (/.f64 1 (.f64 2 (cosh.f64 x))) (*.f64 (sqrt.f64 y) 2))
(.f64 (/.f64 (sqrt.f64 y) (.f64 2 (cosh.f64 x))) 2)
(*.f64 -1 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 y (pow.f64 (cosh.f64 x) 2)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)))))
(*.f64 (/.f64 -1 (cosh.f64 x)) (neg.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 y 1/4) 1) (/.f64 (pow.f64 y 1/4) (cosh.f64 x)))
(*.f64 (/.f64 (pow.f64 y 1/4) (cosh.f64 x)) (pow.f64 y 1/4))
(*.f64 (/.f64 (cbrt.f64 y) 1) (/.f64 (cbrt.f64 (sqrt.f64 y)) (cosh.f64 x)))
(*.f64 (/.f64 (pow.f64 y 1/4) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (pow.f64 y 1/4) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))
(*.f64 (/.f64 1 (pow.f64 y -1/2)) (/.f64 1 (cosh.f64 x)))
(.f64 (/.f64 (/.f64 (sqrt.f64 y) 1) 1) (/.f64 2 (.f64 2 (cosh.f64 x))))
(.f64 (/.f64 (sqrt.f64 y) (.f64 -2 (cosh.f64 x))) -2)
(*.f64 (/.f64 1 (/.f64 (cosh.f64 x) (pow.f64 y 1/4))) (pow.f64 y 1/4))
(*.f64 (/.f64 1 (/.f64 (cosh.f64 x) (cbrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 y (pow.f64 (cosh.f64 x) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 y) (cosh.f64 x)) (cbrt.f64 (sqrt.f64 y)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (.f64 -2 (cosh.f64 x))) 2)
(.f64 (/.f64 (/.f64 (sqrt.f64 y) 1) (.f64 2 (cosh.f64 x))) 2)
(.f64 (/.f64 (/.f64 (sqrt.f64 y) 1) (.f64 -2 (cosh.f64 x))) -2)
(.f64 (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x))))) (sqrt.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x)))))) (cbrt.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))) (sqrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 y (pow.f64 (cosh.f64 x) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))
(pow.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) -1)
(neg.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 x))) 1))
(sqrt.f64 (/.f64 y (pow.f64 (cosh.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3/2) (pow.f64 (cosh.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x))))

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

eval412.0ms (4.1%)

Compiler: Compiled 23407 to 8054 computations (65.6% saved)

prune510.0ms (5.1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1407	5	1412
Fresh	2	2	4
Picked	1	0	1
Done	0	4	4
Total	1410	11	1421

Error

Counts

1421 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	32.8b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
▶	2.0b	(/.f64 (sin.f64 y) y)
	18.9b	(/.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
▶	2.1b	(*.f64 (sin.f64 y) (/.f64 1 y))
▶	1.7b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	20.7b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	33.1b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 184 to 130 computations (29.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	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	y	@	inf	(/.f64 1 (sin.f64 y))
0.0ms	y	@	0	(/.f64 1 (sin.f64 y))
0.0ms	x	@	0	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
0.0ms	y	@	0	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))

rewrite74.0ms (0.7%)

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

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

simplify76.0ms (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))
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(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 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 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 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 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)))
(.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))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(pow.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)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 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 (/.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)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(pow.f64 (*.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`add-sqr-sqrt`
1440×	`*-un-lft-identity`
1336×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1300×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	158	11
2	1864	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

34 → 36

Calls

Call 1

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

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

localize35.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
✓	0.2b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	7.4b	(/.f64 (*.f64 x x) y)

Compiler

Compiled 51 to 22 computations (56.9% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite105.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	300	77
2	4118	77

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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

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simplify170.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1668×	`associate-/r/`
794×	`associate-r`
652×	`associate-l`
584×	`+-commutative`
510×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	507	11132
1	1432	10630
2	6253	10630

Stop Event

1×	node limit

Counts

250 → 303

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	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	y	@	0	(*.f64 (/.f64 1 (sin.f64 y)) y)
0.0ms	x	@	-inf	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
0.0ms	x	@	inf	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))

rewrite110.0ms (1.1%)

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

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

simplify105.0ms (1.1%)

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

eval403.0ms (4%)

Compiler: Compiled 18530 to 8692 computations (53.1% saved)

prune197.0ms (2%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	928	10	938
Fresh	1	1	2
Picked	0	1	1
Done	3	5	8
Total	932	17	949

Error

Counts

949 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.3b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
	32.8b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	2.1b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
▶	1.7b	(/.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y))) (/.f64 1 (sin.f64 y)))
▶	1.6b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
✓	2.0b	(/.f64 (sin.f64 y) y)
✓	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
▶	2.1b	(/.f64 1 (/.f64 y (sin.f64 y)))
	33.9b	(+.f64 1 (.f64 x (.f64 x 1/2)))
▶	34.9b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	33.7b	(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	2.1b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	1.7b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	33.1b	(*.f64 (cosh.f64 x) 1)
	22.4b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	34.2b	1

Compiler

Compiled 273 to 197 computations (27.8% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

98 → 134

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
✓	0.2b	(.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 -1/6 (.f64 y y))
0.0ms	y	@	0	(+.f64 1 (.f64 -1/6 (.f64 y y)))

rewrite56.0ms (0.6%)

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)))))

simplify60.0ms (0.6%)

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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1600×	`*-un-lft-identity`
1488×	`add-cube-cbrt`
1470×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	163	11
2	2044	11

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1118×	`distribute-rgt-in`
1118×	`distribute-lft-in`
960×	`associate-+r+`
856×	`associate-+l+`
570×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	747
1	295	725
2	1075	693
3	4227	693

Stop Event

1×	node limit

Counts

51 → 57

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
	0.1b	(/.f64 1 (sin.f64 y))
✓	0.2b	(/.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y))) (/.f64 1 (sin.f64 y)))
	7.4b	(/.f64 (*.f64 x x) y)

Compiler

Compiled 57 to 26 computations (54.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`associate-/r/`
796×	`associate-/l/`
682×	`distribute-rgt-in`
640×	`distribute-lft-in`
332×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	326	37
2	4563	37

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1618×	`distribute-lft-in`
1564×	`associate-/l*`
1286×	`associate-*r/`
1158×	`associate-*l/`
1106×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	230	4891
1	664	4325
2	2652	4325

Stop Event

1×	node limit

Counts

83 → 125

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

series8.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
0.0ms	y	@	-inf	(sqrt.f64 (/.f64 (sin.f64 y) y))
0.0ms	y	@	inf	(sqrt.f64 (/.f64 (sin.f64 y) y))
0.0ms	y	@	0	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1596×	`*-un-lft-identity`
1490×	`add-cube-cbrt`
1474×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	187	26
2	2038	26

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1122×	`times-frac`
964×	`associate-/l*`
944×	`associate-*r/`
848×	`unswap-sqr`
798×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	1547
1	404	1475
2	1549	1467

Stop Event

1×	node limit

Counts

83 → 109

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 -1/12 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 y 2)) (.f64 1/1440 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -1/24192 (pow.f64 y 6)) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))))
(-.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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.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 (neg.f64 y)))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) 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 (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 (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 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 -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 (sqrt.f64 (/.f64 (sin.f64 y) y)))) 1)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(*.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/2))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1))
(log1p.f64 (expm1.f64 (sqrt.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 (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 1/120 (pow.f64 y 4) (.f64 (.f64 -1/6 y) y)) (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))))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/12))
(fma.f64 (*.f64 y y) -1/12 1)
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 y 2)) (.f64 1/1440 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/12 (.f64 y y) (.f64 (pow.f64 y 4) 1/1440)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/1440 (.f64 y (.f64 y -1/12))))
(+.f64 (fma.f64 (.f64 y y) -1/12 1) (.f64 (pow.f64 y 4) 1/1440))
(+.f64 1 (+.f64 (.f64 -1/24192 (pow.f64 y 6)) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/24192 (pow.f64 y 6) (fma.f64 -1/12 (.f64 y y) (.f64 (pow.f64 y 4) 1/1440))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/24192 (fma.f64 (pow.f64 y 4) 1/1440 (.f64 y (.f64 y -1/12)))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/24192 (fma.f64 (.f64 y y) -1/12 (.f64 (pow.f64 y 4) 1/1440))))
(-.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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.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 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (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)) (/.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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 4))
(*.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 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 4))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sin.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)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(/.f64 (sin.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 (/.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) (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 y) 2))
(/.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 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.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) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (sin.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 (sqrt.f64 (/.f64 (sin.f64 y) y)))) 1)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/2))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (fabs.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 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (fabs.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 1 (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) 1/2)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) 2)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 3)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(fabs.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1/2))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(sqrt.f64 (/.f64 (sin.f64 y) y))

eval312.0ms (3.1%)

Compiler: Compiled 20028 to 10931 computations (45.4% saved)

prune245.0ms (2.4%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	961	8	969
Fresh	1	5	6
Picked	1	0	1
Done	2	8	10
Total	965	21	986

Error

Counts

986 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	20.2b	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2)
	1.7b	(/.f64 (/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y) (/.f64 1 (sin.f64 y)))
	32.8b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	2.1b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	33.1b	(/.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y))) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
	1.7b	(/.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (neg.f64 (/.f64 x (/.f64 (neg.f64 y) x))))) (/.f64 1 (sin.f64 y)))
✓	1.6b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
	33.1b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 (.f64 y y) 1/6)))
✓	2.0b	(/.f64 (sin.f64 y) y)
✓	2.1b	(/.f64 1 (/.f64 y (sin.f64 y)))
	33.3b	(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
	2.2b	(/.f64 1 (*.f64 (/.f64 1 (sin.f64 y)) y))
	34.9b	(+.f64 1 (.f64 y (.f64 -1/6 y)))
	33.9b	(+.f64 1 (.f64 x (.f64 x 1/2)))
✓	34.9b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	2.1b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	1.7b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	33.1b	(*.f64 (cosh.f64 x) 1)
	22.4b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	34.2b	1

Compiler

Compiled 230 to 172 computations (25.2% saved)

regimes66.0ms (0.7%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	y
15.0ms	x
13.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
13.0ms	(/.f64 (sin.f64 y) y)
3.0ms	(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 332 to 166 computations (50% saved)

regimes65.0ms (0.7%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	y
9.0ms	x
8.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

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

Compiler

Compiled 193 to 120 computations (37.8% saved)

regimes73.0ms (0.7%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	y
12.0ms	(/.f64 (sin.f64 y) y)
7.0ms	x
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
2.0b	1	`x`
0.9b	3	`y`
2.0b	1	`(cosh.f64 x)`
0.9b	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 119 to 79 computations (33.6% saved)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	2.759152019802225e-110	3.129140881685715e-110
20.0ms	-0.006274134022937798	-2.699988748725567e-11

Results

24.0ms

176×

body

256

valid

Compiler

Compiled 168 to 131 computations (22% saved)

regimes44.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	y
5.0ms	x
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
33.1b	1	`x`
33.1b	1	`y`
33.1b	1	`(cosh.f64 x)`

Compiler

Compiled 81 to 57 computations (29.6% saved)

regimes13.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y
5.0ms	x

Results

Error	Segments	Branch
33.1b	1	`x`
33.1b	1	`y`

Compiler

Compiled 73 to 51 computations (30.1% saved)

regimes11.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
33.3b	1	`x`
33.3b	1	`y`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes10.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
33.9b	1	`x`
33.9b	1	`y`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Accuracy

Total -1.0b remaining (-3%)

Threshold costs -1.0b (-3%)

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
34.2b	1	`x`
34.2b	1	`y`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
4×	`+-commutative`
2×	`*-rgt-identity`
2×	`1-exp`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	190
1	48	190

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(if (<=.f64 y -6346860552976803/302231454903657293676544) (/.f64 (sin.f64 y) y) (if (<=.f64 y 5246140168319413/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (*.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) y)))
(*.f64 (cosh.f64 x) 1)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
1

Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(if (<=.f64 y -6346860552976803/302231454903657293676544) (/.f64 (sin.f64 y) y) (if (<=.f64 y 5246140168319413/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (*.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) y)))
(if (or (<=.f64 y -6346860552976803/302231454903657293676544) (not (<=.f64 y 5246140168319413/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536))) (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (cosh.f64 x) 1)
(cosh.f64 x)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
1

Compiler

Compiled 84 to 63 computations (25% saved)

soundness402.0ms (4%)

Algorithm

5×	egg-herbie

Rules

1668×	`associate-/r/`
1668×	`associate-/r/`
1168×	`associate-/l*`
1078×	`distribute-lft-in`
1076×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	495	6305
1	1290	6183
2	6009	6183
0	456	6438
1	1164	6320
2	5019	6244
0	507	11132
1	1432	10630
2	6253	10630
0	318	4149
1	850	4063
2	3747	3987
0	507	11132
1	1432	10630
2	6253	10630

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 180 to 118 computations (34.4% saved)

end50.0ms (0.5%)

Compiler: Compiled 70 to 43 computations (38.6% saved)