Details

analyze200.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.0s (38.3%)

Results

1.1s	2079×	body	1024	infinite
988.0ms	2079×	body	1024	valid
879.0ms	5138×	body	256	valid
351.0ms	1012×	body	512	infinite
333.0ms	1034×	body	512	valid
323.0ms	1536×	body	256	infinite
4.0ms	5×	body	2048	valid

Bogosity

preprocess74.0ms (0.7%)

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)

simplify104.0ms (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

Accurracy

99.4%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 (sin.f64 y) y)
✓	99.6%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series8.0ms (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))
1.0ms	x	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms	y	@	0	(/.f64 (sin.f64 y) y)
1.0ms	y	@	inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`associate-*r/`
950×	`*-commutative`
852×	`associate-*l/`
812×	`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 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) 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 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 (+.f64 y y) (.f64 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (.f64 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (.f64 (sin.f64 y) (sqrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (/.f64 (.f64 (neg.f64 y) 2) (.f64 (cosh.f64 x) 2)))))) (#(struct:change #<rule 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Outputs

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

simplify212.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1190×	`distribute-lft-in`
1186×	`distribute-rgt-in`
1040×	`associate-/l*`
656×	`associate-/l/`
634×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	494	6305
1	1292	6183
2	6010	6183

Stop Event

1×	node limit

Counts

205 → 270

Calls

Call 1

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

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

eval116.0ms (1.1%)

Compiler: Compiled 4206 to 1440 computations (65.8% saved)

prune52.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	257	13	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	258	13	271

Accurracy

99.6%

Counts

271 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.0%	(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
	98.3%	(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3)
	72.1%	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
	45.7%	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
▶	99.3%	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
	97.8%	(/.f64 (sin.f64 y) y)
▶	99.4%	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	98.7%	(+.f64 (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (/.f64 (sin.f64 y) y)) (/.f64 (.f64 1/24 (sin.f64 y)) (/.f64 y (pow.f64 x 4))))
	98.9%	(+.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)))))
	98.6%	(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
▶	97.8%	(.f64 (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (.f64 y 2) (sin.f64 y))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
	99.2%	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
▶	50.3%	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 394 to 258 computations (34.5% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 y (sin.f64 y))
✓	99.4%	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (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)))

rewrite95.0ms (0.9%)

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
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Outputs

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

simplify109.0ms (1.1%)

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

localize5.0ms (0.1%)

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

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 1 (sin.f64 y))
✓	99.7%	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
✓	99.6%	(/.f64 (cosh.f64 x) y)

Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite127.0ms (1.2%)

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	49
1	234	43
2	3241	43

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 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-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))))))))

simplify121.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1830×	`distribute-lft-in`
878×	`associate-l`
854×	`associate-r`
650×	`*-commutative`
574×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	454	6506
1	1213	6286
2	5868	6286

Stop Event

1×	node limit

Counts

224 → 255

Calls

Call 1

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

localize12.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
	99.8%	(/.f64 (sin.f64 y) y)
✓	99.8%	(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
	99.6%	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series53.0ms (0.5%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
4.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`associate-*r/`
1080×	`*-commutative`
1004×	`associate-*l/`
834×	`associate-/r*`
620×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	251	46
2	2905	46

Stop Event

1×	node limit

Counts

2 → 209

Calls

Call 1

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

Outputs

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

simplify201.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1256×	`distribute-lft-in`
1100×	`associate-/l*`
692×	`associate-r`
688×	`*-commutative`
646×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	591	10189
1	1489	9773
2	6240	9773

Stop Event

1×	node limit

Counts

241 → 340

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 (-.f64 (+.f64 (.f64 1/16 (/.f64 (sin.f64 y) y)) (.f64 1/24 (/.f64 (sin.f64 y) y))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (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 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)) (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (sin.f64 y) y)) (.f64 1/24 (/.f64 (sin.f64 y) y))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)))))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2))
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) (.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/576 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 -1/24 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 1/2)))) 2))) (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))))
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/576 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 -1/24 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 1/2)))) 2))) (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))))))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 x 2))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 x 2))) (+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 y (sin.f64 y)))))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (.f64 1/4 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)))) (pow.f64 x 6)))) (+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 y (sin.f64 y))))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(+.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) (.f64 -1/24 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (pow.f64 y 2) (sqrt.f64 1/2)))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) (+.f64 (.f64 -1/24 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (pow.f64 y 2) (sqrt.f64 1/2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 (.f64 -1/24 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 1/2)))) 2))) (sqrt.f64 1/2))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 (.f64 (-.f64 (.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 -1/24 (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 (.f64 -1/24 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 1/2)))) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 y 6)) (sqrt.f64 1/2)))) (+.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2)) (+.f64 (.f64 -1/24 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (pow.f64 y 2) (sqrt.f64 1/2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 (.f64 -1/24 (*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 1/2)))) 2))) (sqrt.f64 1/2)))))))
(-.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 (sin.f64 y) y) (cosh.f64 x))
(.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 1 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (sqrt.f64 (cosh.f64 x))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (pow.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/4) (.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/4)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (cbrt.f64 (cosh.f64 x)) (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (cosh.f64 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))
(.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))
(.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 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) (.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(.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 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (pow.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/4)) (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/4))
(.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(.f64 (.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) (cbrt.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (cosh.f64 x))) (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 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(.f64 (.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (cosh.f64 x)))
(.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))) (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)))
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(/.f64 (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) (cbrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) (cbrt.f64 y))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y)))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) 1) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))) (cbrt.f64 y))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 3)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.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)))))
(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 (-.f64 (+.f64 (.f64 1/16 (/.f64 (sin.f64 y) y)) (.f64 1/24 (/.f64 (sin.f64 y) y))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 5/48) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 5/48) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (pow.f64 x 4) (.f64 1/2 (/.f64 (sin.f64 y) (/.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 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)) (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (sin.f64 y) y)) (.f64 1/24 (/.f64 (sin.f64 y) y))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 5/48) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (/.f64 (sin.f64 y) y)) (fma.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 5/48) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (pow.f64 x 4) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))))))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y 1/2) (sin.f64 y)))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y 1/2) (sin.f64 y)))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y 1/2) (sin.f64 y)))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y 1/2) (sin.f64 y)))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y 1/2) (sin.f64 y)))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y 1/2) (sin.f64 y)))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y 1/2) (sin.f64 y)))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y 1/2) (sin.f64 y)))
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) (.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2) (.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 (*.f64 y y) -1/12)))
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/576 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 -1/24 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 1/2)))) 2))) (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))))
(fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2) (fma.f64 (pow.f64 y 4) (-.f64 (fma.f64 1/576 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/240)) (pow.f64 (.f64 -1/24 (.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (sqrt.f64 1/2)))) 2)) (.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))) (fma.f64 (pow.f64 y 4) (-.f64 (fma.f64 1/576 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/240)) (pow.f64 (.f64 -1/24 (/.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 1/2))) 2)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12))))
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/576 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 -1/24 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 1/2)))) 2))) (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))))))
(fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2) (fma.f64 (pow.f64 y 4) (-.f64 (fma.f64 1/576 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/240)) (pow.f64 (.f64 -1/24 (.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (sqrt.f64 1/2)))) 2)) (fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6))))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (pow.f64 y 4) (-.f64 (fma.f64 1/576 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/240)) (pow.f64 (.f64 -1/24 (/.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 1/2))) 2)) (fma.f64 -1/10080 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (.f64 y y) -1/12)))))
(sqrt.f64 (/.f64 (sin.f64 y) y))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 x 2))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(fma.f64 1/4 (.f64 (.f64 x x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 x 2))) (+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 y (sin.f64 y)))))))
(+.f64 (fma.f64 1/4 (.f64 (.f64 x x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))) (.f64 1/2 (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 1/24) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y)))))))
(fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (.f64 1/4 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)))) (pow.f64 x 6)))) (+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 y (sin.f64 y))))))))
(fma.f64 1/4 (.f64 (.f64 x x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 6) (+.f64 (/.f64 (.f64 1/720 (sin.f64 y)) y) (.f64 -1/4 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 1/24) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)))))) (+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 1/2 (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 1/24) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y)))))))))
(fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (fma.f64 (/.f64 (sin.f64 y) y) 1/720 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) -1/4)) (.f64 (pow.f64 x 6) (sqrt.f64 (/.f64 y (sin.f64 y))))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
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(/.f64 (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(/.f64 (.f64 1 (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y)))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (.f64 (cosh.f64 x) 2))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 2)) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) (cbrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y)))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) 1) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 2)) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (cbrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) 1) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (fabs.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 y))))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/2)
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1)
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/4) 2)
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 3)
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))

localize24.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 (*.f64 y 2) (sin.f64 y))
✓	99.6%	(sqrt.f64 (*.f64 2 (cosh.f64 x)))
✓	99.3%	(/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (.f64 y 2) (sin.f64 y)))
✓	98.9%	(.f64 (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (.f64 y 2) (sin.f64 y))) (sqrt.f64 (.f64 2 (cosh.f64 x))))

Compiler

Compiled 57 to 33 computations (42.1% saved)

series17.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (.f64 y 2) (sin.f64 y)))
2.0ms	y	@	inf	(.f64 (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (.f64 y 2) (sin.f64 y))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
1.0ms	x	@	inf	(.f64 (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (.f64 y 2) (sin.f64 y))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (.f64 y 2) (sin.f64 y)))
1.0ms	x	@	-inf	(.f64 (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (.f64 y 2) (sin.f64 y))) (sqrt.f64 (.f64 2 (cosh.f64 x))))

rewrite102.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`associate-/r/`
792×	`associate-/l/`
506×	`distribute-lft-neg-in`
456×	`distribute-rgt-neg-in`
352×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	102
1	296	102
2	4126	90

Stop Event

1×	node limit

Counts

4 → 240

Calls

Call 1

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

simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1486×	`associate-r`
1310×	`associate-/l*`
1228×	`associate-l`
1054×	`*-commutative`
670×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	688	13206
1	1920	13114

Stop Event

1×	node limit

Counts

312 → 386

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y)) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 (sin.f64 y) (pow.f64 x 2))) y)))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (pow.f64 x 4))) y)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y)) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (pow.f64 x 2))) y))))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (pow.f64 x 4))) y)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (pow.f64 x 2))) y)) (.f64 1/1440 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 (sin.f64 y) (pow.f64 x 6))) y)))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
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(.f64 (/.f64 (sqrt.f64 y) (.f64 (sin.f64 y) 1/2)) (sqrt.f64 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (sin.f64 y) 1/2)) (cbrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (sin.f64 y)) (cbrt.f64 (+.f64 y y)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 y -2) (sin.f64 y)))) (sqrt.f64 (/.f64 (*.f64 y -2) (sin.f64 y))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y -2) (sin.f64 y))) (cbrt.f64 (/.f64 (.f64 y -2) (sin.f64 y))))) (cbrt.f64 (/.f64 (*.f64 y -2) (sin.f64 y))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) 1/2))))) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) 1/2))) 2))) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)) 3) 1/3)
(pow.f64 (*.f64 1/2 (/.f64 (sin.f64 y) y)) -1)
(neg.f64 (/.f64 (*.f64 y -2) (sin.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)) 2))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y y) 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sin.f64 y) 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))

Outputs
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) y) (sin.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y)) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 (sin.f64 y) (pow.f64 x 2))) y)))
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 y (sin.f64 y))) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (.f64 x x))) y)))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) y) (sin.f64 y)) (.f64 1/4 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) y) (.f64 (sin.f64 y) (*.f64 x x)))))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (pow.f64 x 4))) y)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y)) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (pow.f64 x 2))) y))))
(fma.f64 1/48 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (pow.f64 x 4))) y) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 y (sin.f64 y))) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (.f64 x x))) y))))
(fma.f64 1/48 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) y) (.f64 (sin.f64 y) (pow.f64 x 4))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) y) (sin.f64 y)) (.f64 1/4 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) y) (.f64 (sin.f64 y) (*.f64 x x))))))
(+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (pow.f64 x 4))) y)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (pow.f64 x 2))) y)) (.f64 1/1440 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 (sin.f64 y) (pow.f64 x 6))) y)))))
(fma.f64 1/48 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (pow.f64 x 4))) y) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 y (sin.f64 y))) (fma.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 y) (.f64 x x))) y) (.f64 1/1440 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 6))))))))
(fma.f64 1/48 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) y) (.f64 (sin.f64 y) (pow.f64 x 4))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) y) (sin.f64 y)) (fma.f64 1/4 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) y) (.f64 (sin.f64 y) (.f64 x x))) (/.f64 (.f64 1/1440 (.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 (sin.f64 y) (pow.f64 x 6)))) y))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 2) 2)))
(.f64 1/4 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 (sqrt.f64 2) 2) 1/4))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 2)))) (.f64 1/4 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 2) 2))))
(fma.f64 -1/24 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 y y))) (.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/24 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 (sqrt.f64 2) 2) 1/4)))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 2)))) (+.f64 (.f64 1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 2) 2))) (.f64 1/480 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 4))))))
(fma.f64 -1/24 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 y y))) (fma.f64 1/4 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/480 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 4))))))
(fma.f64 -1/24 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y))) (fma.f64 1/4 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 4)) 1/480))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 2)))) (+.f64 (.f64 -1/20160 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 6)))) (+.f64 (.f64 1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 2) 2))) (.f64 1/480 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 4)))))))
(fma.f64 -1/24 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 y y))) (fma.f64 -1/20160 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 6))) (fma.f64 1/4 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/480 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 4)))))))
(fma.f64 -1/24 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y))) (fma.f64 -1/20160 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 6))) (fma.f64 1/4 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 y 4)) 1/480)))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) y))
(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (sin.f64 y)) y))
(*.f64 1/4 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (sqrt.f64 2) 2))))
(.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) y))
(/.f64 (sqrt.f64 2) (*.f64 y (/.f64 2 (sin.f64 y))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 2))) y)) (.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) y)))
(fma.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (.f64 x x))) y) (.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) y)))
(fma.f64 1/8 (.f64 (/.f64 (sqrt.f64 2) y) (.f64 (sin.f64 y) (.f64 x x))) (/.f64 (sqrt.f64 2) (.f64 y (/.f64 2 (sin.f64 y)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 2))) y)) (+.f64 (.f64 -1/192 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 4))) y)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) y))))
(fma.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (.f64 x x))) y) (fma.f64 -1/192 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 4))) y) (.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) y))))
(fma.f64 1/8 (.f64 (/.f64 (sqrt.f64 2) y) (.f64 (sin.f64 y) (.f64 x x))) (fma.f64 -1/192 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 4))) (/.f64 (sqrt.f64 2) (.f64 y (/.f64 2 (sin.f64 y))))))
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(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 2 (sin.f64 y)) y)
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 2 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (+.f64 y y) (sqrt.f64 (sin.f64 y))) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 y (sin.f64 y)) 2)
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 y -2) (sin.f64 y)))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) 1/2)))) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)))))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) 1/2))) 2)) (neg.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)))))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(.f64 (.f64 1 (/.f64 2 (sin.f64 y))) y)
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(.f64 (/.f64 1 (neg.f64 (sin.f64 y))) (.f64 y -2))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (/.f64 2 (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (+.f64 y y) (sqrt.f64 (sin.f64 y))) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 2 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (*.f64 1 (/.f64 (+.f64 y y) (cbrt.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (/.f64 y 1) (/.f64 2 (sin.f64 y)))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 2 (cbrt.f64 (sin.f64 y))))
(/.f64 (*.f64 1 (/.f64 (+.f64 y y) (cbrt.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y y)) 1) (/.f64 (sqrt.f64 (+.f64 y y)) (sin.f64 y)))
(.f64 (sqrt.f64 (+.f64 y y)) (.f64 (/.f64 1 (sin.f64 y)) (sqrt.f64 (+.f64 y y))))
(*.f64 (sqrt.f64 (+.f64 y y)) (/.f64 (sqrt.f64 (+.f64 y y)) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y y)) (sin.f64 y)) (sqrt.f64 (+.f64 y y)))
(.f64 (sqrt.f64 (+.f64 y y)) (.f64 (/.f64 1 (sin.f64 y)) (sqrt.f64 (+.f64 y y))))
(*.f64 (sqrt.f64 (+.f64 y y)) (/.f64 (sqrt.f64 (+.f64 y y)) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 (+.f64 y y)) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y y)) (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 (+.f64 y y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (/.f64 (cbrt.f64 (+.f64 y y)) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (+.f64 y y)) (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) 1/2))))
(.f64 (cbrt.f64 (/.f64 y (.f64 1/2 (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(.f64 (cbrt.f64 (.f64 y (/.f64 2 (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (/.f64 y (neg.f64 (sin.f64 y))) -2)
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) y)) 2)
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (sqrt.f64 (+.f64 y y)))) (sqrt.f64 (+.f64 y y)))
(.f64 (sqrt.f64 (+.f64 y y)) (.f64 (/.f64 1 (sin.f64 y)) (sqrt.f64 (+.f64 y y))))
(*.f64 (sqrt.f64 (+.f64 y y)) (/.f64 (sqrt.f64 (+.f64 y y)) (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (+.f64 y y)) 2))) (cbrt.f64 (+.f64 y y)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 (+.f64 y y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (/.f64 (cbrt.f64 (+.f64 y y)) (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 1 (+.f64 y y))) (/.f64 1 (sin.f64 y)))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) 1/2))) 2))) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(.f64 (/.f64 (sqrt.f64 y) (.f64 (sin.f64 y) 1/2)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 1/2 (sin.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (sin.f64 y) 1/2)) (cbrt.f64 y))
(.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 1/2 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (sin.f64 y)) (cbrt.f64 (+.f64 y y)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 (+.f64 y y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y y)) 2) (/.f64 (cbrt.f64 (+.f64 y y)) (sin.f64 y)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 y -2) (sin.f64 y)))) (sqrt.f64 (/.f64 (*.f64 y -2) (sin.f64 y))))
(.f64 (sqrt.f64 (/.f64 (.f64 y -2) (sin.f64 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 y -2) (sin.f64 y)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 (.f64 y -2) (sin.f64 y))) (sqrt.f64 (/.f64 (*.f64 y -2) (sin.f64 y)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y -2) (sin.f64 y))) (cbrt.f64 (/.f64 (.f64 y -2) (sin.f64 y))))) (cbrt.f64 (/.f64 (*.f64 y -2) (sin.f64 y))))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y -2) (sin.f64 y))) (cbrt.f64 (/.f64 (.f64 y -2) (sin.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 (*.f64 y -2) (sin.f64 y)))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) 1/2))))) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) 1/2))) 2))) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)) 1)
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))) 2)
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))) 3)
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)) 3) 1/3)
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(pow.f64 (*.f64 1/2 (/.f64 (sin.f64 y) y)) -1)
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(neg.f64 (/.f64 (*.f64 y -2) (sin.f64 y)))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)) 2))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 1/2 (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 2 (sin.f64 y))) 2))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)))))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2)) 3))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y y) 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sin.f64 y) 1/2))) 1))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sin.f64 y) 1/2))))
(/.f64 (+.f64 y y) (sin.f64 y))
(*.f64 y (/.f64 2 (sin.f64 y)))

eval718.0ms (6.9%)

Compiler: Compiled 29960 to 13672 computations (54.4% saved)

prune481.0ms (4.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1479	12	1491
Fresh	7	1	8
Picked	1	0	1
Done	2	2	4
Total	1489	15	1504

Accurracy

99.6%

Counts

1504 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.8%	(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (fma.f64 (/.f64 (sin.f64 y) y) 1/720 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) -1/4)) (.f64 (pow.f64 x 6) (sqrt.f64 (/.f64 y (sin.f64 y))))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y))))) 2)
▶	71.7%	(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
	71.8%	(pow.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (.f64 1/4 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)))) (pow.f64 x 6)))) (+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 y (sin.f64 y)))))))) 2)
▶	70.9%	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
▶	98.3%	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
	45.6%	(/.f64 (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2) (/.f64 1 (sin.f64 y)))
	97.6%	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	98.6%	(/.f64 (+.f64 (/.f64 1 y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1/2 (/.f64 y (*.f64 x x))))) (/.f64 1 (sin.f64 y)))
	98.7%	(/.f64 (+.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 (sin.f64 y)))
	98.4%	(/.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y))) (/.f64 1 (sin.f64 y)))
▶	97.8%	(/.f64 (sin.f64 y) y)
✓	99.4%	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	99.2%	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
✓	50.3%	(*.f64 (cosh.f64 x) 1)
	96.3%	(.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y))

Compiler

Compiled 737 to 459 computations (37.7% saved)

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(/.f64 (cosh.f64 x) y)
✓	99.6%	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`associate-*r/`
946×	`*-commutative`
860×	`associate-/r*`
836×	`associate-*l/`
692×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	187	21
2	2462	21

Stop Event

1×	node limit

Counts

1 → 113

Calls

Call 1

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

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-/l*`
600×	`associate-/l/`
458×	`unswap-sqr`
424×	`distribute-lft-in`
422×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	4291
1	925	4281
2	3944	4171

Stop Event

1×	node limit

Counts

137 → 183

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

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

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(/.f64 (sin.f64 y) y)

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize12.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (sin.f64 y) y))
✓	99.8%	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
	99.8%	(/.f64 (sin.f64 y) y)

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)

rewrite59.0ms (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))))))))

simplify57.0ms (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))

localize13.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(/.f64 (cosh.f64 x) y)
	99.6%	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
✓	99.4%	(cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
✓	99.4%	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)

Compiler

Compiled 38 to 10 computations (73.7% saved)

series23.0ms (0.2%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
5.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`associate-*r/`
1082×	`*-commutative`
882×	`associate-*l/`
860×	`associate-/r*`
658×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	254	46
2	2997	46

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
(cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) 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 (/.f64 (cosh.f64 x) y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 2) 3))))) (#(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 (sin.f64 y)) 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simplify143.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-/l*`
996×	`associate-+r+`
888×	`associate-r`
766×	`*-commutative`
728×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	629	10358
1	1719	10098
2	7167	10098

Stop Event

1×	node limit

Counts

226 → 308

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 x x) (/.f64 (sin.f64 y) y))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))))) (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))))) (pow.f64 x 4))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 x x) (.f64 (fma.f64 1/3 (.f64 1 (.f64 (/.f64 (sin.f64 y) y) -1/24)) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 2/3 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/24) (cbrt.f64 (/.f64 y (sin.f64 y)))))) (.f64 (/.f64 (sin.f64 y) y) 1/18))) (pow.f64 x 4))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/72) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (/.f64 -1/24 (/.f64 y (sin.f64 y))) (.f64 2/3 (cbrt.f64 (/.f64 y (sin.f64 y)))))) (/.f64 1/18 (/.f64 y (sin.f64 y))))) (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (.f64 1/216 (/.f64 (sin.f64 y) y)) (.f64 1/3 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y)))))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y)))))))) (+.f64 (.f64 1/9 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (.f64 1/216 (/.f64 (sin.f64 y) y)) (.f64 1/3 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))))))))) (pow.f64 x 6)) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))))) (.f64 1/18 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))))) (pow.f64 x 4)))))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/9 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/24) (cbrt.f64 (/.f64 y (sin.f64 y)))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (-.f64 (.f64 (/.f64 (sin.f64 y) y) 1/720) (fma.f64 1/216 (/.f64 (sin.f64 y) y) (.f64 1/3 (.f64 (/.f64 (sin.f64 y) y) -1/24))))))) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 2/3 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/24) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (fma.f64 1/9 (.f64 1 (.f64 (/.f64 (sin.f64 y) y) -1/24)) (.f64 1/3 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 1/720) (fma.f64 1/216 (/.f64 (sin.f64 y) y) (.f64 1/3 (.f64 (/.f64 (sin.f64 y) y) -1/24)))))))) (pow.f64 x 6) (+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 x x) (.f64 (fma.f64 1/3 (.f64 1 (.f64 (/.f64 (sin.f64 y) y) -1/24)) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 2/3 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/24) (cbrt.f64 (/.f64 y (sin.f64 y)))))) (.f64 (/.f64 (sin.f64 y) y) 1/18))) (pow.f64 x 4)))))
(+.f64 (fma.f64 (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/72) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (/.f64 -1/24 (/.f64 y (sin.f64 y))) (.f64 2/3 (cbrt.f64 (/.f64 y (sin.f64 y)))))) (/.f64 1/18 (/.f64 y (sin.f64 y))))) (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (.f64 x x)))) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (-.f64 (.f64 (/.f64 (sin.f64 y) y) -7/2160) (.f64 (/.f64 (sin.f64 y) y) -1/72))) (.f64 (/.f64 -1/24 (/.f64 y (sin.f64 y))) (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 1/9))) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (/.f64 -1/24 (/.f64 y (sin.f64 y))) (.f64 2/3 (cbrt.f64 (/.f64 y (sin.f64 y))))))) (fma.f64 1/3 (-.f64 (.f64 (/.f64 (sin.f64 y) y) -7/2160) (.f64 (/.f64 (sin.f64 y) y) -1/72)) (*.f64 (/.f64 -1/24 (/.f64 y (sin.f64 y))) 1/9)))) (pow.f64 x 6) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 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 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/324 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (.f64 1/1296 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (fma.f64 1/324 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 1/2) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (cbrt.f64 1/2))) (.f64 1/1296 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/324 (fma.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (cbrt.f64 1/2) -1/2160))) (/.f64 (.f64 1/1296 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (.f64 1/2 (cbrt.f64 1/2)))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))))) (pow.f64 y 4))))
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(.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)))))
(/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (.f64 1 (cbrt.f64 (.f64 (cosh.f64 x) (sin.f64 y)))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (neg.f64 (cosh.f64 x)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (cosh.f64 x))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (cosh.f64 x) (sin.f64 y)))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) 1) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (neg.f64 y)))
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (cosh.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) 1) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (/.f64 (cbrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1)
(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/3)
(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/6) 2)
(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 3)
(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2))
(fabs.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))
(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))

localize74.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
✓	99.7%	(/.f64 1/24 (/.f64 y (sin.f64 y)))
✓	98.6%	(-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 (sin.f64 y) y) 1/16))
✓	98.1%	(*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))

Compiler

Compiled 220 to 77 computations (65% saved)

series24.0ms (0.2%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
5.0ms	y	@	inf	(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
2.0ms	y	@	0	(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
1.0ms	y	@	0	(*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))
1.0ms	x	@	0	(*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))

rewrite129.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`add-sqr-sqrt`
558×	`*-un-lft-identity`
554×	`pow1`
538×	`add-exp-log`
538×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	216
1	598	172
2	7433	172

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))
(-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 (sin.f64 y) y) 1/16))
(/.f64 1/24 (/.f64 y (sin.f64 y)))
(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 4) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 y) (pow.f64 x 4)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) (.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2) (pow.f64 (pow.f64 x 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) (/.f64 1/24 y)) (.f64 (/.f64 (sin.f64 y) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) (/.f64 1/24 y)) (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/16) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) (/.f64 1/24 y)) (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/16) (fma.f64 -1/16 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) (/.f64 1/24 y)) (+.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/16) 1) (fma.f64 -1/16 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) (/.f64 1/24 y)) (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/16) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) y) 1/16 (.f64 (/.f64 (sin.f64 y) y) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) (/.f64 1/24 y)) (+.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/16) 1) 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(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2))) (cbrt.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))))))

simplify148.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1288×	`+-commutative`
1204×	`associate-/r/`
966×	`fma-def`
834×	`associate-r`
738×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	514	13147
1	1397	12163
2	6480	12163

Stop Event

1×	node limit

Counts

217 → 286

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(pow.f64 x 4)
(+.f64 (.f64 1/12 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (pow.f64 x 4))
(+.f64 (.f64 1/12 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (pow.f64 x 4) (.f64 1/160 (.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 61/120960 (.f64 (pow.f64 y 6) (pow.f64 x 4))) (+.f64 (pow.f64 x 4) (.f64 1/160 (.f64 (pow.f64 y 4) (pow.f64 x 4))))))
-1/48
(-.f64 (*.f64 1/288 (pow.f64 y 2)) 1/48)
(-.f64 (+.f64 (.f64 1/288 (pow.f64 y 2)) (.f64 -1/5760 (pow.f64 y 4))) 1/48)
(-.f64 (+.f64 (.f64 1/241920 (pow.f64 y 6)) (+.f64 (.f64 1/288 (pow.f64 y 2)) (*.f64 -1/5760 (pow.f64 y 4)))) 1/48)
(/.f64 (-.f64 (.f64 1/24 (sin.f64 y)) (.f64 1/16 (sin.f64 y))) y)
(/.f64 (-.f64 (.f64 1/24 (sin.f64 y)) (.f64 1/16 (sin.f64 y))) y)
(/.f64 (-.f64 (.f64 1/24 (sin.f64 y)) (.f64 1/16 (sin.f64 y))) y)
(/.f64 (-.f64 (.f64 1/24 (sin.f64 y)) (.f64 1/16 (sin.f64 y))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/24 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/24 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/24 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/24 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))) y))
1/24
(+.f64 1/24 (*.f64 -1/144 (pow.f64 y 2)))
(+.f64 1/24 (+.f64 (.f64 -1/144 (pow.f64 y 2)) (.f64 1/2880 (pow.f64 y 4))))
(+.f64 (.f64 -1/120960 (pow.f64 y 6)) (+.f64 1/24 (+.f64 (.f64 -1/144 (pow.f64 y 2)) (*.f64 1/2880 (pow.f64 y 4)))))
(*.f64 1/24 (/.f64 (sin.f64 y) y))
(*.f64 1/24 (/.f64 (sin.f64 y) y))
(*.f64 1/24 (/.f64 (sin.f64 y) y))
(*.f64 1/24 (/.f64 (sin.f64 y) y))
(*.f64 1/24 (/.f64 (sin.f64 y) y))
(*.f64 1/24 (/.f64 (sin.f64 y) y))
(*.f64 1/24 (/.f64 (sin.f64 y) y))
(*.f64 1/24 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/4 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/16 (/.f64 (sin.f64 y) y))) (pow.f64 x 6))))))
(.f64 1/4 (/.f64 (.f64 y (.f64 (pow.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/16 (/.f64 (sin.f64 y) y))) 2) (pow.f64 x 8))) (sin.f64 y)))
(+.f64 (.f64 1/4 (/.f64 (.f64 y (.f64 (pow.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/16 (/.f64 (sin.f64 y) y))) 2) (pow.f64 x 8))) (sin.f64 y))) (.f64 1/4 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/16 (/.f64 (sin.f64 y) y))) (pow.f64 x 6))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (+.f64 (.f64 1/4 (/.f64 (.f64 y (.f64 (pow.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/16 (/.f64 (sin.f64 y) y))) 2) (pow.f64 x 8))) (sin.f64 y))) (.f64 1/4 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/16 (/.f64 (sin.f64 y) y))) (pow.f64 x 6)))))
(+.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 (.f64 1/4 (/.f64 (.f64 y (.f64 (pow.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/16 (/.f64 (sin.f64 y) y))) 2) (pow.f64 x 8))) (sin.f64 y))) (.f64 1/4 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/16 (/.f64 (sin.f64 y) y))) (pow.f64 x 6))))))
(.f64 1/4 (/.f64 (.f64 y (.f64 (pow.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/16 (/.f64 (sin.f64 y) y))) 2) (pow.f64 x 8))) (sin.f64 y)))
(+.f64 (.f64 1/4 (/.f64 (.f64 y (.f64 (pow.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/16 (/.f64 (sin.f64 y) y))) 2) (pow.f64 x 8))) (sin.f64 y))) (.f64 1/4 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/16 (/.f64 (sin.f64 y) y))) (pow.f64 x 6))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (+.f64 (.f64 1/4 (/.f64 (.f64 y (.f64 (pow.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/16 (/.f64 (sin.f64 y) y))) 2) (pow.f64 x 8))) (sin.f64 y))) (.f64 1/4 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/16 (/.f64 (sin.f64 y) y))) (pow.f64 x 6)))))
(+.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 (.f64 1/4 (/.f64 (.f64 y (.f64 (pow.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/16 (/.f64 (sin.f64 y) y))) 2) (pow.f64 x 8))) (sin.f64 y))) (.f64 1/4 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/16 (/.f64 (sin.f64 y) y))) (pow.f64 x 6))))))
(pow.f64 (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4)))) 2)
(+.f64 (.f64 2 (.f64 (pow.f64 y 2) (.f64 (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4)))) (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/576 (pow.f64 x 4)) (.f64 1/288 (pow.f64 x 4)))) (.f64 -1/48 (pow.f64 x 2))) 1/12)))) (pow.f64 (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4)))) 2))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4)))) (+.f64 1/1440 (+.f64 (.f64 1/5760 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 -1/5760 (pow.f64 x 4)) (+.f64 (.f64 -1/7680 (pow.f64 x 4)) (.f64 1/3456 (pow.f64 x 4))))))))) (pow.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/576 (pow.f64 x 4)) (.f64 1/288 (pow.f64 x 4)))) (.f64 -1/48 (pow.f64 x 2))) 1/12) 2))) (+.f64 (.f64 2 (.f64 (pow.f64 y 2) (.f64 (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4)))) (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/576 (pow.f64 x 4)) (.f64 1/288 (pow.f64 x 4)))) (.f64 -1/48 (pow.f64 x 2))) 1/12)))) (pow.f64 (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4)))) 2)))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4)))) (+.f64 1/1440 (+.f64 (.f64 1/5760 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 -1/5760 (pow.f64 x 4)) (+.f64 (.f64 -1/7680 (pow.f64 x 4)) (.f64 1/3456 (pow.f64 x 4))))))))) (pow.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/576 (pow.f64 x 4)) (.f64 1/288 (pow.f64 x 4)))) (.f64 -1/48 (pow.f64 x 2))) 1/12) 2))) (+.f64 (.f64 2 (.f64 (pow.f64 y 2) (.f64 (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4)))) (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/576 (pow.f64 x 4)) (.f64 1/288 (pow.f64 x 4)))) (.f64 -1/48 (pow.f64 x 2))) 1/12)))) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 2 (.f64 (+.f64 1/1440 (+.f64 (.f64 1/5760 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 -1/5760 (pow.f64 x 4)) (+.f64 (.f64 -1/7680 (pow.f64 x 4)) (.f64 1/3456 (pow.f64 x 4))))))) (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/576 (pow.f64 x 4)) (.f64 1/288 (pow.f64 x 4)))) (.f64 -1/48 (pow.f64 x 2))) 1/12))) (.f64 2 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4)))) (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 1/241920 (pow.f64 x 4)) (+.f64 (.f64 -1/69120 (pow.f64 x 4)) (+.f64 (.f64 1/46080 (pow.f64 x 4)) (.f64 -61/5806080 (pow.f64 x 4)))))) (.f64 -1/96768 (pow.f64 x 2))) 1/24192))))) (pow.f64 (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4)))) 2))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8))))) 1)
(/.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(/.f64 (*.f64 (sqrt.f64 y) (pow.f64 x 4)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8))) 1)
(pow.f64 (.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) (.f64 x x)) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8))) 3) 1/3)
(sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2) (pow.f64 (pow.f64 x 4) 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 8)))))
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(/.f64 (-.f64 (.f64 -1/24 y) (.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (.f64 (sin.f64 y) 1/16))) (.f64 (/.f64 (neg.f64 y) (sin.f64 y)) y))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) 5/48) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (neg.f64 (.f64 (/.f64 (sin.f64 y) y) 5/48)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 1/24 y)) 3) (.f64 1/4096 (pow.f64 (/.f64 (sin.f64 y) y) 3)))) (neg.f64 (+.f64 (/.f64 1/576 (pow.f64 (/.f64 y (sin.f64 y)) 2)) (.f64 (.f64 (/.f64 (sin.f64 y) y) 1/16) (*.f64 (/.f64 (sin.f64 y) y) 5/48)))))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 y) y) -1/48)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) -1/48)))
(fma.f64 1/24 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) -1/16))
(fma.f64 1 (.f64 (sin.f64 y) (/.f64 1/24 y)) (.f64 (/.f64 (sin.f64 y) y) -1/16))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 1/24 y))) (sqrt.f64 (.f64 (sin.f64 y) (/.f64 1/24 y))) (*.f64 (/.f64 (sin.f64 y) y) -1/16))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 1/24 y))) 2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 1/24 y))) (*.f64 (/.f64 (sin.f64 y) y) -1/16))
(fma.f64 (/.f64 1/24 y) (sin.f64 y) (*.f64 (/.f64 (sin.f64 y) y) -1/16))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y)))) 1)
(*.f64 (sin.f64 y) (/.f64 1/24 y))
(*.f64 1/24 (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (/.f64 1/24 y)) 1)
(*.f64 (/.f64 (sin.f64 y) y) 1/24)
(.f64 1 (.f64 (sin.f64 y) (/.f64 1/24 y)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 1/24 y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 1/24 y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 1/24 y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y))))
(*.f64 (/.f64 1/24 y) (sin.f64 y))
(*.f64 -1/24 (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(.f64 (.f64 1/24 (sin.f64 y)) (/.f64 1 y))
(.f64 (.f64 1/24 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 1/24 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (/.f64 1/24 y) 1) (sin.f64 y))
(.f64 (.f64 (/.f64 1/24 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 1/24 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1/24 (neg.f64 y)) (neg.f64 (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y))) 3)
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) 24) -1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y)) 3) 1/3)
(sqrt.f64 (/.f64 1/576 (pow.f64 (/.f64 y (sin.f64 y)) 2)))
(log.f64 (pow.f64 (exp.f64 1/24) (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 1/24 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 1/24 y))))
(+.f64 (.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)))) (.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(+.f64 (.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)))))
(+.f64 (.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))))
(+.f64 (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))) (.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2))) 1)
(.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2) 1)
(.f64 1 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2))
(.f64 (sqrt.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))) (.f64 (sqrt.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)) (cbrt.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 4)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)) (.f64 (cbrt.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 4)) (cbrt.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))
(.f64 (.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (sqrt.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))))
(.f64 (.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2))) (cbrt.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y))))))
(sqrt.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))

Outputs
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 4))
(pow.f64 x 4)
(+.f64 (.f64 1/12 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (pow.f64 x 4))
(fma.f64 1/12 (.f64 (pow.f64 x 4) (.f64 y y)) (pow.f64 x 4))
(.f64 (+.f64 (.f64 1/12 (*.f64 y y)) 1) (pow.f64 x 4))
(.f64 (+.f64 1 (.f64 1/12 (*.f64 y y))) (pow.f64 x 4))
(+.f64 (.f64 1/12 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (pow.f64 x 4) (.f64 1/160 (.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/12 (.f64 (pow.f64 x 4) (.f64 y y)) (pow.f64 x 4)) (.f64 (.f64 1/160 (pow.f64 y 4)) (pow.f64 x 4)))
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(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2) 3))
(pow.f64 (fma.f64 1/4 (.f64 (.f64 x x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 -1/48 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 -1/48 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))
(pow.f64 (fma.f64 1/4 (.f64 (.f64 x x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 -1/48 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 -1/48 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
(exp.f64 (log.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))
(pow.f64 (fma.f64 1/4 (.f64 (.f64 x x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 -1/48 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 -1/48 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)) 1))
(pow.f64 (fma.f64 1/4 (.f64 (.f64 x x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 -1/48 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 -1/48 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 (/.f64 (sin.f64 y) y) -1/48))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)))
(pow.f64 (fma.f64 1/4 (.f64 (.f64 x x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 -1/48 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (pow.f64 x 4) (*.f64 -1/48 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)

eval571.0ms (5.5%)

Compiler: Compiled 35245 to 14084 computations (60% saved)

prune323.0ms (3.1%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1350	9	1359
Fresh	5	3	8
Picked	1	0	1
Done	2	4	6
Total	1358	16	1374

Accurracy

99.6%

Counts

1374 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2)
	50.1%	(pow.f64 (+.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 (pow.f64 x 4) -1/96))) 2)
✓	70.9%	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
	96.7%	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
▶	45.3%	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	97.6%	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
▶	98.4%	(/.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y))) (/.f64 1 (sin.f64 y)))
✓	97.8%	(/.f64 (sin.f64 y) y)
▶	97.7%	(/.f64 1 (/.f64 y (sin.f64 y)))
▶	48.6%	(+.f64 1 (.f64 (.f64 y y) -1/6))
✓	99.2%	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
	97.6%	(*.f64 (/.f64 1 y) (sin.f64 y))
▶	98.4%	(.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))) (sin.f64 y))
✓	50.3%	(*.f64 (cosh.f64 x) 1)
	96.3%	(.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y))
	49.7%	1

Compiler

Compiled 289 to 219 computations (24.2% saved)

localize28.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 1/2 (/.f64 (.f64 x x) y))
	99.8%	(/.f64 1 (sin.f64 y))
✓	99.7%	(/.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y))) (/.f64 1 (sin.f64 y)))
✓	86.2%	(/.f64 (*.f64 x x) y)

Compiler

Compiled 57 to 26 computations (54.4% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`associate-/r/`
794×	`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	79
1	326	69
2	4563	69

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 x (neg.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (neg.f64 x)) 1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x x) 1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (*.f64 (/.f64 x y) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 (/.f64 x y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (/.f64 x y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 x y) x) 1/2)))))))

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-/r/`
640×	`distribute-lft-neg-in`
578×	`associate-r`
578×	`distribute-rgt-neg-in`
568×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	7300
1	1097	6672
2	4554	6620

Stop Event

1×	node limit

Counts

210 → 242

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 (.f64 y y) -1/6)

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`add-sqr-sqrt`
1056×	`*-un-lft-identity`
1004×	`pow1`
988×	`add-cube-cbrt`
980×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1409	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1650×	`distribute-rgt-in`
1626×	`distribute-lft-in`
1316×	`log-prod`
928×	`associate-r`
818×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	92	299
2	361	299
3	2123	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(/.f64 y (sin.f64 y))
✓	99.8%	(/.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)))

rewrite54.0ms (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)))))))

simplify49.0ms (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)

localize25.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(.f64 1/2 (/.f64 (.f64 x x) y))
✓	99.6%	(.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))) (sin.f64 y))
	86.2%	(/.f64 (*.f64 x x) y)

Compiler

Compiled 51 to 22 computations (56.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`associate-/r*`
1176×	`associate-/l*`
646×	`distribute-lft-in`
478×	`associate-/r/`
298×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	294	37
2	3937	37

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (/.f64 1 y)) (*.f64 (sin.f64 y) (*.f64 (/.f64 1/2 y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 1/2 y) (*.f64 x 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 (/.f64 1/2 y) (*.f64 x x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 1/2 y) (*.f64 x x)) (sin.f64 y)) (*.f64 (/.f64 1 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (sin.f64 y) (/.f64 1 y))) (*.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 1/2 y) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (sin.f64 y) (*.f64 (/.f64 1/2 y) (*.f64 x x)))) (*.f64 1 (*.f64 (sin.f64 y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 1 y) (sin.f64 y))) (*.f64 1 (*.f64 (*.f64 (/.f64 1/2 y) (*.f64 x x)) 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simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

934×	`associate-/l*`
688×	`times-frac`
658×	`*-commutative`
646×	`distribute-lft-neg-in`
642×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	4148
1	481	3776
2	1647	3634
3	6275	3614

Stop Event

1×	node limit

Counts

68 → 89

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

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.7%	(/.f64 (sin.f64 y) (sqrt.f64 y))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`add-sqr-sqrt`
1804×	`*-un-lft-identity`
1686×	`add-cube-cbrt`
1662×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	166	26
2	2281	26

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1556×	`associate-*r/`
1192×	`times-frac`
1012×	`associate-*l/`
966×	`unswap-sqr`
938×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	1971
1	475	1851
2	2015	1791

Stop Event

1×	node limit

Counts

87 → 118

Calls

Call 1

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

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

eval223.0ms (2.2%)

Compiler: Compiled 14509 to 7698 computations (46.9% saved)

prune190.0ms (1.8%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	747	9	756
Fresh	2	5	7
Picked	0	1	1
Done	3	5	8
Total	752	20	772

Accurracy

99.6%

Counts

772 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.1%	(pow.f64 (+.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 (pow.f64 x 4) -1/96))) 2)
	70.9%	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2)
	96.7%	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
✓	45.3%	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	97.6%	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	51.4%	(/.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y))) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
	98.5%	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
✓	97.8%	(/.f64 (sin.f64 y) y)
	96.9%	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
✓	97.7%	(/.f64 1 (/.f64 y (sin.f64 y)))
	51.0%	(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
	48.6%	(+.f64 1 (-.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) 1))
✓	48.6%	(+.f64 1 (.f64 (.f64 y y) -1/6))
	50.1%	(+.f64 1 (.f64 x (.f64 x 1/2)))
✓	99.2%	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
	97.6%	(*.f64 (/.f64 1 y) (sin.f64 y))
	98.4%	(.f64 (+.f64 (/.f64 1 y) (/.f64 (.f64 x 1/2) (/.f64 y x))) (sin.f64 y))
✓	50.3%	(*.f64 (cosh.f64 x) 1)
	5.2%	(.f64 x (.f64 x (*.f64 (sin.f64 y) (/.f64 1/2 y))))
	49.7%	1

Compiler

Compiled 210 to 158 computations (24.8% saved)

regimes83.0ms (0.8%)

Counts

44 → 1

Calls

Call 1

Inputs
1
(+.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 (+.f64 1 (.f64 y (.f64 y -1/6))) 1))
(/.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 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(.f64 x (.f64 x (*.f64 (sin.f64 y) (/.f64 1/2 y))))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))) (sin.f64 y))
(.f64 (+.f64 (/.f64 1 y) (/.f64 (.f64 x 1/2) (/.f64 y x))) (sin.f64 y))
(/.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y))) (/.f64 1 (sin.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(pow.f64 (cbrt.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 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2)
(.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) y))
(pow.f64 (+.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 (pow.f64 x 4) -1/96))) 2)
(/.f64 (+.f64 (/.f64 1 y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1/2 (/.f64 y (*.f64 x x))))) (/.f64 1 (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2) (/.f64 1 (sin.f64 y)))
(/.f64 (+.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 (sin.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (.f64 y 2) (sin.f64 y))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(+.f64 (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (/.f64 (sin.f64 y) y)) (/.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)))))
(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y)))) 2)
(pow.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (fma.f64 1/2 (.f64 (fma.f64 (/.f64 (sin.f64 y) y) 1/720 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) -1/4)) (.f64 (pow.f64 x 6) (sqrt.f64 (/.f64 y (sin.f64 y))))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/24 (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) 1/16)) (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (/.f64 (sin.f64 y) y))))) 2)
(pow.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (.f64 1/4 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)))) (pow.f64 x 6)))) (+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 y (sin.f64 y)))))))) 2)

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

Calls

5 calls:

18.0ms	y
17.0ms	x
15.0ms	(/.f64 (sin.f64 y) y)
15.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(cosh.f64 x)

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
99.4%	1	`(cosh.f64 x)`
99.4%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 706 to 344 computations (51.3% saved)

regimes35.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
8.0ms	x
7.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`(cosh.f64 x)`
98.5%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 166 to 101 computations (39.2% saved)

regimes26.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`y`
97.8%	1	`(cosh.f64 x)`
97.8%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 110 to 73 computations (33.6% saved)

regimes14.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`y`
51.4%	1	`(cosh.f64 x)`

Compiler

Compiled 70 to 51 computations (27.1% saved)

regimes10.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
51.0%	1	`x`
51.0%	1	`y`

Compiler

Compiled 43 to 32 computations (25.6% saved)

regimes8.0ms (0.1%)

Accuracy

Total -1.3b remaining (-4%)

Threshold costs -1.3b (-4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
50.1%	1	`x`
50.1%	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	167
1	41	167

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

Compiler

Compiled 73 to 54 computations (26% saved)

soundness0.0ms (0%)

end44.0ms (0.4%)

Compiler: Compiled 61 to 39 computations (36.1% saved)