Details

analyze165.0ms (2.5%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	8
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	9
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	10
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	11
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.0s (44.7%)

Results

763.0ms	2044×	body	1024	valid
741.0ms	2066×	body	1024	infinite
665.0ms	5183×	body	256	valid
287.0ms	1027×	body	512	valid
272.0ms	2038×	body	256	infinite
243.0ms	1028×	body	512	infinite
3.0ms	2×	body	2048	valid

Bogosity

preprocess57.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1300×	`associate-*r/`
1142×	`distribute-lft-in`
1098×	`associate-/r*`
988×	`distribute-rgt-in`
824×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	63	42
3	138	42
4	315	42
5	747	42
6	2400	42
7	6377	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
(*.f64 (sinh.f64 x) (/.f64 (cos.f64 y) x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1226×	`fma-neg`
1040×	`associate-r`
842×	`associate-/l*`
742×	`distribute-lft-in`
686×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	36	21
3	75	21
4	167	21
5	389	21
6	1223	21
7	4871	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.04%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.04%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(sinh.f64 y)
✓	0.03%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series9.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite111.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`associate-*r/`
932×	`*-commutative`
836×	`associate-/r*`
798×	`associate-*l/`
690×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	186	26
2	2435	26

Stop Event

1×	node limit

Counts

2 → 172

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(sinh.f64 y)

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

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

simplify131.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1394×	`associate-/l*`
982×	`associate-r`
838×	`associate-l`
598×	`associate-/r*`
588×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	487	5938
1	1261	5822
2	7111	5802

Stop Event

1×	node limit

Counts

208 → 273

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1)
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 (cos.f64 x))))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) (sqrt.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (cos.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 y (*.f64 (sinh.f64 y) (cbrt.f64 (cos.f64 x)))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 y 1))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 y) (cos.f64 x)))
(/.f64 (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (/.f64 y (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))) (/.f64 y (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
(/.f64 (.f64 (cos.f64 x) (.f64 (sinh.f64 y) 2)) (*.f64 y 2))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sinh.f64 y))) (/.f64 y (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(/.f64 (.f64 (cos.f64 x) (/.f64 (.f64 (sinh.f64 y) 2) y)) 2)
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (cos.f64 x) -1) (/.f64 y (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y)))) (sqrt.f64 y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y)))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sinh.f64 y)) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) 1) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) 1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (sinh.f64 y)) y)
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) 1) (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (.f64 (/.f64 (cos.f64 x) 1) (.f64 (sinh.f64 y) 2)) (*.f64 y 2))
(/.f64 (.f64 (/.f64 (cos.f64 x) 1) (/.f64 (.f64 (sinh.f64 y) 2) y)) 2)
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) -1) (/.f64 y (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (sinh.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (sinh.f64 y)) (cbrt.f64 y))
(/.f64 (*.f64 -1 (cos.f64 x)) (/.f64 y (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) y)) (/.f64 1 (sinh.f64 y)))
(/.f64 (.f64 (.f64 (sinh.f64 y) 2) (/.f64 (cos.f64 x) y)) 2)
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) -2)
(/.f64 (.f64 (/.f64 (.f64 (sinh.f64 y) 2) y) (cos.f64 x)) 2)
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (cos.f64 x)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cos.f64 x)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) 1) (cbrt.f64 y))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) (sqrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (*.f64 (sinh.f64 y) 2)) (pow.f64 y -1)) 2)
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (cbrt.f64 (/.f64 y (sinh.f64 y))))) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) (/.f64 y (*.f64 (sinh.f64 y) 2))) 2)
(/.f64 (/.f64 (cos.f64 x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) -1) y)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (cos.f64 x)))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y))))
(neg.f64 (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 y)))))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (sinh.f64 y)))))
(.f64 (.f64 (sinh.f64 y) 2) 1/2)
(*.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 (sinh.f64 y)))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (neg.f64 (sinh.f64 y)))))
(*.f64 -1 (neg.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (neg.f64 (cbrt.f64 (sinh.f64 y))))
(.f64 1/2 (.f64 (sinh.f64 y) 2))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y))))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(.f64 (.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))) (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sinh.f64 y) 1)
(/.f64 1 (/.f64 1 (sinh.f64 y)))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(/.f64 2 (/.f64 2 (sinh.f64 y)))
(/.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (.f64 (sinh.f64 y) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (.f64 (sinh.f64 y) 2))))
(/.f64 (*.f64 -2 (sinh.f64 y)) -2)
(/.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (.f64 2 (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) 1) -2)
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) 1/2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (neg.f64 (*.f64 -2 (sinh.f64 y))) 2)
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(neg.f64 (neg.f64 (sinh.f64 y)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2))
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))

Outputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 1/48 (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 1/48 (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x))
(fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
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(fabs.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(*.f64 1 (sinh.f64 y))
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 y)))))
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (sinh.f64 y)))))
(sinh.f64 y)
(.f64 (.f64 (sinh.f64 y) 2) 1/2)
(sinh.f64 y)
(*.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 (sinh.f64 y)))))
(sinh.f64 y)
(.f64 (.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (neg.f64 (sinh.f64 y)))))
(sinh.f64 y)
(*.f64 -1 (neg.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (neg.f64 (cbrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(.f64 1/2 (.f64 (sinh.f64 y) 2))
(sinh.f64 y)
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(sinh.f64 y)
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y))))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(sinh.f64 y)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(.f64 (.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))) (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))
(sinh.f64 y)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 1 (/.f64 1 (sinh.f64 y)))
(sinh.f64 y)
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(sinh.f64 y)
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(sinh.f64 y)
(/.f64 2 (/.f64 2 (sinh.f64 y)))
(sinh.f64 y)
(/.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (.f64 (sinh.f64 y) 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) 2) (sqrt.f64 (*.f64 2 (sinh.f64 y))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (.f64 (sinh.f64 y) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (cbrt.f64 (.f64 2 (sinh.f64 y)))) (/.f64 2 (cbrt.f64 (.f64 2 (sinh.f64 y)))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (/.f64 2 (cbrt.f64 (.f64 2 (sinh.f64 y))))))
(/.f64 (*.f64 -2 (sinh.f64 y)) -2)
(sinh.f64 y)
(/.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (fma.f64 (exp.f64 y) 2 (/.f64 2 (exp.f64 y))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y -2))) (fma.f64 (exp.f64 y) 2 (/.f64 2 (exp.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (.f64 2 (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 2) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 (+.f64 (exp.f64 (+.f64 y y)) 1) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (.f64 2 (+.f64 (exp.f64 (.f64 y -2)) (+.f64 1 (exp.f64 (+.f64 y y))))))
(/.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 2)) (sqrt.f64 (.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) 1) -2)
(sinh.f64 y)
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 2)) (sqrt.f64 (.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) 1/2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(/.f64 1/2 (/.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y -2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.f64 (exp.f64 (+.f64 y y)) (.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (/.f64 (+.f64 (+.f64 (exp.f64 (+.f64 y y)) 1) (exp.f64 (-.f64 (neg.f64 y) y))) 1/2))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (/.f64 (+.f64 (exp.f64 (*.f64 y -2)) (+.f64 1 (exp.f64 (+.f64 y y)))) 1/2))
(/.f64 (neg.f64 (*.f64 -2 (sinh.f64 y))) 2)
(sinh.f64 y)
(pow.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(sinh.f64 y)
(neg.f64 (neg.f64 (sinh.f64 y)))
(sinh.f64 y)
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2))
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(fabs.f64 (sinh.f64 y))
(log.f64 (exp.f64 (sinh.f64 y)))
(sinh.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(sinh.f64 y)

eval73.0ms (1.1%)

Compiler: Compiled 4338 to 1586 computations (63.4% saved)

prune44.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	267	6	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	6	274

Error

Counts

274 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	2.26%	(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
▶	0.03%	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.24%	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
▶	0.65%	(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
▶	1.75%	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
▶	2.51%	(cos.f64 x)

Compiler

Compiled 120 to 84 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sinh.f64 y)
✓	0.02%	(/.f64 y (sinh.f64 y))
✓	0.03%	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`associate-*r/`
1534×	`associate-/l*`
1092×	`associate-*l/`
1014×	`*-commutative`
540×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	192	32
2	2677	32

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

Inputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 y (sinh.f64 y))

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

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

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

882×	`distribute-rgt-in`
876×	`distribute-lft-in`
570×	`distribute-lft-neg-out`
500×	`distribute-lft-neg-in`
500×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	5585
1	1001	4477
2	3975	4473

Stop Event

1×	node limit

Counts

179 → 209

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.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 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(.f64 1 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(.f64 (cbrt.f64 (sinh.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (cos.f64 x) 1))
(.f64 (neg.f64 (cos.f64 x)) (.f64 -1 (/.f64 (sinh.f64 y) y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) (neg.f64 y)))
(.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) (sqrt.f64 (sinh.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cos.f64 x) y)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 1 y))
(.f64 (/.f64 1 y) (.f64 (cos.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 -1 (/.f64 (sinh.f64 y) y)) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (sinh.f64 y)) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 y (sinh.f64 y))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cos.f64 x) -1) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(.f64 (/.f64 1 (/.f64 y (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sinh.f64 y)))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) 1) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) -1) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) -1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 y))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y 1)) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) -1) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)) -1)
(neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (sinh.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sinh.f64 y)))) 1)
(*.f64 y (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 1 (/.f64 y (sinh.f64 y)))
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) y)
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sinh.f64 y))))
(.f64 2 (/.f64 y (.f64 (sinh.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (/.f64 (sqrt.f64 y) 1))
(*.f64 (/.f64 (cbrt.f64 y) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (cbrt.f64 y) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 y 1) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 2)) (*.f64 y 2))
(.f64 (/.f64 y (.f64 (sinh.f64 y) 2)) 2)
(*.f64 -1 (/.f64 (neg.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)) (cbrt.f64 y))
(.f64 (/.f64 y (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 (sinh.f64 y) 2))) 2)
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 1 (sinh.f64 y)))
(.f64 (/.f64 (/.f64 y 1) (.f64 (sinh.f64 y) 2)) 2)
(.f64 (/.f64 (/.f64 y 1) (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(.f64 (/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))

Outputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 (*.f64 1/48 (pow.f64 x 4)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4))))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 (*.f64 1/48 (pow.f64 x 4)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x))
(fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x)) (.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (fma.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (.f64 y y)))) (.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 y 6) 1/5040) (.f64 (pow.f64 y 4) 1/120))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360)))
(+.f64 1 (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 7/360)))
(+.f64 1 (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -31/15120 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -31/15120 (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 7/360))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 1 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
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(neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(fabs.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(fabs.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sinh.f64 y)))) 1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 y (/.f64 1 (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 1 (/.f64 y (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 1 (sinh.f64 y)) y)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sinh.f64 y) 2)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (sqrt.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (/.f64 (sqrt.f64 y) 1))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (cbrt.f64 y) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (cbrt.f64 y) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 y 1) (/.f64 1 (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 2)) (*.f64 y 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(.f64 (/.f64 y (.f64 (sinh.f64 y) 2)) 2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 -1 (/.f64 (neg.f64 y) (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)) (cbrt.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(.f64 (/.f64 y (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 (sinh.f64 y) 2))) 2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 1 (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(.f64 (/.f64 (/.f64 y 1) (.f64 (sinh.f64 y) 2)) 2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(.f64 (/.f64 (/.f64 y 1) (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(.f64 (/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(.f64 (/.f64 y (.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 2 (sinh.f64 y)))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(.f64 (/.f64 y (.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2))
(.f64 (/.f64 y (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (cbrt.f64 2))
(.f64 (/.f64 (/.f64 y (cbrt.f64 (.f64 2 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(fabs.f64 (/.f64 y (sinh.f64 y)))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))

localize3.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
✓	0.29%	(.f64 (.f64 y y) 1/6)

Compiler

Compiled 33 to 17 computations (48.5% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
0.0ms	x	@	0	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
0.0ms	y	@	0	(.f64 (.f64 y y) 1/6)
0.0ms	y	@	inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
0.0ms	y	@	inf	(.f64 (.f64 y y) 1/6)

rewrite104.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`*-commutative`
848×	`unswap-sqr`
652×	`swap-sqr`
528×	`distribute-lft-in`
514×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	246	38
2	3044	38

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 y 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 y (*.f64 y 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y 1/6) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 y (*.f64 y -1/6)))) (+.f64 (/.f64 (*.f64 1/36 (pow.f64 y 4)) (+.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 (*.f64 1/216 (pow.f64 (*.f64 y y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 (*.f64 y y) 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))))))))

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

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1500×	`associate-/l*`
1028×	`distribute-lft-in`
928×	`distribute-rgt-in`
912×	`*-commutative`
874×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	4232
1	650	3872
2	2463	3754

Stop Event

1×	node limit

Counts

106 → 137

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 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (.f64 -1/720 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (.f64 1/6 (pow.f64 y 2))))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 y (.f64 y 1/6)) 0)
(+.f64 1 (-.f64 (.f64 y (.f64 y 1/6)) 1))
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y 1/6) 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (.f64 y (.f64 y -1/6)))) (+.f64 (/.f64 (.f64 1/36 (pow.f64 y 4)) (+.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 (.f64 1/216 (pow.f64 (.f64 y y) 3)) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y 1/6)))))
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 y y) 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))))
(+.f64 (cos.f64 x) (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)))
(+.f64 (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x))))
(-.f64 (+.f64 (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(/.f64 (cos.f64 x) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (+.f64 1 (.f64 y (*.f64 y -1/6))) (cos.f64 x)))
(/.f64 (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3))) (/.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (*.f64 y -1/6)))) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (+.f64 1 (.f64 y (.f64 y -1/6))))
(/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 1/36 (pow.f64 y 4)))) (.f64 (cos.f64 x) (+.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 y 1/6)) (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 y 1/6)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (.f64 y 1/6)) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 1/36 (pow.f64 y 4)) 1)) (-.f64 (.f64 y (.f64 y 1/6)) 1))
(/.f64 (.f64 (cos.f64 x) (neg.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (+.f64 -1 (neg.f64 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (cos.f64 x) (+.f64 -1 (neg.f64 (.f64 1/216 (pow.f64 (.f64 y y) 3))))) (neg.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (+.f64 1 (.f64 y (*.f64 y -1/6))))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3))))) (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 1/36 (pow.f64 y 4))))) (.f64 (cos.f64 x) (+.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 y 1/6)) (cos.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 y 1/6)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (.f64 y (.f64 y 1/6)) 1))
(/.f64 (.f64 (neg.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (cos.f64 x)) (+.f64 -1 (neg.f64 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) (cos.f64 x)) (neg.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (+.f64 1 (.f64 y (*.f64 y -1/6))))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) 1) (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 1/36 (pow.f64 y 4)))) 1) (.f64 (cos.f64 x) (+.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 y 1/6)) (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 y 1/6)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (+.f64 1 (.f64 y (.f64 y -1/6))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6))))) (sqrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cbrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))) (cbrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))))) (cbrt.f64 (+.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) 1) (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6)))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (*.f64 y -1/6))))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) (.f64 (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6))))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (*.f64 y -1/6))))))
(pow.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (*.f64 y 1/6) 1)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(fma.f64 (cos.f64 x) 1 (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)))
(fma.f64 1 (cos.f64 x) (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)))

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 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1)) (.f64 1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/6 (*.f64 y y) 1)))))
(.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1)) (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 y (.f64 1/6 y) 1)) (.f64 1/6 (*.f64 y y)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 1/6 (.f64 y y) (.f64 (fma.f64 1/6 (.f64 y y) 1) (*.f64 (pow.f64 x 4) 1/24)))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/720 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (.f64 1/6 (pow.f64 y 2))))))
(fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 y (.f64 1/6 y) 1)) (+.f64 1 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1)) (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 y (.f64 1/6 y) 1)) (.f64 1/6 (*.f64 y y))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 1/6 (.f64 y y) (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (pow.f64 x 4) 1/24)))) (fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 1/6 (*.f64 y y) 1)) 1))
(fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 1/6 (.f64 y y) 1)) (+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4))))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 (.f64 1/6 (cos.f64 x)) (*.f64 y y))
(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))
(.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 (.f64 1/6 (cos.f64 x)) (*.f64 y y))
(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))
(.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 y (.f64 y 1/6)) 0)
(.f64 1/6 (.f64 y y))
(+.f64 1 (-.f64 (.f64 y (.f64 y 1/6)) 1))
(.f64 1/6 (.f64 y y))
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)
(.f64 1/6 (.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y 1/6) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 1/6 y) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 y y) 1))) -2)
(-.f64 (/.f64 1 (+.f64 1 (.f64 y (.f64 y -1/6)))) (+.f64 (/.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (*.f64 y -1/6)))) 1))
(-.f64 (/.f64 1 (+.f64 1 (.f64 y (.f64 y -1/6)))) (+.f64 1 (/.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (*.f64 y -1/6))))))
(+.f64 (-.f64 (/.f64 1 (fma.f64 y (.f64 y -1/6) 1)) (.f64 (/.f64 1/36 (fma.f64 y (*.f64 y -1/6) 1)) (pow.f64 y 4))) -1)
(+.f64 (/.f64 1 (fma.f64 y (.f64 y -1/6) 1)) (+.f64 -1 (/.f64 -1/36 (/.f64 (fma.f64 y (.f64 y -1/6) 1) (pow.f64 y 4)))))
(pow.f64 (.f64 y (.f64 y 1/6)) 1)
(.f64 1/6 (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 3)
(.f64 1/6 (.f64 y y))
(pow.f64 (.f64 1/216 (pow.f64 (.f64 y y) 3)) 1/3)
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 y y) 3)))
(cbrt.f64 (*.f64 1/216 (pow.f64 y 6)))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y)))
(.f64 1/6 (.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y 1/6)))))
(.f64 1/6 (.f64 y y))
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 y y) 3)))
(cbrt.f64 (*.f64 1/216 (pow.f64 y 6)))
(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))
(+.f64 (cos.f64 x) (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 1)
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
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(/.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (/.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 x) (.f64 (.f64 1/6 (.f64 y y)) (.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) -1))))) (pow.f64 (cos.f64 x) 3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6))))))
(/.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (/.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) (+.f64 1 (.f64 y (.f64 y -1/6))))) (sqrt.f64 (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/216 (pow.f64 y 6) 1)) (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1)))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))))
(.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (/.f64 (sqrt.f64 (fma.f64 1/216 (pow.f64 y 6) 1)) (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))) (.f64 (cos.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))))
(.f64 (/.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (fma.f64 y (.f64 y -1/6) 1))) (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1)))
(.f64 (/.f64 (cos.f64 x) (sqrt.f64 (fma.f64 y (.f64 y -1/6) 1))) (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (+.f64 1 (.f64 y (.f64 y -1/6))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (+.f64 1 (.f64 y (*.f64 y -1/6))) (cos.f64 x)))
(.f64 (cos.f64 x) (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (.f64 y -1/6) 1)))
(.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (/.f64 (cos.f64 x) (fma.f64 y (.f64 y -1/6) 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6))))) (sqrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (+.f64 1 (.f64 y (*.f64 y -1/6))) (cos.f64 x)))
(.f64 (cos.f64 x) (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (.f64 y -1/6) 1)))
(.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (/.f64 (cos.f64 x) (fma.f64 y (.f64 y -1/6) 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cbrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))) (cbrt.f64 (+.f64 1 (.f64 y (.f64 y -1/6)))))) (cbrt.f64 (+.f64 1 (.f64 y (*.f64 y -1/6)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (+.f64 1 (.f64 y (*.f64 y -1/6))) (cos.f64 x)))
(.f64 (cos.f64 x) (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (.f64 y -1/6) 1)))
(.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (/.f64 (cos.f64 x) (fma.f64 y (.f64 y -1/6) 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) 1) (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6)))))
(.f64 (/.f64 (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3))) (fma.f64 1/36 (pow.f64 y 4) (+.f64 1 (.f64 y (*.f64 y -1/6))))) (cos.f64 x))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)) (fma.f64 1/216 (pow.f64 y 6) 1)))
(.f64 (cos.f64 x) (/.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6)))))) (sqrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (*.f64 y -1/6))))))
(.f64 (/.f64 (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3))) (fma.f64 1/36 (pow.f64 y 4) (+.f64 1 (.f64 y (*.f64 y -1/6))))) (cos.f64 x))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)) (fma.f64 1/216 (pow.f64 y 6) 1)))
(.f64 (cos.f64 x) (/.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3)))) (.f64 (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (.f64 y -1/6))))))) (cbrt.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 y (*.f64 y -1/6))))))
(.f64 (/.f64 (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3))) (fma.f64 1/36 (pow.f64 y 4) (+.f64 1 (.f64 y (*.f64 y -1/6))))) (cos.f64 x))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)) (fma.f64 1/216 (pow.f64 y 6) 1)))
(.f64 (cos.f64 x) (/.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1))))
(pow.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 1)
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 2)
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 3)
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 3) 1/3)
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 2))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1)) 2))
(fabs.f64 (.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (*.f64 y 1/6) 1)) (cos.f64 x)))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 3))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3) (pow.f64 (cos.f64 x) 3)))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (cos.f64 x) 1 (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1 (cos.f64 x) (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 y 1/6)) (cos.f64 x)))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sinh.f64 y)
✓	0.23%	(/.f64 (cos.f64 x) y)
✓	0.8%	(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`associate-*r/`
932×	`*-commutative`
844×	`associate-*l/`
838×	`associate-/r*`
698×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	186	32
2	2447	32

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

Inputs
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(/.f64 (cos.f64 x) y)

Outputs

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

simplify125.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-/l*`
1016×	`distribute-lft-in`
1008×	`distribute-rgt-in`
676×	`associate-/l/`
632×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	515	6551
1	1373	6413
2	6122	6413

Stop Event

1×	node limit

Counts

211 → 280

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1)
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (cos.f64 x) (/.f64 (.f64 y 2) (.f64 (sinh.f64 y) 2)))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(/.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 1 (/.f64 (/.f64 (.f64 y 2) (cos.f64 x)) (.f64 (sinh.f64 y) 2)))
(/.f64 1 (*.f64 (/.f64 y (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 y (cos.f64 x)) (sqrt.f64 (sinh.f64 y))))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 (cos.f64 x))))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) (sqrt.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 y (cos.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 y (cos.f64 x)) (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (cos.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 y (*.f64 (sinh.f64 y) (cbrt.f64 (cos.f64 x)))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 y 1))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (.f64 (neg.f64 y) 2) (.f64 (sinh.f64 y) 2)))
(/.f64 (.f64 (sinh.f64 y) 2) (/.f64 (.f64 y 2) (cos.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 y (cos.f64 x)) 1/2))
(/.f64 (.f64 (sinh.f64 y) 2) (/.f64 (/.f64 (.f64 y 2) (cos.f64 x)) 1))
(/.f64 2 (/.f64 (/.f64 (*.f64 y 2) (cos.f64 x)) (sinh.f64 y)))
(/.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (/.f64 (/.f64 (.f64 y 2) (cos.f64 x)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))))
(/.f64 (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (/.f64 y (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (/.f64 (/.f64 (.f64 y 2) (cos.f64 x)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))) (/.f64 y (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (/.f64 y (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (cos.f64 x))) (/.f64 y (sqrt.f64 (cos.f64 x))))
(/.f64 (.f64 (/.f64 (cos.f64 x) y) (.f64 (sinh.f64 y) 2)) 2)
(/.f64 (.f64 (cos.f64 x) (.f64 (sinh.f64 y) 2)) (*.f64 y 2))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (cos.f64 x))) (/.f64 y (.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (.f64 (/.f64 (*.f64 y 2) (cos.f64 x)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (.f64 (/.f64 (.f64 y 2) (cos.f64 x)) (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 (sinh.f64 y) 2)) (*.f64 (neg.f64 y) 2))
(/.f64 (.f64 -2 (sinh.f64 y)) (.f64 (/.f64 y (cos.f64 x)) -2))
(/.f64 (.f64 (/.f64 (cos.f64 x) y) (.f64 -2 (sinh.f64 y))) -2)
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 y (cbrt.f64 (cos.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) 1)) y)
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (sinh.f64 y) -1) (/.f64 (neg.f64 y) (cos.f64 x)))
(/.f64 (.f64 1 (.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) 2))) 2)
(/.f64 (.f64 1 (.f64 (cos.f64 x) (.f64 (sinh.f64 y) 2))) (.f64 y 2))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)))) (cbrt.f64 y))
(/.f64 (.f64 1 (.f64 (neg.f64 (cos.f64 x)) (.f64 (sinh.f64 y) 2))) (.f64 (neg.f64 y) 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y)))) (sqrt.f64 y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y)))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sinh.f64 y)) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 (/.f64 (cos.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (/.f64 (cos.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (cos.f64 x) y))) 1) (sqrt.f64 (/.f64 y (cos.f64 x))))
(/.f64 (.f64 (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (cos.f64 x))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (neg.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)) 1) (cbrt.f64 (/.f64 y (cos.f64 x))))
(/.f64 (.f64 (.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (sinh.f64 y)) y)
(/.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (sinh.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (sinh.f64 y)) (cbrt.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sinh.f64 y)) (/.f64 y (cbrt.f64 (cos.f64 x))))
(/.f64 (*.f64 -1 (sinh.f64 y)) (/.f64 (neg.f64 y) (cos.f64 x)))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) -2)
(/.f64 (.f64 (.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) 2)) 1) 2)
(/.f64 (.f64 (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (.f64 (sinh.f64 y) 2)) 1) (.f64 y 2))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) 1) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 (sinh.f64 y) 2)) 1) (.f64 (neg.f64 y) 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (*.f64 (/.f64 (cos.f64 x) y) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) (sqrt.f64 y))
(/.f64 (.f64 1 (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (cos.f64 x) y)))) (sqrt.f64 (/.f64 y (cos.f64 x))))
(/.f64 (.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (cos.f64 x) y)))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (cos.f64 x) y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (*.f64 (sinh.f64 y) 2)) (pow.f64 y -1)) 2)
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (sinh.f64 y) 1) (/.f64 y (cos.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) (cbrt.f64 (/.f64 y (cos.f64 x))))) (cbrt.f64 (/.f64 y (cos.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sqrt.f64 (cos.f64 x)))) (/.f64 y (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (/.f64 y (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (sqrt.f64 (cos.f64 x)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (cos.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) -1) y)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (sinh.f64 y)))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (cos.f64 x) y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) y))) 1)
(*.f64 (cos.f64 x) (pow.f64 y -1))
(*.f64 (/.f64 (cos.f64 x) y) 1)
(*.f64 1 (/.f64 (cos.f64 x) y))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (pow.f64 y -1) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) y) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cos.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 -1 y) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (/.f64 (cos.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (/.f64 (cos.f64 x) y))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)))) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))))
(pow.f64 (/.f64 (cos.f64 x) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) 1/3)
(pow.f64 (/.f64 y (cos.f64 x)) -1)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) y))
(neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) 1))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 -1 y)))
(neg.f64 (*.f64 1 (/.f64 (cos.f64 x) (neg.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) y)))

Outputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 1/48 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (pow.f64 x 4)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 1/48 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(/.f64 (/.f64 (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) -1) y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (/.f64 (cos.f64 x) (sqrt.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) 1) (sqrt.f64 y))
(/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (/.f64 (cos.f64 x) (sqrt.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 (cbrt.f64 y))) (/.f64 (cos.f64 x) (fabs.f64 (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 y) (/.f64 (cos.f64 x) (sqrt.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) 1) (cbrt.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 3)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (neg.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(fabs.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (cos.f64 x) y) 3)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) y))) 1)
(/.f64 (cos.f64 x) y)
(*.f64 (cos.f64 x) (pow.f64 y -1))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (cos.f64 x) y) 1)
(/.f64 (cos.f64 x) y)
(*.f64 1 (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) y)
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(/.f64 (cos.f64 x) y)
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(/.f64 (cos.f64 x) y)
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2))
(/.f64 (cos.f64 x) y)
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(*.f64 (pow.f64 y -1) (cos.f64 x))
(/.f64 (cos.f64 x) y)
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 y))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (sqrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) y) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (cos.f64 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cos.f64 x) (cbrt.f64 y)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (cos.f64 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 -1 y) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (cos.f64 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (cos.f64 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y) (cbrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (/.f64 (cos.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (/.f64 (cos.f64 x) y))))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)))) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)))))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))))
(pow.f64 (/.f64 (cos.f64 x) y) 1)
(/.f64 (cos.f64 x) y)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) 2)
(/.f64 (cos.f64 x) y)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 3)
(/.f64 (cos.f64 x) y)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) 1/3)
(/.f64 (cos.f64 x) y)
(pow.f64 (/.f64 y (cos.f64 x)) -1)
(/.f64 (cos.f64 x) y)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))
(/.f64 (cos.f64 x) y)
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) y))
(/.f64 (cos.f64 x) y)
(neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) 1))
(/.f64 (cos.f64 x) y)
(neg.f64 (*.f64 (cos.f64 x) (/.f64 -1 y)))
(/.f64 (cos.f64 x) y)
(neg.f64 (*.f64 1 (/.f64 (cos.f64 x) (neg.f64 y))))
(/.f64 (cos.f64 x) y)
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))
(fabs.f64 (/.f64 (cos.f64 x) y))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) y))))
(/.f64 (cos.f64 x) y)
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3))
(/.f64 (cos.f64 x) y)
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(exp.f64 (log.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(sinh.f64 y)
	0.02%	(/.f64 y (sinh.f64 y))
✓	0.24%	(/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x))
✓	0.31%	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))

Compiler

Compiled 29 to 9 computations (69% saved)

series40.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	y	@	-inf	(/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x))
3.0ms	x	@	-inf	(/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x))
1.0ms	x	@	0	(/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x))
1.0ms	y	@	inf	(/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x))
1.0ms	x	@	inf	(/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x))

rewrite103.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`associate-/r/`
922×	`unswap-sqr`
792×	`swap-sqr`
600×	`associate-/l/`
496×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	233	42
2	3162	42

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
(/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x))

Outputs

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simplify175.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1224×	`distribute-lft-in`
934×	`*-commutative`
762×	`associate-*r/`
756×	`associate-*l/`
648×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	580	10448
1	1674	8314
2	6007	8312

Stop Event

1×	node limit

Counts

252 → 311

Calls

Call 1

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

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

eval319.0ms (4.8%)

Compiler: Compiled 22283 to 9022 computations (59.5% saved)

prune264.0ms (3.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1288	4	1292
Fresh	1	0	1
Picked	0	1	1
Done	0	4	4
Total	1289	9	1298

Error

Counts

1298 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.24%	(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (cos.f64 x)))
✓	0.03%	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.24%	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
▶	44.56%	(/.f64 1 (/.f64 y (sinh.f64 y)))
✓	0.65%	(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
▶	3.13%	(*.f64 (/.f64 (cos.f64 x) y) y)
✓	1.75%	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
▶	95.68%	(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))
✓	2.51%	(cos.f64 x)

Compiler

Compiled 82 to 58 computations (29.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.09%	(.f64 (.f64 (cos.f64 x) y) y)
✓	0.13%	(*.f64 (cos.f64 x) y)
✓	0.32%	(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))

Compiler

Compiled 25 to 8 computations (68% saved)

series4.0ms (0.1%)

Counts

3 → 52

Calls

18 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1878×	`add-sqr-sqrt`
1860×	`*-un-lft-identity`
1722×	`add-cube-cbrt`
1696×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	199	51
2	2340	51

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))
(*.f64 (cos.f64 x) y)
(.f64 (.f64 (cos.f64 x) y) y)

Outputs

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

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

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

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1262×	`log-prod`
928×	`unswap-sqr`
730×	`fma-def`
618×	`+-commutative`
614×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1987
1	341	1979
2	1317	1933
3	4758	1907

Stop Event

1×	node limit

Counts

91 → 94

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/4320 (.f64 (pow.f64 y 2) (pow.f64 x 6))) (+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
y
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y)
(+.f64 (.f64 1/24 (.f64 y (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y))
(+.f64 (.f64 1/24 (.f64 y (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 y (.f64 -1/720 (.f64 y (pow.f64 x 6))))))
(pow.f64 y 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (pow.f64 y 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (pow.f64 y 2) (.f64 -1/720 (.f64 (pow.f64 y 2) (pow.f64 x 6))))))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6)))) 1)
(pow.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6)) 1)
(pow.f64 (.f64 (.f64 (sqrt.f64 (cos.f64 x)) y) (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6)) 2))
(log.f64 (exp.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6)) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (.f64 (.f64 y y) 1/6))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) y))) 1)
(pow.f64 (*.f64 (cos.f64 x) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) y)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) y)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) y)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 y y)))) 1)
(pow.f64 (.f64 (cos.f64 x) (.f64 y y)) 1)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 x)) y) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 y y))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 y y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 y y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) (cos.f64 x)) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 y y)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 y y))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 y y))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 y y))))

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/6 (.f64 y y) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (.f64 (*.f64 x x) -1/12)))
(.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) 1/6))
(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
(+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(fma.f64 1/144 (.f64 (.f64 y y) (pow.f64 x 4)) (fma.f64 1/6 (.f64 y y) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x)))))
(fma.f64 1/144 (.f64 y (.f64 y (pow.f64 x 4))) (fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (.f64 (*.f64 x x) -1/12))))
(fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) (.f64 1/144 (pow.f64 x 4)))))
(.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) (+.f64 1/6 (*.f64 1/144 (pow.f64 x 4)))))
(+.f64 (.f64 -1/4320 (.f64 (pow.f64 y 2) (pow.f64 x 6))) (+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(fma.f64 -1/4320 (.f64 (.f64 y y) (pow.f64 x 6)) (fma.f64 1/144 (.f64 (.f64 y y) (pow.f64 x 4)) (fma.f64 1/6 (.f64 y y) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))))
(fma.f64 -1/4320 (.f64 (.f64 y y) (pow.f64 x 6)) (fma.f64 1/144 (.f64 y (.f64 y (pow.f64 x 4))) (fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (.f64 (*.f64 x x) -1/12)))))
(+.f64 (.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) 1/6)) (.f64 (.f64 y y) (+.f64 (.f64 1/144 (pow.f64 x 4)) (.f64 -1/4320 (pow.f64 x 6)))))
(.f64 (.f64 y y) (+.f64 (+.f64 1/6 (.f64 -1/12 (.f64 x x))) (+.f64 (.f64 1/144 (pow.f64 x 4)) (.f64 -1/4320 (pow.f64 x 6)))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 (.f64 1/6 (cos.f64 x)) (*.f64 y y))
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 (.f64 1/6 (cos.f64 x)) (*.f64 y y))
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
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y
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(fma.f64 (.f64 y y) (.f64 (.f64 x x) -1/2) (fma.f64 y y (.f64 (.f64 y y) (+.f64 (.f64 (pow.f64 x 6) -1/720) (*.f64 (pow.f64 x 4) 1/24)))))
(+.f64 (.f64 y y) (.f64 (.f64 y y) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/24) (.f64 (pow.f64 x 6) -1/720)) (.f64 (*.f64 x x) -1/2))))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
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(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
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(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (.f64 y y) (cos.f64 x))
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(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 y 2))
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(*.f64 (cos.f64 x) (pow.f64 y 2))
(.f64 (.f64 y y) (cos.f64 x))
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(.f64 (.f64 y y) (cos.f64 x))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6)))) 1)
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(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
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(pow.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6)) 1)
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(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 (*.f64 y y) 1/6))) 3)
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(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 y y)))) 1)
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(pow.f64 (.f64 (cos.f64 x) (.f64 y y)) 1)
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 x)) y) 2)
(.f64 (.f64 y y) (cos.f64 x))
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(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 y y))) 3)
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 y y)) 3) 1/3)
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 y y)) 2))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) (cos.f64 x)) y))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 y y)))))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 y y)) 3))
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(.f64 y (.f64 y (cos.f64 x)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 y y))))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 y y))))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (*.f64 y y))) 1))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 y y))))
(.f64 (.f64 y y) (cos.f64 x))
(.f64 y (.f64 y (cos.f64 x)))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.23%	(/.f64 (cos.f64 x) y)
✓	0.78%	(*.f64 (/.f64 (cos.f64 x) y) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`add-sqr-sqrt`
1726×	`*-un-lft-identity`
1600×	`add-cube-cbrt`
1574×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	163	17
2	2119	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (/.f64 (cos.f64 x) y) y)

Outputs

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1380×	`associate-r`
1138×	`associate-l`
1056×	`times-frac`
1042×	`associate-+r+`
960×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	315
1	182	311
2	666	307
3	6679	307

Stop Event

1×	node limit

Counts

47 → 34

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(sinh.f64 y)
	0.02%	(/.f64 y (sinh.f64 y))

Compiler

Compiled 16 to 7 computations (56.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sinh.f64 y)
✓	0.24%	(/.f64 1 (cos.f64 x))
✓	0.31%	(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (cos.f64 x)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1158×	`*-commutative`
854×	`unswap-sqr`
830×	`associate-/r/`
784×	`associate-/l/`
690×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	233	32
2	3216	32

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

Inputs
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (cos.f64 x)))
(/.f64 1 (cos.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (*.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (cos.f64 x))) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (cos.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) y) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (cos.f64 x))) (/.f64 1 (*.f64 y (pow.f64 (cos.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (pow.f64 (cos.f64 x) -1/2))) (*.f64 (sinh.f64 y) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (*.f64 (/.f64 (/.f64 1 y) 1) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 y) 1) (cbrt.f64 (cos.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (cos.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (pow.f64 (cos.f64 x) -1/2)) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cos.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cos.f64 x) -1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (pow.f64 (cos.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cos.f64 x)))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (cos.f64 x))) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cos.f64 x))) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (/.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (/.f64 y 1)) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (/.f64 y (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (/.f64 y (pow.f64 (cbrt.f64 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simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1378×	`associate-/l/`
1314×	`unswap-sqr`
1040×	`associate-/r/`
544×	`distribute-rgt-in`
536×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	4546
1	873	4316
2	3146	4312

Stop Event

1×	node limit

Counts

146 → 187

Calls

Call 1

Inputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 (.f64 61/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))) 1)
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(.f64 1 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))
(.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))
(.f64 (cbrt.f64 (cos.f64 x)) (.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (cos.f64 x)))
(.f64 -1 (.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (cos.f64 x))))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y)))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(.f64 (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(.f64 (.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2))))
(*.f64 (/.f64 1 (/.f64 y (cos.f64 x))) (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (cos.f64 x))))
(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (cos.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) y) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (cos.f64 x)))
(.f64 (.f64 (sinh.f64 y) (sqrt.f64 (cos.f64 x))) (/.f64 1 (*.f64 y (pow.f64 (cos.f64 x) -1/2))))
(.f64 (/.f64 1 (.f64 y (pow.f64 (cos.f64 x) -1/2))) (*.f64 (sinh.f64 y) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (.f64 (/.f64 (/.f64 1 y) 1) (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (/.f64 (/.f64 1 y) 1) (cbrt.f64 (cos.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (cos.f64 x) -2))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (pow.f64 (cos.f64 x) -1/2)) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cos.f64 x) -1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (pow.f64 (cos.f64 x) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cos.f64 x)))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (cos.f64 x))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cos.f64 x))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (/.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(.f64 (/.f64 (cos.f64 x) (cbrt.f64 (.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y 1)) (sinh.f64 y))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(.f64 (/.f64 (.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 (cos.f64 x))) 1) (sqrt.f64 (cos.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 (cos.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (pow.f64 (cos.f64 x) -2))) 1) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (pow.f64 (cos.f64 x) -2))) -1) (cbrt.f64 (neg.f64 (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (pow.f64 (cos.f64 x) -2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))) (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))) (.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))
(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3) 1/3)
(pow.f64 (.f64 y (/.f64 1 (.f64 (sinh.f64 y) (cos.f64 x)))) -1)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (cos.f64 x))))
(neg.f64 (.f64 1 (.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (cos.f64 x)))))
(neg.f64 (.f64 (.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (cos.f64 x))) 1))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (cos.f64 x))) 1))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (/.f64 1 (pow.f64 (cos.f64 x) 3))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 x)))) 1)
(*.f64 1 (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 x)) 1)
(*.f64 (pow.f64 (cos.f64 x) -1/2) (pow.f64 (cos.f64 x) -1/2))
(*.f64 (pow.f64 (cos.f64 x) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (cos.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (/.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 -1 (cos.f64 x)) -1)
(*.f64 -1 (/.f64 -1 (cos.f64 x)))
(*.f64 (sqrt.f64 (/.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 (/.f64 -1 (cos.f64 x)))))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (cos.f64 x))) (cbrt.f64 (/.f64 -1 (cos.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (cos.f64 x))) (/.f64 -1 (sqrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (/.f64 -1 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) -1) (pow.f64 (sqrt.f64 (cos.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) -1))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) (cbrt.f64 (/.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (cos.f64 x)))) (sqrt.f64 (/.f64 -1 (cos.f64 x))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (cos.f64 x))) (cbrt.f64 (/.f64 -1 (cos.f64 x))))) (cbrt.f64 (/.f64 -1 (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (cos.f64 x)))) (pow.f64 (cos.f64 x) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) (cbrt.f64 (/.f64 1 (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 1 (cos.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 1 (cos.f64 x)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2)))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 x))))) (*.f64 (cbrt.f64 (/.f64 1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (cbrt.f64 (pow.f64 (cos.f64 x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) -2))) (cbrt.f64 (pow.f64 (cos.f64 x) -1/2))))
(pow.f64 (/.f64 1 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (cos.f64 x) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 x))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 3)) 1/3)
(pow.f64 (cos.f64 x) -1)
(neg.f64 (/.f64 -1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (cos.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 x))))

Outputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 y y) 1/6) (.f64 (pow.f64 y 4) 1/120))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x)) (.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (fma.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6))) (.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 y 6) 1/5040) (.f64 (pow.f64 y 4) 1/120))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 -1/4 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (.f64 x x))))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 (/.f64 -1/4 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (*.f64 1/48 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (pow.f64 x 4)))))
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(/.f64 1 (cos.f64 x))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 3)))
(pow.f64 (cos.f64 x) -1)
(/.f64 1 (cos.f64 x))
(neg.f64 (/.f64 -1 (cos.f64 x)))
(/.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (cos.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 x))))
(/.f64 1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 x)))))
(/.f64 1 (cos.f64 x))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 x))))
(/.f64 1 (cos.f64 x))
(exp.f64 (neg.f64 (log.f64 (cos.f64 x))))
(/.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 x))))
(/.f64 1 (cos.f64 x))

eval151.0ms (2.3%)

Compiler: Compiled 10082 to 4676 computations (53.6% saved)

prune249.0ms (3.7%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	636	8	644
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	636	17	653

Error

Counts

653 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.24%	(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (cos.f64 x)))
✓	0.03%	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
▶	2.65%	(/.f64 y (/.f64 y (cos.f64 x)))
✓	0.24%	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
✓	44.56%	(/.f64 1 (/.f64 y (sinh.f64 y)))
▶	44.98%	(/.f64 1 (+.f64 1 (.f64 (.f64 y y) -1/6)))
▶	49.28%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	0.65%	(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
✓	3.13%	(*.f64 (/.f64 (cos.f64 x) y) y)
▶	45.36%	(*.f64 (/.f64 1 y) y)
	97.02%	(.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) 1/6))
✓	1.75%	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
	97.02%	(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))
✓	95.68%	(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))
▶	96.16%	(.f64 1/6 (.f64 y y))
✓	2.51%	(cos.f64 x)
	45.11%	1

Compiler

Compiled 225 to 163 computations (27.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.19%	(/.f64 y (cos.f64 x))
✓	0.27%	(/.f64 y (/.f64 y (cos.f64 x)))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`add-sqr-sqrt`
1658×	`*-un-lft-identity`
1546×	`add-cube-cbrt`
1522×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	168	16
2	2376	16

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(/.f64 y (/.f64 y (cos.f64 x)))
(/.f64 y (cos.f64 x))

Outputs

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

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

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-/r/`
1158×	`unswap-sqr`
854×	`*-commutative`
750×	`associate-/l/`
562×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	1198
1	484	1164
2	2395	1148

Stop Event

1×	node limit

Counts

98 → 103

Calls

Call 1

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

Outputs
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
y
(+.f64 (.f64 1/2 (.f64 y (pow.f64 x 2))) y)
(fma.f64 1/2 (.f64 (.f64 x x) y) y)
(fma.f64 1/2 (.f64 (.f64 y x) x) y)
(fma.f64 (.f64 y 1/2) (.f64 x x) y)
(+.f64 (.f64 1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) y))
(fma.f64 1/2 (.f64 (.f64 x x) y) (fma.f64 -1 (.f64 (pow.f64 x 4) (.f64 y -5/24)) y))
(fma.f64 1/2 (.f64 (.f64 y x) x) (-.f64 y (.f64 (pow.f64 x 4) (.f64 y -5/24))))
(fma.f64 1/2 (.f64 x (.f64 x y)) (fma.f64 (*.f64 y 5/24) (pow.f64 x 4) y))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 y) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 y) (.f64 -1/4 y))) (.f64 1/48 y))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) y)))
(fma.f64 -1 (.f64 (pow.f64 x 6) (fma.f64 -1/720 y (fma.f64 1/2 (.f64 y -5/24) (.f64 y 1/48)))) (fma.f64 1/2 (.f64 (.f64 x x) y) (fma.f64 -1 (.f64 (pow.f64 x 4) (*.f64 y -5/24)) y)))
(-.f64 (fma.f64 1/2 (.f64 (.f64 y x) x) (-.f64 y (.f64 (pow.f64 x 4) (.f64 y -5/24)))) (.f64 (pow.f64 x 6) (fma.f64 -1/720 y (fma.f64 y 1/48 (.f64 y -5/48)))))
(-.f64 (fma.f64 1/2 (.f64 x (.f64 x y)) (fma.f64 (.f64 y 5/24) (pow.f64 x 4) y)) (.f64 (pow.f64 x 6) (fma.f64 -1/720 y (*.f64 y -1/12))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(cos.f64 x)
(*.f64 y (/.f64 (cos.f64 x) y))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (cos.f64 x) y)))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 (cos.f64 x) y)))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (/.f64 (cos.f64 x) y) (cbrt.f64 y)))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cos.f64 x) (/.f64 (cbrt.f64 y) y)))
(.f64 (cos.f64 x) (.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) y)))
(*.f64 (/.f64 (cos.f64 x) y) y)
(cos.f64 x)
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) (cos.f64 x))))
(cos.f64 x)
(*.f64 (/.f64 y 1) (/.f64 (cos.f64 x) y))
(cos.f64 x)
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 (cos.f64 x))))
(cos.f64 x)
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 y (cos.f64 x)))))
(cos.f64 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 y (cos.f64 x)))))
(cos.f64 x)
(*.f64 (/.f64 y (neg.f64 y)) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y (cos.f64 x))))
(cos.f64 x)
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 y (cos.f64 x))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (/.f64 (cos.f64 x) y) (cbrt.f64 y)))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cos.f64 x) (/.f64 (cbrt.f64 y) y)))
(.f64 (cos.f64 x) (.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) y)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 (cos.f64 x))))
(cos.f64 x)
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y (cos.f64 x)))))
(cos.f64 x)
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) y) (/.f64 (cbrt.f64 y) (/.f64 1 (cos.f64 x))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (/.f64 (cos.f64 x) y) (cbrt.f64 y)))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cos.f64 x) (/.f64 (cbrt.f64 y) y)))
(.f64 (cos.f64 x) (.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) y)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 y (cos.f64 x)))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (/.f64 (cos.f64 x) y) (cbrt.f64 y)))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cos.f64 x) (/.f64 (cbrt.f64 y) y)))
(.f64 (cos.f64 x) (.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) y)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2)) (cbrt.f64 (cos.f64 x)))
(.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2)))
(/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2) (cbrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(pow.f64 (/.f64 1 (cos.f64 x)) -1)
(cos.f64 x)
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) (cos.f64 x))))
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (cos.f64 x)))) 1)
(/.f64 y (cos.f64 x))
(*.f64 y (/.f64 1 (cos.f64 x)))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 y (cos.f64 x)) 1)
(/.f64 y (cos.f64 x))
(*.f64 1 (/.f64 y (cos.f64 x)))
(/.f64 y (cos.f64 x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (cos.f64 x))))
(/.f64 y (cos.f64 x))
(*.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) (sqrt.f64 (/.f64 y (cos.f64 x))))
(/.f64 y (cos.f64 x))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (cos.f64 x))))
(.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(*.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2))
(/.f64 y (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2) (cbrt.f64 (/.f64 y (cos.f64 x))))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 1 (cos.f64 x)) y)
(/.f64 y (cos.f64 x))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 y (sqrt.f64 (cos.f64 x))))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 y (cbrt.f64 (cos.f64 x))))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(/.f64 y (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (cos.f64 x))))
(/.f64 y (cos.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (cos.f64 x))))
(.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cos.f64 x))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (cos.f64 x))))
(.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (/.f64 y (cos.f64 x))))
(.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) (/.f64 (cbrt.f64 (.f64 y y)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (/.f64 y (cos.f64 x)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (/.f64 y (cos.f64 x)))))
(pow.f64 (/.f64 y (cos.f64 x)) 1)
(/.f64 y (cos.f64 x))
(pow.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) 2)
(/.f64 y (cos.f64 x))
(pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 3)
(/.f64 y (cos.f64 x))
(pow.f64 (pow.f64 (/.f64 y (cos.f64 x)) 3) 1/3)
(/.f64 y (cos.f64 x))
(pow.f64 (/.f64 (cos.f64 x) y) -1)
(/.f64 y (cos.f64 x))
(neg.f64 (/.f64 y (neg.f64 (cos.f64 x))))
(/.f64 y (cos.f64 x))
(sqrt.f64 (pow.f64 (/.f64 y (cos.f64 x)) 2))
(/.f64 y (cos.f64 x))
(log.f64 (exp.f64 (/.f64 y (cos.f64 x))))
(/.f64 y (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (cos.f64 x)))))
(/.f64 y (cos.f64 x))
(cbrt.f64 (pow.f64 (/.f64 y (cos.f64 x)) 3))
(/.f64 y (cos.f64 x))
(expm1.f64 (log1p.f64 (/.f64 y (cos.f64 x))))
(/.f64 y (cos.f64 x))
(exp.f64 (log.f64 (/.f64 y (cos.f64 x))))
(/.f64 y (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 y (cos.f64 x))) 1))
(/.f64 y (cos.f64 x))
(log1p.f64 (expm1.f64 (/.f64 y (cos.f64 x))))
(/.f64 y (cos.f64 x))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.29%	(.f64 1/6 (.f64 y y))

Compiler

Compiled 12 to 6 computations (50% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`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 1/6 (.f64 y y))

Outputs

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

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
746×	`associate-r`
702×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	92	299
2	347	299
3	1900	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.65%	(*.f64 (/.f64 1 y) y)

Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`associate-r`
862×	`add-sqr-sqrt`
846×	`*-un-lft-identity`
800×	`pow1`
788×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	121	1
2	1124	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13
1	5	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

localize7.0ms (0.1%)

Compiler: Compiled 20 to 11 computations (45% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 1 (+.f64 1 (.f64 (.f64 y y) -1/6)))
✓	0.29%	(.f64 (.f64 y y) -1/6)

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`add-sqr-sqrt`
1780×	`*-un-lft-identity`
1674×	`add-cube-cbrt`
1662×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	191	34
2	2361	34

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1532×	`associate-r`
1246×	`associate-l`
630×	`distribute-lft-neg-out`
490×	`fma-def`
464×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1498
1	356	1450
2	1108	1428
3	5031	1428

Stop Event

1×	node limit

Counts

62 → 88

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/216 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 -6 (pow.f64 y 2))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(/.f64 -6 (pow.f64 y 2))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(-.f64 (fma.f64 y (*.f64 y -1/6) 1) 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 (.f64 -1/216 (pow.f64 (.f64 y y) 3)) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 y y)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y -1/6)))))
(cbrt.f64 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y -1/6))))
(exp.f64 (log.f64 (.f64 y (.f64 y -1/6))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y -1/6))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y -1/6))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)))) 1)
(.f64 1 (/.f64 1 (fma.f64 y (.f64 y -1/6) 1)))
(.f64 (/.f64 1 (fma.f64 y (.f64 y -1/6) 1)) 1)
(.f64 (pow.f64 (fma.f64 y (.f64 y -1/6) 1) -1/2) (pow.f64 (fma.f64 y (*.f64 y -1/6) 1) -1/2))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 y (.f64 y -1/6) 1))) (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y -1/6) 1) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y -1/6) 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 y (.f64 y -1/6) 1))))
(.f64 (/.f64 1 (-.f64 1 (.f64 1/36 (pow.f64 y 4)))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(.f64 (/.f64 1 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) (+.f64 1 (+.f64 (.f64 1/36 (pow.f64 y 4)) (.f64 1/6 (.f64 y y)))))
(.f64 (pow.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) -1) (pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y -1/6) 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) -1))
(pow.f64 (fma.f64 y (*.f64 y -1/6) 1) -1)
(pow.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) 1)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y -1/6) 1) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 y -1/6) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))))
(exp.f64 (neg.f64 (log1p.f64 (.f64 y (.f64 y -1/6)))))
(exp.f64 (.f64 (log1p.f64 (.f64 y (*.f64 y -1/6))) -1))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 y (*.f64 y -1/6)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))))

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))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(fma.f64 (*.f64 y y) 1/6 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4))))
(+.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 (.f64 y y) 1/6 1))
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/36 (pow.f64 y 4) 1))
(fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1))
(+.f64 1 (+.f64 (.f64 1/216 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/216 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/216 (pow.f64 y 6) (fma.f64 (.f64 y y) 1/6 (.f64 1/36 (pow.f64 y 4)))))
(fma.f64 1/216 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/36 (pow.f64 y 4) 1)))
(fma.f64 1/216 (pow.f64 y 6) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 -6 (pow.f64 y 2))
(/.f64 -6 (*.f64 y y))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))))
(+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4)))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6)))))
(-.f64 (+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (/.f64 216 (pow.f64 y 6)))
(+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 216 (pow.f64 y 6))))
(+.f64 (-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))) (/.f64 -216 (pow.f64 y 6)))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 1296 (pow.f64 y 8))) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6)))))
(-.f64 (/.f64 -6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 1296 (pow.f64 y 8)))))
(+.f64 (+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 216 (pow.f64 y 6)))) (/.f64 -1296 (pow.f64 y 8)))
(+.f64 (-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8))))
(/.f64 -6 (pow.f64 y 2))
(/.f64 -6 (*.f64 y y))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))))
(+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4)))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6)))))
(-.f64 (+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (/.f64 216 (pow.f64 y 6)))
(+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 216 (pow.f64 y 6))))
(+.f64 (-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))) (/.f64 -216 (pow.f64 y 6)))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 1296 (pow.f64 y 8))) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6)))))
(-.f64 (/.f64 -6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 1296 (pow.f64 y 8)))))
(+.f64 (+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 216 (pow.f64 y 6)))) (/.f64 -1296 (pow.f64 y 8)))
(+.f64 (-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8))))
(-.f64 (fma.f64 y (*.f64 y -1/6) 1) 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 (.f64 -1/216 (pow.f64 (.f64 y y) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/216))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 y y)) -1/6))
(.f64 -1/6 (.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y -1/6)))))
(.f64 -1/6 (.f64 y y))
(cbrt.f64 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/216))
(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))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y -1/6))) 1))
(.f64 -1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y -1/6))))
(.f64 -1/6 (.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)))) 1)
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 1 (/.f64 1 (fma.f64 y (.f64 y -1/6) 1)))
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 1 (fma.f64 y (.f64 y -1/6) 1)) 1)
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (pow.f64 (fma.f64 y (.f64 y -1/6) 1) -1/2) (pow.f64 (fma.f64 y (*.f64 y -1/6) 1) -1/2))
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 y (.f64 y -1/6) 1))) (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y -1/6) 1) -2)))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 y (.f64 -1/6 y) 1))) (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 -1/6 y) 1) -2)))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y -1/6) 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 y (.f64 -1/6 y) 1))) (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 -1/6 y) 1) -2)))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) -2)))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 y (.f64 y -1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 1 (-.f64 1 (.f64 1/36 (pow.f64 y 4)))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(.f64 (/.f64 1 (+.f64 1 (.f64 -1/36 (pow.f64 y 4)))) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(/.f64 (fma.f64 (.f64 y y) 1/6 1) (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))
(/.f64 (fma.f64 y (*.f64 y 1/6) 1) (fma.f64 (pow.f64 y 4) -1/36 1))
(.f64 (/.f64 1 (+.f64 1 (.f64 -1/216 (pow.f64 (.f64 y y) 3)))) (+.f64 1 (+.f64 (.f64 1/36 (pow.f64 y 4)) (.f64 1/6 (.f64 y y)))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 y 6) -1/216))) (+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4)))))
(/.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 (.f64 y y) 1/6 1)) (fma.f64 (pow.f64 y 6) -1/216 1))
(/.f64 (fma.f64 y (*.f64 y 1/6) (fma.f64 1/36 (pow.f64 y 4) 1)) (fma.f64 (pow.f64 y 6) -1/216 1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)) (fma.f64 (pow.f64 y 6) -1/216 1))
(.f64 (pow.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) -1) (pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) -1))
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) -2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y -1/6) 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) -1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 -1/6 y) 1)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 y (*.f64 -1/6 y) 1))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)) (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)))
(/.f64 1 (.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2)))
(pow.f64 (fma.f64 y (*.f64 y -1/6) 1) -1)
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) 1)
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y -1/6) 1) -1/2) 2)
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))) 3)
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) 3) 1/3)
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 y -1/6) 1) -2))
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)))))
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) 3))
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (neg.f64 (log1p.f64 (.f64 y (.f64 y -1/6)))))
(exp.f64 (neg.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(exp.f64 (.f64 (log1p.f64 (.f64 y (*.f64 y -1/6))) -1))
(exp.f64 (neg.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 y (*.f64 y -1/6)))) 1))
(exp.f64 (neg.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))

eval49.0ms (0.7%)

Compiler: Compiled 2483 to 1512 computations (39.1% saved)

prune33.0ms (0.5%)

Pruning

19 alts after pruning (5 fresh and 14 done)

	Pruned	Kept	Total
New	203	3	206
Fresh	1	2	3
Picked	0	1	1
Done	0	13	13
Total	204	19	223

Error

Counts

223 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.24%	(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (cos.f64 x)))
✓	0.03%	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	2.65%	(/.f64 y (/.f64 y (cos.f64 x)))
✓	0.24%	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
✓	44.56%	(/.f64 1 (/.f64 y (sinh.f64 y)))
✓	44.98%	(/.f64 1 (+.f64 1 (.f64 (.f64 y y) -1/6)))
	98.81%	(/.f64 -6 (*.f64 y y))
	96.68%	(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
	44.95%	(+.f64 1 (.f64 (.f64 y y) 1/6))
✓	49.28%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	0.65%	(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
✓	3.13%	(*.f64 (/.f64 (cos.f64 x) y) y)
✓	45.36%	(*.f64 (/.f64 1 y) y)
	97.02%	(.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) 1/6))
✓	1.75%	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
✓	95.68%	(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))
✓	96.16%	(.f64 1/6 (.f64 y y))
✓	2.51%	(cos.f64 x)
	45.11%	1

Compiler

Compiled 167 to 122 computations (26.9% saved)

regimes54.0ms (0.8%)

Counts

22 → 1

Calls

Call 1

Inputs
1
(.f64 1/6 (.f64 y y))
(*.f64 (/.f64 1 y) y)
(/.f64 -6 (*.f64 y y))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) -1/6)))
(.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) 1/6))
(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 y (/.f64 y (cos.f64 x)))
(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))

Outputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))

Calls

5 calls:

13.0ms	(cos.f64 x)
12.0ms	x
12.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms	y
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.03%	1	`x`
0.03%	1	`y`
0.03%	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.03%	1	`(cos.f64 x)`
0.03%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 189 to 95 computations (49.7% saved)

regimes42.0ms (0.6%)

Counts

18 → 1

Calls

Call 1

Inputs
1
(.f64 1/6 (.f64 y y))
(*.f64 (/.f64 1 y) y)
(/.f64 -6 (*.f64 y y))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) -1/6)))
(.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) 1/6))
(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 y (/.f64 y (cos.f64 x)))
(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Calls

5 calls:

11.0ms	x
9.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
8.0ms	y
7.0ms	(cos.f64 x)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.04%	1	`x`
0.04%	1	`y`
0.04%	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.04%	1	`(cos.f64 x)`
0.04%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 151 to 82 computations (45.7% saved)

regimes28.0ms (0.4%)

Counts

16 → 1

Calls

Call 1

Inputs
1
(.f64 1/6 (.f64 y y))
(*.f64 (/.f64 1 y) y)
(/.f64 -6 (*.f64 y y))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) -1/6)))
(.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) 1/6))
(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 y (/.f64 y (cos.f64 x)))
(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))

Outputs
(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))

Calls

3 calls:

10.0ms	y
8.0ms	x
7.0ms	(cos.f64 x)

Results

Error	Segments	Branch
1.75%	1	`x`
1.75%	1	`y`
1.75%	1	`(cos.f64 x)`

Compiler

Compiled 122 to 69 computations (43.4% saved)

regimes28.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

Inputs
1
(.f64 1/6 (.f64 y y))
(*.f64 (/.f64 1 y) y)
(/.f64 -6 (*.f64 y y))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) -1/6)))
(.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) 1/6))
(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))
(cos.f64 x)
(*.f64 (/.f64 (cos.f64 x) y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 y (/.f64 y (cos.f64 x)))
(.f64 1/6 (.f64 (*.f64 (cos.f64 x) y) y))

Outputs
(cos.f64 x)

Calls

3 calls:

9.0ms	x
8.0ms	(cos.f64 x)
7.0ms	y

Results

Error	Segments	Branch
2.51%	1	`x`
2.51%	1	`y`
2.51%	1	`(cos.f64 x)`

Compiler

Compiled 112 to 64 computations (42.9% saved)

regimes16.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
1
(.f64 1/6 (.f64 y y))
(*.f64 (/.f64 1 y) y)
(/.f64 -6 (*.f64 y y))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) -1/6)))
(.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) 1/6))
(.f64 1/6 (.f64 (+.f64 (.f64 (.f64 x x) -1/2) 1) (*.f64 y y)))

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

Calls

2 calls:

8.0ms	x
6.0ms	y

Results

Error	Segments	Branch
44.95%	1	`x`
44.95%	1	`y`

Compiler

Compiled 80 to 48 computations (40% saved)

regimes9.0ms (0.1%)

Accuracy

Total -34.8b remaining (-120.7%)

Threshold costs -34.8b (-120.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
45.11%	1	`x`
45.11%	1	`y`

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	96
1	23	96

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(cos.f64 x)
(+.f64 1 (.f64 (.f64 y y) 1/6))
1

Outputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(cos.f64 x)
(+.f64 1 (.f64 (.f64 y y) 1/6))
1

Compiler

Compiled 46 to 34 computations (26.1% saved)

soundness0.0ms (0%)

end32.0ms (0.5%)

Compiler: Compiled 36 to 19 computations (47.2% saved)

Details

analyze165.0ms (2.5%)

sample3.0s (44.7%)

preprocess57.0ms (0.9%)

simplify53.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series9.0ms (0.1%)

rewrite111.0ms (1.7%)

simplify131.0ms (2%)

eval73.0ms (1.1%)

prune44.0ms (0.7%)

localize8.0ms (0.1%)

series4.0ms (0.1%)

rewrite73.0ms (1.1%)

simplify83.0ms (1.2%)

localize3.0ms (0%)

localize12.0ms (0.2%)

series3.0ms (0%)

rewrite104.0ms (1.6%)

simplify79.0ms (1.2%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite79.0ms (1.2%)

simplify125.0ms (1.9%)

localize10.0ms (0.1%)

series40.0ms (0.6%)

rewrite103.0ms (1.5%)

simplify175.0ms (2.6%)

eval319.0ms (4.8%)

prune264.0ms (3.9%)

localize9.0ms (0.1%)

series4.0ms (0.1%)

rewrite64.0ms (1%)

simplify73.0ms (1.1%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite53.0ms (0.8%)

simplify56.0ms (0.8%)

localize6.0ms (0.1%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite78.0ms (1.2%)

simplify77.0ms (1.1%)

eval151.0ms (2.3%)

prune249.0ms (3.7%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite59.0ms (0.9%)

simplify49.0ms (0.7%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite48.0ms (0.7%)

simplify38.0ms (0.6%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite48.0ms (0.7%)

simplify11.0ms (0.2%)

localize7.0ms (0.1%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite60.0ms (0.9%)

simplify71.0ms (1.1%)

eval49.0ms (0.7%)

prune33.0ms (0.5%)

regimes54.0ms (0.8%)

regimes42.0ms (0.6%)

regimes28.0ms (0.4%)

regimes28.0ms (0.4%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end32.0ms (0.5%)

Profiling