Details

analyze162.0ms (3.5%)

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)

sample2.9s (62.7%)

Results

719.0ms	2032×	body	1024	infinite
700.0ms	5096×	body	256	valid
698.0ms	2078×	body	1024	valid
287.0ms	2000×	body	256	infinite
240.0ms	1077×	body	512	valid
229.0ms	1030×	body	512	infinite
3.0ms	5×	body	2048	valid

Bogosity

preprocess59.0ms (1.3%)

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)

simplify55.0ms (1.2%)

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

0.02%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series9.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

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

rewrite81.0ms (1.8%)

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	37
1	186	37
2	2435	37

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

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

simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1510×	`associate-/l*`
1296×	`associate-r`
1170×	`associate-l`
654×	`associate-/r*`
616×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	7209
1	1474	7029

Stop Event

1×	node limit

Counts

271 → 327

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

eval59.0ms (1.3%)

Compiler: Compiled 5025 to 1785 computations (64.5% saved)

prune47.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	324	3	327
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	325	3	328

Error

Counts

328 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.12%	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
▶	0.1%	(.f64 (cos.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
▶	0.69%	(cos.f64 x)

Compiler

Compiled 25 to 18 computations (28% saved)

localize3.0ms (0.1%)

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

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 (cos.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
✓	0.19%	(.f64 y (.f64 y 1/6))
✓	0.45%	(*.f64 y 1/6)

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite80.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`unswap-sqr`
770×	`swap-sqr`
632×	`distribute-rgt-in`
612×	`associate-*r/`
592×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	245	45
2	3022	45

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

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

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simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1896×	`distribute-lft-in`
1856×	`distribute-rgt-in`
942×	`associate-/r*`
578×	`associate-+r+`
478×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	297	5549
1	770	4889
2	3044	4889

Stop Event

1×	node limit

Counts

151 → 180

Calls

Call 1

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sinh.f64 y)
✓	0.2%	(*.f64 (cos.f64 x) (sinh.f64 y))
✓	0.23%	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`associate-/r*`
1172×	`associate-/l*`
1048×	`associate-*r/`
944×	`*-commutative`
740×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	186	36
2	2489	36

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

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

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1336×	`associate-/r*`
1216×	`associate-/r/`
750×	`distribute-rgt-in`
750×	`distribute-lft-in`
410×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4940
1	792	4816
2	3059	4716

Stop Event

1×	node limit

Counts

150 → 191

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

eval122.0ms (2.6%)

Compiler: Compiled 8261 to 4162 computations (49.6% saved)

prune68.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	453	2	455
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	453	5	458

Error

Counts

458 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.86%	(fma.f64 (*.f64 y y) 1/6 1)
✓	0.12%	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
▶	0.81%	(/.f64 (*.f64 (cos.f64 x) y) y)
✓	0.1%	(.f64 (cos.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
✓	0.69%	(cos.f64 x)

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.19%	(*.f64 (cos.f64 x) y)
✓	0.21%	(/.f64 (*.f64 (cos.f64 x) y) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1564×	`*-un-lft-identity`
1454×	`add-cube-cbrt`
1430×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	163	16
2	2192	16

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1464×	`associate-/r*`
1338×	`associate-/l/`
854×	`associate-/r/`
788×	`unswap-sqr`
680×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	969
1	368	949
2	1920	945

Stop Event

1×	node limit

Counts

81 → 83

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

localize5.0ms (0.1%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

eval32.0ms (0.7%)

Compiler: Compiled 860 to 412 computations (52.1% saved)

prune13.0ms (0.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	81	7	88

Error

Counts

88 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	50.86%	(fma.f64 (*.f64 y y) 1/6 1)
✓	0.12%	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
▶	56.65%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	0.9%	(*.f64 (/.f64 (cos.f64 x) y) y)
✓	0.1%	(.f64 (cos.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
✓	0.69%	(cos.f64 x)
	51.02%	1

Compiler

Compiled 53 to 39 computations (26.4% saved)

localize25.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.27%	(/.f64 (cos.f64 x) y)
✓	0.37%	(*.f64 (/.f64 (cos.f64 x) y) y)

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 (cos.f64 x) y)
0.0ms	x	@	-inf	(/.f64 (cos.f64 x) y)
0.0ms	y	@	-inf	(/.f64 (cos.f64 x) y)
0.0ms	x	@	inf	(/.f64 (cos.f64 x) y)
0.0ms	x	@	0	(*.f64 (/.f64 (cos.f64 x) y) y)

rewrite61.0ms (1.3%)

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	28
1	163	28
2	2119	28

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-*l/`
1064×	`associate-/r*`
938×	`unswap-sqr`
700×	`associate-/l/`
448×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	863
1	369	855
2	1572	847

Stop Event

1×	node limit

Counts

83 → 83

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 -1/2 (.f64 x x))

Compiler

Compiled 20 to 11 computations (45% saved)

series30.0ms (0.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(.f64 -1/2 (.f64 x x))
0.0ms	x	@	0	(.f64 -1/2 (.f64 x x))
0.0ms	x	@	-inf	(.f64 -1/2 (.f64 x x))

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
986×	`add-cube-cbrt`
978×	`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 -1/2 (.f64 x x))

Outputs

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	93	299
2	347	299
3	1912	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

eval19.0ms (0.4%)

Compiler: Compiled 1080 to 552 computations (48.9% saved)

prune51.0ms (1.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	96	8	104

Error

Counts

104 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	50.86%	(fma.f64 (*.f64 y y) 1/6 1)
✓	0.12%	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
✓	56.65%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	0.9%	(*.f64 (/.f64 (cos.f64 x) y) y)
	51.13%	(*.f64 (/.f64 1 y) y)
✓	0.1%	(.f64 (cos.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
✓	0.69%	(cos.f64 x)
	51.02%	1

Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes29.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(cos.f64 x)
6.0ms	y
6.0ms	x
5.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`y`
0.02%	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.02%	1	`(cos.f64 x)`
0.02%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 84 to 48 computations (42.9% saved)

regimes51.0ms (1.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	x
5.0ms	y
5.0ms	(cos.f64 x)

Results

Error	Segments	Branch
0.1%	1	`x`
0.1%	1	`y`
0.1%	1	`(cos.f64 x)`

Compiler

Compiled 55 to 33 computations (40% saved)

regimes16.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

3 calls:

5.0ms	y
5.0ms	x
4.0ms	(cos.f64 x)

Results

Error	Segments	Branch
0.69%	1	`x`
0.69%	1	`y`
0.69%	1	`(cos.f64 x)`

Compiler

Compiled 45 to 27 computations (40% saved)

regimes8.0ms (0.2%)

Accuracy

Total -4b remaining (-12.4%)

Threshold costs -4b (-12.4%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Error	Segments	Branch
51.02%	1	`x`
51.02%	1	`y`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	22	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 21 computations (25% saved)

soundness0.0ms (0%)

end23.0ms (0.5%)

Compiler: Compiled 22 to 13 computations (40.9% saved)

Details

analyze162.0ms (3.5%)

sample2.9s (62.7%)

preprocess59.0ms (1.3%)

simplify55.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series9.0ms (0.2%)

rewrite81.0ms (1.8%)

simplify82.0ms (1.8%)

eval59.0ms (1.3%)

prune47.0ms (1%)

localize3.0ms (0.1%)

localize13.0ms (0.3%)

series4.0ms (0.1%)

rewrite80.0ms (1.7%)

simplify82.0ms (1.8%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite70.0ms (1.5%)

simplify78.0ms (1.7%)

eval122.0ms (2.6%)

prune68.0ms (1.5%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite57.0ms (1.2%)

simplify45.0ms (1%)

localize5.0ms (0.1%)

eval32.0ms (0.7%)

prune13.0ms (0.3%)

localize25.0ms (0.5%)

series2.0ms (0%)

rewrite61.0ms (1.3%)

simplify44.0ms (1%)

localize6.0ms (0.1%)

series30.0ms (0.7%)

rewrite61.0ms (1.3%)

simplify39.0ms (0.8%)

eval19.0ms (0.4%)

prune51.0ms (1.1%)

regimes29.0ms (0.6%)

regimes51.0ms (1.1%)

regimes16.0ms (0.3%)

regimes8.0ms (0.2%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end23.0ms (0.5%)

Profiling