Details

analyze220.0ms (5.3%)

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)

sample2.8s (66.3%)

Results

715.0ms	1985×	body	1024	infinite
684.0ms	2131×	body	1024	valid
643.0ms	5116×	body	256	valid
270.0ms	2001×	body	256	infinite
212.0ms	1005×	body	512	valid
207.0ms	1003×	body	512	infinite
2.0ms	4×	body	2048	valid
0.0ms	1×	body	2048	infinite

Bogosity

preprocess63.0ms (1.5%)

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)

simplify52.0ms (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

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (sinh.f64 y) y)
✓	100.0%	(sinh.f64 y)
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series13.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	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))

rewrite75.0ms (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))
(sinh.f64 y)
(/.f64 (sinh.f64 y) y)

Outputs
((-.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)))))
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Outputs

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((-.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))))

simplify81.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-/l*`
1302×	`associate-r`
1168×	`associate-l`
650×	`associate-/r*`
614×	`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))
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))))
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))
(-.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)))))
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(*.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)))

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

eval61.0ms (1.5%)

Compiler: Compiled 5019 to 1786 computations (64.4% saved)

prune51.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	324	3	327
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	324	4	328

Accurracy

100.0%

Counts

328 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	99.8%	(.f64 (cos.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
▶	99.1%	(cos.f64 x)

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize3.0ms (0.1%)

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

localize13.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 y (.f64 y 1/6))
✓	99.4%	(*.f64 y 1/6)

Compiler

Compiled 33 to 21 computations (36.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite50.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`add-sqr-sqrt`
1090×	`*-un-lft-identity`
1034×	`pow1`
1016×	`add-cube-cbrt`
1002×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	121	20
2	1383	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

Outputs

((-.f64 (+.f64 1 (*.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 (pow.f64 (*.f64 y 1/6) 2)) (log.f64 (pow.f64 (exp.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))) (log1p.f64 (expm1.f64 (*.f64 y 1/6))))

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

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1452×	`distribute-lft-in`
1444×	`distribute-rgt-in`
1308×	`associate-+r+`
1228×	`associate-+l+`
654×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	460
1	138	460
2	584	460
3	2212	460

Stop Event

1×	node limit

Counts

46 → 25

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

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

localize8.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sinh.f64 y)
✓	99.8%	(*.f64 (cos.f64 x) (sinh.f64 y))
✓	99.8%	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (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	y	@	0	(*.f64 (cos.f64 x) (sinh.f64 y))
0.0ms	x	@	0	(*.f64 (cos.f64 x) (sinh.f64 y))

rewrite66.0ms (1.6%)

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

((-.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)))))

simplify78.0ms (1.9%)

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)))))
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(.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) (cos.f64 x))
(.f64 (cos.f64 x) (.f64 (sqrt.f64 (sinh.f64 y)) (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 (cos.f64 x) (sinh.f64 y))
(/.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 (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 (cos.f64 x) (sinh.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (cos.f64 x) (cbrt.f64 (sinh.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 1 (cos.f64 x)) (cbrt.f64 (sinh.f64 y))))
(.f64 (cbrt.f64 (sinh.f64 y)) (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (cos.f64 x)))
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (.f64 (cos.f64 x) (sqrt.f64 (sinh.f64 y))))
(.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) (cos.f64 x))
(.f64 (cos.f64 x) (.f64 (sqrt.f64 (sinh.f64 y)) (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 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 1 (cos.f64 x)) (cbrt.f64 (sinh.f64 y))))
(.f64 (cbrt.f64 (sinh.f64 y)) (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (.f64 (cos.f64 x) (.f64 (sinh.f64 y) 2)) 2)
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (.f64 (cos.f64 x) (.f64 -2 (sinh.f64 y))) -2)
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (*.f64 (sinh.f64 y) 2))) 2)
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (cos.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 x)) (sqrt.f64 (sinh.f64 y))))
(.f64 (/.f64 (.f64 (cos.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y))))
(/.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 (cos.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y))))
(.f64 (/.f64 (cos.f64 x) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 2 (sinh.f64 y))))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) (cos.f64 x)) -2)
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2)
(*.f64 (cos.f64 x) (sinh.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (*.f64 (cos.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (cos.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 x)) (sqrt.f64 (sinh.f64 y))))
(.f64 (/.f64 (.f64 (cos.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y))))
(pow.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) 1)
(*.f64 (cos.f64 x) (sinh.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) 2)
(*.f64 (cos.f64 x) (sinh.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) 3)
(*.f64 (cos.f64 x) (sinh.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) 3) 1/3)
(*.f64 (cos.f64 x) (sinh.f64 y))
(neg.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (cos.f64 x) (sinh.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) 2))
(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))

eval66.0ms (1.6%)

Compiler: Compiled 4866 to 2009 computations (58.7% saved)

prune45.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	298	1	299
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	298	5	303

Accurracy

100.0%

Counts

303 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
▶	99.0%	(/.f64 (*.f64 (cos.f64 x) y) y)
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	99.8%	(.f64 (cos.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
✓	99.1%	(cos.f64 x)

Compiler

Compiled 42 to 29 computations (31% saved)

localize6.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (cos.f64 x) y)
✓	99.8%	(/.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	@	-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)

rewrite54.0ms (1.3%)

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

((-.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))))

simplify43.0ms (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)

eval15.0ms (0.4%)

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

prune12.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	82	6	88

Accurracy

100.0%

Counts

88 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
▶	48.4%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	99.8%	(.f64 (cos.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
✓	99.1%	(cos.f64 x)
	52.1%	1

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize7.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 -1/2 (.f64 x x))

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite77.0ms (1.8%)

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

((-.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)))))

simplify37.0ms (0.9%)

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))

eval3.0ms (0.1%)

Compiler: Compiled 126 to 92 computations (27% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	14	6	20

Accurracy

100.0%

Counts

20 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
✓	48.4%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	99.8%	(.f64 (cos.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
✓	99.1%	(cos.f64 x)
	52.1%	1

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes22.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

5.0ms	(cos.f64 x)
5.0ms	x
5.0ms	y
4.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
100.0%	1	`(cos.f64 x)`
100.0%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 67 to 39 computations (41.8% saved)

regimes21.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

11.0ms	(cos.f64 x)
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(cos.f64 x)`

Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes38.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

3 calls:

30.0ms	(cos.f64 x)
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`(cos.f64 x)`

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes8.0ms (0.2%)

Accuracy

Total -3.0b remaining (-9.7%)

Threshold costs -3b (-9.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	1	`y`

Compiler

Compiled 16 to 12 computations (25% 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%)

end47.0ms (1.1%)

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

Details

analyze220.0ms (5.3%)

sample2.8s (66.3%)

preprocess63.0ms (1.5%)

simplify52.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series13.0ms (0.3%)

rewrite75.0ms (1.8%)

simplify81.0ms (1.9%)

eval61.0ms (1.5%)

prune51.0ms (1.2%)

localize3.0ms (0.1%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite50.0ms (1.2%)

simplify41.0ms (1%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite66.0ms (1.6%)

simplify78.0ms (1.9%)

eval66.0ms (1.6%)

prune45.0ms (1.1%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite54.0ms (1.3%)

simplify43.0ms (1%)

eval15.0ms (0.4%)

prune12.0ms (0.3%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite77.0ms (1.8%)

simplify37.0ms (0.9%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes22.0ms (0.5%)

regimes21.0ms (0.5%)

regimes38.0ms (0.9%)

regimes8.0ms (0.2%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end47.0ms (1.1%)

Profiling