Details

analyze173.0ms (2.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	8
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	9
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	10
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	11
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.1s (38.9%)

Results

793.0ms	2048×	body	1024	valid
725.0ms	5227×	body	256	valid
708.0ms	1981×	body	1024	infinite
303.0ms	2069×	body	256	infinite
252.0ms	1033×	body	512	infinite
241.0ms	975×	body	512	valid
4.0ms	6×	body	2048	valid

Bogosity

preprocess67.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

740×	`fma-neg_binary64`
620×	`fma-def_binary64`
554×	`div-sub_binary64`
485×	`associate-*l/_binary64`
400×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	63	22
3	144	22
4	329	22
5	839	22
6	2566	22
7	6744	22
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 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
491×	`times-frac_binary64`
419×	`associate-/l*_binary64`
357×	`div-sub_binary64`
352×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	35	11
3	77	11
4	171	11
5	428	11
6	1295	11
7	5092	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(sinh.f64 y)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series13.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	x	@	0	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	y	@	inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	y	@	0	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	x	@	inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`pow1_binary64`
761×	`add-log-exp_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	148	20
2	1998	20

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

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

Outputs

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

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

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

503×	`unswap-sqr_binary64`
498×	`times-frac_binary64`
394×	`*-commutative_binary64`
392×	`associate-/l*_binary64`
294×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	954
1	208	944
2	571	894
3	2068	840
4	6008	840

Stop Event

1×	node limit

Counts

122 → 107

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))

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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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)))
(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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 -1/4 (*.f64 x x))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 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 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 -1/4 (.f64 x x)) (.f64 1/48 (pow.f64 x 4)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4))))))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 x x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))))
(+.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 -1/4 (.f64 x x)))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 1/48 (pow.f64 x 4)) (.f64 -1/1440 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) 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 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) (*.f64 1/120 (pow.f64 y 4)))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x)) (.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (fma.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x)) (.f64 (cos.f64 x) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6)))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) (*.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 (.f64 1/2 (.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 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.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))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.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)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) 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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.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)))))
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(/.f64 (cos.f64 x) y)
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`pow1_binary64`
768×	`add-log-exp_binary64`
767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	148	17
2	2008	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

Outputs

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

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-def_binary64`
617×	`times-frac_binary64`
497×	`associate-/l*_binary64`
393×	`unswap-sqr_binary64`
361×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	698
1	185	694
2	492	670
3	1771	610
4	6747	610

Stop Event

1×	node limit

Counts

89 → 85

Calls

Call 1

Inputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))

Outputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x))
(fma.f64 (cos.f64 x) (.f64 1/6 (.f64 y y)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4)))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x)) (.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (fma.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (.f64 1/6 (.f64 y y)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 (cos.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (.f64 1/120 (pow.f64 y 4))) (.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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)))
(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 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) x))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 x (*.f64 x -1/4))))
(+.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 (/.f64 y x) x)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/48) (/.f64 y (pow.f64 x 4)))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)))
(fma.f64 (/.f64 (fma.f64 (exp.f64 y) 1/48 (/.f64 -1/48 (exp.f64 y))) y) (pow.f64 x 4) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 x (*.f64 x -1/4)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) x)) (fma.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/48) (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 1/48 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (fma.f64 -1/1440 (.f64 (/.f64 (pow.f64 x 6) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))))
(+.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 x (.f64 x -1/4)))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 1/48 (pow.f64 x 4)) (.f64 -1/1440 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (.f64 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(fma.f64 (/.f64 -1/2 y) (*.f64 x x) (/.f64 1 y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) y) (/.f64 1 y)) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 (/.f64 1/24 y) (pow.f64 x 4) (fma.f64 (/.f64 -1/2 y) (*.f64 x x) (/.f64 1 y)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) y) (/.f64 1 y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (.f64 -1/720 (/.f64 (pow.f64 x 6) y))))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 -1/720 (/.f64 y (pow.f64 x 6)))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))))
(fma.f64 -1/2 (*.f64 x (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))))

eval53.0ms (0.7%)

Compiler: Compiled 2954 to 1346 computations (54.4% saved)

prune36.0ms (0.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	216	6	222
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	216	8	224

Error

Counts

224 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	1.6b	(cos.f64 x)
▶	30.4b	(*.f64 (sinh.f64 y) (/.f64 1 y))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
	19.9b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
▶	1.2b	(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
▶	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))

Compiler

Compiled 142 to 106 computations (25.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 y (sinh.f64 y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
856×	`add-log-exp_binary64`
855×	`log1p-expm1-u_binary64`
855×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	2240	17

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

969×	`fma-def_binary64`
498×	`times-frac_binary64`
397×	`associate-/l*_binary64`
358×	`*-commutative_binary64`
355×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	798
1	177	794
2	483	768
3	1787	708
4	6380	708

Stop Event

1×	node limit

Counts

109 → 99

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 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))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 7/360 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -31/15120 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4)))))
(fma.f64 -31/15120 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) (fma.f64 -31/15120 (pow.f64 y 6) 1)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 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 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (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)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 -1/4 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (.f64 x x))))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 x x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 -1/4 (*.f64 x x))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 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 1/48 (*.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y)))
(fma.f64 (/.f64 (fma.f64 (exp.f64 y) 1/48 (/.f64 -1/48 (exp.f64 y))) y) (pow.f64 x 4) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 -1/4 (*.f64 x x)))))
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(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 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 1/48 (.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y))))
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(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
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(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
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(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x))
(fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (cos.f64 x))
(fma.f64 (.f64 y y) (.f64 (cos.f64 x) 1/6) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(+.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 (pow.f64 y 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x)))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (fma.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 y (.f64 y 1/6)) (.f64 (pow.f64 y 4) 1/120))))
(.f64 (cos.f64 x) (+.f64 (fma.f64 (pow.f64 y 4) 1/120 1) (.f64 y (*.f64 y 1/6))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (+.f64 (fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x)) (.f64 1/5040 (*.f64 (pow.f64 y 6) (cos.f64 x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (fma.f64 1/5040 (.f64 (pow.f64 y 6) (cos.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (.f64 y y) (.f64 (cos.f64 x) 1/6) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 y 6) 1/5040) (*.f64 (pow.f64 y 4) 1/120))))
(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 y 6) 1/5040 (.f64 (pow.f64 y 4) 1/120)) (.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))
(fma.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) (.f64 (pow.f64 y 6) 1/5040)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 y 4) 1/120 1)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))

localize4.0ms (0.1%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 1 y))

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`pow1_binary64`
543×	`add-log-exp_binary64`
541×	`log1p-expm1-u_binary64`
541×	`expm1-log1p-u_binary64`
531×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	124	6
2	1532	6

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

743×	`fma-def_binary64`
586×	`times-frac_binary64`
444×	`associate-/r*_binary64`
363×	`associate-/l*_binary64`
320×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	180
1	63	178
2	144	166
3	420	166
4	1425	166
5	3912	166

Stop Event

1×	node limit

Counts

39 → 36

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 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))

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

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.2b	(*.f64 (/.f64 1 y) (cos.f64 x))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 (/.f64 1 y) (cos.f64 x))
1.0ms	y	@	0	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))
1.0ms	x	@	0	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))
1.0ms	y	@	inf	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))
1.0ms	x	@	-inf	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`pow1_binary64`
824×	`add-log-exp_binary64`
822×	`log1p-expm1-u_binary64`
822×	`expm1-log1p-u_binary64`
805×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	182	17
2	2256	17

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-def_binary64`
617×	`times-frac_binary64`
497×	`associate-/l*_binary64`
391×	`unswap-sqr_binary64`
358×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	818
1	186	814
2	492	790
3	1769	730
4	6730	730

Stop Event

1×	node limit

Counts

91 → 67

Calls

Call 1

Inputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)

Outputs
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x))
(fma.f64 (cos.f64 x) (.f64 1/6 (.f64 y y)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4)))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.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 (*.f64 1/5040 (cos.f64 x)) (pow.f64 y 6))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (fma.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (.f64 1/6 (.f64 y y)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 (cos.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (.f64 1/120 (pow.f64 y 4))) (.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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)))
(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 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x)))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 -1/4 (*.f64 x x))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 1/48 (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)))
(fma.f64 (/.f64 (fma.f64 (exp.f64 y) 1/48 (/.f64 -1/48 (exp.f64 y))) y) (pow.f64 x 4) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 -1/4 (*.f64 x x)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 1/48 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 1/48 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (fma.f64 -1/1440 (.f64 (/.f64 (pow.f64 x 6) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))))
(+.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 -1/4 (.f64 x x)))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 1/48 (pow.f64 x 4)) (.f64 -1/1440 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(fma.f64 -1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) y) (/.f64 1 y)) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 -1/2 (*.f64 x (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) y) (/.f64 1 y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (.f64 -1/720 (/.f64 (pow.f64 x 6) y))))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))))
(fma.f64 -1/2 (*.f64 x (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))))
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)

localize54.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
✓	0.0b	(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4)))
✓	0.1b	(*.f64 1/120 (pow.f64 y 4))
✓	0.2b	(*.f64 1/6 (pow.f64 y 2))

Compiler

Compiled 67 to 52 computations (22.4% saved)

series9.0ms (0.1%)

Counts

4 → 30

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1.0ms	x	@	0	(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1.0ms	y	@	0	(*.f64 1/6 (pow.f64 y 2))
1.0ms	y	@	inf	(*.f64 1/6 (pow.f64 y 2))
1.0ms	y	@	0	(*.f64 1/120 (pow.f64 y 4))

rewrite169.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`log-prod_binary64`
555×	`fma-def_binary64`
273×	`fma-neg_binary64`
272×	`pow1/3_binary64`
270×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	346	50
2	4239	48

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/120 (pow.f64 y 4))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4)))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/6 (.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 6) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 y 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 6) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 (.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (.f64 y y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) 1)) (cbrt.f64 (fma.f64 1/6 (.f64 y y) 1))) (cbrt.f64 (fma.f64 1/6 (.f64 y y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/120 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/120)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/120)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/120))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/120 (pow.f64 y 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/120 (pow.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/120 (pow.f64 y 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 y y) (sqrt.f64 1/120)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 y 4) 3) 1/1728000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 y 8) 1/14400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/120))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/120 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 y 4) 3) 1/1728000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/120 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/120 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 y) (log1p.f64 -119/120)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 4 (log.f64 y) (log1p.f64 -119/120)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 y 4) 1/36) (fma.f64 1/6 (.f64 y y) (.f64 -1/120 (pow.f64 y 4)))) (/.f64 (.f64 (pow.f64 y 8) 1/14400) (fma.f64 1/6 (.f64 y y) (.f64 -1/120 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))) (cbrt.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) 2)) (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (.f64 1/120 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 1/6 (.f64 y y))) (.f64 1/120 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/120 (pow.f64 y 4))) (cbrt.f64 (.f64 (pow.f64 y 8) 1/14400)) (.f64 1/6 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 y 8) 1/14400)) (cbrt.f64 (.f64 1/120 (pow.f64 y 4))) (.f64 1/6 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) (sqrt.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 1/6)) (.f64 y (sqrt.f64 1/6)) (.f64 1/120 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 y y) (sqrt.f64 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(.f64 y y)))))))
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simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1293×	`distribute-rgt-in_binary64`
1195×	`distribute-lft-in_binary64`
629×	`*-commutative_binary64`
274×	`sqr-pow_binary64`
256×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	685
1	120	675
2	418	576
3	1955	558
4	3878	544
5	4370	544
6	4565	544
7	4760	544
8	4941	544
9	5173	544

Stop Event

1×	node limit

Counts

197 → 189

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))
(+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))
(+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))
(*.f64 1/120 (pow.f64 y 4))
(*.f64 1/120 (pow.f64 y 4))
(+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/2 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 2))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 4))) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/2 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 2)))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/2 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 2))))))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.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))) (cos.f64 x)))
(.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.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))) (cos.f64 x)))
(.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.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))) (cos.f64 x)))

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))
(fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))
(+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))
(fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))
(+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))
(fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))
(*.f64 1/120 (pow.f64 y 4))
(*.f64 1/120 (pow.f64 y 4))
(+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2))))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) 1)
(+.f64 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1)
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/2 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/2 (.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) 1) (.f64 x x))))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 -1/2 (.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1) (.f64 x x)) (.f64 1/120 (pow.f64 y 4)))))
(.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 4))) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/2 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 2)))))))
(fma.f64 1/24 (.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) 1) (pow.f64 x 4)) (+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/2 (.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) 1) (*.f64 x x)))))))
(+.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 -1/2 (.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1) (.f64 x x)) (.f64 1/120 (pow.f64 y 4)))) (fma.f64 1/24 (.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (pow.f64 x 4)) 1))
(fma.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (.f64 1/24 (pow.f64 x 4)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (*.f64 1/24 (pow.f64 x 4))))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/2 (.f64 (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 2)))) (pow.f64 x 2))))))))
(fma.f64 1/24 (.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) 1) (pow.f64 x 4)) (fma.f64 -1/720 (.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) 1) (pow.f64 x 6)) (+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/2 (.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) 1) (.f64 x x))))))))
(fma.f64 1/24 (.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1) (pow.f64 x 4)) (+.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 -1/2 (.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1) (.f64 x x)) (.f64 1/120 (pow.f64 y 4)))) (fma.f64 (.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1) -1/720) (pow.f64 x 6) 1)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) (.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 4))) (.f64 -1/2 (*.f64 x x)))))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 1 (.f64 -1/2 (.f64 x x))))))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 1 (.f64 1/24 (pow.f64 x 4))))))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(+.f64 (.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 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (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 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))
(.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))
(.f64 (.f64 1/120 (cos.f64 x)) (pow.f64 y 4))
(.f64 (pow.f64 y 4) (.f64 1/120 (cos.f64 x)))
(.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (.f64 1/6 (.f64 (.f64 y y) (cos.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (cos.f64 x))
(.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (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 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))
(.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)))
(.f64 (.f64 1/120 (cos.f64 x)) (pow.f64 y 4))
(.f64 (pow.f64 y 4) (.f64 1/120 (cos.f64 x)))
(.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (.f64 1/6 (.f64 (.f64 y y) (cos.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (cos.f64 x))
(.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (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 (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))) 1) (cos.f64 x))
(.f64 (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) (cos.f64 x))

eval268.0ms (3.4%)

Compiler: Compiled 8003 to 4614 computations (42.3% saved)

prune259.0ms (3.3%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	475	6	481
Fresh	1	0	1
Picked	1	0	1
Done	1	5	6
Total	478	11	489

Error

Counts

489 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	1
✓	1.6b	(cos.f64 x)
▶	30.3b	(/.f64 (sinh.f64 y) y)
▶	1.3b	(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
▶	19.9b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	30.4b	(*.f64 (sinh.f64 y) (/.f64 1 y))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	1.3b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	31.0b	(*.f64 y (/.f64 1 y))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))

Compiler

Compiled 140 to 102 computations (27.1% saved)

localize165.0ms (2.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series12.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
1.0ms	x	@	0	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
1.0ms	x	@	-inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
1.0ms	y	@	inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
1.0ms	y	@	0	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))

rewrite109.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`prod-diff_binary64`
468×	`log-prod_binary64`
359×	`fma-def_binary64`
357×	`exp-prod_binary64`
311×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	208	20
2	2635	20

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

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

simplify218.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
583×	`+-commutative_binary64`
581×	`associate-+l+_binary64`
574×	`distribute-rgt-in_binary64`
568×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	520
1	93	472
2	277	448
3	1060	426
4	4062	421
5	5202	421
6	6398	421
7	6643	421
8	6819	421
9	7049	421
10	7699	421

Stop Event

1×	node limit

Counts

137 → 118

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (.f64 -1/720 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (.f64 1/6 (pow.f64 y 2))))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 1/6 y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (.f64 x x)) (.f64 1/6 (.f64 y y))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (*.f64 x x) -1/2))))
(.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (.f64 x x)) (fma.f64 1/24 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 4)) (.f64 1/6 (*.f64 y y)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 x x)) (fma.f64 (.f64 (fma.f64 1/6 (.f64 y y) 1) 1/24) (pow.f64 x 4) (.f64 1/6 (*.f64 y y)))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4))))))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 4))))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (.f64 1/24 (pow.f64 x 4)) (fma.f64 -1/2 (.f64 x x) 1)))
(+.f64 (.f64 -1/720 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (.f64 1/6 (pow.f64 y 2))))))
(fma.f64 -1/720 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 6)) (+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (.f64 x x)) (fma.f64 1/24 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 4)) (.f64 1/6 (.f64 y y))))))
(+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 x x)) (fma.f64 (.f64 (fma.f64 1/6 (.f64 y y) 1) 1/24) (pow.f64 x 4) (.f64 1/6 (.f64 y y)))) (fma.f64 -1/720 (.f64 (fma.f64 1/6 (*.f64 y y) 1) (pow.f64 x 6)) 1))
(+.f64 (fma.f64 1/6 (.f64 y y) (.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 6) (+.f64 -1/720 (.f64 (.f64 y y) -1/4320)) 1))
(fma.f64 (pow.f64 x 4) (fma.f64 (.f64 y y) 1/144 1/24) (.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (fma.f64 -1/2 (*.f64 x x) 1))))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) (+.f64 1 (*.f64 -1/720 (pow.f64 x 6)))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 (.f64 1/6 (*.f64 y y)) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 (.f64 1/6 (*.f64 y y)) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (cos.f64 x))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite116.0ms (1.5%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

328×	`pow1_binary64`
318×	`add-sqr-sqrt_binary64`
310×	`*-un-lft-identity_binary64`
304×	`add-log-exp_binary64`
304×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	103	1
2	915	1
0	5	1

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12
1	4	12

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (sinh.f64 y) y)
	0.0b	(sinh.f64 y)

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize25.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -1/6 (*.f64 y y) 1)
✓	0.0b	(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))

Compiler

Compiled 26 to 13 computations (50% saved)

series12.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(fma.f64 -1/6 (*.f64 y y) 1)
2.0ms	y	@	inf	(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
2.0ms	x	@	inf	(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
2.0ms	x	@	0	(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
1.0ms	x	@	-inf	(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
773×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	178	21
2	2093	21

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

698×	`unswap-sqr_binary64`
675×	`fma-def_binary64`
666×	`distribute-rgt-out_binary64`
582×	`associate-l_binary64`
481×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	721
1	162	663
2	394	641
3	1166	623
4	5758	614

Stop Event

1×	node limit

Counts

88 → 82

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 -1/6 (pow.f64 y 2)))) (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/36 (.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 (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/216 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))

Outputs
(/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 1 (+.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 1 (+.f64 1 (.f64 -1/6 (*.f64 y y)))))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 -1/6 (.f64 y y) 1) x)) (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))
(fma.f64 -1/2 (.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)) x) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))
(fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 1 (.f64 -1/6 (.f64 y y)))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 1 (+.f64 1 (.f64 -1/6 (*.f64 y y))))))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 -1/6 (.f64 y y) 1) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(fma.f64 -1/2 (.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 -1/6 (pow.f64 y 2)))) (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))))
(fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 1 (.f64 -1/6 (.f64 y y)))) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 1 (+.f64 1 (.f64 -1/6 (.f64 y y))))) (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (.f64 -1/6 (.f64 y y)))))))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 -1/6 (.f64 y y) 1) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))))
(fma.f64 -1/2 (.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1)))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 -1/6 (.f64 y y) 1) x)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x))
(fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (cos.f64 x))
(.f64 (+.f64 (.f64 (*.f64 1/6 y) y) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(.f64 (cos.f64 x) (fma.f64 (.f64 y y) 1/6 1))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (fma.f64 1/36 (*.f64 (cos.f64 x) (pow.f64 y 4)) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/36 (pow.f64 y 4)) (.f64 (.f64 1/6 y) y))))
(.f64 (cos.f64 x) (+.f64 (.f64 y (*.f64 y 1/6)) (fma.f64 1/36 (pow.f64 y 4) 1)))
(.f64 (cos.f64 x) (+.f64 (.f64 (*.f64 y y) 1/6) (fma.f64 1/36 (pow.f64 y 4) 1)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (+.f64 (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/216 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x)) (fma.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 1/216 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(+.f64 (fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (cos.f64 x)) (fma.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 (cos.f64 x) (*.f64 (pow.f64 y 6) 1/216))))
(+.f64 (fma.f64 (cos.f64 x) (.f64 1/36 (pow.f64 y 4)) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (.f64 1/216 (pow.f64 y 6)) (.f64 (*.f64 1/6 y) y))))
(fma.f64 (cos.f64 x) (fma.f64 1/36 (pow.f64 y 4) (.f64 1/216 (pow.f64 y 6))) (.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))
(.f64 (cos.f64 x) (+.f64 (fma.f64 (.f64 y y) 1/6 1) (fma.f64 1/36 (pow.f64 y 4) (*.f64 1/216 (pow.f64 y 6)))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)))
(*.f64 -6 (/.f64 (/.f64 (cos.f64 x) y) y))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))
(.f64 (cos.f64 x) (+.f64 (/.f64 -6 (.f64 y y)) (/.f64 -36 (pow.f64 y 4))))
(.f64 (/.f64 (/.f64 (cos.f64 x) y) y) (+.f64 -6 (/.f64 -36 (.f64 y y))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y)))))
(fma.f64 -6 (/.f64 (/.f64 (cos.f64 x) y) y) (*.f64 (cos.f64 x) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -36 (pow.f64 y 4)))))
(.f64 (/.f64 (/.f64 (cos.f64 x) y) y) (+.f64 (+.f64 -6 (/.f64 -36 (.f64 y y))) (/.f64 -216 (pow.f64 y 4))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))))
(fma.f64 (/.f64 (/.f64 (cos.f64 x) y) y) (+.f64 -6 (/.f64 -36 (.f64 y y))) (.f64 (cos.f64 x) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8)))))
(fma.f64 (/.f64 (/.f64 (cos.f64 x) y) y) (+.f64 -6 (/.f64 -36 (.f64 y y))) (.f64 (/.f64 (cos.f64 x) (pow.f64 y 6)) (+.f64 -216 (/.f64 -1296 (*.f64 y y)))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)))
(*.f64 -6 (/.f64 (/.f64 (cos.f64 x) y) y))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))
(.f64 (cos.f64 x) (+.f64 (/.f64 -6 (.f64 y y)) (/.f64 -36 (pow.f64 y 4))))
(.f64 (/.f64 (/.f64 (cos.f64 x) y) y) (+.f64 -6 (/.f64 -36 (.f64 y y))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y)))))
(fma.f64 -6 (/.f64 (/.f64 (cos.f64 x) y) y) (*.f64 (cos.f64 x) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -36 (pow.f64 y 4)))))
(.f64 (/.f64 (/.f64 (cos.f64 x) y) y) (+.f64 (+.f64 -6 (/.f64 -36 (.f64 y y))) (/.f64 -216 (pow.f64 y 4))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))))
(fma.f64 (/.f64 (/.f64 (cos.f64 x) y) y) (+.f64 -6 (/.f64 -36 (.f64 y y))) (.f64 (cos.f64 x) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8)))))
(fma.f64 (/.f64 (/.f64 (cos.f64 x) y) y) (+.f64 -6 (/.f64 -36 (.f64 y y))) (.f64 (/.f64 (cos.f64 x) (pow.f64 y 6)) (+.f64 -216 (/.f64 -1296 (*.f64 y y)))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y))
✓	0.1b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
✓	0.1b	(*.f64 (cos.f64 x) (sinh.f64 y))
✓	0.2b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 39 to 10 computations (74.4% saved)

series23.0ms (0.3%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
3.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
1.0ms	y	@	-inf	(sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y))

rewrite101.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
366×	`exp-prod_binary64`
365×	`prod-exp_binary64`
298×	`pow-prod-down_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	213	43
2	2494	43

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

Inputs
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(*.f64 (cos.f64 x) (sinh.f64 y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
(sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y))

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

simplify178.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

948×	`fma-def_binary64`
600×	`associate-l_binary64`
591×	`associate-r_binary64`
264×	`*-commutative_binary64`
240×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2587
1	498	2462
2	1606	2266
3	7397	2266

Stop Event

1×	node limit

Counts

321 → 241

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 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.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 (pow.f64 (sqrt.f64 1/2) 2) (-.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 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y) (.f64 (-.f64 (+.f64 (.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) (.f64 1/64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (pow.f64 (sqrt.f64 1/2) 2) y)))) (pow.f64 (.f64 -1/8 (*.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))) 2)) (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 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y) (.f64 (-.f64 (+.f64 (.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) (.f64 1/64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (.f64 (pow.f64 (sqrt.f64 1/2) 2) y)))) (pow.f64 (.f64 -1/8 (*.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))) 2)) (pow.f64 x 4)))))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.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 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/120 (cos.f64 x)) (.f64 1/144 (cos.f64 x))) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (+.f64 (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/120 (cos.f64 x)) (.f64 1/144 (cos.f64 x))) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2))))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))) (*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) (pow.f64 (.f64 -1/8 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))) 2)) (pow.f64 x 4)) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))) (*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) (.f64 -1/8 (/.f64 (-.f64 (.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) (pow.f64 (.f64 -1/8 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6)) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) (pow.f64 (.f64 -1/8 (.f64 (/.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))) 2)) (pow.f64 x 4)) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))) (*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(sqrt.f64 (cos.f64 x))
(+.f64 (.f64 1/12 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 y 2))) (sqrt.f64 (cos.f64 x)))
(+.f64 (.f64 1/12 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 x))) (.f64 (-.f64 (.f64 1/120 (cos.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)) (pow.f64 y 4)))) (sqrt.f64 (cos.f64 x))))
(+.f64 (.f64 1/12 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 x))) (.f64 (-.f64 (.f64 1/5040 (cos.f64 x)) (.f64 1/12 (-.f64 (.f64 1/120 (cos.f64 x)) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)))) (pow.f64 y 6)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 x))) (.f64 (-.f64 (.f64 1/120 (cos.f64 x)) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)) (pow.f64 y 4)))) (sqrt.f64 (cos.f64 x)))))

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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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)))
(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 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 x x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 y 1/48))))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 -1/4 (.f64 (/.f64 (.f64 x x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (pow.f64 x 4) (/.f64 (fma.f64 (exp.f64 y) 1/48 (/.f64 -1/48 (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)))))
(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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) y) (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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (/.f64 y 1/48)))))
(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) (fma.f64 1/48 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 x 6) (fma.f64 (exp.f64 y) -1/1440 (/.f64 1/1440 (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 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (cos.f64 x) y))
(cos.f64 x)
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(.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))))
(.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))))
(.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))))
(sqrt.f64 (cos.f64 x))
(+.f64 (.f64 1/12 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 y 2))) (sqrt.f64 (cos.f64 x)))
(fma.f64 1/12 (.f64 (.f64 y y) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(fma.f64 1/12 (.f64 y (.f64 y (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(.f64 (+.f64 (.f64 y (*.f64 y 1/12)) 1) (sqrt.f64 (cos.f64 x)))
(+.f64 (.f64 1/12 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 x))) (.f64 (-.f64 (.f64 1/120 (cos.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)) (pow.f64 y 4)))) (sqrt.f64 (cos.f64 x))))
(fma.f64 1/12 (.f64 (.f64 y y) (sqrt.f64 (cos.f64 x))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 x))) (.f64 (pow.f64 y 4) (-.f64 (.f64 (cos.f64 x) 1/120) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)))) (sqrt.f64 (cos.f64 x))))
(fma.f64 1/12 (.f64 y (.f64 y (sqrt.f64 (cos.f64 x)))) (fma.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 x) 1/120) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 (cos.f64 x))))) (sqrt.f64 (cos.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 1 (cos.f64 x))) (.f64 1/2 (.f64 (pow.f64 y 4) (fma.f64 (cos.f64 x) 1/120 (.f64 (cos.f64 x) -1/144)))) (.f64 (+.f64 (.f64 y (.f64 y 1/12)) 1) (sqrt.f64 (cos.f64 x))))
(+.f64 (.f64 1/12 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 x))) (.f64 (-.f64 (.f64 1/5040 (cos.f64 x)) (.f64 1/12 (-.f64 (.f64 1/120 (cos.f64 x)) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)))) (pow.f64 y 6)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 x))) (.f64 (-.f64 (.f64 1/120 (cos.f64 x)) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)) (pow.f64 y 4)))) (sqrt.f64 (cos.f64 x)))))
(fma.f64 1/12 (.f64 (.f64 y y) (sqrt.f64 (cos.f64 x))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 x))) (.f64 (pow.f64 y 6) (-.f64 (.f64 (cos.f64 x) 1/5040) (.f64 1/12 (-.f64 (.f64 (cos.f64 x) 1/120) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 x))) (.f64 (pow.f64 y 4) (-.f64 (.f64 (cos.f64 x) 1/120) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 x)))) (+.f64 (.f64 (pow.f64 y 6) (fma.f64 (cos.f64 x) 1/5040 (.f64 (-.f64 (.f64 (cos.f64 x) 1/120) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2)) -1/12))) (.f64 (pow.f64 y 4) (-.f64 (.f64 (cos.f64 x) 1/120) (pow.f64 (.f64 1/12 (sqrt.f64 (cos.f64 x))) 2))))) (fma.f64 1/12 (.f64 y (*.f64 y (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x))))
(fma.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (cos.f64 x)))) (fma.f64 (pow.f64 y 6) (fma.f64 (fma.f64 (cos.f64 x) 1/120 (.f64 (cos.f64 x) -1/144)) -1/12 (.f64 (cos.f64 x) 1/5040)) (.f64 (pow.f64 y 4) (fma.f64 (cos.f64 x) 1/120 (.f64 (cos.f64 x) -1/144)))) (.f64 (+.f64 (.f64 y (.f64 y 1/12)) 1) (sqrt.f64 (cos.f64 x))))

eval384.0ms (4.9%)

Compiler: Compiled 8683 to 4537 computations (47.7% saved)

prune136.0ms (1.7%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	507	3	510
Fresh	0	1	1
Picked	0	1	1
Done	2	7	9
Total	509	12	521

Error

Counts

521 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	1
✓	1.6b	(cos.f64 x)
✓	30.3b	(/.f64 (sinh.f64 y) y)
▶	61.2b	(.f64 (.f64 1/6 (*.f64 y y)) (cos.f64 x))
▶	30.8b	(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
✓	1.3b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	30.4b	(*.f64 (sinh.f64 y) (/.f64 1 y))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	19.9b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
▶	1.3b	(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
✓	31.0b	(*.f64 y (/.f64 1 y))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))

Compiler

Compiled 104 to 77 computations (26% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 1/6 (*.f64 y y)) (cos.f64 x))
	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite96.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
666×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	162	12
2	1902	12

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify167.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

840×	`unswap-sqr_binary64`
637×	`associate-+l+_binary64`
637×	`distribute-rgt-out_binary64`
614×	`fma-def_binary64`
600×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	346
1	68	346
2	203	332
3	827	314
4	2346	314
5	3872	314
6	4986	314
7	5446	314
8	5776	314
9	5998	314
10	6314	314
11	6760	314
12	7208	314
13	7725	314

Stop Event

1×	node limit

Counts

37 → 23

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/4320 (.f64 (pow.f64 y 2) (pow.f64 x 6))) (+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))

Outputs
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/6 (.f64 y y) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (.f64 (*.f64 x x) -1/12)))
(.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x))))
(.f64 (.f64 y y) (fma.f64 x (*.f64 x -1/12) 1/6))
(+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(fma.f64 1/144 (.f64 (.f64 y y) (pow.f64 x 4)) (fma.f64 1/6 (.f64 y y) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x)))))
(fma.f64 1/144 (.f64 y (.f64 y (pow.f64 x 4))) (fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (.f64 (*.f64 x x) -1/12))))
(fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (+.f64 (.f64 -1/12 (.f64 x x)) (.f64 1/144 (pow.f64 x 4)))))
(.f64 (.f64 y y) (+.f64 1/6 (fma.f64 x (.f64 x -1/12) (.f64 1/144 (pow.f64 x 4)))))
(.f64 (.f64 y y) (+.f64 (.f64 x (.f64 x -1/12)) (fma.f64 1/144 (pow.f64 x 4) 1/6)))
(.f64 y (.f64 y (+.f64 (.f64 x (.f64 x -1/12)) (fma.f64 1/144 (pow.f64 x 4) 1/6))))
(+.f64 (.f64 -1/4320 (.f64 (pow.f64 y 2) (pow.f64 x 6))) (+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(fma.f64 -1/4320 (.f64 (.f64 y y) (pow.f64 x 6)) (fma.f64 1/144 (.f64 (.f64 y y) (pow.f64 x 4)) (fma.f64 1/6 (.f64 y y) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))))
(fma.f64 -1/4320 (.f64 y (.f64 y (pow.f64 x 6))) (fma.f64 1/144 (.f64 y (.f64 y (pow.f64 x 4))) (fma.f64 1/6 (.f64 y y) (.f64 (.f64 y y) (.f64 (*.f64 x x) -1/12)))))
(+.f64 (.f64 (.f64 y y) (+.f64 1/6 (.f64 -1/12 (.f64 x x)))) (.f64 (.f64 y y) (+.f64 (.f64 1/144 (pow.f64 x 4)) (.f64 -1/4320 (pow.f64 x 6)))))
(.f64 (.f64 y y) (+.f64 (fma.f64 x (.f64 x -1/12) 1/6) (fma.f64 1/144 (pow.f64 x 4) (.f64 -1/4320 (pow.f64 x 6)))))
(.f64 (.f64 y y) (+.f64 (fma.f64 x (.f64 x -1/12) (.f64 -1/4320 (pow.f64 x 6))) (fma.f64 1/144 (pow.f64 x 4) 1/6)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
	0.0b	(fma.f64 -1/6 (*.f64 y y) 1)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite91.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
536×	`add-log-exp_binary64`
535×	`log1p-expm1-u_binary64`
535×	`expm1-log1p-u_binary64`
524×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1543	11

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Rules

621×	`cancel-sign-sub-inv_binary64`
454×	`fma-def_binary64`
429×	`distribute-neg-frac_binary64`
413×	`unswap-sqr_binary64`
362×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	228
1	113	214
2	306	210
3	1017	210
4	3935	210
5	7638	210

Stop Event

1×	node limit

Counts

32 → 35

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/216 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 -6 (pow.f64 y 2))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(/.f64 -6 (pow.f64 y 2))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4))))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/36 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 1/216 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/216 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4)))))
(fma.f64 1/216 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (fma.f64 1/36 (pow.f64 y 4) 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) 1/6) (fma.f64 1/216 (pow.f64 y 6) 1))
(/.f64 -6 (pow.f64 y 2))
(/.f64 -6 (*.f64 y y))
(/.f64 (/.f64 -6 y) y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))))
(+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(-.f64 (/.f64 -36 (pow.f64 y 4)) (/.f64 6 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 -6 y) y) (/.f64 -36 (pow.f64 y 4)))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6)))))
(-.f64 (+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (/.f64 216 (pow.f64 y 6)))
(+.f64 (-.f64 (/.f64 -36 (pow.f64 y 4)) (/.f64 6 (*.f64 y y))) (/.f64 -216 (pow.f64 y 6)))
(-.f64 (/.f64 -216 (pow.f64 y 6)) (-.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 (/.f64 -6 y) y)))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6))) (/.f64 1296 (pow.f64 y 8)))))
(-.f64 (/.f64 -6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 1296 (pow.f64 y 8)))))
(+.f64 (+.f64 (-.f64 (/.f64 -36 (pow.f64 y 4)) (/.f64 6 (*.f64 y y))) (/.f64 -216 (pow.f64 y 6))) (/.f64 -1296 (pow.f64 y 8)))
(+.f64 (+.f64 (/.f64 (/.f64 -6 y) y) (/.f64 -36 (pow.f64 y 4))) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8))))
(/.f64 -6 (pow.f64 y 2))
(/.f64 -6 (*.f64 y y))
(/.f64 (/.f64 -6 y) y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))))
(+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(-.f64 (/.f64 -36 (pow.f64 y 4)) (/.f64 6 (*.f64 y y)))
(+.f64 (/.f64 (/.f64 -6 y) y) (/.f64 -36 (pow.f64 y 4)))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6)))))
(-.f64 (+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (/.f64 216 (pow.f64 y 6)))
(+.f64 (-.f64 (/.f64 -36 (pow.f64 y 4)) (/.f64 6 (*.f64 y y))) (/.f64 -216 (pow.f64 y 6)))
(-.f64 (/.f64 -216 (pow.f64 y 6)) (-.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 (/.f64 -6 y) y)))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6))) (/.f64 1296 (pow.f64 y 8)))))
(-.f64 (/.f64 -6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 1296 (pow.f64 y 8)))))
(+.f64 (+.f64 (-.f64 (/.f64 -36 (pow.f64 y 4)) (/.f64 6 (*.f64 y y))) (/.f64 -216 (pow.f64 y 6))) (/.f64 -1296 (pow.f64 y 8)))
(+.f64 (+.f64 (/.f64 (/.f64 -6 y) y) (/.f64 -36 (pow.f64 y 4))) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8))))

localize30.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/6 (.f64 y y)) 1)
✓	0.0b	(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
✓	0.2b	(.f64 -1/6 (.f64 y y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series9.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite133.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`log-prod_binary64`
375×	`exp-prod_binary64`
349×	`prod-diff_binary64`
265×	`pow-prod-down_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	211	28
2	2668	28

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

698×	`unswap-sqr_binary64`
675×	`fma-def_binary64`
666×	`distribute-rgt-out_binary64`
579×	`associate-l_binary64`
485×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	805
1	162	747
2	394	725
3	1166	707
4	5772	698

Stop Event

1×	node limit

Counts

185 → 166

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 -1/6 (pow.f64 y 2)))) (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/36 (.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 (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/216 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))

Outputs
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 1 (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 (.f64 -1/6 (.f64 y y)) 1)) (/.f64 1 (+.f64 (.f64 -1/6 (*.f64 y y)) 1)))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 -1/6 (.f64 y y) 1) x)) (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))
(fma.f64 -1/2 (.f64 (/.f64 x (fma.f64 y (.f64 -1/6 y) 1)) x) (/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1)))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 y (.f64 -1/6 y) 1) x)) (/.f64 1 (fma.f64 y (.f64 -1/6 y) 1)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 1 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))
(fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 (.f64 -1/6 (.f64 y y)) 1)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (.f64 -1/6 (.f64 y y)) 1)) (/.f64 1 (+.f64 (.f64 -1/6 (*.f64 y y)) 1))))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 -1/6 (.f64 y y) 1) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(fma.f64 -1/2 (.f64 (/.f64 x (fma.f64 y (.f64 -1/6 y) 1)) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 -1/6 y) 1)) (/.f64 1 (fma.f64 y (.f64 -1/6 y) 1))))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 y (.f64 -1/6 y) 1) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 -1/6 y) 1)) (/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 -1/6 (pow.f64 y 2)))) (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))))
(fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 (.f64 -1/6 (.f64 y y)) 1)) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (.f64 -1/6 (.f64 y y)) 1)) (/.f64 1 (+.f64 (.f64 -1/6 (.f64 y y)) 1))) (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (.f64 -1/6 (.f64 y y)) 1)))))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 -1/6 (.f64 y y) 1) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))))
(fma.f64 -1/2 (.f64 (/.f64 x (fma.f64 y (.f64 -1/6 y) 1)) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 -1/6 y) 1)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (fma.f64 y (.f64 -1/6 y) 1)) (/.f64 1 (fma.f64 y (*.f64 -1/6 y) 1)))))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 y (.f64 -1/6 y) 1) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 -1/6 y) 1)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (fma.f64 y (.f64 -1/6 y) 1)) (/.f64 1 (fma.f64 y (.f64 -1/6 y) 1)))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 -1/6 (.f64 y y) 1) x)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (fma.f64 y (*.f64 -1/6 y) 1))
(/.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (fma.f64 y (*.f64 -1/6 y) 1))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x))
(.f64 (+.f64 (.f64 y (*.f64 y 1/6)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (fma.f64 1/36 (*.f64 (cos.f64 x) (pow.f64 y 4)) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/36 (pow.f64 y 4)) (.f64 y (.f64 y 1/6)))))
(.f64 (cos.f64 x) (+.f64 (.f64 y (*.f64 y 1/6)) (fma.f64 1/36 (pow.f64 y 4) 1)))
(.f64 (cos.f64 x) (+.f64 (.f64 (*.f64 y y) 1/6) (fma.f64 1/36 (pow.f64 y 4) 1)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (+.f64 (.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4))) (.f64 1/216 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x)) (fma.f64 1/36 (.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 1/216 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(+.f64 (fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x)) (fma.f64 1/216 (.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 (*.f64 1/36 (pow.f64 y 4)) (cos.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (.f64 1/216 (pow.f64 y 6)) (.f64 y (.f64 y 1/6)))))
(fma.f64 (cos.f64 x) (fma.f64 1/36 (pow.f64 y 4) (.f64 1/216 (pow.f64 y 6))) (.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))
(.f64 (cos.f64 x) (+.f64 (fma.f64 y (.f64 y 1/6) 1) (fma.f64 1/36 (pow.f64 y 4) (*.f64 1/216 (pow.f64 y 6)))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)))
(.f64 (/.f64 -6 (.f64 y y)) (cos.f64 x))
(*.f64 -6 (/.f64 (/.f64 (cos.f64 x) y) y))
(.f64 (cos.f64 x) (/.f64 -6 (.f64 y y)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))
(.f64 (cos.f64 x) (+.f64 (/.f64 -6 (.f64 y y)) (/.f64 -36 (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y)))))
(fma.f64 -6 (/.f64 (/.f64 (cos.f64 x) y) y) (*.f64 (cos.f64 x) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -36 (pow.f64 y 4)))))
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 (+.f64 -6 (/.f64 -36 (*.f64 y y))) (/.f64 -216 (pow.f64 y 4))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))))
(fma.f64 (/.f64 (/.f64 (cos.f64 x) y) y) (+.f64 -6 (/.f64 -36 (.f64 y y))) (.f64 (/.f64 (cos.f64 x) (pow.f64 y 6)) (+.f64 -216 (/.f64 -1296 (*.f64 y y)))))
(fma.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (.f64 y y))) (*.f64 (cos.f64 x) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8)))))
(*.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)))
(.f64 (/.f64 -6 (.f64 y y)) (cos.f64 x))
(*.f64 -6 (/.f64 (/.f64 (cos.f64 x) y) y))
(.f64 (cos.f64 x) (/.f64 -6 (.f64 y y)))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))
(.f64 (cos.f64 x) (+.f64 (/.f64 -6 (.f64 y y)) (/.f64 -36 (pow.f64 y 4))))
(+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (*.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)))))
(fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y)))))
(fma.f64 -6 (/.f64 (/.f64 (cos.f64 x) y) y) (*.f64 (cos.f64 x) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -36 (pow.f64 y 4)))))
(.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 (+.f64 -6 (/.f64 -36 (*.f64 y y))) (/.f64 -216 (pow.f64 y 4))))
(+.f64 (.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8))) (+.f64 (.f64 -6 (/.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -6 (/.f64 (cos.f64 x) (.f64 y y)) (fma.f64 -36 (/.f64 (cos.f64 x) (pow.f64 y 4)) (.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 -1296 (/.f64 (cos.f64 x) (pow.f64 y 8)) (fma.f64 -216 (/.f64 (cos.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))))
(fma.f64 (/.f64 (/.f64 (cos.f64 x) y) y) (+.f64 -6 (/.f64 -36 (.f64 y y))) (.f64 (/.f64 (cos.f64 x) (pow.f64 y 6)) (+.f64 -216 (/.f64 -1296 (*.f64 y y)))))
(fma.f64 (/.f64 (cos.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (.f64 y y))) (*.f64 (cos.f64 x) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8)))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)

eval111.0ms (1.4%)

Compiler: Compiled 4178 to 2710 computations (35.1% saved)

prune48.0ms (0.6%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	281	4	285
Fresh	0	1	1
Picked	0	1	1
Done	1	9	10
Total	282	15	297

Error

Counts

297 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	1
✓	1.6b	(cos.f64 x)
	63.1b	(/.f64 1 (.f64 -1/6 (.f64 y y)))
	63.1b	(/.f64 (/.f64 -6 y) y)
✓	30.3b	(/.f64 (sinh.f64 y) y)
	30.8b	(/.f64 1 (+.f64 (.f64 -1/6 (.f64 y y)) 1))
✓	61.2b	(.f64 (.f64 1/6 (*.f64 y y)) (cos.f64 x))
✓	30.4b	(*.f64 (sinh.f64 y) (/.f64 1 y))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
	61.6b	(.f64 y (.f64 1/6 y))
✓	19.9b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
✓	1.3b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	1.3b	(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
✓	31.0b	(*.f64 y (/.f64 1 y))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))

Compiler

Compiled 128 to 95 computations (25.8% saved)

regimes67.0ms (0.9%)

Counts

21 → 1

Calls

Call 1

Inputs
1
(/.f64 (/.f64 -6 y) y)
(.f64 y (.f64 1/6 y))
(*.f64 y (/.f64 1 y))
(/.f64 1 (.f64 -1/6 (.f64 y y)))
(/.f64 1 (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(.f64 (.f64 1/6 (*.f64 y y)) (cos.f64 x))
(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (cos.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))
(.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)

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

Calls

7 calls:

12.0ms	x
11.0ms	y
11.0ms	(cos.f64 x)
10.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.0b	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.0b	1	`(cos.f64 x)`
0.0b	1	`(/.f64 (sinh.f64 y) y)`
0.0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 197 to 106 computations (46.2% saved)

regimes33.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`y`
1.3b	1	`(cos.f64 x)`
1.3b	1	`(/.f64 (sinh.f64 y) y)`
1.3b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 104 to 62 computations (40.4% saved)

regimes32.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`y`
1.3b	1	`(cos.f64 x)`
1.3b	1	`(/.f64 (sinh.f64 y) y)`
1.3b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 94 to 57 computations (39.4% saved)

regimes27.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

4 calls:

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

Results

Error	Segments	Branch
1.6b	1	`x`
1.6b	1	`y`
1.6b	1	`(cos.f64 x)`
1.6b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 78 to 48 computations (38.5% saved)

regimes14.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
5.0ms	x

Results

Error	Segments	Branch
30.8b	1	`x`
30.8b	1	`y`

Compiler

Compiled 40 to 27 computations (32.5% saved)

regimes11.0ms (0.1%)

Accuracy

Total -32.7b remaining (-105.8%)

Threshold costs -32.7b (-105.8%)

Counts

5 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Error	Segments	Branch
30.9b	1	`x`
30.9b	1	`y`

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	58
1	25	58

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 51 to 39 computations (23.5% saved)

soundness0.0ms (0%)

end39.0ms (0.5%)

Compiler: Compiled 41 to 24 computations (41.5% saved)

Details

analyze173.0ms (2.2%)

sample3.1s (38.9%)

preprocess67.0ms (0.9%)

simplify47.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series13.0ms (0.2%)

rewrite62.0ms (0.8%)

simplify67.0ms (0.9%)

localize11.0ms (0.1%)

series5.0ms (0.1%)

rewrite67.0ms (0.9%)

simplify64.0ms (0.8%)

eval53.0ms (0.7%)

prune36.0ms (0.5%)

localize10.0ms (0.1%)

series4.0ms (0.1%)

rewrite65.0ms (0.8%)

simplify66.0ms (0.8%)

localize4.0ms (0.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite53.0ms (0.7%)

simplify61.0ms (0.8%)

localize25.0ms (0.3%)

series7.0ms (0.1%)

rewrite59.0ms (0.7%)

simplify64.0ms (0.8%)

localize54.0ms (0.7%)

series9.0ms (0.1%)

rewrite169.0ms (2.2%)

simplify118.0ms (1.5%)

eval268.0ms (3.4%)

prune259.0ms (3.3%)

localize165.0ms (2.1%)

series12.0ms (0.2%)

rewrite109.0ms (1.4%)

simplify218.0ms (2.8%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite116.0ms (1.5%)

simplify15.0ms (0.2%)

localize9.0ms (0.1%)

localize25.0ms (0.3%)

series12.0ms (0.1%)

rewrite93.0ms (1.2%)

simplify73.0ms (0.9%)

localize16.0ms (0.2%)

series23.0ms (0.3%)

rewrite101.0ms (1.3%)

simplify178.0ms (2.3%)

eval384.0ms (4.9%)

prune136.0ms (1.7%)

localize18.0ms (0.2%)

series5.0ms (0.1%)

rewrite96.0ms (1.2%)

simplify167.0ms (2.1%)

localize11.0ms (0.1%)

series3.0ms (0%)

rewrite91.0ms (1.2%)

simplify76.0ms (1%)

localize30.0ms (0.4%)

series9.0ms (0.1%)

rewrite133.0ms (1.7%)

simplify89.0ms (1.1%)

eval111.0ms (1.4%)

prune48.0ms (0.6%)

regimes67.0ms (0.9%)

regimes33.0ms (0.4%)

regimes32.0ms (0.4%)

regimes27.0ms (0.3%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end39.0ms (0.5%)

Profiling