Details

analyze231.0ms (4.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
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)

sample3.2s (66.8%)

Results

852.0ms	2030×	body	1024	valid
768.0ms	5187×	body	256	valid
737.0ms	2083×	body	1024	infinite
267.0ms	1033×	body	512	valid
262.0ms	1018×	body	512	infinite
261.0ms	2081×	body	256	infinite
5.0ms	6×	body	2048	valid

Bogosity

preprocess52.0ms (1.1%)

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)

simplify36.0ms (0.8%)

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 → 3

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 23 to 10 computations (56.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize8.0ms (0.2%)

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)

series13.0ms (0.3%)

Counts

3 → 40

Calls

15 calls:

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

rewrite50.0ms (1.1%)

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	20
1	148	20
2	2008	20

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

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)))))))

((#(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)))))))

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-def_binary64`
584×	`associate-/r/_binary64`
306×	`log-prod_binary64`
188×	`distribute-rgt-in_binary64`
184×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	2081
1	651	1918
2	2772	1313

Stop Event

1×	node limit

Counts

122 → 147

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)))))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(-.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 1)
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(/.f64 (.f64 2 (sinh.f64 y)) (.f64 (/.f64 y (cos.f64 x)) 2))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (cos.f64 x)) (*.f64 2 y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 y (cos.f64 x))))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (neg.f64 (cos.f64 x))) (*.f64 2 (neg.f64 y)))
(/.f64 (.f64 (cos.f64 x) (.f64 2 (sinh.f64 y))) (*.f64 y 2))
(/.f64 (.f64 (neg.f64 (cos.f64 x)) (.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 1) y)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) 2)
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (cos.f64 x))) (neg.f64 y))
(/.f64 (.f64 (/.f64 (cos.f64 x) y) (.f64 2 (sinh.f64 y))) 2)
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (sinh.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (cos.f64 x) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(-.f64 (+.f64 1 (/.f64 (cos.f64 x) y)) 1)
(*.f64 (cos.f64 x) (/.f64 1 y))
(*.f64 (/.f64 (cos.f64 x) y) 1)
(*.f64 1 (/.f64 (cos.f64 x) y))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (/.f64 (cos.f64 x) y)))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 y)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (cos.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cos.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)))
(pow.f64 (/.f64 (cos.f64 x) y) 1)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) 2)
(pow.f64 (/.f64 y (cos.f64 x)) -1)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) y)))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) y)))
(-.f64 (+.f64 1 (sinh.f64 y)) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 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))
(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x)) (.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (fma.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6))) (.f64 (cos.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (.f64 1/120 (pow.f64 y 4)))))
(.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x))))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 (/.f64 -1/4 y) (.f64 x (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)))))
(fma.f64 1/2 (/.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)) (.f64 (/.f64 1/48 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 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 1/2 (/.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 -1/1440 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (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 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.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) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) 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))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) y) (/.f64 1 y)) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) y) (/.f64 1 y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (.f64 -1/720 (/.f64 (pow.f64 x 6) y))))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (fma.f64 1/24 (/.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))))
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 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(-.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 1)
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (.f64 2 (sinh.f64 y)) (.f64 (/.f64 y (cos.f64 x)) 2))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
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(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(log.f64 (exp.f64 (sinh.f64 y)))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series18.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
1.0ms	y	@	inf	(/.f64 y (sinh.f64 y))
1.0ms	y	@	-inf	(/.f64 y (sinh.f64 y))
0.0ms	y	@	0	(/.f64 y (sinh.f64 y))
0.0ms	x	@	0	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))

rewrite48.0ms (1%)

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)))))))

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)))))))

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

594×	`associate-/r/_binary64`
538×	`unswap-sqr_binary64`
533×	`fma-def_binary64`
318×	`associate-/l/_binary64`
273×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	2036
1	614	1522
2	2210	1356

Stop Event

1×	node limit

Counts

109 → 122

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))
(-.f64 (+.f64 1 (/.f64 y (sinh.f64 y))) 1)
(*.f64 y (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 1 (/.f64 y (sinh.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (sinh.f64 y)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(.f64 (/.f64 y (.f64 2 (sinh.f64 y))) 2)
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(-.f64 (+.f64 1 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y) 1)
(.f64 1 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2))
(.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)))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 1 y) (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(.f64 (/.f64 (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)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 (cos.f64 x) y) 1) (sinh.f64 y))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) -1)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.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)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.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))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.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)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 y) (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.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)))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) y))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (/.f64 (cos.f64 x) y) 1) (sinh.f64 y))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 1)
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 3)
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) -1)
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 2))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

eval67.0ms (1.4%)

Compiler: Compiled 4561 to 1878 computations (58.8% saved)

prune43.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	302	4	306
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	303	5	308

Error

Counts

308 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.6b	(/.f64 (sinh.f64 y) y)
▶	0.0b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	0.0b	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
▶	0.5b	(cos.f64 x)

Compiler

Compiled 43 to 31 computations (27.9% saved)

localize3.0ms (0.1%)

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 17 computations (48.5% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
1.0ms	x	@	inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
1.0ms	x	@	0	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
1.0ms	y	@	0	(.f64 (.f64 y y) 1/6)
0.0ms	y	@	inf	(.f64 (.f64 y y) 1/6)

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`prod-diff_binary64`
467×	`log-prod_binary64`
360×	`fma-def_binary64`
347×	`exp-prod_binary64`
314×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	208	20
2	2633	20

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-def_binary64`
646×	`fma-neg_binary64`
431×	`distribute-rgt-in_binary64`
406×	`distribute-lft-in_binary64`
347×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	1981
1	682	1929
2	1884	1881
3	7432	1879

Stop Event

1×	node limit

Counts

137 → 160

Calls

Call 1

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

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1)) (.f64 y (*.f64 1/6 y))))
(+.f64 (.f64 (.f64 x x) (.f64 -1/2 (fma.f64 1/6 (.f64 y y) 1))) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (.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 x x) (fma.f64 y (.f64 1/6 y) 1)) (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 y (.f64 1/6 y) 1)) (.f64 y (*.f64 1/6 y)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/6 (.f64 y y) 1))) (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 1/6 (.f64 y y) 1)) (.f64 y (*.f64 1/6 y)))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/720 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (.f64 1/6 (pow.f64 y 2))))))
(fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 y (.f64 1/6 y) 1)) (+.f64 1 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1)) (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 y (.f64 1/6 y) 1)) (.f64 y (*.f64 1/6 y))))))
(+.f64 (fma.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/6 (.f64 y y) 1))) (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 1/6 (.f64 y y) 1)) (.f64 y (.f64 1/6 y)))) (fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 1/6 (*.f64 y y) 1)) 1))
(+.f64 1 (fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 1/6 (.f64 y y) (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
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(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 3))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 2))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 1) 1))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 y (.f64 (.f64 y 1/6) (cos.f64 x)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (.f64 y y) (.f64 1/6 (cos.f64 x)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (.f64 (.f64 y y) 1/6) (cos.f64 x) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (cos.f64 x) (.f64 (.f64 y y) 1/6) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (cos.f64 x) 1 (.f64 (.f64 y y) (*.f64 1/6 (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (cos.f64 x) 1 (.f64 (.f64 (.f64 y y) (.f64 1/6 (cos.f64 x))) 1))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1 (cos.f64 x) (.f64 (.f64 y y) (*.f64 1/6 (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1 (cos.f64 x) (.f64 (.f64 (.f64 y y) (.f64 1/6 (cos.f64 x))) 1))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1 (.f64 (.f64 y y) (*.f64 1/6 (cos.f64 x))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (.f64 (cbrt.f64 (.f64 (.f64 y y) 1/6)) (cos.f64 x)) (cos.f64 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (.f64 (cos.f64 x) (cbrt.f64 (.f64 y (.f64 1/6 y)))) (cos.f64 x))
(fma.f64 (cos.f64 x) (.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) (cbrt.f64 (.f64 (pow.f64 y 4) 1/36))) (cos.f64 x))
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (.f64 y y) (*.f64 1/6 (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (.f64 (.f64 y y) (.f64 1/6 (cos.f64 x))) 1))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 y y) (*.f64 1/6 (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 (.f64 y y) (.f64 1/6 (cos.f64 x))) 1))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (.f64 (*.f64 y y) 1/6)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) 1) (.f64 (.f64 y y) (.f64 1/6 (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) 1) (.f64 (.f64 (.f64 y y) (*.f64 1/6 (cos.f64 x))) 1))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (.f64 y (sqrt.f64 1/6)) (.f64 (*.f64 y (sqrt.f64 1/6)) (cos.f64 x)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 y y) (*.f64 1/6 (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 (.f64 y y) (.f64 1/6 (cos.f64 x))) 1))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (.f64 (*.f64 y y) 1/6)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) 1) (.f64 (.f64 y y) (.f64 1/6 (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) 1) (.f64 (.f64 (.f64 y y) (*.f64 1/6 (cos.f64 x))) 1))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 y y) (.f64 1/6 (cos.f64 x)))) 2) (cbrt.f64 (.f64 (.f64 y y) (.f64 1/6 (cos.f64 x)))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(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))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (.f64 (cos.f64 x) y) (.f64 y 1/6) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (.f64 (cos.f64 x) (.f64 y y)) 1/6 (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (.f64 (cos.f64 x) 1/6) (.f64 y y) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (.f64 (cos.f64 x) (cbrt.f64 (.f64 (pow.f64 y 4) 1/36))) (cbrt.f64 (.f64 (.f64 y y) 1/6)) (cos.f64 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (.f64 (cos.f64 x) (cbrt.f64 (.f64 y (.f64 1/6 y)))) (cos.f64 x))
(fma.f64 (cos.f64 x) (.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) (cbrt.f64 (.f64 (pow.f64 y 4) 1/36))) (cos.f64 x))
(fma.f64 (.f64 (cos.f64 x) (.f64 y (sqrt.f64 1/6))) (*.f64 y (sqrt.f64 1/6)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (.f64 (.f64 y (sqrt.f64 1/6)) (cbrt.f64 (cos.f64 x))) 2) (cbrt.f64 (cos.f64 x)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (.f64 (.f64 (*.f64 y y) 1/6) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))

localize13.0ms (0.3%)

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)

series7.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	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	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))))

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

478×	`log-prod_binary64`
403×	`prod-diff_binary64`
375×	`exp-prod_binary64`
296×	`fma-def_binary64`
263×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	209	20
2	2681	20

Stop Event

1×	node limit

Counts

2 → 82

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

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-def_binary64`
440×	`log-div_binary64`
365×	`associate-/l*_binary64`
354×	`times-frac_binary64`
245×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	1935
1	651	1878
2	1724	1838
3	7151	1838

Stop Event

1×	node limit

Counts

118 → 149

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

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

localize4.0ms (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)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
487×	`add-sqr-sqrt_binary64`
472×	`add-log-exp_binary64`
471×	`log1p-expm1-u_binary64`
471×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	88	6
2	1227	6

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

713×	`log-prod_binary64`
611×	`fma-def_binary64`
499×	`associate-l_binary64`
431×	`associate-r_binary64`
318×	`log-div_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	568
1	239	479
2	773	386
3	5143	376

Stop Event

1×	node limit

Counts

42 → 52

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))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.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 y (.f64 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 (.f64 y y) (fma.f64 y (.f64 y 1/120) 1/6) (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)
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 3))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)

eval122.0ms (2.6%)

Compiler: Compiled 6383 to 3862 computations (39.5% saved)

prune58.0ms (1.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	396	2	398
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	396	7	403

Error

Counts

403 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.6b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	24.6b	(+.f64 1 (.f64 1/6 (.f64 y y)))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	0.0b	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
✓	0.5b	(cos.f64 x)
	24.8b	1

Compiler

Compiled 55 to 41 computations (25.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite35.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1079×	`log-prod_binary64`
420×	`associate-l_binary64`
379×	`associate-r_binary64`
322×	`associate-+l+_binary64`
306×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	216
1	101	206
2	359	191
3	3010	191
4	6278	191

Stop Event

1×	node limit

Counts

26 → 18

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

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

eval5.0ms (0.1%)

Compiler: Compiled 207 to 148 computations (28.5% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	18	7	25

Error

Counts

25 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.6b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
✓	24.6b	(+.f64 1 (.f64 1/6 (.f64 y y)))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	0.0b	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
✓	0.5b	(cos.f64 x)
	24.8b	1

Compiler

Compiled 55 to 41 computations (25.5% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.6b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
✓	24.6b	(+.f64 1 (.f64 1/6 (.f64 y y)))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	0.0b	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
✓	0.5b	(cos.f64 x)
	24.8b	1

Compiler

Compiled 55 to 41 computations (25.5% saved)

regimes33.0ms (0.7%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	y
6.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms	x
5.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(cos.f64 x)

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 97 to 53 computations (45.4% saved)

regimes24.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	y
5.0ms	x
4.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(cos.f64 x)
3.0ms	(/.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	`(cos.f64 x)`
0.0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 75 to 41 computations (45.3% saved)

regimes21.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(cos.f64 x)
5.0ms	x
4.0ms	y
2.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`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 58 to 36 computations (37.9% saved)

regimes14.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

4 calls:

5.0ms	x
4.0ms	y
3.0ms	(cos.f64 x)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`(cos.f64 x)`
0.5b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.8%)

Threshold costs -0.2b (-0.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
24.6b	1	`x`
24.6b	1	`y`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify26.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	22	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 46 to 34 computations (26.1% saved)

soundness85.0ms (1.8%)

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

end31.0ms (0.7%)

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

Details

analyze231.0ms (4.9%)

sample3.2s (66.8%)

preprocess52.0ms (1.1%)

simplify36.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series13.0ms (0.3%)

rewrite50.0ms (1.1%)

simplify54.0ms (1.1%)

localize8.0ms (0.2%)

series18.0ms (0.4%)

rewrite48.0ms (1%)

simplify51.0ms (1.1%)

eval67.0ms (1.4%)

prune43.0ms (0.9%)

localize3.0ms (0.1%)

localize11.0ms (0.2%)

series6.0ms (0.1%)

rewrite57.0ms (1.2%)

simplify75.0ms (1.6%)

localize13.0ms (0.3%)

series7.0ms (0.2%)

rewrite54.0ms (1.1%)

simplify69.0ms (1.5%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite37.0ms (0.8%)

simplify40.0ms (0.8%)

eval122.0ms (2.6%)

prune58.0ms (1.2%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite35.0ms (0.7%)

simplify38.0ms (0.8%)

eval5.0ms (0.1%)

prune5.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes33.0ms (0.7%)

regimes24.0ms (0.5%)

regimes21.0ms (0.4%)

regimes14.0ms (0.3%)

regimes7.0ms (0.1%)

simplify26.0ms (0.6%)

soundness85.0ms (1.8%)

end31.0ms (0.7%)

Profiling