Details

analyze208.0ms (3.9%)

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)

sample3.1s (57%)

Results

761.0ms	2052×	body	1024	valid
713.0ms	2000×	body	1024	infinite
681.0ms	5116×	body	256	valid
341.0ms	2023×	body	256	infinite
293.0ms	990×	body	512	infinite
239.0ms	1084×	body	512	valid
2.0ms	4×	body	2048	valid
0.0ms	1×	body	2048	infinite

Bogosity

preprocess51.0ms (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)

simplify37.0ms (0.7%)

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)))
▶	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 y)
✓	0.1b	(/.f64 (cos.f64 x) y)
✓	0.3b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series14.0ms (0.3%)

Counts

3 → 40

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
2.0ms	x	@	-inf	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
2.0ms	y	@	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))

rewrite52.0ms (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)))))))

simplify52.0ms (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 (0.1%)

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)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite46.0ms (0.9%)

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)))))))

simplify48.0ms (0.9%)

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))

eval63.0ms (1.2%)

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

prune43.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	301	5	306
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	301	7	308

Error

Counts

308 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.8b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	28.0b	(*.f64 (sinh.f64 y) (/.f64 1 y))
▶	0.3b	(*.f64 (sinh.f64 y) (-.f64 (+.f64 1 (/.f64 (cos.f64 x) y)) 1))
▶	1.3b	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
▶	1.7b	(cos.f64 x)

Compiler

Compiled 104 to 76 computations (26.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (cos.f64 x) y))
✓	0.1b	(-.f64 (+.f64 1 (/.f64 (cos.f64 x) y)) 1)
	0.1b	(/.f64 (cos.f64 x) y)
✓	0.3b	(*.f64 (sinh.f64 y) (-.f64 (+.f64 1 (/.f64 (cos.f64 x) y)) 1))

Compiler

Compiled 38 to 17 computations (55.3% saved)

series5.0ms (0.1%)

Counts

3 → 55

Calls

18 calls:

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

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`log-prod_binary64`
478×	`prod-diff_binary64`
404×	`fma-def_binary64`
270×	`pow2_binary64`
188×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	222	26
2	3212	26

Stop Event

1×	node limit

Counts

3 → 211

Calls

Call 1

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

Outputs

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

simplify93.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-neg_binary64`
272×	`div-sub_binary64`
241×	`distribute-rgt-neg-out_binary64`
197×	`log-prod_binary64`
186×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	4434
1	1102	4290
2	4112	4245

Stop Event

1×	node limit

Counts

266 → 310

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

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

localize3.0ms (0.1%)

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

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)

rewrite35.0ms (0.7%)

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 (0.7%)

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)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite38.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

763×	`log-prod_binary64`
610×	`log-div_binary64`
588×	`fma-def_binary64`
372×	`fma-neg_binary64`
326×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	612
1	236	610
2	752	256
3	4955	256

Stop Event

1×	node limit

Counts

39 → 41

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

localize12.0ms (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)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite55.0ms (1%)

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))))))

simplify76.0ms (1.4%)

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))
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(+.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))))
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(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 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 (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))

eval172.0ms (3.2%)

Compiler: Compiled 10957 to 5626 computations (48.7% saved)

prune114.0ms (2.1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	683	4	687
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	683	11	694

Error

Counts

694 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.8b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
▶	28.4b	(+.f64 1 (.f64 1/6 (.f64 y y)))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	28.0b	(*.f64 (sinh.f64 y) (/.f64 1 y))
▶	28.0b	(*.f64 (sinh.f64 y) (-.f64 (+.f64 (/.f64 1 y) 1) 1))
✓	0.3b	(*.f64 (sinh.f64 y) (-.f64 (+.f64 1 (/.f64 (cos.f64 x) y)) 1))
✓	1.3b	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
▶	28.7b	(*.f64 y (/.f64 1 y))
✓	1.7b	(cos.f64 x)
	28.5b	1

Compiler

Compiled 92 to 69 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite40.0ms (0.8%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13
1	4	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 23 computations (25.8% saved)

series3.0ms (0%)

Counts

3 → 27

Calls

9 calls:

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

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`pow1_binary64`
838×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
822×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	183	20
2	2581	20

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

Outputs

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

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

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

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

641×	`associate-/l*_binary64`
514×	`associate-/r*_binary64`
424×	`fma-neg_binary64`
365×	`associate-*l/_binary64`
318×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	1836
1	651	1764
2	2508	1422

Stop Event

1×	node limit

Counts

138 → 145

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

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))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
1
1
(+.f64 (.f64 (sinh.f64 y) (/.f64 1 y)) (.f64 0 (sinh.f64 y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(+.f64 (.f64 (sinh.f64 y) (/.f64 1 y)) (.f64 (sinh.f64 y) 0))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(+.f64 (.f64 (+.f64 1 (/.f64 1 y)) (sinh.f64 y)) (.f64 -1 (sinh.f64 y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(+.f64 (.f64 (sinh.f64 y) (+.f64 1 (/.f64 1 y))) (.f64 (sinh.f64 y) -1))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(-.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 1 y))) 1)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) -1)) (*.f64 2 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 (/.f64 1 y) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 (.f64 2 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))) (.f64 2 (sinh.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y))) (/.f64 (sinh.f64 y) 1)))
(*.f64 (sinh.f64 y) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) -1)) (*.f64 2 (+.f64 (/.f64 1 y) 2)))
(/.f64 (.f64 2 (sinh.f64 y)) (/.f64 (+.f64 (.f64 (/.f64 1 y) 2) 4) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2))))
(.f64 1 (.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (+.f64 2 (/.f64 1 y))) (sinh.f64 y)))
(/.f64 (/.f64 (+.f64 2 (/.f64 1 y)) (/.f64 y (sinh.f64 y))) (+.f64 2 (/.f64 1 y)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) -1) (.f64 2 (sinh.f64 y))) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 (/.f64 1 y) 2)) 2))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 (.f64 2 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))) (.f64 2 (sinh.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y))) (/.f64 (sinh.f64 y) 1)))
(*.f64 (sinh.f64 y) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) -1) (.f64 2 (sinh.f64 y))) (*.f64 (+.f64 (/.f64 1 y) 2) 2))
(/.f64 (.f64 2 (sinh.f64 y)) (/.f64 (+.f64 (.f64 (/.f64 1 y) 2) 4) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2))))
(.f64 1 (.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (+.f64 2 (/.f64 1 y))) (sinh.f64 y)))
(/.f64 (/.f64 (+.f64 2 (/.f64 1 y)) (/.f64 y (sinh.f64 y))) (+.f64 2 (/.f64 1 y)))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (/.f64 1 y)) 2)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) -1) (sinh.f64 y)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 (/.f64 1 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 (.f64 2 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))) (.f64 2 (sinh.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y))) (/.f64 (sinh.f64 y) 1)))
(*.f64 (sinh.f64 y) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) -1) (sinh.f64 y)) (+.f64 (/.f64 1 y) 2))
(/.f64 (.f64 2 (sinh.f64 y)) (/.f64 (+.f64 (.f64 (/.f64 1 y) 2) 4) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2))))
(.f64 1 (.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (+.f64 2 (/.f64 1 y))) (sinh.f64 y)))
(/.f64 (/.f64 (+.f64 2 (/.f64 1 y)) (/.f64 y (sinh.f64 y))) (+.f64 2 (/.f64 1 y)))
(/.f64 (*.f64 (sinh.f64 y) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 (/.f64 1 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 (.f64 2 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))) (.f64 2 (sinh.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y))) (/.f64 (sinh.f64 y) 1)))
(*.f64 (sinh.f64 y) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))))
(/.f64 (*.f64 (sinh.f64 y) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) -1)) (+.f64 (/.f64 1 y) 2))
(/.f64 (.f64 2 (sinh.f64 y)) (/.f64 (+.f64 (.f64 (/.f64 1 y) 2) 4) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2))))
(.f64 1 (.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (+.f64 2 (/.f64 1 y))) (sinh.f64 y)))
(/.f64 (/.f64 (+.f64 2 (/.f64 1 y)) (/.f64 y (sinh.f64 y))) (+.f64 2 (/.f64 1 y)))
(/.f64 (.f64 (/.f64 1 y) (.f64 2 (sinh.f64 y))) 2)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 1 y)) 1)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 1 y)) 3) 1/3)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 1 y))) 3)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(pow.f64 (*.f64 (pow.f64 y -1/2) (sqrt.f64 (sinh.f64 y))) 2)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (*.f64 (pow.f64 y -2) (pow.f64 (sinh.f64 y) 2)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(fabs.f64 (/.f64 (sinh.f64 y) y))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 1 y)) 3))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y -3)))
(cbrt.f64 (*.f64 (pow.f64 y -3) (pow.f64 (sinh.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y -3)))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 1 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 1 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 1 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (sinh.f64 y) y)
(+.f64 1 (+.f64 (/.f64 1 y) -1))
(/.f64 1 y)
(+.f64 (/.f64 1 y) 0)
(/.f64 1 y)
(+.f64 (+.f64 1 (/.f64 1 y)) -1)
(/.f64 1 y)
(+.f64 0 (/.f64 1 y))
(/.f64 1 y)
(+.f64 -1 (+.f64 1 (/.f64 1 y)))
(/.f64 1 y)
(*.f64 1 (/.f64 1 y))
(/.f64 1 y)
(*.f64 (/.f64 1 y) 1)
(/.f64 1 y)
(*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (/.f64 1 (cbrt.f64 y)) 1))
(*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y))
(*.f64 (pow.f64 y -1/2) (pow.f64 y -1/2))
(/.f64 1 y)
(.f64 (pow.f64 y -1/2) (.f64 (pow.f64 y -1/2) 1))
(/.f64 1 y)
(*.f64 -1 (/.f64 1 (neg.f64 y)))
(/.f64 1 y)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 (/.f64 1 y) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) -1) (/.f64 1 (+.f64 (/.f64 1 y) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (/.f64 1 (+.f64 2 (/.f64 1 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (+.f64 2 (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 -2 (/.f64 -1 y)) (/.f64 1 y)) (+.f64 -2 (/.f64 -1 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) -1) (pow.f64 (cbrt.f64 y) -1))
(/.f64 1 y)
(*.f64 (pow.f64 (sqrt.f64 y) -1) (pow.f64 (sqrt.f64 y) -1))
(/.f64 1 y)
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 y -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 y -1/2)) 1))
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 (neg.f64 (neg.f64 y)))
(/.f64 1 y)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 (/.f64 1 y) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 y) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (/.f64 1 (+.f64 2 (/.f64 1 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (+.f64 2 (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 -2 (/.f64 -1 y)) (/.f64 1 y)) (+.f64 -2 (/.f64 -1 y)))
(/.f64 (pow.f64 y -1/2) (sqrt.f64 y))
(/.f64 -1 (neg.f64 y))
(/.f64 1 y)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 (/.f64 1 y) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 y)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) -1) (+.f64 (/.f64 1 y) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (/.f64 1 (+.f64 2 (/.f64 1 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (+.f64 2 (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 -2 (/.f64 -1 y)) (/.f64 1 y)) (+.f64 -2 (/.f64 -1 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) -1) (-.f64 (+.f64 1 (/.f64 1 y)) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (/.f64 1 (+.f64 2 (/.f64 1 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (+.f64 2 (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 -2 (/.f64 -1 y)) (/.f64 1 y)) (+.f64 -2 (/.f64 -1 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 (/.f64 1 y) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) (+.f64 2 (/.f64 1 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2) -1)) (neg.f64 (+.f64 (/.f64 1 y) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (/.f64 1 (+.f64 2 (/.f64 1 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 y)) 2)) (+.f64 2 (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 -2 (/.f64 -1 y)) (/.f64 1 y)) (+.f64 -2 (/.f64 -1 y)))
(/.f64 (+.f64 (pow.f64 y -3) 0) (+.f64 (pow.f64 y -2) (-.f64 0 (*.f64 (/.f64 1 y) 0))))
(/.f64 (pow.f64 y -3) (pow.f64 y -2))
(/.f64 (-.f64 (pow.f64 y -2) 0) (-.f64 (/.f64 1 y) 0))
(/.f64 1 y)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 1 y)
(pow.f64 y -1)
(/.f64 1 y)
(pow.f64 (/.f64 1 y) 1)
(/.f64 1 y)
(pow.f64 (/.f64 1 (cbrt.f64 y)) 3)
(/.f64 1 y)
(pow.f64 (pow.f64 y -1/2) 2)
(/.f64 1 y)
(pow.f64 (pow.f64 y -3) 1/3)
(cbrt.f64 (pow.f64 y -3))
(sqrt.f64 (pow.f64 y -2))
(/.f64 1 y)
(log.f64 (exp.f64 (/.f64 1 y)))
(/.f64 1 y)
(cbrt.f64 (pow.f64 y -3))
(expm1.f64 (log1p.f64 (/.f64 1 y)))
(/.f64 1 y)
(log1p.f64 (expm1.f64 (/.f64 1 y)))
(/.f64 1 y)
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)
(fma.f64 1 (/.f64 1 y) 0)
(/.f64 1 y)
(fma.f64 1 (+.f64 1 (/.f64 1 y)) -1)
(/.f64 1 y)
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) 0)
(*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 y))) -1)
(/.f64 1 y)
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) 0)
(/.f64 1 y)
(fma.f64 (hypot.f64 1 (pow.f64 y -1/2)) (hypot.f64 1 (pow.f64 y -1/2)) -1)
(/.f64 1 y)
(-.f64 (+.f64 (/.f64 1 y) 2) 1)
(+.f64 1 (/.f64 1 y))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 1 (+.f64 (/.f64 1 y) -1)))
(+.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 -1 (+.f64 (/.f64 1 y) -1)))
(/.f64 (+.f64 -1 (pow.f64 y -2)) (+.f64 (/.f64 1 y) -1))
(*.f64 1 (+.f64 1 (/.f64 1 y)))
(+.f64 1 (/.f64 1 y))
(*.f64 (+.f64 1 (/.f64 1 y)) 1)
(+.f64 1 (/.f64 1 y))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2))
(+.f64 1 (/.f64 1 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 y))))
(+.f64 1 (/.f64 1 y))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 1))
(+.f64 1 (/.f64 1 y))
(*.f64 (hypot.f64 1 (pow.f64 y -1/2)) (hypot.f64 1 (pow.f64 y -1/2)))
(+.f64 1 (/.f64 1 y))
(.f64 (hypot.f64 1 (pow.f64 y -1/2)) (.f64 (hypot.f64 1 (pow.f64 y -1/2)) 1))
(+.f64 1 (/.f64 1 y))
(*.f64 (+.f64 1 (pow.f64 y -3)) (/.f64 1 (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 1 y)))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 1 y))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 -1 y))))
(*.f64 (+.f64 (pow.f64 y -2) -1) (/.f64 1 (+.f64 (/.f64 1 y) -1)))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 1 (+.f64 (/.f64 1 y) -1)))
(+.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 -1 (+.f64 (/.f64 1 y) -1)))
(/.f64 (+.f64 -1 (pow.f64 y -2)) (+.f64 (/.f64 1 y) -1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 1 y))) (+.f64 1 (pow.f64 y -3))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 1 y))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 -1 y))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (pow.f64 y -2) -1)))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 1 (+.f64 (/.f64 1 y) -1)))
(+.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 -1 (+.f64 (/.f64 1 y) -1)))
(/.f64 (+.f64 -1 (pow.f64 y -2)) (+.f64 (/.f64 1 y) -1))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 1 y))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 -1 y))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 1 (-.f64 (pow.f64 y -2) (/.f64 1 y))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 1 y))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 -1 y))))
(/.f64 (+.f64 (pow.f64 y -2) -1) (+.f64 (/.f64 1 y) -1))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 1 (+.f64 (/.f64 1 y) -1)))
(+.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 -1 (+.f64 (/.f64 1 y) -1)))
(/.f64 (+.f64 -1 (pow.f64 y -2)) (+.f64 (/.f64 1 y) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 y -3))) (neg.f64 (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 1 y)))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 1 y))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 -1 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y -2) -1)) (neg.f64 (+.f64 (/.f64 1 y) -1)))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 1 (+.f64 (/.f64 1 y) -1)))
(+.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 -1 (+.f64 (/.f64 1 y) -1)))
(/.f64 (+.f64 -1 (pow.f64 y -2)) (+.f64 (/.f64 1 y) -1))
(/.f64 (-.f64 1 (pow.f64 y -2)) (-.f64 1 (/.f64 1 y)))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 1 (+.f64 (/.f64 1 y) -1)))
(+.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 -1 (+.f64 (/.f64 1 y) -1)))
(/.f64 (+.f64 -1 (pow.f64 y -2)) (+.f64 (/.f64 1 y) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y -3)) 1) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 1 y))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 1 y))))
(/.f64 (+.f64 1 (pow.f64 y -3)) (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 -1 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 y -2) -1) 1) (+.f64 (/.f64 1 y) -1))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 1 (+.f64 (/.f64 1 y) -1)))
(+.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) -1)) (/.f64 -1 (+.f64 (/.f64 1 y) -1)))
(/.f64 (+.f64 -1 (pow.f64 y -2)) (+.f64 (/.f64 1 y) -1))
(pow.f64 (+.f64 1 (/.f64 1 y)) 1)
(+.f64 1 (/.f64 1 y))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 3)
(+.f64 1 (/.f64 1 y))
(pow.f64 (hypot.f64 1 (pow.f64 y -1/2)) 2)
(+.f64 1 (/.f64 1 y))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) 1/3)
(+.f64 1 (/.f64 1 y))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 2))
(+.f64 1 (/.f64 1 y))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 y))))
(+.f64 1 (/.f64 1 y))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3))
(+.f64 1 (/.f64 1 y))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 y) 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 y))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 y))))
(+.f64 1 (/.f64 1 y))
(exp.f64 (log1p.f64 (/.f64 1 y)))
(fma.f64 1 (/.f64 1 y) 1)
(+.f64 1 (/.f64 1 y))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) 1)
(+.f64 1 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) 1)
(+.f64 1 (/.f64 1 y))

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))

rewrite34.0ms (0.6%)

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 (0.7%)

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))

eval56.0ms (1.1%)

Compiler: Compiled 2864 to 2099 computations (26.7% saved)

prune32.0ms (0.6%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	200	12	212

Error

Counts

212 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.8b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	28.4b	(+.f64 1 (.f64 1/6 (.f64 y y)))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	28.0b	(*.f64 (sinh.f64 y) (/.f64 1 y))
✓	28.0b	(*.f64 (sinh.f64 y) (-.f64 (+.f64 (/.f64 1 y) 1) 1))
✓	0.3b	(*.f64 (sinh.f64 y) (-.f64 (+.f64 1 (/.f64 (cos.f64 x) y)) 1))
✓	1.3b	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
✓	28.7b	(*.f64 y (/.f64 1 y))
▶	28.7b	(*.f64 y (-.f64 (+.f64 (/.f64 1 y) 1) 1))
✓	1.7b	(cos.f64 x)
	28.5b	1

Compiler

Compiled 103 to 78 computations (24.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
710×	`add-log-exp_binary64`
710×	`log1p-expm1-u_binary64`
710×	`expm1-log1p-u_binary64`
697×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	7
2	2261	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

945×	`fma-neg_binary64`
860×	`fma-def_binary64`
507×	`div-sub_binary64`
330×	`times-frac_binary64`
229×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	105
1	197	105
2	399	105
3	1298	99
4	4913	99

Stop Event

1×	node limit

Counts

33 → 26

Calls

Call 1

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

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

eval43.0ms (0.8%)

Compiler: Compiled 1651 to 1295 computations (21.6% saved)

prune23.0ms (0.4%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	0	1	1
Picked	0	1	1
Done	0	10	10
Total	121	14	135

Error

Counts

135 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.8b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
	28.7b	(+.f64 (*.f64 (+.f64 1 (/.f64 1 y)) y) (neg.f64 y))
✓	28.4b	(+.f64 1 (.f64 1/6 (.f64 y y)))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	28.0b	(*.f64 (sinh.f64 y) (/.f64 1 y))
✓	28.0b	(*.f64 (sinh.f64 y) (-.f64 (+.f64 (/.f64 1 y) 1) 1))
✓	0.3b	(*.f64 (sinh.f64 y) (-.f64 (+.f64 1 (/.f64 (cos.f64 x) y)) 1))
✓	1.3b	(.f64 (cos.f64 x) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
	47.4b	(.f64 y (/.f64 (.f64 (+.f64 -2 (/.f64 -1 y)) (/.f64 1 y)) (+.f64 -2 (/.f64 -1 y))))
✓	28.7b	(*.f64 y (/.f64 1 y))
✓	28.7b	(*.f64 y (-.f64 (+.f64 (/.f64 1 y) 1) 1))
✓	1.7b	(cos.f64 x)
	28.5b	1

Compiler

Compiled 134 to 102 computations (23.9% saved)

regimes97.0ms (1.8%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

7 calls:

37.0ms	y
31.0ms	(cos.f64 x)
7.0ms	x
7.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Results

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

Compiler

Compiled 155 to 93 computations (40% saved)

regimes32.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

7.0ms	x
7.0ms	y
6.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms	(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 122 to 76 computations (37.7% saved)

regimes43.0ms (0.8%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	(cos.f64 x)
8.0ms	x
6.0ms	y
2.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 105 to 71 computations (32.4% saved)

regimes42.0ms (0.8%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

4 calls:

27.0ms	(cos.f64 x)
6.0ms	x
5.0ms	y
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
1.7b	1	`x`
1.7b	1	`y`
1.7b	1	`(cos.f64 x)`
1.7b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 79 to 55 computations (30.4% saved)

regimes11.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
28.4b	1	`x`
28.4b	1	`y`

Compiler

Compiled 57 to 42 computations (26.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
28.5b	1	`x`
28.5b	1	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify4.0ms (0.1%)

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)

soundness103.0ms (1.9%)

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)

end49.0ms (0.9%)

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

Details

analyze208.0ms (3.9%)

sample3.1s (57%)

preprocess51.0ms (1%)

simplify37.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series14.0ms (0.3%)

rewrite52.0ms (1%)

simplify52.0ms (1%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite46.0ms (0.9%)

simplify48.0ms (0.9%)

eval63.0ms (1.2%)

prune43.0ms (0.8%)

localize14.0ms (0.3%)

series5.0ms (0.1%)

rewrite63.0ms (1.2%)

simplify93.0ms (1.7%)

localize3.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite35.0ms (0.7%)

simplify40.0ms (0.7%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite38.0ms (0.7%)

simplify40.0ms (0.7%)

localize12.0ms (0.2%)

series5.0ms (0.1%)

rewrite55.0ms (1%)

simplify76.0ms (1.4%)

eval172.0ms (3.2%)

prune114.0ms (2.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite40.0ms (0.8%)

simplify6.0ms (0.1%)

localize13.0ms (0.2%)

series3.0ms (0%)

rewrite55.0ms (1%)

simplify51.0ms (0.9%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite34.0ms (0.6%)

simplify38.0ms (0.7%)

eval56.0ms (1.1%)

prune32.0ms (0.6%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite44.0ms (0.8%)

simplify38.0ms (0.7%)

eval43.0ms (0.8%)

prune23.0ms (0.4%)

regimes97.0ms (1.8%)

regimes32.0ms (0.6%)

regimes43.0ms (0.8%)

regimes42.0ms (0.8%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

simplify4.0ms (0.1%)

soundness103.0ms (1.9%)

end49.0ms (0.9%)

Profiling