Details

analyze184.0ms (2.9%)

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
6.3%	6.2%	93.7%	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
49.1%	43.7%	45.3%	0.1%	10.9%	0%	0%	9
49.6%	43.7%	44.5%	0.1%	11.7%	0%	0%	10
56.9%	46.8%	35.5%	0.1%	17.6%	0%	0%	11
57.3%	46.8%	34.9%	0.1%	18.1%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.5s (54.4%)

Results

835.0ms	2009×	body	1024	valid
834.0ms	2069×	body	1024	infinite
792.0ms	5221×	body	256	valid
397.0ms	2122×	body	256	infinite
310.0ms	1021×	body	512	valid
257.0ms	1052×	body	512	infinite
5.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess80.0ms (1.3%)

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 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x))

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.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 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.2b	(*.f64 (sinh.f64 y) (/.f64 (sin.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 (sin.f64 x) y)
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series14.0ms (0.2%)

Counts

3 → 40

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
2.0ms	y	@	-inf	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
2.0ms	x	@	-inf	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
2.0ms	y	@	inf	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
1.0ms	y	@	0	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))

rewrite50.0ms (0.8%)

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 (sin.f64 x) y))
(/.f64 (sin.f64 x) y)
(sinh.f64 y)

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

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

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-def_binary64`
598×	`associate-/r/_binary64`
306×	`log-prod_binary64`
197×	`distribute-rgt-in_binary64`
186×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	2097
1	656	1929
2	2811	1313

Stop Event

1×	node limit

Counts

122 → 147

Calls

Call 1

Inputs
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) 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 (sin.f64 x) y))) 1)
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 (.f64 2 (sinh.f64 y)) (.f64 (/.f64 y (sin.f64 x)) 2))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (sin.f64 x)) (*.f64 2 y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 y (sin.f64 x))))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 2 (neg.f64 y)))
(/.f64 (.f64 (sin.f64 x) (.f64 2 (sinh.f64 y))) (*.f64 y 2))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1) y)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) y)) 2)
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 y))
(/.f64 (.f64 (/.f64 (sin.f64 x) y) (.f64 2 (sinh.f64 y))) 2)
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) y)) 1)
(*.f64 (sin.f64 x) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 x) y) 1)
(*.f64 1 (/.f64 (sin.f64 x) y))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2) (cbrt.f64 (/.f64 (sin.f64 x) y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (sqrt.f64 (/.f64 (sin.f64 x) y)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 x) y) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) 2)
(pow.f64 (/.f64 y (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) y)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (sin.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
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 (fma.f64 1/6 (.f64 y y) 1) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/5040 (pow.f64 y 6)))) (.f64 (+.f64 (.f64 1/120 (pow.f64 y 4)) 1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) (.f64 1/5040 (pow.f64 y 6))) (*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) 1)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))
(fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (.f64 1/240 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)))))
(fma.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/12 (.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (/.f64 1/240 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 5)))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (.f64 1/240 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5))))))
(fma.f64 -1/10080 (.f64 (/.f64 (pow.f64 x 7) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/12 (.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (/.f64 1/240 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 5))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (/.f64 x y)))
(fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (fma.f64 -1/5040 (/.f64 (pow.f64 x 7) y) (/.f64 x y))))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/5040 (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 (sin.f64 x) y))) 1)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (.f64 2 (sinh.f64 y)) (.f64 (/.f64 y (sin.f64 x)) 2))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (sin.f64 x)) (*.f64 2 y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 y (sin.f64 x))))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 2 (neg.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (.f64 (sin.f64 x) (.f64 2 (sinh.f64 y))) (*.f64 y 2))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1) y)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (.f64 (.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) y)) 2)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (.f64 (/.f64 (sin.f64 x) y) (.f64 2 (sinh.f64 y))) 2)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3) 1/3)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 3)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) y) 3)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3) (pow.f64 (sinh.f64 y) 3)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) y)) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 (sin.f64 x) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 (/.f64 (sin.f64 x) y) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 1 (/.f64 (sin.f64 x) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2) (cbrt.f64 (/.f64 (sin.f64 x) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (sqrt.f64 (/.f64 (sin.f64 x) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 (/.f64 1 y) (sin.f64 x))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 x) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 x) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 x) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 y)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (sin.f64 x) y) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 3)
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) 2)
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(pow.f64 (/.f64 y (sin.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 x) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) y) 1))
(+.f64 (/.f64 (sin.f64 x) y) 0)
(/.f64 (sin.f64 x) y)
(-.f64 (+.f64 1 (sinh.f64 y)) 1)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 1 (sinh.f64 y))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (sinh.f64 y) 1)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(log.f64 (exp.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-/r/_binary64`
540×	`fma-def_binary64`
534×	`unswap-sqr_binary64`
326×	`associate-/l/_binary64`
273×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	2052
1	624	1533
2	2257	1396

Stop Event

1×	node limit

Counts

109 → 126

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 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.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 (sin.f64 x) (sinh.f64 y)) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y) 1)
(.f64 1 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) y) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) y) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sin.f64 x) y) 1) (sinh.f64 y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
(pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.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))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y)
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))
(fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12) (/.f64 y (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (.f64 (/.f64 -1/12 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (/.f64 (.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (.f64 1/240 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (/.f64 (.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 7)) (fma.f64 1/240 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)) (.f64 (/.f64 1/2 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(fma.f64 1/6 (.f64 (.f64 y y) (sin.f64 x)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (.f64 y y) (sin.f64 x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)) (fma.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)) (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 (.f64 (*.f64 y y) 1/6) (fma.f64 (pow.f64 y 4) 1/120 1)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x)) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 y y) 1/6) (.f64 (pow.f64 y 6) 1/5040))) (fma.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 (.f64 (pow.f64 y 6) 1/5040)) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y 4) 1/120 1)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 y (sinh.f64 y))) 1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 y (/.f64 1 (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 1 (/.f64 y (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 1 (sinh.f64 y)) y)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (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 (cbrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (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 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (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 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(.f64 (/.f64 y (.f64 2 (sinh.f64 y))) 2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 1 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) y) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) y) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) y))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) 1) (sinh.f64 y))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 3)
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 2))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 3))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))

eval128.0ms (2%)

Compiler: Compiled 4677 to 1958 computations (58.1% saved)

prune43.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	307	3	310
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	308	4	312

Error

Counts

312 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.4b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	31.1b	(*.f64 (sinh.f64 y) (/.f64 x y))
▶	0.9b	(sin.f64 x)

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	13.9b	(*.f64 (sinh.f64 y) (/.f64 x y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	129	9
2	1784	9

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

908×	`log-div_binary64`
801×	`times-frac_binary64`
594×	`fma-neg_binary64`
469×	`associate-/l*_binary64`
274×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1014
1	308	1014
2	1178	508
3	6135	508

Stop Event

1×	node limit

Counts

54 → 44

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 17 computations (48.5% saved)

series9.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
1.0ms	x	@	inf	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
1.0ms	y	@	inf	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
1.0ms	x	@	-inf	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
1.0ms	y	@	0	(.f64 -1/6 (.f64 y y))

rewrite63.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	209	28
2	2681	28

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

847×	`fma-def_binary64`
549×	`unswap-sqr_binary64`
342×	`distribute-rgt-in_binary64`
321×	`distribute-lft-in_binary64`
269×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	2819
1	844	2688
2	2710	2651

Stop Event

1×	node limit

Counts

183 → 204

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 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 7) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (+.f64 (.f64 1/216 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 0 (.f64 -1/6 (.f64 y y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y)))))
(-.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(pow.f64 (E.f64) (log.f64 (.f64 -1/6 (.f64 y y))))
(pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1/2)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 -1/216 (pow.f64 y 6)) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -1/6 (.f64 y y)))) 2)) (cbrt.f64 (log.f64 (.f64 -1/6 (.f64 y y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/6 (.f64 y y))))) (sqrt.f64 (log.f64 (.f64 -1/6 (.f64 y y)))))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 -1/6 y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (.f64 y y)))))
(cbrt.f64 (*.f64 -1/216 (pow.f64 y 6)))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(expm1.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/6 (*.f64 y y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 -1/6))) 2))
(exp.f64 (.f64 (log.f64 (.f64 -1/216 (pow.f64 y 6))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 -1/6 (.f64 y y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 -1/6 (.f64 y y))) 3) 1/3))
(fma.f64 1 (fma.f64 -1/6 (*.f64 y y) 1) -1)
(fma.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) -1)
(fma.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y))))) -1)
(fma.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (.f64 1/6 (*.f64 y y)))) -1)
(+.f64 0 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))) 1)
(.f64 (sin.f64 x) (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 1 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)) 1)
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (.f64 y y) 1) (sin.f64 x)) -2)) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (fma.f64 -1/6 (.f64 y y) 1))))
(.f64 (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)) (sin.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) -2) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) -1/2) (/.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 (cbrt.f64 (sin.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 (sin.f64 x) (fma.f64 -1/216 (pow.f64 y 6) 1)) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/36 (pow.f64 y 4)))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 2)
(pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -1/6 (.f64 y y) 1) (sin.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (.f64 y y)))) (/.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 1/6 (*.f64 y y)))))
(.f64 1 (fma.f64 -1/6 (.f64 y y) 1))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) 1)
(.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))
(.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))))))
(.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (.f64 1/6 (.f64 y y)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))) (fma.f64 -1/216 (pow.f64 y 6) 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (+.f64 1 (.f64 1/6 (.f64 y y)))))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 -1/216 (pow.f64 y 6) 1)) (neg.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y))))))
(/.f64 (neg.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4)))) (neg.f64 (+.f64 1 (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(pow.f64 (E.f64) (log1p.f64 (.f64 -1/6 (.f64 y y))))
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))) (fma.f64 -1/216 (pow.f64 y 6) 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 2)) (cbrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))) (sqrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))) 1) 1))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 (.f64 -1/6 (.f64 y y)) 1 1)
(fma.f64 1 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 1)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4))) (cbrt.f64 (.f64 -1/6 (*.f64 y y))) 1)
(fma.f64 (.f64 (cbrt.f64 y) y) (.f64 (pow.f64 (cbrt.f64 y) 2) -1/6) 1)
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 (.f64 -1/6 (.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) 2) 1)
(fma.f64 (.f64 (.f64 -1/6 y) 1) y 1)
(fma.f64 (.f64 (.f64 -1/6 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)
(fma.f64 (.f64 (.f64 -1/6 y) (sqrt.f64 y)) (sqrt.f64 y) 1)

Outputs
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))
(fma.f64 1/120 (/.f64 (pow.f64 x 5) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 7) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))))
(fma.f64 -1/5040 (/.f64 (pow.f64 x 7) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)))))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(+.f64 (sin.f64 x) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (fma.f64 1/36 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (.f64 1/6 (.f64 y y)) (sin.f64 x))))
(.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
(.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1)))
(+.f64 (sin.f64 x) (+.f64 (.f64 1/216 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(+.f64 (sin.f64 x) (fma.f64 1/216 (.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 1/36 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))))
(+.f64 (.f64 (sin.f64 x) (.f64 1/216 (pow.f64 y 6))) (.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1))))
(.f64 (sin.f64 x) (+.f64 (.f64 1/216 (pow.f64 y 6)) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1))))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)))
(*.f64 (/.f64 -6 y) (/.f64 (sin.f64 x) y))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y y))))
(fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))))
(.f64 (/.f64 (sin.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)))))
(fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (sin.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (/.f64 (.f64 -1296 (sin.f64 x)) (pow.f64 y 8)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(+.f64 (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 (/.f64 -6 y) (/.f64 (sin.f64 x) y))) (.f64 (/.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (/.f64 -1296 (pow.f64 y 4)) -36)))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)))
(*.f64 (/.f64 -6 y) (/.f64 (sin.f64 x) y))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y y))))
(fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))))
(.f64 (/.f64 (sin.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)))))
(fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (sin.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (/.f64 (.f64 -1296 (sin.f64 x)) (pow.f64 y 8)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(+.f64 (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 (/.f64 -6 y) (/.f64 (sin.f64 x) y))) (.f64 (/.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (/.f64 -1296 (pow.f64 y 4)) -36)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 0 (.f64 -1/6 (.f64 y y)))
(.f64 -1/6 (.f64 y y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 -1/6 y)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y)))))
(.f64 -1/6 (.f64 y y))
(-.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(.f64 -1/6 (.f64 y y))
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(.f64 -1/6 (.f64 y y))
(pow.f64 (E.f64) (log.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1/2)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(.f64 -1/6 (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(.f64 -1/6 (.f64 y y))
(pow.f64 (*.f64 -1/216 (pow.f64 y 6)) 1/3)
(.f64 -1/6 (.f64 y y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -1/6 (.f64 y y)))) 2)) (cbrt.f64 (log.f64 (.f64 -1/6 (.f64 y y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/6 (.f64 y y))))) (sqrt.f64 (log.f64 (.f64 -1/6 (.f64 y y)))))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 -1/6 y)))
(.f64 -1/6 (.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (.f64 y y)))))
(.f64 -1/6 (.f64 y y))
(cbrt.f64 (*.f64 -1/216 (pow.f64 y 6)))
(.f64 -1/6 (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(expm1.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(.f64 -1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (*.f64 y y))) 1))
(.f64 -1/6 (.f64 y y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/6 (*.f64 y y)))) 3))
(.f64 -1/6 (.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 -1/6))) 2))
(.f64 -1/6 (.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 -1/216 (pow.f64 y 6))) 1/3))
(.f64 -1/6 (.f64 y y))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 -1/6 (.f64 y y))) 1) 1))
(.f64 -1/6 (.f64 y y))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 -1/6 (.f64 y y))) 3) 1/3))
(.f64 -1/6 (.f64 y y))
(fma.f64 1 (fma.f64 -1/6 (*.f64 y y) 1) -1)
(.f64 -1/6 (.f64 y y))
(fma.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1 -1)
(.f64 -1/6 (.f64 y y))
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) -1)
(fma.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) -1)
(+.f64 (pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2) -1)
(+.f64 -1 (pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2))
(fma.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y))))) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1))))
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1))))
(fma.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (.f64 1/6 (*.f64 y y)))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1)))
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1)))
(+.f64 0 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))) 1)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (sin.f64 x) (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 1 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)) 1)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (.f64 y y) 1) (sin.f64 x)) -2)) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (fma.f64 -1/6 (.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)) (sin.f64 x))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 -1/6 (.f64 y y) 1)))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 -1/6 (.f64 y y) 1)))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) -2) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)))
(.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) -1/2) (/.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 (cbrt.f64 (sin.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(/.f64 (/.f64 (sin.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))))
(.f64 (/.f64 (sin.f64 x) (fma.f64 -1/216 (pow.f64 y 6) 1)) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))) (/.f64 (sin.f64 x) (fma.f64 -1/216 (pow.f64 y 6) 1)))
(.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)) (/.f64 (sin.f64 x) (fma.f64 (pow.f64 y 6) -1/216 1)))
(.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1)) (/.f64 (sin.f64 x) (fma.f64 (pow.f64 y 6) -1/216 1)))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/36 (pow.f64 y 4)))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(/.f64 (.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (.f64 y y)))) (-.f64 1 (.f64 1/36 (pow.f64 y 4))))
(/.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))
(/.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)) (fma.f64 (pow.f64 y 4) -1/36 1))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (E.f64) (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2) 1/2)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 3) 1/3)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 3)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 2)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -1)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3)) 1/3)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) 1) -1)
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 3))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3)))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) 1))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)) 3)) 1/3))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 3))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 2))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -1/6 (.f64 y y) 1) (sin.f64 x))) -1))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 1) 1))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1))) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (.f64 y y)))) (/.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 1/6 (*.f64 y y)))))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1 (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) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2)))
(.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))))))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (.f64 1/6 (.f64 y y)))))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))) (fma.f64 -1/216 (pow.f64 y 6) 1)))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (+.f64 1 (.f64 1/6 (.f64 y y)))))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (neg.f64 (fma.f64 -1/216 (pow.f64 y 6) 1)) (neg.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y))))))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 (neg.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4)))) (neg.f64 (+.f64 1 (.f64 1/6 (*.f64 y y)))))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (E.f64) (log1p.f64 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2) 1/2)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))) (fma.f64 -1/216 (pow.f64 y 6) 1)) -1)
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(pow.f64 (/.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))) -1)
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 2)) (cbrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))) (sqrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))
(fma.f64 -1/6 (*.f64 y y) 1)
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(fma.f64 -1/6 (*.f64 y y) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))
(fma.f64 -1/6 (*.f64 y y) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 1/3))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 3))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) 2))
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))) 1) 1))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 -1/6 (.f64 y y)) 1 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 1 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 1)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4))) (cbrt.f64 (.f64 -1/6 (*.f64 y y))) 1)
(fma.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 1)
(fma.f64 (.f64 (cbrt.f64 y) y) (.f64 (pow.f64 (cbrt.f64 y) 2) -1/6) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 -1/6 (.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) 2) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 (.f64 -1/6 y) 1) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 (.f64 -1/6 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 (.f64 -1/6 y) (sqrt.f64 y)) (sqrt.f64 y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)

eval107.0ms (1.7%)

Compiler: Compiled 4304 to 2576 computations (40.1% saved)

prune43.0ms (0.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	281	4	285
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	281	8	289

Error

Counts

289 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.8b	(fma.f64 (.f64 (.f64 1/6 y) y) x x)
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.4b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	30.7b	(/.f64 x (/.f64 y (sinh.f64 y)))
✓	31.1b	(*.f64 (sinh.f64 y) (/.f64 x y))
▶	31.6b	(*.f64 y (/.f64 x y))
✓	0.9b	(sin.f64 x)
	31.2b	x

Compiler

Compiled 61 to 40 computations (34.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.9b	(*.f64 y (/.f64 x y))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`pow1_binary64`
549×	`add-log-exp_binary64`
549×	`log1p-expm1-u_binary64`
549×	`expm1-log1p-u_binary64`
536×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1457	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

756×	`log-prod_binary64`
436×	`associate-l_binary64`
392×	`associate-r_binary64`
388×	`log-div_binary64`
324×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	44
1	133	44
2	513	44
3	4433	44

Stop Event

1×	node limit

Counts

44 → 21

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`pow1_binary64`
770×	`add-log-exp_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
752×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	135	9
2	2016	9

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

782×	`log-div_binary64`
565×	`associate-*l/_binary64`
502×	`associate-/l*_binary64`
438×	`associate-*r/_binary64`
378×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1262
1	366	1250
2	1238	684
3	7031	684

Stop Event

1×	node limit

Counts

65 → 63

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 1/6 y) y)
✓	0.4b	(*.f64 1/6 y)

Compiler

Compiled 21 to 12 computations (42.9% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite40.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`pow1_binary64`
434×	`add-sqr-sqrt_binary64`
425×	`*-un-lft-identity_binary64`
415×	`add-log-exp_binary64`
415×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	101	11
2	1141	11

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

716×	`associate-l_binary64`
600×	`associate-r_binary64`
495×	`fma-def_binary64`
386×	`associate-+l+_binary64`
336×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	271
1	138	238
2	539	205
3	4155	205

Stop Event

1×	node limit

Counts

34 → 27

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

eval53.0ms (0.8%)

Compiler: Compiled 2181 to 1017 computations (53.4% saved)

prune33.0ms (0.5%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	191	5	196
Fresh	0	1	1
Picked	1	0	1
Done	1	5	6
Total	193	11	204

Error

Counts

204 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.5b	(/.f64 (*.f64 y x) y)
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.4b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	31.5b	(/.f64 y (/.f64 y x))
▶	30.8b	(/.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	44.5b	(/.f64 1 (/.f64 y (*.f64 y x)))
▶	60.8b	(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
✓	31.1b	(*.f64 (sinh.f64 y) (/.f64 x y))
✓	31.6b	(*.f64 y (/.f64 x y))
✓	0.9b	(sin.f64 x)
	31.2b	x

Compiler

Compiled 133 to 89 computations (33.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 16 computations (46.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`pow1_binary64`
897×	`add-log-exp_binary64`
896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	190	11
2	2458	11

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

381×	`log-prod_binary64`
379×	`log-div_binary64`
358×	`fma-def_binary64`
342×	`times-frac_binary64`
314×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	862
1	367	849
2	1151	833
3	5080	833

Stop Event

1×	node limit

Counts

58 → 77

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
x
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(*.f64 -6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 -6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (*.f64 -216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(*.f64 -6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 -6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (*.f64 -216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 1)
(.f64 x (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 1 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)) 1)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1))) (sqrt.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 -1/6 (.f64 y y) 1))))
(.f64 (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (/.f64 1 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216))) (-.f64 (+.f64 1 (.f64 (pow.f64 y 4) 1/36)) (.f64 -1/6 (.f64 y y))))
(.f64 (/.f64 x (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(pow.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 2)
(pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))

Outputs
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
x
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 1/6 (.f64 x (.f64 y y)) x)
(fma.f64 x (.f64 1/6 (.f64 y y)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 1/36 (*.f64 x (pow.f64 y 4)) x))
(.f64 x (-.f64 (fma.f64 1/36 (pow.f64 y 4) 1) (.f64 -1/6 (*.f64 y y))))
(.f64 x (fma.f64 y (.f64 y 1/6) (fma.f64 1/36 (pow.f64 y 4) 1)))
(fma.f64 x (.f64 (.f64 y y) (fma.f64 1/36 (*.f64 y y) 1/6)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 1/216 (.f64 x (pow.f64 y 6)) (fma.f64 1/36 (.f64 x (pow.f64 y 4)) x)))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 1/216 (.f64 x (pow.f64 y 6)) (.f64 (fma.f64 1/36 (pow.f64 y 4) 1) x)))
(.f64 x (+.f64 (.f64 1/216 (pow.f64 y 6)) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/36 (pow.f64 y 4) 1))))
(*.f64 -6 (/.f64 x (pow.f64 y 2)))
(/.f64 (.f64 -6 x) (.f64 y y))
(.f64 -6 (/.f64 x (.f64 y y)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 -6 (/.f64 x (pow.f64 y 2))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (/.f64 (.f64 -6 x) (.f64 y y)))
(fma.f64 -6 (/.f64 x (.f64 y y)) (.f64 -36 (/.f64 x (pow.f64 y 4))))
(.f64 (/.f64 x (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))
(.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 -36 (*.f64 y y)) -6))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (*.f64 -216 (/.f64 x (pow.f64 y 6)))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 -6 (/.f64 x (.f64 y y)) (/.f64 (.f64 -216 x) (pow.f64 y 6))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 -6 (/.f64 x (*.f64 y y)) (/.f64 -216 (/.f64 (pow.f64 y 6) x))))
(fma.f64 -6 (/.f64 x (.f64 y y)) (.f64 (/.f64 x (pow.f64 y 4)) (+.f64 -36 (/.f64 -216 (*.f64 y y)))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (.f64 (/.f64 x (.f64 y y)) (+.f64 -6 (/.f64 -216 (pow.f64 y 4)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -216 (/.f64 x (pow.f64 y 6)) (/.f64 (.f64 -1296 x) (pow.f64 y 8)))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -216 (/.f64 x (pow.f64 y 6)) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 -1296 (/.f64 x (pow.f64 y 8)) (.f64 (/.f64 x (.f64 y y)) (+.f64 -6 (/.f64 -216 (pow.f64 y 4))))))
(*.f64 -6 (/.f64 x (pow.f64 y 2)))
(/.f64 (.f64 -6 x) (.f64 y y))
(.f64 -6 (/.f64 x (.f64 y y)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 -6 (/.f64 x (pow.f64 y 2))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (/.f64 (.f64 -6 x) (.f64 y y)))
(fma.f64 -6 (/.f64 x (.f64 y y)) (.f64 -36 (/.f64 x (pow.f64 y 4))))
(.f64 (/.f64 x (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))
(.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 -36 (*.f64 y y)) -6))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (*.f64 -216 (/.f64 x (pow.f64 y 6)))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 -6 (/.f64 x (.f64 y y)) (/.f64 (.f64 -216 x) (pow.f64 y 6))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 -6 (/.f64 x (*.f64 y y)) (/.f64 -216 (/.f64 (pow.f64 y 6) x))))
(fma.f64 -6 (/.f64 x (.f64 y y)) (.f64 (/.f64 x (pow.f64 y 4)) (+.f64 -36 (/.f64 -216 (*.f64 y y)))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (.f64 (/.f64 x (.f64 y y)) (+.f64 -6 (/.f64 -216 (pow.f64 y 4)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -216 (/.f64 x (pow.f64 y 6)) (/.f64 (.f64 -1296 x) (pow.f64 y 8)))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -216 (/.f64 x (pow.f64 y 6)) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 -1296 (/.f64 x (pow.f64 y 8)) (.f64 (/.f64 x (.f64 y y)) (+.f64 -6 (/.f64 -216 (pow.f64 y 4))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 1)
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 x (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 1 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)) 1)
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 2)))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1))) (sqrt.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 -1/6 (.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)) x)
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/6 (.f64 y y) 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (/.f64 1 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(/.f64 (/.f64 x (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))))
(/.f64 x (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 1 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(/.f64 (/.f64 x (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))))
(/.f64 x (.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216))) (-.f64 (+.f64 1 (.f64 (pow.f64 y 4) 1/36)) (.f64 -1/6 (.f64 y y))))
(.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 6) -1/216))) (+.f64 1 (-.f64 (.f64 1/36 (pow.f64 y 4)) (.f64 -1/6 (*.f64 y y)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 y 6) -1/216 1)) (-.f64 (fma.f64 1/36 (pow.f64 y 4) 1) (.f64 -1/6 (*.f64 y y))))
(.f64 (/.f64 x (fma.f64 (pow.f64 y 6) -1/216 1)) (fma.f64 y (.f64 y 1/6) (fma.f64 1/36 (pow.f64 y 4) 1)))
(/.f64 (fma.f64 x (.f64 (.f64 y y) (fma.f64 1/36 (*.f64 y y) 1/6)) x) (fma.f64 (pow.f64 y 6) -1/216 1))
(.f64 (/.f64 x (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(/.f64 (.f64 x (+.f64 1 (.f64 (.f64 1/6 y) y))) (-.f64 1 (.f64 1/36 (pow.f64 y 4))))
(.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 (fma.f64 1/6 (.f64 x (.f64 y y)) x) (fma.f64 (pow.f64 y 4) -1/36 1))
(/.f64 (fma.f64 x (.f64 1/6 (.f64 y y)) x) (fma.f64 (pow.f64 y 4) -1/36 1))
(pow.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 3) 1/3)
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 3)
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 2)
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) x) -1)
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 2))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(log.f64 (exp.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 3))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3)))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (log.f64 (/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.6b	(/.f64 y (/.f64 y x))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`pow1_binary64`
524×	`add-log-exp_binary64`
524×	`log1p-expm1-u_binary64`
524×	`expm1-log1p-u_binary64`
511×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	1
2	1706	1

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

603×	`log-div_binary64`
533×	`cube-div_binary64`
414×	`log-prod_binary64`
400×	`associate-/l*_binary64`
393×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	162
1	221	150
2	911	150
3	5316	134

Stop Event

1×	node limit

Counts

59 → 43

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.4b	(/.f64 (*.f64 y x) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`pow1_binary64`
577×	`add-log-exp_binary64`
577×	`log1p-expm1-u_binary64`
577×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1513	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

562×	`associate-/l*_binary64`
552×	`times-frac_binary64`
496×	`log-div_binary64`
444×	`log-prod_binary64`
374×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	204
1	271	201
2	940	201
3	6176	181

Stop Event

1×	node limit

Counts

64 → 46

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 y (*.f64 y x)))
✓	13.5b	(/.f64 y (*.f64 y x))

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`pow1_binary64`
620×	`add-log-exp_binary64`
620×	`log1p-expm1-u_binary64`
620×	`expm1-log1p-u_binary64`
605×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	147	5
2	2037	5

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg_binary64`
552×	`log-div_binary64`
333×	`fma-def_binary64`
274×	`times-frac_binary64`
231×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	182	333
1	472	330
2	2603	330
3	6788	330

Stop Event

1×	node limit

Counts

127 → 85

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.3b	(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
	13.9b	(*.f64 y (/.f64 x y))

Compiler

Compiled 29 to 11 computations (62.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`pow1_binary64`
909×	`add-log-exp_binary64`
909×	`log1p-expm1-u_binary64`
909×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	182	7
2	2685	7

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def_binary64`
479×	`associate-/r*_binary64`
448×	`associate-/l/_binary64`
408×	`distribute-rgt-in_binary64`
385×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	490
1	369	329
2	1276	303

Stop Event

1×	node limit

Counts

86 → 73

Calls

Call 1

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

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

eval136.0ms (2.1%)

Compiler: Compiled 5491 to 3095 computations (43.6% saved)

prune131.0ms (2.1%)

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	435	14	449
Fresh	0	1	1
Picked	1	0	1
Done	0	9	9
Total	436	24	460

Error

Counts

460 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	60.8b	(/.f64 (-.f64 1 (*.f64 (+.f64 -1 x) (+.f64 -1 x))) (-.f64 1 (+.f64 -1 x)))
	31.5b	(/.f64 (+.f64 (*.f64 x (-.f64 1 x)) x) (-.f64 2 x))
✓	44.5b	(/.f64 (*.f64 y x) y)
	63.4b	(/.f64 (.f64 -6 x) (.f64 y y))
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.4b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
✓	31.5b	(/.f64 y (/.f64 y x))
✓	30.8b	(/.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y))))
✓	44.5b	(/.f64 1 (/.f64 y (*.f64 y x)))
	31.2b	(/.f64 1 (/.f64 1 x))
	32.1b	(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))
	45.6b	(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
	31.6b	(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
	60.4b	(-.f64 (+.f64 1 x) 1)
	44.6b	(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
	44.5b	(.f64 (/.f64 1 y) (.f64 y x))
	31.2b	(.f64 (.f64 (/.f64 1 y) y) x)
	31.7b	(.f64 (.f64 (/.f64 1 y) x) y)
✓	31.1b	(*.f64 (sinh.f64 y) (/.f64 x y))
✓	31.6b	(*.f64 y (/.f64 x y))
	31.7b	(*.f64 y (/.f64 1 (/.f64 y x)))
	63.4b	(.f64 -6 (/.f64 x (.f64 y y)))
✓	0.9b	(sin.f64 x)
	31.2b	x

Compiler

Compiled 219 to 156 computations (28.8% saved)

regimes104.0ms (1.6%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

6 calls:

38.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
26.0ms	x
14.0ms	(sin.f64 x)
13.0ms	y
4.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 241 to 132 computations (45.2% saved)

regimes129.0ms (2%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	x
17.0ms	y
15.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
13.0ms	(sin.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 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
0.0b	1	`(sin.f64 x)`
0.0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 228 to 127 computations (44.3% saved)

regimes47.0ms (0.7%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(sin.f64 x)
14.0ms	x
13.0ms	y

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(sin.f64 x)`

Compiler

Compiled 199 to 113 computations (43.2% saved)

regimes59.0ms (0.9%)

Counts

25 → 1

Calls

Call 1

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

Outputs
(sin.f64 x)

Calls

3 calls:

29.0ms	(sin.f64 x)
12.0ms	x
12.0ms	y

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`y`
0.9b	1	`(sin.f64 x)`

Compiler

Compiled 189 to 108 computations (42.9% saved)

regimes28.0ms (0.4%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	y
11.0ms	x

Results

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

Compiler

Compiled 163 to 96 computations (41.1% saved)

regimes47.0ms (0.7%)

Accuracy

Total -32.4b remaining (-104.1%)

Threshold costs -32.4b (-104.1%)

Counts

18 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

10.0ms	y
9.0ms	x

Results

Error	Segments	Branch
31.2b	1	`x`
31.2b	1	`y`

Compiler

Compiled 128 to 72 computations (43.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	21	54

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

soundness86.0ms (1.4%)

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)

end34.0ms (0.5%)

Compiler: Compiled 38 to 19 computations (50% saved)

Details

analyze184.0ms (2.9%)

sample3.5s (54.4%)

preprocess80.0ms (1.3%)

simplify37.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series14.0ms (0.2%)

rewrite50.0ms (0.8%)

simplify76.0ms (1.2%)

localize22.0ms (0.4%)

series5.0ms (0.1%)

rewrite51.0ms (0.8%)

simplify95.0ms (1.5%)

eval128.0ms (2%)

prune43.0ms (0.7%)

localize3.0ms (0%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite73.0ms (1.1%)

simplify61.0ms (1%)

localize14.0ms (0.2%)

series9.0ms (0.1%)

rewrite63.0ms (1%)

simplify71.0ms (1.1%)

eval107.0ms (1.7%)

prune43.0ms (0.7%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite40.0ms (0.6%)

simplify32.0ms (0.5%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite45.0ms (0.7%)

simplify55.0ms (0.9%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite40.0ms (0.6%)

simplify35.0ms (0.6%)

eval53.0ms (0.8%)

prune33.0ms (0.5%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite50.0ms (0.8%)

simplify46.0ms (0.7%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite53.0ms (0.8%)

simplify40.0ms (0.6%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite44.0ms (0.7%)

simplify37.0ms (0.6%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite46.0ms (0.7%)

simplify50.0ms (0.8%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite45.0ms (0.7%)

simplify33.0ms (0.5%)

eval136.0ms (2.1%)

prune131.0ms (2.1%)

regimes104.0ms (1.6%)

regimes129.0ms (2%)

regimes47.0ms (0.7%)

regimes59.0ms (0.9%)

regimes28.0ms (0.4%)

regimes47.0ms (0.7%)

simplify4.0ms (0.1%)

soundness86.0ms (1.4%)

end34.0ms (0.5%)

Profiling