Details

analyze222.0ms (4.2%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample2.9s (54.6%)

Results

733.0ms	2059×	body	1024	valid
659.0ms	5122×	body	256	valid
659.0ms	2077×	body	1024	infinite
293.0ms	2066×	body	256	infinite
246.0ms	988×	body	512	infinite
240.0ms	1066×	body	512	valid
7.0ms	9×	body	2048	valid

Bogosity

preprocess55.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	63	22
3	144	22
4	329	22
5	839	22
6	2566	22
7	6744	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 10 computations (56.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series12.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

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

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	154	20
2	2240	20

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

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

Outputs

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

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

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

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-def_binary64`
393×	`log-prod_binary64`
253×	`cube-prod_binary64`
205×	`fma-neg_binary64`
204×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	2381
1	700	1800
2	2940	1614

Stop Event

1×	node limit

Counts

142 → 163

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(-.f64 (+.f64 1 (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)))
(-.f64 (+.f64 1 (/.f64 y (sinh.f64 y))) 1)
(*.f64 y (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 1 (/.f64 y (sinh.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (sinh.f64 y)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(.f64 (/.f64 y (.f64 2 (sinh.f64 y))) 2)
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(-.f64 (+.f64 1 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y) 1)
(.f64 1 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y)) 2) (cbrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 1 y) (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 (cos.f64 x) y) 1) (sinh.f64 y))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) -1)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))

Outputs
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))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/6) (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 y (*.f64 y -1/6) (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 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/4) (/.f64 y (.f64 x x))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))))))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (/.f64 1/48 (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4)))))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6)))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(/.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x))
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(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) y)))
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) y))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (.f64 (/.f64 (cos.f64 x) y) 1) (sinh.f64 y))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 1)
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 3)
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) -1)
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 2))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))
(+.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) -1)
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

eval54.0ms (1%)

Compiler: Compiled 2411 to 1002 computations (58.4% saved)

prune38.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	159	4	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	5	164

Error

Counts

164 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
▶	0b	(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))
▶	0.4b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	0.4b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	0.5b	(cos.f64 x)

Compiler

Compiled 48 to 35 computations (27.1% saved)

localize3.0ms (0.1%)

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 17 computations (48.5% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

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

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

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

863×	`fma-def_binary64`
588×	`fma-neg_binary64`
446×	`distribute-rgt-in_binary64`
416×	`distribute-lft-in_binary64`
345×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	272	2013
1	688	1966
2	1877	1913
3	7518	1911

Stop Event

1×	node limit

Counts

137 → 157

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.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)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`pow1_binary64`
630×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
618×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	145	15
2	1763	15

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

704×	`associate-/l*_binary64`
458×	`fma-neg_binary64`
379×	`associate-l_binary64`
338×	`associate-r_binary64`
273×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	759
1	237	691
2	718	679
3	3773	679

Stop Event

1×	node limit

Counts

68 → 57

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))
✓	0.0b	(expm1.f64 (log1p.f64 (sinh.f64 y)))
✓	0.0b	(/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y))))
	0.0b	(sinh.f64 y)

Compiler

Compiled 30 to 8 computations (73.3% saved)

series3.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y))))
0.0ms	x	@	0	(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))
0.0ms	y	@	-inf	(/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y))))
0.0ms	y	@	inf	(/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y))))
0.0ms	x	@	inf	(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`log-prod_binary64`
384×	`exp-prod_binary64`
288×	`prod-exp_binary64`
250×	`pow-prod-down_binary64`
236×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	175	20
2	2449	20

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs
(/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y))))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))

Outputs

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

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

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

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

417×	`log-prod_binary64`
263×	`cube-prod_binary64`
241×	`sqr-pow_binary64`
217×	`associate-r_binary64`
189×	`swap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	2941
1	1101	2345
2	3999	2345

Stop Event

1×	node limit

Counts

207 → 227

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

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 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)))
(+.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)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (*.f64 2 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 (*.f64 2 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 (*.f64 2 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 (*.f64 2 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 (*.f64 2 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 (*.f64 2 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 (*.f64 2 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 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 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))
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(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 x)) 1) (log.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(exp.f64 (+.f64 (log.f64 (/.f64 (sinh.f64 y) y)) (*.f64 (log.f64 (cos.f64 x)) 1)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 x) y)) (*.f64 (log.f64 (sinh.f64 y)) 1)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

eval186.0ms (3.5%)

Compiler: Compiled 7465 to 3864 computations (48.2% saved)

prune119.0ms (2.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	480	1	481
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	481	5	486

Error

Counts

486 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.6b	(fma.f64 1/6 (*.f64 y y) 1)
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	0b	(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))
✓	0.4b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
✓	0.5b	(cos.f64 x)

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite36.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`pow1_binary64`
444×	`add-sqr-sqrt_binary64`
434×	`*-un-lft-identity_binary64`
423×	`add-log-exp_binary64`
422×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	114	8
2	1186	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

793×	`times-frac_binary64`
598×	`distribute-rgt-in_binary64`
557×	`distribute-lft-in_binary64`
396×	`associate-l_binary64`
318×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	290
1	132	280
2	496	275
3	2841	275

Stop Event

1×	node limit

Counts

33 → 33

Calls

Call 1

Inputs
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 1 (.f64 1/6 (.f64 y y)))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(+.f64 (.f64 (.f64 1/6 (*.f64 y y)) 1) 1)
(-.f64 (+.f64 1 (fma.f64 1/6 (*.f64 y y) 1)) 1)
(.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)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)))
(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 y y) 1)) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 y y)) 3) 1) (+.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) (-.f64 1 (.f64 (.f64 1/6 (.f64 y y)) 1))))
(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (*.f64 y y)) 1))
(pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 1)
(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 (sqrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2)
(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)))
(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))))

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

eval22.0ms (0.4%)

Compiler: Compiled 351 to 225 computations (35.9% saved)

prune8.0ms (0.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	28	5	33
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	29	9	38

Error

Counts

38 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.6b	(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (*.f64 y y)) 1))
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	0b	(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))
✓	0.4b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	28.6b	(+.f64 (.f64 1/6 (.f64 y y)) 1)
▶	61.6b	(.f64 y (.f64 1/6 y))
▶	61.6b	(.f64 1/6 (.f64 y y))
✓	0.5b	(cos.f64 x)
	28.8b	1

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 6 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% 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 1/6 y)
0.0ms	y	@	inf	(.f64 y (.f64 1/6 y))
0.0ms	y	@	0	(.f64 y (.f64 1/6 y))

rewrite39.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`pow1_binary64`
432×	`add-sqr-sqrt_binary64`
423×	`*-un-lft-identity_binary64`
413×	`add-log-exp_binary64`
413×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	101	11
2	1133	11

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

596×	`log-prod_binary64`
457×	`fma-neg_binary64`
314×	`fma-def_binary64`
302×	`unswap-sqr_binary64`
252×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	300
1	162	283
2	609	256
3	2911	256
4	5858	256

Stop Event

1×	node limit

Counts

40 → 36

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 1/6 (.f64 y y)) 1)
✓	0.0b	(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (*.f64 y y)) 1))
✓	0.1b	(.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (*.f64 y y)))
	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 65 to 35 computations (46.2% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (*.f64 y y)))
1.0ms	y	@	inf	(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (*.f64 y y)) 1))
1.0ms	y	@	inf	(.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (*.f64 y y)))
0.0ms	y	@	0	(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (*.f64 y y)) 1))
0.0ms	y	@	-inf	(.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (*.f64 y y)))

rewrite67.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary64`
366×	`fma-def_binary64`
364×	`pow-prod-down_binary64`
346×	`fma-neg_binary64`
263×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	231	23
2	3286	23

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/36 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/36 (pow.f64 y 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/1296 (pow.f64 y 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 1/6)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 y 6)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/46656 (pow.f64 y 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/1296 (pow.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/36 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/46656 (pow.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/36 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/36 (pow.f64 y 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/36 (pow.f64 y 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/36 (pow.f64 y 4) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) 2) (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) -1)))))

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1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/216 (pow.f64 y 6) -1)) -1)))) (#(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 (fma.f64 2 (log.f64 y) (log.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 y y) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(sqrt.f64 1/6)) (*.f64 (*.f64 y (sqrt.f64 1/6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 (pow.f64 y 4) 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 (sqrt.f64 (*.f64 (*.f64 y y) 1/36)) y -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/1296 (pow.f64 y 8)))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4)))) -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)))))

simplify99.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

590×	`unswap-sqr_binary64`
531×	`distribute-rgt-in_binary64`
512×	`distribute-lft-in_binary64`
287×	`times-frac_binary64`
261×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	4294970485
1	840	3101
2	3356	2877

Stop Event

1×	node limit

Counts

210 → 241

Calls

Call 1

Inputs
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
-1
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(*.f64 1/6 (pow.f64 y 2))
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(*.f64 1/6 (pow.f64 y 2))
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(+.f64 0 (*.f64 1/36 (pow.f64 y 4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))
(-.f64 (fma.f64 1/36 (pow.f64 y 4) 1) 1)
(pow.f64 (.f64 1/6 (.f64 y y)) 2)
(pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1)
(pow.f64 (*.f64 1/1296 (pow.f64 y 8)) 1/2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) 6)
(pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 3)
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 4)
(pow.f64 (*.f64 1/216 (pow.f64 y 6)) 2/3)
(pow.f64 (*.f64 1/46656 (pow.f64 y 12)) 1/3)
(sqrt.f64 (*.f64 1/1296 (pow.f64 y 8)))
(log.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/36 (pow.f64 y 4)))))
(cbrt.f64 (*.f64 1/46656 (pow.f64 y 12)))
(expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 y 4))))
(log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 y 4))))
(exp.f64 (log.f64 (*.f64 1/36 (pow.f64 y 4))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 1/6)) 2))
(exp.f64 (.f64 (log.f64 (.f64 1/36 (pow.f64 y 4))) 1))
(fma.f64 1 (fma.f64 1/36 (pow.f64 y 4) 1) -1)
(fma.f64 (fma.f64 1/36 (pow.f64 y 4) 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) 2) (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) -1)
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(+.f64 1 (.f64 1/6 (.f64 y y)))
(+.f64 0 (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 (/.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 1/6 (.f64 y y) -1)) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/6 (.f64 y y) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/6 (.f64 y y) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/6 (.f64 y y) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/6 (.f64 y y) 1)))))
(-.f64 (.f64 1/6 (.f64 y y)) -1)
(-.f64 (/.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 1/6 (.f64 y y) -1)) (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 y y) 1))) 1)
(.f64 1 (fma.f64 1/6 (.f64 y y) 1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 1 (fma.f64 1/6 (.f64 y y) -1)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) 2) (.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)))
(.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (/.f64 1 (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 (neg.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (/.f64 1 (neg.f64 (fma.f64 1/6 (.f64 y y) -1))))
(.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (fma.f64 1/6 (.f64 y y) 1) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) -2) (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1))))
(.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) -1) -1/2) (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) 1) (/.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2)) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1))))
(.f64 (/.f64 (fma.f64 1/6 (.f64 y y) 1) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) 2) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (/.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))))
(.f64 (/.f64 (fma.f64 1/6 (.f64 y y) 1) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1)))
(.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/216 (pow.f64 y 6) -1)) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
(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 1 (fma.f64 1/6 (*.f64 y y) 1)) -1)
(pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 1/36 (pow.f64 y 4) -1) 3) (pow.f64 (fma.f64 1/6 (*.f64 y y) -1) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) 1)) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (neg.f64 (fma.f64 1/6 (*.f64 y y) -1))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/36 (pow.f64 y 4) -1) 3) (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))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 1/6 (/.f64 (.f64 (pow.f64 y 4) 1/6) (fma.f64 1/6 (.f64 y y) -1)) (neg.f64 (/.f64 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 (.f64 1/36 (pow.f64 y 4)) (/.f64 1 (fma.f64 1/6 (.f64 y y) -1)) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 1 (.f64 1/6 (.f64 y y)) 1)
(fma.f64 1 (/.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 1/6 (.f64 y y) -1)) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 1/36 (/.f64 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) -1)) (neg.f64 (/.f64 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 1/36 (pow.f64 y 4))) (.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) 1) 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 y (sqrt.f64 1/6)) (.f64 (*.f64 y (sqrt.f64 1/6)) 1) 1)
(fma.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 (pow.f64 y 4) 1/6)) 1)
(fma.f64 (*.f64 1/6 y) y 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 1/6 (.f64 y y) -1))) 2) (cbrt.f64 (/.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 (sqrt.f64 (.f64 (.f64 y y) 1/36)) y 1)
(fma.f64 (sqrt.f64 (/.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 1/6 (.f64 y y) -1))) (sqrt.f64 (/.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/1296 (pow.f64 y 8)))) (sqrt.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4)))) 1)
(fma.f64 (/.f64 (.f64 1/6 (.f64 y y)) 1) (/.f64 (.f64 1/6 (.f64 y y)) (fma.f64 1/6 (.f64 y y) -1)) (neg.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) -1))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 1/1296 (pow.f64 y 8))) 1) (/.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4))) (fma.f64 1/6 (.f64 y y) -1)) (neg.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) -1))))
(fma.f64 (/.f64 (.f64 (.f64 y y) 1/36) 1) (/.f64 (.f64 y y) (fma.f64 1/6 (.f64 y y) -1)) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2)) (/.f64 (.f64 (pow.f64 y 4) 1/6) (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) -1))))
(fma.f64 (/.f64 (.f64 1/6 (.f64 y y)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2)) (/.f64 (.f64 1/6 (.f64 y y)) (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) -2) (/.f64 (.f64 1/36 (pow.f64 y 4)) (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) -1))))
(fma.f64 (/.f64 1/36 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2)) (/.f64 (pow.f64 y 4) (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 1/1296 (pow.f64 y 8))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2)) (/.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4))) (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 (/.f64 (.f64 (.f64 y y) 1/36) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2)) (/.f64 (.f64 y y) (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) -1))))
(fma.f64 (/.f64 1/6 (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (/.f64 (.f64 (pow.f64 y 4) 1/6) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) -1))))
(fma.f64 (/.f64 (.f64 1/6 (.f64 y y)) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (/.f64 (.f64 1/6 (.f64 y y)) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) -1) -1/2) (/.f64 (.f64 1/36 (pow.f64 y 4)) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) -1))))
(fma.f64 (/.f64 1/36 (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (/.f64 (pow.f64 y 4) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 1/1296 (pow.f64 y 8))) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (/.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4))) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 (/.f64 (.f64 (.f64 y y) 1/36) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (/.f64 (.f64 y y) (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (.f64 y y) -1))))
(fma.f64 (/.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) 1) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 (/.f64 (.f64 1/36 (pow.f64 y 4)) (fma.f64 1/216 (pow.f64 y 6) -1)) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)) (neg.f64 (/.f64 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 (.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)
(+.f64 (.f64 1/6 (.f64 y y)) -1)
(+.f64 0 (fma.f64 1/6 (*.f64 y y) -1))
(+.f64 -1 (.f64 1/6 (.f64 y y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/6 (.f64 y y) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/6 (.f64 y y) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/6 (.f64 y y) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/6 (.f64 y y) -1)))))
(.f64 1 (fma.f64 1/6 (.f64 y y) -1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.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)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)))
(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1)) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1)))
(.f64 (fma.f64 1/216 (pow.f64 y 6) -1) (/.f64 1 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1))))
(*.f64 (fma.f64 y (sqrt.f64 1/6) 1) (fma.f64 y (sqrt.f64 1/6) -1))
(/.f64 1 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (fma.f64 1/36 (pow.f64 y 4) -1)))
(/.f64 1 (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/216 (pow.f64 y 6) -1)))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) 2) (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1))))
(/.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1))))
(/.f64 (neg.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (neg.f64 (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 1/216 (pow.f64 y 6) -1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 1/216 (pow.f64 y 6) -1) (fma.f64 1/36 (pow.f64 y 4) (-.f64 1 (.f64 (.f64 1/6 (*.f64 y y)) -1))))
(/.f64 (fma.f64 1/46656 (pow.f64 y 12) -1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (fma.f64 1/1296 (pow.f64 y 8) (fma.f64 1/36 (pow.f64 y 4) 1))))
(/.f64 (fma.f64 1/6 (.f64 y y) 1) (/.f64 (fma.f64 1/6 (.f64 y y) 1) (fma.f64 1/6 (*.f64 y y) -1)))
(/.f64 (fma.f64 1/1296 (pow.f64 y 8) -1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (fma.f64 1/36 (pow.f64 y 4) 1)))
(/.f64 (neg.f64 (fma.f64 1/216 (pow.f64 y 6) -1)) (neg.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1))))
(pow.f64 (fma.f64 1/6 (*.f64 y y) -1) 1)
(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 (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2)
(pow.f64 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (fma.f64 1/36 (pow.f64 y 4) -1)) -1)
(pow.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/216 (pow.f64 y 6) -1)) -1)
(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 (fma.f64 2 (log.f64 y) (log.f64 1/6)))
(expm1.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 1/6)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 y y) -1)))
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 y y) -1)))
(exp.f64 (.f64 (log.f64 (fma.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 (cbrt.f64 (.f64 1/36 (pow.f64 y 4))) (.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) 1) -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 y (sqrt.f64 1/6)) (.f64 (*.f64 y (sqrt.f64 1/6)) 1) -1)
(fma.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 (pow.f64 y 4) 1/6)) -1)
(fma.f64 (*.f64 1/6 y) y -1)
(fma.f64 (sqrt.f64 (.f64 (.f64 y y) 1/36)) y -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/1296 (pow.f64 y 8)))) (sqrt.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4)))) -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 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
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)
-1
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(+.f64 0 (*.f64 1/36 (pow.f64 y 4)))
(*.f64 1/36 (pow.f64 y 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))
(*.f64 1/36 (pow.f64 y 4))
(-.f64 (fma.f64 1/36 (pow.f64 y 4) 1) 1)
(*.f64 1/36 (pow.f64 y 4))
(pow.f64 (.f64 1/6 (.f64 y y)) 2)
(*.f64 1/36 (pow.f64 y 4))
(pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1)
(*.f64 1/36 (pow.f64 y 4))
(pow.f64 (*.f64 1/1296 (pow.f64 y 8)) 1/2)
(sqrt.f64 (*.f64 1/1296 (pow.f64 y 8)))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) 6)
(*.f64 1/36 (pow.f64 y 4))
(pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 3)
(*.f64 1/36 (pow.f64 y 4))
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 4)
(*.f64 1/36 (pow.f64 y 4))
(pow.f64 (*.f64 1/216 (pow.f64 y 6)) 2/3)
(.f64 (pow.f64 (.f64 1/216 (pow.f64 y 6)) 1/3) (pow.f64 (*.f64 1/216 (pow.f64 y 6)) 1/3))
(.f64 (cbrt.f64 (.f64 1/216 (pow.f64 y 6))) (cbrt.f64 (*.f64 1/216 (pow.f64 y 6))))
(pow.f64 (*.f64 1/46656 (pow.f64 y 12)) 1/3)
(cbrt.f64 (*.f64 1/46656 (pow.f64 y 12)))
(sqrt.f64 (*.f64 1/1296 (pow.f64 y 8)))
(log.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))
(*.f64 1/36 (pow.f64 y 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/36 (pow.f64 y 4)))))
(*.f64 1/36 (pow.f64 y 4))
(cbrt.f64 (*.f64 1/46656 (pow.f64 y 12)))
(expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 y 4))))
(*.f64 1/36 (pow.f64 y 4))
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(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 y y) -1)) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1)))
(fma.f64 1/6 (*.f64 y y) -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) (fma.f64 1/6 (.f64 y y) 1))))
(/.f64 1 (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/216 (pow.f64 y 6) -1)))
(/.f64 (fma.f64 1/216 (pow.f64 y 6) -1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(*.f64 (fma.f64 y (sqrt.f64 1/6) 1) (fma.f64 y (sqrt.f64 1/6) -1))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(/.f64 1 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (fma.f64 1/36 (pow.f64 y 4) -1)))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(/.f64 1 (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/216 (pow.f64 y 6) -1)))
(/.f64 (fma.f64 1/216 (pow.f64 y 6) -1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) 1))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) 2) (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1))))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(/.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1))))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(/.f64 (neg.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (neg.f64 (fma.f64 1/6 (*.f64 y y) 1)))
(fma.f64 1/6 (*.f64 y y) -1)
(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) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 1 (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/216 (pow.f64 y 6) -1)))
(/.f64 (fma.f64 1/216 (pow.f64 y 6) -1) (fma.f64 1/36 (pow.f64 y 4) (-.f64 1 (.f64 (.f64 1/6 (*.f64 y y)) -1))))
(/.f64 1 (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/216 (pow.f64 y 6) -1)))
(/.f64 (fma.f64 1/216 (pow.f64 y 6) -1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 1/46656 (pow.f64 y 12) -1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (fma.f64 1/1296 (pow.f64 y 8) (fma.f64 1/36 (pow.f64 y 4) 1))))
(/.f64 (/.f64 (fma.f64 1/46656 (pow.f64 y 12) -1) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/1296 (pow.f64 y 8) (fma.f64 1/36 (pow.f64 y 4) 1)))
(/.f64 (fma.f64 1/6 (.f64 y y) 1) (/.f64 (fma.f64 1/6 (.f64 y y) 1) (fma.f64 1/6 (*.f64 y y) -1)))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(/.f64 (fma.f64 1/1296 (pow.f64 y 8) -1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (fma.f64 1/36 (pow.f64 y 4) 1)))
(/.f64 (/.f64 (fma.f64 1/1296 (pow.f64 y 8) -1) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/36 (pow.f64 y 4) 1))
(/.f64 (fma.f64 1/1296 (pow.f64 y 8) -1) (.f64 (fma.f64 1/36 (pow.f64 y 4) 1) (fma.f64 1/6 (.f64 y y) 1)))
(/.f64 (neg.f64 (fma.f64 1/216 (pow.f64 y 6) -1)) (neg.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1))))
(/.f64 1 (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/216 (pow.f64 y 6) -1)))
(/.f64 (fma.f64 1/216 (pow.f64 y 6) -1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(pow.f64 (fma.f64 1/6 (*.f64 y y) -1) 1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) -1) 2) 1/2)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) -1) 3) 1/3)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 3)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(pow.f64 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (fma.f64 1/36 (pow.f64 y 4) -1)) -1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(pow.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/216 (pow.f64 y 6) -1)) -1)
(/.f64 1 (/.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 1/216 (pow.f64 y 6) -1)))
(/.f64 (fma.f64 1/216 (pow.f64 y 6) -1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) -1) 2))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 y y) -1)))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 y y) -1))))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) -1) 3))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(expm1.f64 (fma.f64 2 (log.f64 y) (log.f64 1/6)))
(expm1.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 1/6)) 1))
(expm1.f64 (fma.f64 2 (log.f64 y) (log.f64 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 y y) -1)))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 y y) -1)))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(exp.f64 (.f64 (log.f64 (fma.f64 1/6 (.f64 y y) -1)) 1))
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(fma.f64 y (*.f64 1/6 y) -1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(fma.f64 (*.f64 y y) 1/6 -1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(fma.f64 (.f64 1/6 (.f64 y y)) 1 -1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(fma.f64 1 (.f64 1/6 (.f64 y y)) -1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -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 (cbrt.f64 (.f64 1/36 (pow.f64 y 4))) (.f64 (cbrt.f64 (.f64 1/6 (.f64 y y))) 1) -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 y (*.f64 y 1/6) -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 y (*.f64 y 1/6) -1)
(fma.f64 (.f64 y (sqrt.f64 1/6)) (.f64 (*.f64 y (sqrt.f64 1/6)) 1) -1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(fma.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 (pow.f64 y 4) 1/6)) -1)
(fma.f64 (*.f64 1/6 y) y -1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)
(fma.f64 (sqrt.f64 (.f64 (.f64 y y) 1/36)) y -1)
(fma.f64 (sqrt.f64 (.f64 1/36 (.f64 y y))) y -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/1296 (pow.f64 y 8)))) (sqrt.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4)))) -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 y (*.f64 y 1/6) -1)
(fma.f64 (.f64 (.f64 1/6 y) 1) y -1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -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 y (*.f64 y 1/6) -1)
(fma.f64 (.f64 (.f64 1/6 y) (sqrt.f64 y)) (sqrt.f64 y) -1)
(fma.f64 1/6 (*.f64 y y) -1)
(fma.f64 y (*.f64 y 1/6) -1)

eval231.0ms (4.4%)

Compiler: Compiled 11167 to 7621 computations (31.8% saved)

prune105.0ms (2%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	520	2	522
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	520	11	531

Error

Counts

531 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (*.f64 y y)) 1))
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	0b	(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))
✓	0.4b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
	61.9b	(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
✓	28.6b	(+.f64 (.f64 1/6 (.f64 y y)) 1)
	61.9b	(.f64 y (-.f64 (+.f64 1 (.f64 1/6 y)) 1))
✓	61.6b	(.f64 y (.f64 1/6 y))
✓	61.6b	(.f64 1/6 (.f64 y y))
✓	0.5b	(cos.f64 x)
	28.8b	1

Compiler

Compiled 107 to 79 computations (26.2% saved)

regimes36.0ms (0.7%)

Counts

14 → 1

Calls

Call 1

Inputs
1
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 1/6 y))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(.f64 y (-.f64 (+.f64 1 (.f64 1/6 y)) 1))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) 1)
(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (*.f64 y y)) 1))
(cos.f64 x)
(fma.f64 1/6 (*.f64 y y) 1)
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))

Outputs
(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))

Calls

5 calls:

9.0ms	y
8.0ms	(cos.f64 x)
7.0ms	x
6.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0b	1	`(cos.f64 x)`
0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 135 to 78 computations (42.2% saved)

regimes35.0ms (0.7%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
8.0ms	x
7.0ms	y
6.0ms	(cos.f64 x)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 126 to 74 computations (41.3% saved)

regimes31.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 119 to 72 computations (39.5% saved)

regimes22.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	y
6.0ms	(cos.f64 x)

Results

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

Compiler

Compiled 97 to 59 computations (39.2% saved)

regimes18.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

3 calls:

6.0ms	y
5.0ms	x
5.0ms	(cos.f64 x)

Results

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

Compiler

Compiled 77 to 49 computations (36.4% saved)

regimes12.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Error	Segments	Branch
28.6b	1	`x`
28.6b	1	`y`

Compiler

Compiled 65 to 42 computations (35.4% saved)

regimes23.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
5.0ms	y

Results

Error	Segments	Branch
28.6b	1	`x`
28.6b	1	`y`

Compiler

Compiled 44 to 30 computations (31.8% saved)

regimes11.0ms (0.2%)

Accuracy

Total -33.0b remaining (-114.5%)

Threshold costs -33.0b (-114.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

6.0ms	y
3.0ms	x

Results

Error	Segments	Branch
28.8b	1	`x`
28.8b	1	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	97
1	33	97
2	35	97

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(cos.f64 x)
(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (*.f64 y y)) 1))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
1

Outputs
(/.f64 (cos.f64 x) (/.f64 y (expm1.f64 (log1p.f64 (sinh.f64 y)))))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(cos.f64 x)
(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (*.f64 y y)) 1))
(/.f64 (+.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) -1) (+.f64 (.f64 1/6 (*.f64 y y)) -1))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(+.f64 1 (.f64 1/6 (.f64 y y)))
1

Compiler

Compiled 80 to 57 computations (28.8% saved)

soundness101.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 27 to 18 computations (33.3% saved)

end67.0ms (1.3%)

Compiler: Compiled 66 to 35 computations (47% saved)

Details

analyze222.0ms (4.2%)

sample2.9s (54.6%)

preprocess55.0ms (1.1%)

simplify38.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series12.0ms (0.2%)

rewrite54.0ms (1%)

simplify70.0ms (1.3%)

eval54.0ms (1%)

prune38.0ms (0.7%)

localize3.0ms (0.1%)

localize13.0ms (0.2%)

series5.0ms (0.1%)

rewrite57.0ms (1.1%)

simplify74.0ms (1.4%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite58.0ms (1.1%)

simplify46.0ms (0.9%)

localize12.0ms (0.2%)

series3.0ms (0.1%)

rewrite78.0ms (1.5%)

simplify74.0ms (1.4%)

eval186.0ms (3.5%)

prune119.0ms (2.2%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite36.0ms (0.7%)

simplify32.0ms (0.6%)

eval22.0ms (0.4%)

prune8.0ms (0.1%)

localize5.0ms (0.1%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite39.0ms (0.7%)

simplify45.0ms (0.9%)

localize7.0ms (0.1%)

localize27.0ms (0.5%)

series4.0ms (0.1%)

rewrite67.0ms (1.3%)

simplify99.0ms (1.9%)

eval231.0ms (4.4%)

prune105.0ms (2%)

regimes36.0ms (0.7%)

regimes35.0ms (0.7%)

regimes31.0ms (0.6%)

regimes22.0ms (0.4%)

regimes18.0ms (0.3%)

regimes12.0ms (0.2%)

regimes23.0ms (0.4%)

regimes11.0ms (0.2%)

simplify5.0ms (0.1%)

soundness101.0ms (1.9%)

end67.0ms (1.3%)

Profiling