Details

analyze171.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.6s (46.3%)

Results

971.0ms	2090×	body	1024	valid
873.0ms	5165×	body	256	valid
854.0ms	2017×	body	1024	infinite
325.0ms	1989×	body	256	infinite
302.0ms	1030×	body	512	infinite
288.0ms	994×	body	512	valid
5.0ms	7×	body	2048	valid

Bogosity

preprocess72.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify73.0ms (0.9%)

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

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series15.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

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

rewrite117.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

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

Outputs

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

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

((#(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)))))))

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	954
1	208	944
2	571	894
3	2064	840
4	5992	840

Stop Event

1×	node limit

Counts

122 → 107

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

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

rewrite200.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

Outputs

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

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

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

89 → 85

Calls

Call 1

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

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

eval100.0ms (1.3%)

Compiler: Compiled 2954 to 1347 computations (54.4% saved)

prune71.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	217	5	222
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	218	6	224

Error

Counts

224 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.8b	(*.f64 (sinh.f64 y) (/.f64 1 y))
▶	1.0b	(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
▶	42.9b	(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3)))
▶	1.6b	(cos.f64 x)
▶	0.1b	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Compiler

Compiled 97 to 70 computations (27.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 6 computations (70% saved)

series33.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
789×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
771×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	148	19
2	2051	19

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Rules

591×	`times-frac_binary64`
503×	`associate-/l*_binary64`
483×	`*-commutative_binary64`
418×	`fma-def_binary64`
363×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1168
1	238	1166
2	674	1078
3	2638	997

Stop Event

1×	node limit

Counts

104 → 90

Calls

Call 1

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

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

localize11.0ms (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	(sinh.f64 y)
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 1 y))

Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

39 → 36

Calls

Call 1

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

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

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
✓	0.4b	(*.f64 y 1/6)

Compiler

Compiled 26 to 16 computations (38.5% saved)

series27.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
2.0ms	x	@	inf	(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
1.0ms	y	@	-inf	(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
1.0ms	y	@	inf	(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
1.0ms	y	@	0	(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))

rewrite103.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`pow1_binary64`
709×	`add-log-exp_binary64`
709×	`log1p-expm1-u_binary64`
709×	`expm1-log1p-u_binary64`
694×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	172	17
2	1910	17

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify189.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	484
1	95	436
2	277	412
3	1047	390
4	4034	385
5	5174	385
6	6370	385
7	6615	385
8	6791	385
9	7021	385
10	7687	385

Stop Event

1×	node limit

Counts

62 → 42

Calls

Call 1

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

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

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (cos.f64 x) y)
✓	0.2b	(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3)))
✓	0.2b	(pow.f64 (/.f64 (cos.f64 x) y) 3)
✓	40.3b	(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series55.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(pow.f64 (/.f64 (cos.f64 x) y) 3)
10.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3))
2.0ms	x	@	0	(pow.f64 (/.f64 (cos.f64 x) y) 3)
2.0ms	y	@	-inf	(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3)))
2.0ms	x	@	-inf	(pow.f64 (/.f64 (cos.f64 x) y) 3)

rewrite104.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`log-prod_binary64`
382×	`prod-exp_binary64`
345×	`exp-prod_binary64`
302×	`pow-prod-down_binary64`
245×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	217	26
2	2526	26

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cos.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (cos.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 y (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 x)) (/.f64 y (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (cos.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cos.f64 x) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cos.f64 x) y)))) (sqrt.f64 (log.f64 (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))))) (#(struct:change #<rule 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simplify173.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-*l/_binary64`
495×	`associate-*r/_binary64`
440×	`associate-/r/_binary64`
339×	`associate-/l/_binary64`
267×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1214
1	261	1208
2	783	1188
3	3161	1076
4	7535	1076

Stop Event

1×	node limit

Counts

241 → 205

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (cbrt.f64 -1)) y))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (cbrt.f64 -1)) y))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (cbrt.f64 -1)) y))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (cbrt.f64 -1)) y))
(/.f64 1 (pow.f64 y 3))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (.f64 7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 (pow.f64 y 3))))
(+.f64 (.f64 7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -61/240 (/.f64 (pow.f64 x 6) (pow.f64 y 3))))))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(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 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))

Outputs
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(fma.f64 -1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) y) (/.f64 1 y)) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 -1/2 (*.f64 x (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) y) (/.f64 1 y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (.f64 -1/720 (/.f64 (pow.f64 x 6) y))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))))
(fma.f64 -1/2 (*.f64 x (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))))
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) y)
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (cbrt.f64 -1)) y))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 y (cbrt.f64 -1))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cos.f64 x) y) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (cbrt.f64 -1)) y))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 y (cbrt.f64 -1))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cos.f64 x) y) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (cbrt.f64 -1)) y))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 y (cbrt.f64 -1))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cos.f64 x) y) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (cbrt.f64 -1)) y))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 y (cbrt.f64 -1))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cos.f64 x) y) (neg.f64 (cbrt.f64 -1)))
(/.f64 1 (pow.f64 y 3))
(+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 (pow.f64 y 3)))
(fma.f64 -3/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 (pow.f64 y 3)))
(fma.f64 -3/2 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 1 (pow.f64 y 3)))
(+.f64 (.f64 7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 (pow.f64 y 3))))
(fma.f64 7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 (pow.f64 y 3))))
(fma.f64 7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 1 (pow.f64 y 3))))
(fma.f64 -3/2 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 1 (pow.f64 y 3))))
(+.f64 (.f64 7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -61/240 (/.f64 (pow.f64 x 6) (pow.f64 y 3))))))
(fma.f64 7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 (fma.f64 -3/2 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 1 (pow.f64 y 3))) (.f64 -61/240 (/.f64 (pow.f64 x 6) (pow.f64 y 3)))))
(fma.f64 7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -3/2 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -61/240 (/.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (pow.f64 y 3)))))
(fma.f64 -3/2 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 7/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -61/240 (/.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (pow.f64 y 3)))))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (cos.f64 x) y) 3)
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x))
(fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (+.f64 1 (.f64 y (*.f64 y 1/6))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4)))))
(.f64 (cos.f64 x) (+.f64 (+.f64 1 (.f64 y (.f64 y 1/6))) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x)) (.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 y (.f64 y (cos.f64 x))) (fma.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 y (.f64 y 1/6)) (.f64 1/5040 (pow.f64 y 6))) (*.f64 1/120 (pow.f64 y 4)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(.f64 -1/2 (/.f64 (cos.f64 x) (/.f64 y (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 -1/2 (.f64 (/.f64 (cos.f64 x) y) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/2 (*.f64 (cos.f64 x) (cbrt.f64 -1)))) y)
(.f64 (/.f64 (cos.f64 x) y) (.f64 (*.f64 -1/2 (cbrt.f64 -1)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(.f64 -1/2 (/.f64 (cos.f64 x) (/.f64 y (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 -1/2 (.f64 (/.f64 (cos.f64 x) y) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/2 (*.f64 (cos.f64 x) (cbrt.f64 -1)))) y)
(.f64 (/.f64 (cos.f64 x) y) (.f64 (*.f64 -1/2 (cbrt.f64 -1)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(.f64 -1/2 (/.f64 (cos.f64 x) (/.f64 y (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 -1/2 (.f64 (/.f64 (cos.f64 x) y) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/2 (*.f64 (cos.f64 x) (cbrt.f64 -1)))) y)
(.f64 (/.f64 (cos.f64 x) y) (.f64 (*.f64 -1/2 (cbrt.f64 -1)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(.f64 -1/2 (/.f64 (cos.f64 x) (/.f64 y (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 -1/2 (.f64 (/.f64 (cos.f64 x) y) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/2 (*.f64 (cos.f64 x) (cbrt.f64 -1)))) y)
(.f64 (/.f64 (cos.f64 x) y) (.f64 (*.f64 -1/2 (cbrt.f64 -1)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x))))
(fma.f64 -1/4 (.f64 (.f64 x x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 (*.f64 x x) -1/4)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (*.f64 1/48 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (pow.f64 x 4)))))
(fma.f64 -1/4 (.f64 (.f64 x x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)))
(fma.f64 -1/4 (.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (*.f64 (pow.f64 x 4) 1/48))))
(+.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 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 1/48 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1/4 (.f64 (.f64 x x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/1440 (.f64 (/.f64 (pow.f64 x 6) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))))
(+.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (.f64 (pow.f64 x 4) 1/48))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 (.f64 x x) -1/4) (.f64 (pow.f64 x 6) -1/1440))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))

eval259.0ms (3.3%)

Compiler: Compiled 6547 to 3205 computations (51% saved)

prune197.0ms (2.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	464	7	471
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	468	9	477

Error

Counts

477 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(.f64 (+.f64 1 (.f64 y (*.f64 y 1/6))) (cos.f64 x))
✓	0.1b	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
▶	27.8b	(/.f64 (sinh.f64 y) y)
✓	1.6b	(cos.f64 x)
▶	1.7b	(/.f64 (*.f64 (cos.f64 x) y) y)
▶	28.2b	(fma.f64 1/6 (*.f64 y y) 1)
▶	28.7b	(*.f64 y (/.f64 1 y))
	27.8b	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
	28.6b	1

Compiler

Compiled 116 to 84 computations (27.6% saved)

localize28.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 1 (.f64 y (*.f64 y 1/6))) (cos.f64 x))
✓	0.1b	(.f64 y (.f64 y 1/6))
	0.4b	(*.f64 y 1/6)

Compiler

Compiled 33 to 21 computations (36.4% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`pow1_binary64`
906×	`add-log-exp_binary64`
906×	`log1p-expm1-u_binary64`
906×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	202	20
2	2466	20

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify189.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	520
1	93	472
2	277	448
3	1067	426
4	4044	421
5	5182	421
6	6378	421
7	6623	421
8	6799	421
9	7029	421
10	7705	421

Stop Event

1×	node limit

Counts

70 → 51

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))
(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 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))))

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite118.0ms (1.5%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12
1	4	12

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series7.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

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

rewrite88.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`pow1_binary64`
564×	`add-log-exp_binary64`
564×	`log1p-expm1-u_binary64`
564×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	125	9
2	1773	9

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify160.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1154×	`distribute-rgt-in_binary64`
559×	`fma-def_binary64`
541×	`distribute-rgt-out_binary64`
530×	`sqr-pow_binary64`
476×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	178
1	86	174
2	214	170
3	671	163
4	2530	161
5	4508	161
6	5739	161
7	6154	161
8	6372	161
9	6645	161
10	6982	161
11	7427	161

Stop Event

1×	node limit

Counts

77 → 63

Calls

Call 1

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

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

localize13.0ms (0.2%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

eval72.0ms (0.9%)

Compiler: Compiled 2104 to 1196 computations (43.2% saved)

prune31.0ms (0.4%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	2	0	2
Picked	0	1	1
Done	0	6	6
Total	193	11	204

Error

Counts

204 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	28.6b	1
✓	1.6b	(cos.f64 x)
✓	1.7b	(/.f64 (*.f64 (cos.f64 x) y) y)
▶	1.9b	(-.f64 (+.f64 1 (cos.f64 x)) 1)
▶	27.8b	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
✓	1.0b	(.f64 (+.f64 1 (.f64 y (*.f64 y 1/6))) (cos.f64 x))
✓	0.1b	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
✓	27.8b	(/.f64 (sinh.f64 y) y)
✓	28.2b	(fma.f64 1/6 (*.f64 y y) 1)
▶	1.8b	(.f64 (/.f64 1 y) (.f64 (cos.f64 x) y))
✓	28.7b	(*.f64 y (/.f64 1 y))

Compiler

Compiled 84 to 62 computations (26.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
	0.0b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
✓	0.0b	(pow.f64 (/.f64 (sinh.f64 y) y) 3)

Compiler

Compiled 23 to 10 computations (56.5% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
1.0ms	y	@	-inf	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
1.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
1.0ms	y	@	0	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
0.0ms	y	@	0	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`pow1_binary64`
656×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	158	15
2	1807	15

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(pow.f64 (/.f64 (sinh.f64 y) y) 3)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))

Outputs

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

649×	`associate-l_binary64`
643×	`fma-def_binary64`
546×	`times-frac_binary64`
542×	`associate-r_binary64`
401×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	428
1	120	422
2	340	412
3	1399	384
4	7578	384

Stop Event

1×	node limit

Counts

105 → 100

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 1/2 (pow.f64 y 2))))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 41/3024 (pow.f64 y 6)) (*.f64 1/2 (pow.f64 y 2)))))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))

Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 1/2 (.f64 y y)))
(fma.f64 1/2 (*.f64 y y) 1)
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 1/2 (pow.f64 y 2))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (.f64 1/2 (.f64 y y))))
(fma.f64 13/120 (pow.f64 y 4) (fma.f64 1/2 (*.f64 y y) 1))
(fma.f64 1/2 (*.f64 y y) (fma.f64 13/120 (pow.f64 y 4) 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 13/120) 1/2) 1)
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 41/3024 (pow.f64 y 6)) (*.f64 1/2 (pow.f64 y 2)))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (fma.f64 41/3024 (pow.f64 y 6) (.f64 1/2 (.f64 y y)))))
(+.f64 (fma.f64 41/3024 (pow.f64 y 6) (.f64 1/2 (.f64 y y))) (fma.f64 13/120 (pow.f64 y 4) 1))
(fma.f64 13/120 (pow.f64 y 4) (fma.f64 1/2 (*.f64 y y) (fma.f64 41/3024 (pow.f64 y 6) 1)))
(fma.f64 41/3024 (pow.f64 y 6) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 13/120) 1/2) 1))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (pow.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) 3))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (pow.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) 3))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (pow.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) 3))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (pow.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) 3))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (pow.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) 3))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (pow.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) 3))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (pow.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) 3))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (/.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3) (pow.f64 y 3)))
(*.f64 1/8 (pow.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) 3))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(fma.f64 (*.f64 y y) 1/6 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 1/120)))
(+.f64 (fma.f64 (.f64 y y) 1/6 1) (.f64 (pow.f64 y 4) 1/120))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/120 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/120) 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 1/120))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 1/5040 (fma.f64 (.f64 y y) 1/6 (.f64 (pow.f64 y 4) 1/120))))
(fma.f64 (pow.f64 y 6) 1/5040 (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/120 1)))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 6) 1/5040 (fma.f64 (pow.f64 y 4) 1/120 1)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 -1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cbrt.f64 -1)) y))
(.f64 -1/2 (.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 (cbrt.f64 -1) y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2))
(*.f64 (/.f64 (cbrt.f64 -1) y) (fma.f64 (exp.f64 y) -1/2 (/.f64 1/2 (exp.f64 y))))
(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 -1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cbrt.f64 -1)) y))
(.f64 -1/2 (.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 (cbrt.f64 -1) y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2))
(*.f64 (/.f64 (cbrt.f64 -1) y) (fma.f64 (exp.f64 y) -1/2 (/.f64 1/2 (exp.f64 y))))
(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 -1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cbrt.f64 -1)) y))
(.f64 -1/2 (.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 (cbrt.f64 -1) y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2))
(*.f64 (/.f64 (cbrt.f64 -1) y) (fma.f64 (exp.f64 y) -1/2 (/.f64 1/2 (exp.f64 y))))
(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 -1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cbrt.f64 -1)) y))
(.f64 -1/2 (.f64 (/.f64 (cbrt.f64 -1) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 (cbrt.f64 -1) y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2))
(*.f64 (/.f64 (cbrt.f64 -1) y) (fma.f64 (exp.f64 y) -1/2 (/.f64 1/2 (exp.f64 y))))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`pow1_binary64`
706×	`add-log-exp_binary64`
706×	`log1p-expm1-u_binary64`
706×	`expm1-log1p-u_binary64`
690×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	159	9
2	1946	9

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify166.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1595×	`fma-def_binary64`
726×	`sqr-pow_binary64`
414×	`cube-prod_binary64`
377×	`*-commutative_binary64`
328×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	112
1	49	110
2	108	108
3	326	106
4	1151	106
5	2908	106
6	3493	106
7	3723	106
8	3918	106
9	4169	106
10	4484	106
11	5792	106
12	6229	106
13	6720	106
14	7321	106
15	7575	106
16	7825	106

Stop Event

1×	node limit

Counts

50 → 34

Calls

Call 1

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

Outputs
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/24 (pow.f64 x 4) 1))
(fma.f64 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 x -1/2)) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 x (.f64 x -1/2) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) 1)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 x 5) (*.f64 x -1/2)) (fma.f64 1/24 (pow.f64 x 4) 1))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (+.f64 1 (cos.f64 x)) 1)
✓	0.3b	(+.f64 1 (cos.f64 x))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
608×	`add-log-exp_binary64`
608×	`log1p-expm1-u_binary64`
608×	`expm1-log1p-u_binary64`
598×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	134	9
2	1889	9

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(+.f64 1 (cos.f64 x))
(-.f64 (+.f64 1 (cos.f64 x)) 1)

Outputs

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

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

simplify135.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2102×	`fma-def_binary64`
726×	`sqr-pow_binary64`
377×	`*-commutative_binary64`
328×	`pow-sqr_binary64`
326×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	152
1	59	148
2	137	144
3	421	140
4	1367	140
5	3379	140
6	3964	140
7	4194	140
8	4389	140
9	4640	140
10	4955	140
11	6450	140
12	6887	140
13	7384	140
14	7989	140

Stop Event

1×	node limit

Counts

92 → 87

Calls

Call 1

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

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 2))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/24 -1/2) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 2) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/24 -1/2) (fma.f64 -1/720 (pow.f64 x 6) 2))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 x (*.f64 x (fma.f64 (pow.f64 x 4) -1/720 -1/2)) 2))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x 1/24) (fma.f64 (pow.f64 x 4) -1/720 -1/2))) 2)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/720) 1/24) -1/2)) 2)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (.f64 x x)) 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) 1)
(+.f64 (.f64 1/24 (pow.f64 x 4)) (fma.f64 -1/2 (.f64 x x) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/24 -1/2) 1)
(fma.f64 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 -1/2 x)) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6))) (fma.f64 -1/2 (.f64 x x) 1))
(+.f64 (.f64 -1/720 (pow.f64 x 6)) (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1)))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (fma.f64 -1/2 (*.f64 x x) 1)))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/720 -1/2) 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/24) (fma.f64 (pow.f64 x 4) -1/720 -1/2)) 1)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/720) 1/24) -1/2)) 1)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)

eval77.0ms (1%)

Compiler: Compiled 3447 to 1981 computations (42.5% saved)

prune46.0ms (0.6%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	306	1	307
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	306	12	318

Error

Counts

318 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.8b	(/.f64 (sinh.f64 y) y)
	1.9b	(+.f64 (+.f64 (cos.f64 x) -1) 1)
	28.6b	1
✓	1.6b	(cos.f64 x)
✓	1.7b	(/.f64 (*.f64 (cos.f64 x) y) y)
✓	1.9b	(-.f64 (+.f64 1 (cos.f64 x)) 1)
✓	27.8b	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
✓	1.0b	(.f64 (+.f64 1 (.f64 y (*.f64 y 1/6))) (cos.f64 x))
✓	0.1b	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
✓	28.2b	(fma.f64 1/6 (*.f64 y y) 1)
✓	1.8b	(.f64 (/.f64 1 y) (.f64 (cos.f64 x) y))
✓	28.7b	(*.f64 y (/.f64 1 y))

Compiler

Compiled 92 to 69 computations (25% saved)

regimes45.0ms (0.6%)

Counts

19 → 1

Calls

Call 1

Inputs
1
1
(*.f64 y (/.f64 1 y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(+.f64 (+.f64 (cos.f64 x) -1) 1)
(-.f64 (+.f64 1 (cos.f64 x)) 1)
(/.f64 (*.f64 (cos.f64 x) y) y)
(fma.f64 1/6 (*.f64 y y) 1)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(.f64 (/.f64 1 y) (.f64 (cos.f64 x) y))
(.f64 (+.f64 1 (.f64 y (*.f64 y 1/6))) (cos.f64 x))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cos.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3)))

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

Calls

5 calls:

10.0ms	x
10.0ms	y
10.0ms	(cos.f64 x)
9.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 142 to 73 computations (48.6% saved)

regimes31.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	x
8.0ms	y
6.0ms	(cos.f64 x)
3.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(cos.f64 x)`
0.1b	1	`(/.f64 (sinh.f64 y) y)`
0.1b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 99 to 55 computations (44.4% saved)

regimes29.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`y`
1.0b	1	`(cos.f64 x)`
1.0b	1	`(/.f64 (sinh.f64 y) y)`
1.0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 85 to 51 computations (40% saved)

regimes25.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

4 calls:

7.0ms	y
7.0ms	x
5.0ms	(cos.f64 x)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 69 to 41 computations (40.6% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	23	41

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 37 to 27 computations (27% saved)

soundness0.0ms (0%)

end29.0ms (0.4%)

Compiler: Compiled 29 to 15 computations (48.3% saved)

Details

analyze171.0ms (2.2%)

sample3.6s (46.3%)

preprocess72.0ms (0.9%)

simplify73.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series15.0ms (0.2%)

rewrite117.0ms (1.5%)

simplify69.0ms (0.9%)

localize9.0ms (0.1%)

series6.0ms (0.1%)

rewrite200.0ms (2.5%)

simplify96.0ms (1.2%)

eval100.0ms (1.3%)

prune71.0ms (0.9%)

localize9.0ms (0.1%)

series33.0ms (0.4%)

rewrite73.0ms (0.9%)

simplify81.0ms (1%)

localize11.0ms (0.1%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite65.0ms (0.8%)

simplify57.0ms (0.7%)

localize24.0ms (0.3%)

series27.0ms (0.3%)

rewrite103.0ms (1.3%)

simplify189.0ms (2.4%)

localize29.0ms (0.4%)

series55.0ms (0.7%)

rewrite104.0ms (1.3%)

simplify173.0ms (2.2%)

eval259.0ms (3.3%)

prune197.0ms (2.5%)

localize28.0ms (0.4%)

series8.0ms (0.1%)

rewrite76.0ms (1%)

simplify189.0ms (2.4%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite118.0ms (1.5%)

simplify11.0ms (0.1%)

localize8.0ms (0.1%)

localize13.0ms (0.2%)

series7.0ms (0.1%)

rewrite88.0ms (1.1%)

simplify160.0ms (2%)

localize13.0ms (0.2%)

eval72.0ms (0.9%)

prune31.0ms (0.4%)

localize11.0ms (0.1%)

series4.0ms (0.1%)

rewrite63.0ms (0.8%)

simplify57.0ms (0.7%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite60.0ms (0.8%)

simplify166.0ms (2.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (0.7%)

simplify135.0ms (1.7%)

eval77.0ms (1%)

prune46.0ms (0.6%)

regimes45.0ms (0.6%)

regimes31.0ms (0.4%)

regimes29.0ms (0.4%)

regimes25.0ms (0.3%)

regimes8.0ms (0.1%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end29.0ms (0.4%)

Profiling