Details

analyze179.0ms (2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	62.4%	0.1%	7
37.5%	62.4%	0.1%	8
43.7%	43.7%	12.6%	9
43.7%	43.7%	12.6%	10
46.8%	34.3%	18.8%	11
46.8%	34.3%	18.8%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.9s (43.8%)

Results

980.0ms	2101×	body	1024	invalid
898.0ms	2037×	body	1024	valid
816.0ms	5198×	body	256	valid
516.0ms	1017×	body	512	valid
339.0ms	1010×	body	512	invalid
323.0ms	2014×	body	256	invalid
7.0ms	4×	body	2048	valid

preprocess72.0ms (0.8%)

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)

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 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
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
1	88	9
2	1227	9

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

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

Outputs

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

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

632×	`times-frac_binary64`
511×	`unswap-sqr_binary64`
482×	`fma-def_binary64`
476×	`distribute-lft-out_binary64`
403×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	336
1	101	328
2	250	308
3	747	308
4	2705	308
5	5325	308

Stop Event

1×	node limit

Counts

75 → 69

Calls

Call 1

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.2b	(/.f64 (cos.f64 x) y)
✓	0.3b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series11.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

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

rewrite63.0ms (0.7%)

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)))))))

simplify72.0ms (0.8%)

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))))

eval48.0ms (0.5%)

Compiler: Compiled 2389 to 1092 computations (54.3% saved)

prune29.0ms (0.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	179	5	184
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	179	7	186

Error

Counts

186 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.1b	(*.f64 (sinh.f64 y) (/.f64 1 y))
▶	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))
▶	1.4b	(cos.f64 x)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	35.2b	(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) 2) (/.f64 (cos.f64 x) y))
▶	0.2b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

Compiler

Compiled 110 to 80 computations (27.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
389×	`exp-prod_binary64`
350×	`prod-exp_binary64`
288×	`pow-prod-down_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	189	30
2	2536	30

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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

simplify186.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

634×	`fma-def_binary64`
599×	`times-frac_binary64`
596×	`cancel-sign-sub-inv_binary64`
486×	`fma-neg_binary64`
332×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1841
1	369	1813
2	1107	1662
3	4521	1656

Stop Event

1×	node limit

Counts

249 → 228

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 (cos.f64 x))
(+.f64 (/.f64 1 (cos.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (cos.f64 x))))
(+.f64 (/.f64 1 (cos.f64 x)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) (cos.f64 x))) (.f64 7/360 (/.f64 (pow.f64 y 4) (cos.f64 x)))))
(+.f64 (/.f64 1 (cos.f64 x)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) (cos.f64 x))) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) (cos.f64 x))) (*.f64 7/360 (/.f64 (pow.f64 y 4) (cos.f64 x))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 4)))))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/24 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/2 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))) (pow.f64 x 6))) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 4))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 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))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (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 (*.f64 1/5040 (cos.f64 x)) (pow.f64 y 6))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (fma.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (.f64 (+.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)))))
(fma.f64 (cos.f64 x) (.f64 1/6 (.f64 y y)) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) 1))))
(.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)
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(-.f64 (fma.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)))) (.f64 (pow.f64 x 4) (/.f64 (*.f64 y -5/12) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(fma.f64 (pow.f64 x 4) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 5/12) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 2 (*.f64 x x))))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/24 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/2 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))) (pow.f64 x 6))) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 4))))))
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(+.f64 (/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x))) (fma.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (neg.f64 (fma.f64 (pow.f64 x 6) (+.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -5/24) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 7/180)) (.f64 (pow.f64 x 4) (/.f64 (*.f64 y -5/12) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))))
(-.f64 (fma.f64 (pow.f64 x 4) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 5/12) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 2 (.f64 x x)))) (.f64 (pow.f64 x 6) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -61/360)))
(fma.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 x x) (fma.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 2 (.f64 (pow.f64 x 4) 5/12)) (.f64 (pow.f64 x 6) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 61/360))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (cos.f64 x)))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (cos.f64 x)))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (cos.f64 x)))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (cos.f64 x)))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (cos.f64 x)))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (cos.f64 x)))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (cos.f64 x)))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (cos.f64 x)))
(*.f64 (cos.f64 x) y)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3))) (*.f64 (cos.f64 x) y))
(fma.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3)) (.f64 (cos.f64 x) y))
(fma.f64 (cos.f64 x) y (.f64 (cos.f64 x) (.f64 (pow.f64 y 3) 1/6)))
(.f64 (cos.f64 x) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.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)))))
(fma.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3)) (fma.f64 (cos.f64 x) y (.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 5)))))
(fma.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3)) (fma.f64 (cos.f64 x) y (.f64 (cos.f64 x) (*.f64 (pow.f64 y 5) 1/120))))
(fma.f64 (cos.f64 x) y (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))))
(+.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))))))
(fma.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3)) (fma.f64 (cos.f64 x) y (fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 5)) (.f64 (.f64 1/5040 (cos.f64 x)) (pow.f64 y 7)))))
(fma.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3)) (fma.f64 (cos.f64 x) y (fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 5)) (.f64 (cos.f64 x) (.f64 (pow.f64 y 7) 1/5040)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 y (.f64 1/6 (pow.f64 y 3)))) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7)))))
(.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (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 (.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)))))
(fma.f64 -1/4 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/4)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 x (*.f64 x -1/4))))
(+.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 1/48 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.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 1/48 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))
(fma.f64 -1/4 (.f64 x (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (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 -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 x (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (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 1/2 (.f64 x (.f64 x -1/4)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))

localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

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)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.6%)

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)))))))

simplify46.0ms (0.5%)

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)

localize152.0ms (1.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.2b	(*.f64 (/.f64 1 y) (cos.f64 x))
✓	0.3b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`pow1_binary64`
824×	`add-log-exp_binary64`
822×	`log1p-expm1-u_binary64`
822×	`expm1-log1p-u_binary64`
805×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	182	17
2	2256	17

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	818
1	186	814
2	492	790
3	1769	730
4	6730	730

Stop Event

1×	node limit

Counts

91 → 67

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 (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 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)

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) 2) (/.f64 (cos.f64 x) y))
	0.2b	(/.f64 (cos.f64 x) y)
✓	0.2b	(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)

Compiler

Compiled 31 to 12 computations (61.3% saved)

series7.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
0.0ms	x	@	0	(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) 2) (/.f64 (cos.f64 x) y))
0.0ms	y	@	0	(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) 2) (/.f64 (cos.f64 x) y))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`pow1_binary64`
899×	`add-log-exp_binary64`
898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	213	14
2	2422	14

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) 2) (/.f64 (cos.f64 x) y))

Outputs

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

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

779×	`fma-def_binary64`
520×	`times-frac_binary64`
420×	`associate-/l*_binary64`
363×	`unswap-sqr_binary64`
316×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	762
1	154	720
2	418	690
3	1580	630
4	6083	630

Stop Event

1×	node limit

Counts

86 → 73

Calls

Call 1

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

eval293.0ms (3.3%)

Compiler: Compiled 8216 to 3834 computations (53.3% saved)

prune264.0ms (3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	555	7	562
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	558	11	569

Error

Counts

569 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.0b	(/.f64 (sinh.f64 y) y)
✓	1.4b	(cos.f64 x)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶	29.0b	(*.f64 y (/.f64 1 y))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))
▶	28.0b	(/.f64 1 (/.f64 y (sinh.f64 y)))
	1.1b	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
▶	1.5b	(/.f64 1 (/.f64 1 (cos.f64 x)))
	29.0b	1
▶	0.3b	(/.f64 1 (/.f64 y (/.f64 1 (/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x))))))

Compiler

Compiled 148 to 112 computations (24.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (/.f64 1 (/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x)))))
✓	0.1b	(/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x)))
✓	0.1b	(/.f64 1 (/.f64 y (/.f64 1 (/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x))))))
✓	0.2b	(/.f64 1 (/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x))))

Compiler

Compiled 54 to 24 computations (55.6% saved)

series16.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x)))
3.0ms	x	@	-inf	(/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x)))
1.0ms	x	@	0	(/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x)))
1.0ms	y	@	-inf	(/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x)))
1.0ms	x	@	inf	(/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x)))

rewrite104.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`log-prod_binary64`
427×	`exp-prod_binary64`
326×	`pow-prod-down_binary64`
269×	`pow2_binary64`
207×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	247	41
2	2965	41

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

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

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

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
599×	`times-frac_binary64`
596×	`cancel-sign-sub-inv_binary64`
486×	`fma-neg_binary64`
349×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	2397
1	430	2363
2	1267	2212
3	4925	2212

Stop Event

1×	node limit

Counts

322 → 295

Calls

Call 1

Inputs
(*.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)))))
(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 (*.f64 (cos.f64 x) y))
(+.f64 (/.f64 1 (.f64 (cos.f64 x) y)) (.f64 -1/6 (/.f64 y (cos.f64 x))))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) (cos.f64 x))) (+.f64 (/.f64 1 (.f64 (cos.f64 x) y)) (*.f64 -1/6 (/.f64 y (cos.f64 x)))))
(+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 5) (cos.f64 x))) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) (cos.f64 x))) (+.f64 (/.f64 1 (.f64 (cos.f64 x) y)) (.f64 -1/6 (/.f64 y (cos.f64 x))))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 (.f64 5/12 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(+.f64 (.f64 61/360 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 5/12 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 1 (cos.f64 x))
(+.f64 (/.f64 1 (cos.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (cos.f64 x))))
(+.f64 (/.f64 1 (cos.f64 x)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) (cos.f64 x))) (.f64 7/360 (/.f64 (pow.f64 y 4) (cos.f64 x)))))
(+.f64 (/.f64 1 (cos.f64 x)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) (cos.f64 x))) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) (cos.f64 x))) (*.f64 7/360 (/.f64 (pow.f64 y 4) (cos.f64 x))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 4)))))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/24 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/2 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))) (pow.f64 x 6))) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 4))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))

Outputs
(*.f64 (cos.f64 x) y)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3))) (*.f64 (cos.f64 x) y))
(fma.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3)) (.f64 (cos.f64 x) y))
(fma.f64 (cos.f64 x) y (.f64 (pow.f64 y 3) (.f64 (cos.f64 x) 1/6)))
(.f64 (cos.f64 x) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 3)) 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)))))
(fma.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3)) (fma.f64 (cos.f64 x) y (.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 5)))))
(fma.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3)) (fma.f64 (cos.f64 x) y (.f64 (cos.f64 x) (*.f64 (pow.f64 y 5) 1/120))))
(fma.f64 (cos.f64 x) y (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(fma.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 5)) (.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(+.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))))))
(fma.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3)) (fma.f64 (cos.f64 x) y (fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 5)) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 7))))))
(fma.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 3)) (fma.f64 (cos.f64 x) y (fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 5)) (.f64 (pow.f64 y 7) (.f64 (cos.f64 x) 1/5040)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 y (.f64 1/6 (pow.f64 y 3)))) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 3)) y)) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/5040 (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) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.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 1/2 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (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 (.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)))))
(fma.f64 -1/4 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/4)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 x (*.f64 x -1/4))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/4 (*.f64 x x))))
(+.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)))))
(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 x (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (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 -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))))))
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(-.f64 (fma.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)))) (.f64 (pow.f64 x 4) (/.f64 (*.f64 y -5/12) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(fma.f64 (pow.f64 x 4) (.f64 5/12 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 2 (*.f64 x x))))
(fma.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 2 (.f64 x x)) (.f64 (/.f64 (*.f64 (pow.f64 x 4) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 5/12))
(+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/24 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/2 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))) (pow.f64 x 6))) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 1/12 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 4))))))
(+.f64 (/.f64 (.f64 y (.f64 x x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 -1 (+.f64 (.f64 (pow.f64 x 6) (fma.f64 -1/360 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/24 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 1/2 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -5/12))))) (.f64 (pow.f64 x 4) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -5/12))))))
(+.f64 (fma.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)))) (neg.f64 (fma.f64 (pow.f64 x 6) (+.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -5/24) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 7/180)) (.f64 (pow.f64 x 4) (/.f64 (*.f64 y -5/12) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))
(-.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 2 (.f64 x x))) (fma.f64 (pow.f64 x 4) (/.f64 (.f64 y -5/12) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (pow.f64 x 6) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -61/360))))
(-.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 2 (.f64 x x))) (fma.f64 (pow.f64 x 6) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -61/360) (.f64 (pow.f64 x 4) (/.f64 (*.f64 y -5/12) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))

localize6.0ms (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))

rewrite58.0ms (0.7%)

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)))))

simplify7.0ms (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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize48.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (cos.f64 x))
✓	0.2b	(/.f64 1 (/.f64 1 (cos.f64 x)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (cos.f64 x))
1.0ms	x	@	-inf	(/.f64 1 (cos.f64 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 (cos.f64 x)))
0.0ms	x	@	0	(/.f64 1 (cos.f64 x))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 1 (cos.f64 x)))

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

443×	`pow1_binary64`
426×	`add-sqr-sqrt_binary64`
418×	`*-un-lft-identity_binary64`
409×	`add-log-exp_binary64`
409×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	124	9
2	1221	9

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

740×	`*-commutative_binary64`
652×	`distribute-lft-out_binary64`
499×	`sqr-pow_binary64`
455×	`associate-+l+_binary64`
432×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	128
1	71	124
2	170	118
3	538	116
4	2002	116
5	3593	116
6	4438	116
7	4896	116
8	5675	116
9	6560	116
10	7089	116
11	7730	116

Stop Event

1×	node limit

Counts

58 → 55

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)
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 (.f64 61/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))

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 -1/2 (*.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)))
(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 x x) 1/2))
(fma.f64 (*.f64 x x) 1/2 1)
(fma.f64 x (*.f64 x 1/2) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 5/24)))
(+.f64 1 (fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) 5/24)))
(fma.f64 (pow.f64 x 4) 5/24 (fma.f64 (*.f64 x x) 1/2 1))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 5/24 1))
(+.f64 (.f64 61/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))
(fma.f64 61/720 (pow.f64 x 6) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) 5/24))))
(+.f64 (fma.f64 (.f64 x x) 1/2 (.f64 (pow.f64 x 4) 5/24)) (fma.f64 (pow.f64 x 6) 61/720 1))
(fma.f64 (pow.f64 x 6) 61/720 (fma.f64 (pow.f64 x 4) 5/24 (fma.f64 (*.f64 x x) 1/2 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) 1/2) (fma.f64 (pow.f64 x 6) 61/720 1))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 6) 61/720 (fma.f64 (pow.f64 x 4) 5/24 1)))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite173.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
485×	`add-sqr-sqrt_binary64`
470×	`add-log-exp_binary64`
469×	`log1p-expm1-u_binary64`
469×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	88	6
2	1224	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-def_binary64`
401×	`div-sub_binary64`
373×	`*-commutative_binary64`
320×	`distribute-lft-out_binary64`
286×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	180
1	59	178
2	131	174
3	377	174
4	1296	174
5	3361	174
6	5486	174

Stop Event

1×	node limit

Counts

43 → 40

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -31/15120 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4)))))
(fma.f64 -31/15120 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -31/15120 (pow.f64 y 6) (fma.f64 7/360 (pow.f64 y 4) 1)))
(fma.f64 y (fma.f64 -1/6 y (*.f64 -31/15120 (pow.f64 y 5))) (fma.f64 7/360 (pow.f64 y 4) 1))
(fma.f64 y (*.f64 y (fma.f64 (pow.f64 y 4) -31/15120 -1/6)) (fma.f64 7/360 (pow.f64 y 4) 1))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 y (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 y (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 y (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 y (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 y (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 y (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 y (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 y (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))

eval374.0ms (4.2%)

Compiler: Compiled 6996 to 3488 computations (50.1% saved)

prune250.0ms (2.8%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	487	3	490
Fresh	1	1	2
Picked	0	1	1
Done	0	8	8
Total	488	13	501

Error

Counts

501 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.7b	(/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))
✓	28.0b	(/.f64 (sinh.f64 y) y)
✓	1.4b	(cos.f64 x)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	29.0b	(*.f64 y (/.f64 1 y))
✓	28.0b	(/.f64 1 (/.f64 y (sinh.f64 y)))
▶	1.1b	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
✓	1.5b	(/.f64 1 (/.f64 1 (cos.f64 x)))
	29.0b	1
▶	1.7b	(-.f64 (+.f64 1 (cos.f64 x)) 1)
✓	0.3b	(/.f64 1 (/.f64 y (/.f64 1 (/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x))))))

Compiler

Compiled 110 to 84 computations (23.6% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 17 computations (48.5% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite233.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`pow1_binary64`
875×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
857×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	205	20
2	2461	20

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify142.0ms (1.6%)

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

68 → 49

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 2 expressions with local error:

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

series5.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.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)
0.0ms	x	@	inf	(+.f64 1 (cos.f64 x))
0.0ms	x	@	-inf	(+.f64 1 (cos.f64 x))

rewrite66.0ms (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 (+.f64 1 (cos.f64 x)) 1)
(+.f64 1 (cos.f64 x))

Outputs

((#(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)))))

((#(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)))))

simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2102×	`fma-def_binary64`
726×	`sqr-pow_binary64`
378×	`*-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	1370	140
5	3392	140
6	3977	140
7	4203	140
8	4398	140
9	4649	140
10	4964	140
11	6458	140
12	6895	140
13	7388	140
14	7991	140

Stop Event

1×	node limit

Counts

92 → 88

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)
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)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite198.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
536×	`add-log-exp_binary64`
535×	`log1p-expm1-u_binary64`
535×	`expm1-log1p-u_binary64`
524×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	140	19
2	1545	19

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

622×	`cancel-sign-sub-inv_binary64`
460×	`fma-def_binary64`
440×	`distribute-neg-frac_binary64`
413×	`unswap-sqr_binary64`
364×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	333
1	118	301
2	317	297
3	1039	297
4	4014	297
5	7757	297

Stop Event

1×	node limit

Counts

70 → 65

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/216 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 -6 (pow.f64 y 2))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(/.f64 -6 (pow.f64 y 2))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))

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 -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 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.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 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y 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 -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 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
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 1/36 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 y (.f64 y 1/6))))
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/36 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 1/216 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/216 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/216 (pow.f64 y 6) (fma.f64 1/36 (pow.f64 y 4) (.f64 y (.f64 y 1/6)))))
(fma.f64 1/216 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/36 (pow.f64 y 4) 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) 1/6) (fma.f64 1/216 (pow.f64 y 6) 1))
(/.f64 -6 (pow.f64 y 2))
(/.f64 -6 (*.f64 y y))
(/.f64 (/.f64 -6 y) y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))))
(-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4)))
(+.f64 (/.f64 (/.f64 -6 y) y) (/.f64 -36 (pow.f64 y 4)))
(+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6)))))
(-.f64 (-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))) (/.f64 216 (pow.f64 y 6)))
(+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 6 (*.f64 y y))))
(-.f64 (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 36 (pow.f64 y 4))) (/.f64 (/.f64 6 y) y))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6))) (/.f64 1296 (pow.f64 y 8)))))
(-.f64 (/.f64 -6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 1296 (pow.f64 y 8)))))
(+.f64 (+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 6 (*.f64 y y)))) (/.f64 -1296 (pow.f64 y 8)))
(+.f64 (-.f64 (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 36 (pow.f64 y 4))) (/.f64 (/.f64 6 y) y)) (/.f64 -1296 (pow.f64 y 8)))
(/.f64 -6 (pow.f64 y 2))
(/.f64 -6 (*.f64 y y))
(/.f64 (/.f64 -6 y) y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))))
(-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4)))
(+.f64 (/.f64 (/.f64 -6 y) y) (/.f64 -36 (pow.f64 y 4)))
(+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6)))))
(-.f64 (-.f64 (/.f64 -6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))) (/.f64 216 (pow.f64 y 6)))
(+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 6 (*.f64 y y))))
(-.f64 (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 36 (pow.f64 y 4))) (/.f64 (/.f64 6 y) y))
(neg.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 4))) (.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6))) (/.f64 1296 (pow.f64 y 8)))))
(-.f64 (/.f64 -6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 1296 (pow.f64 y 8)))))
(+.f64 (+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 6 (*.f64 y y)))) (/.f64 -1296 (pow.f64 y 8)))
(+.f64 (-.f64 (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 36 (pow.f64 y 4))) (/.f64 (/.f64 6 y) y)) (/.f64 -1296 (pow.f64 y 8)))

eval107.0ms (1.2%)

Compiler: Compiled 2500 to 1706 computations (31.8% saved)

prune34.0ms (0.4%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	198	4	202
Fresh	0	1	1
Picked	1	0	1
Done	1	10	11
Total	200	15	215

Error

Counts

215 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.0b	(/.f64 (sinh.f64 y) y)
✓	1.4b	(cos.f64 x)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	1.7b	(-.f64 (+.f64 1 (cos.f64 x)) 1)
	61.2b	(.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
✓	29.0b	(*.f64 y (/.f64 1 y))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 y) (cos.f64 x)))
✓	28.0b	(/.f64 1 (/.f64 y (sinh.f64 y)))
✓	1.1b	(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
	28.7b	(/.f64 1 (+.f64 (.f64 -1/6 (.f64 y y)) 1))
	63.3b	(/.f64 1 (.f64 -1/6 (.f64 y y)))
	29.0b	1
	63.3b	(/.f64 (/.f64 -6 y) y)
✓	0.3b	(/.f64 1 (/.f64 y (/.f64 1 (/.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x))))))

Compiler

Compiled 129 to 97 computations (24.8% saved)

regimes238.0ms (2.7%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

48.0ms	x
11.0ms	y
9.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
9.0ms	(cos.f64 x)
3.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 166 to 91 computations (45.2% saved)

regimes54.0ms (0.6%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	(/.f64 (sinh.f64 y) y)
11.0ms	x
8.0ms	y
7.0ms	(cos.f64 x)
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(cos.f64 x)`
0.2b	1	`(/.f64 (sinh.f64 y) y)`
0.2b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 115 to 69 computations (40% saved)

regimes37.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	x
10.0ms	y
7.0ms	(cos.f64 x)
4.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`y`
1.1b	1	`(cos.f64 x)`
1.1b	1	`(/.f64 (sinh.f64 y) y)`
1.1b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 108 to 67 computations (38% saved)

regimes32.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

4 calls:

10.0ms	(cos.f64 x)
8.0ms	x
8.0ms	y
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`y`
1.4b	1	`(cos.f64 x)`
1.4b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 92 to 58 computations (37% saved)

regimes12.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y
5.0ms	x

Results

Error	Segments	Branch
28.7b	1	`x`
28.7b	1	`y`

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes11.0ms (0.1%)

Accuracy

Total -34.6b remaining (-119.5%)

Threshold costs -34.6b (-119.5%)

Counts

5 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
29.0b	1	`x`
29.0b	1	`y`

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	54
1	28	54

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 48 to 36 computations (25% saved)

soundness0.0ms (0%)

end80.0ms (0.9%)

Compiler: Compiled 38 to 21 computations (44.7% saved)

Details

analyze179.0ms (2%)

sample3.9s (43.8%)

preprocess72.0ms (0.8%)

simplify54.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series5.0ms (0.1%)

rewrite61.0ms (0.7%)

simplify61.0ms (0.7%)

localize12.0ms (0.1%)

series11.0ms (0.1%)

rewrite63.0ms (0.7%)

simplify72.0ms (0.8%)

eval48.0ms (0.5%)

prune29.0ms (0.3%)

localize13.0ms (0.1%)

series10.0ms (0.1%)

rewrite84.0ms (0.9%)

simplify186.0ms (2.1%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (0.6%)

simplify46.0ms (0.5%)

localize152.0ms (1.7%)

series4.0ms (0%)

rewrite73.0ms (0.8%)

simplify71.0ms (0.8%)

localize15.0ms (0.2%)

series7.0ms (0.1%)

rewrite66.0ms (0.7%)

simplify72.0ms (0.8%)

eval293.0ms (3.3%)

prune264.0ms (3%)

localize21.0ms (0.2%)

series16.0ms (0.2%)

rewrite104.0ms (1.2%)

simplify107.0ms (1.2%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (0.7%)

simplify7.0ms (0.1%)

localize5.0ms (0.1%)

localize48.0ms (0.5%)

series2.0ms (0%)

rewrite46.0ms (0.5%)

simplify123.0ms (1.4%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite173.0ms (1.9%)

simplify62.0ms (0.7%)

eval374.0ms (4.2%)

prune250.0ms (2.8%)

localize14.0ms (0.2%)

series5.0ms (0.1%)

rewrite233.0ms (2.6%)

simplify142.0ms (1.6%)

localize9.0ms (0.1%)

series5.0ms (0.1%)

rewrite66.0ms (0.7%)

simplify140.0ms (1.6%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite198.0ms (2.2%)

simplify67.0ms (0.7%)

eval107.0ms (1.2%)

prune34.0ms (0.4%)

regimes238.0ms (2.7%)

regimes54.0ms (0.6%)

regimes37.0ms (0.4%)

regimes32.0ms (0.4%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end80.0ms (0.9%)

Profiling