Details

analyze551.0ms (10.2%)

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
6.2%	93.7%	0.1%	6
37.5%	62.4%	0.1%	7
37.5%	62.4%	0.1%	8
43.7%	45.3%	11%	9
43.7%	44.5%	11.8%	10
46.8%	35.5%	17.7%	11
46.8%	34.9%	18.2%	12
48.4%	30.3%	21.3%	13
48.4%	30%	21.6%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.9s (72.2%)

Results

1.1s	2048×	body	1024	valid
1.0s	1981×	body	1024	invalid
613.0ms	4656×	body	128	valid
404.0ms	1055×	body	512	valid
321.0ms	950×	body	512	invalid
140.0ms	517×	body	256	invalid
137.0ms	492×	body	256	valid
135.0ms	971×	body	128	invalid
6.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess32.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

620×	`fma-def_binary64`
330×	`associate-/r/_binary64`
292×	`associate-/l/_binary64`
207×	`div-sub_binary64`
184×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	63	22
3	144	22
4	326	22
5	831	22
6	2550	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

491×	`times-frac_binary64`
402×	`associate-/l*_binary64`
310×	`fma-def_binary64`
305×	`associate-l_binary64`
293×	`associate-r_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	431	11
6	1301	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (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

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

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series17.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	y	@	-inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	x	@	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	y	@	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	x	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

rewrite48.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`pow1_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.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 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 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 log1p.f64 (expm1.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sinh.f64 y)) 1))))))

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-neg_binary64`
492×	`fma-def_binary64`
218×	`associate-l_binary64`
216×	`associate-/l*_binary64`
199×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1037
1	386	985
2	1185	957
3	4524	955

Stop Event

1×	node limit

Counts

128 → 119

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) x) y)
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y))) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (pow.f64 x 3) (exp.f64 y)) y))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y)) (.f64 1/240 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 5)) y)))) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 3)) y)))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (pow.f64 x 5) (exp.f64 y)) y)) (.f64 1/10080 (/.f64 (pow.f64 x 7) (.f64 y (exp.f64 y))))))) (+.f64 (.f64 1/10080 (/.f64 (.f64 (pow.f64 x 7) (exp.f64 y)) y)) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 3)) y))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
y
(+.f64 (*.f64 1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))

Outputs
(/.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) x) y)
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y x))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y))) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (pow.f64 x 3) (exp.f64 y)) y))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)))) (fma.f64 1/2 (/.f64 x (.f64 y (exp.f64 y))) (.f64 1/12 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 3))))))
(-.f64 (fma.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)) (.f64 1/12 (/.f64 (/.f64 (pow.f64 x 3) y) (exp.f64 y)))) (fma.f64 1/12 (.f64 (/.f64 (pow.f64 x 3) y) (exp.f64 y)) (*.f64 (/.f64 1/2 (exp.f64 y)) (/.f64 x y))))
(+.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))) (.f64 (.f64 (pow.f64 x 3) (/.f64 (exp.f64 y) y)) -1/12))
(fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (fma.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (.f64 (*.f64 (pow.f64 x 3) (/.f64 (exp.f64 y) y)) -1/12)))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y)) (.f64 1/240 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 5)) y)))) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 3)) y)))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (fma.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)) (.f64 1/240 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 5)))))) (fma.f64 1/2 (/.f64 x (.f64 y (exp.f64 y))) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y))) (*.f64 1/12 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 3)))))))
(-.f64 (fma.f64 1/12 (/.f64 (/.f64 (pow.f64 x 3) y) (exp.f64 y)) (fma.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)) (.f64 1/240 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 5)))))) (fma.f64 1/2 (/.f64 x (.f64 y (exp.f64 y))) (fma.f64 1/12 (.f64 (/.f64 (pow.f64 x 3) y) (exp.f64 y)) (.f64 (/.f64 1/240 y) (/.f64 (pow.f64 x 5) (exp.f64 y))))))
(fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (fma.f64 1/240 (.f64 (exp.f64 y) (/.f64 (pow.f64 x 5) y)) (-.f64 (.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) (fma.f64 1/12 (.f64 (pow.f64 x 3) (/.f64 (exp.f64 y) y)) (*.f64 (/.f64 1/240 y) (/.f64 (pow.f64 x 5) (exp.f64 y)))))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (pow.f64 x 5) (exp.f64 y)) y)) (.f64 1/10080 (/.f64 (pow.f64 x 7) (.f64 y (exp.f64 y))))))) (+.f64 (.f64 1/10080 (/.f64 (.f64 (pow.f64 x 7) (exp.f64 y)) y)) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 3)) y))))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (fma.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)) (fma.f64 1/240 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 5))) (/.f64 (.f64 1/10080 (pow.f64 x 7)) (.f64 y (exp.f64 y)))))) (fma.f64 1/10080 (/.f64 (pow.f64 x 7) (/.f64 y (exp.f64 y))) (fma.f64 1/2 (/.f64 x (.f64 y (exp.f64 y))) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y))) (.f64 1/12 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 3))))))))
(-.f64 (fma.f64 1/12 (/.f64 (/.f64 (pow.f64 x 3) y) (exp.f64 y)) (fma.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)) (fma.f64 1/240 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 5))) (/.f64 (.f64 (/.f64 (pow.f64 x 7) y) 1/10080) (exp.f64 y))))) (fma.f64 1/10080 (.f64 (/.f64 (pow.f64 x 7) y) (exp.f64 y)) (fma.f64 1/2 (/.f64 x (.f64 y (exp.f64 y))) (fma.f64 1/12 (.f64 (/.f64 (pow.f64 x 3) y) (exp.f64 y)) (*.f64 (/.f64 1/240 y) (/.f64 (pow.f64 x 5) (exp.f64 y)))))))
(+.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (fma.f64 1/240 (.f64 (exp.f64 y) (/.f64 (pow.f64 x 5) y)) (.f64 (/.f64 (pow.f64 x 7) y) (/.f64 1/10080 (exp.f64 y))))) (-.f64 (.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) (fma.f64 1/10080 (/.f64 (pow.f64 x 7) (/.f64 y (exp.f64 y))) (fma.f64 1/12 (.f64 (pow.f64 x 3) (/.f64 (exp.f64 y) y)) (.f64 (/.f64 1/240 y) (/.f64 (pow.f64 x 5) (exp.f64 y)))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 (.f64 1/120 (pow.f64 y 4)) (sin.f64 x) (.f64 (fma.f64 1/6 (*.f64 y y) 1) (sin.f64 x)))
(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 y 6)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))))
(+.f64 (.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x)) (.f64 (sin.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (sin.f64 x) (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (sin.f64 x))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6)))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (fma.f64 1/5040 (pow.f64 y 6) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 y (.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6)))))
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
y
(+.f64 (*.f64 1/6 (pow.f64 y 3)) y)
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(+.f64 (fma.f64 1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5)))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7)))))
(+.f64 (fma.f64 1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 1/5040 (pow.f64 y 7))))
(+.f64 (fma.f64 1/5040 (pow.f64 y 7) (*.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) (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)))

prune73.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	117	4	121

Error

Counts

121 → 4

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
	0.9b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
	0.2b	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))

Compiler

Compiled 1786 to 859 computations (51.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite48.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`log1p-expm1-u_binary64`
855×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`
81×	`*-un-lft-identity_binary64`
81×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

921×	`times-frac_binary64`
357×	`fma-def_binary64`
204×	`associate-/l*_binary64`
166×	`associate-r_binary64`
160×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	887
1	340	851
2	1070	832
3	4180	832

Stop Event

1×	node limit

Counts

113 → 106

Calls

Call 1

Inputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 7/360 (pow.f64 y 4))) (.f64 1/6 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 7/360 (pow.f64 y 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 31/15120 (pow.f64 y 6))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) x) y)
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y))) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (pow.f64 x 3) (exp.f64 y)) y))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y)) (.f64 1/240 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 5)) y)))) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 3)) y)))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (pow.f64 x 5) (exp.f64 y)) y)) (.f64 1/10080 (/.f64 (pow.f64 x 7) (.f64 y (exp.f64 y))))))) (+.f64 (.f64 1/10080 (/.f64 (.f64 (pow.f64 x 7) (exp.f64 y)) y)) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 3)) y))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))

Outputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(-.f64 (+.f64 1 (.f64 7/360 (pow.f64 y 4))) (.f64 1/6 (pow.f64 y 2)))
(+.f64 (+.f64 1 (.f64 7/360 (pow.f64 y 4))) (.f64 -1/6 (*.f64 y y)))
(+.f64 1 (fma.f64 7/360 (pow.f64 y 4) (.f64 (.f64 y y) -1/6)))
(fma.f64 (*.f64 y y) -1/6 (fma.f64 7/360 (pow.f64 y 4) 1))
(-.f64 (+.f64 1 (.f64 7/360 (pow.f64 y 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 31/15120 (pow.f64 y 6))))
(-.f64 (+.f64 1 (.f64 7/360 (pow.f64 y 4))) (fma.f64 1/6 (.f64 y y) (*.f64 31/15120 (pow.f64 y 6))))
(-.f64 (fma.f64 7/360 (pow.f64 y 4) 1) (fma.f64 1/6 (.f64 y y) (.f64 31/15120 (pow.f64 y 6))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 y (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))))
(/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) x) y)
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) x)
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y))) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (pow.f64 x 3) (exp.f64 y)) y))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)))) (fma.f64 1/2 (/.f64 (/.f64 x y) (exp.f64 y)) (*.f64 1/12 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 3))))))
(-.f64 (fma.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)) (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))))) (fma.f64 1/2 (/.f64 x (.f64 y (exp.f64 y))) (/.f64 (.f64 (*.f64 1/12 (exp.f64 y)) (pow.f64 x 3)) y)))
(fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (+.f64 (.f64 1/2 (-.f64 (.f64 (/.f64 x y) (exp.f64 y)) (/.f64 (/.f64 x y) (exp.f64 y)))) (.f64 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 3))) -1/12)))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y)) (.f64 1/240 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 5)) y)))) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 3)) y)))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (fma.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)) (.f64 1/240 (/.f64 (pow.f64 x 5) (/.f64 y (exp.f64 y)))))) (fma.f64 1/2 (/.f64 (/.f64 x y) (exp.f64 y)) (fma.f64 1/240 (/.f64 (/.f64 (pow.f64 x 5) y) (exp.f64 y)) (*.f64 1/12 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 3)))))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (fma.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)) (.f64 1/240 (.f64 (/.f64 (pow.f64 x 5) y) (exp.f64 y))))) (fma.f64 1/2 (/.f64 x (.f64 y (exp.f64 y))) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y))) (/.f64 (.f64 (*.f64 1/12 (exp.f64 y)) (pow.f64 x 3)) y))))
(fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (fma.f64 1/240 (.f64 (exp.f64 y) (/.f64 (pow.f64 x 5) y)) (-.f64 (.f64 1/2 (-.f64 (.f64 (/.f64 x y) (exp.f64 y)) (/.f64 (/.f64 x y) (exp.f64 y)))) (fma.f64 1/12 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 3))) (*.f64 (/.f64 1/240 y) (/.f64 (pow.f64 x 5) (exp.f64 y)))))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (pow.f64 x 5) (exp.f64 y)) y)) (.f64 1/10080 (/.f64 (pow.f64 x 7) (.f64 y (exp.f64 y))))))) (+.f64 (.f64 1/10080 (/.f64 (.f64 (pow.f64 x 7) (exp.f64 y)) y)) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 3)) y))))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (fma.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (/.f64 y (exp.f64 y))) (.f64 1/10080 (/.f64 (/.f64 (pow.f64 x 7) y) (exp.f64 y)))))) (fma.f64 1/10080 (/.f64 (pow.f64 x 7) (/.f64 y (exp.f64 y))) (fma.f64 1/2 (/.f64 (/.f64 x y) (exp.f64 y)) (fma.f64 1/240 (/.f64 (/.f64 (pow.f64 x 5) y) (exp.f64 y)) (*.f64 1/12 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 3))))))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (fma.f64 1/2 (/.f64 (exp.f64 y) (/.f64 y x)) (fma.f64 1/240 (.f64 (/.f64 (pow.f64 x 5) y) (exp.f64 y)) (.f64 1/10080 (/.f64 (pow.f64 x 7) (.f64 y (exp.f64 y))))))) (fma.f64 1/10080 (.f64 (/.f64 (pow.f64 x 7) y) (exp.f64 y)) (fma.f64 1/2 (/.f64 x (.f64 y (exp.f64 y))) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y))) (/.f64 (.f64 (*.f64 1/12 (exp.f64 y)) (pow.f64 x 3)) y)))))
(fma.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y))) (-.f64 (fma.f64 1/2 (.f64 (/.f64 x y) (exp.f64 y)) (fma.f64 1/240 (.f64 (exp.f64 y) (/.f64 (pow.f64 x 5) y)) (.f64 1/10080 (/.f64 (/.f64 (pow.f64 x 7) y) (exp.f64 y))))) (fma.f64 1/2 (/.f64 (/.f64 x y) (exp.f64 y)) (fma.f64 1/10080 (.f64 (exp.f64 y) (/.f64 (pow.f64 x 7) y)) (fma.f64 1/12 (/.f64 (exp.f64 y) (/.f64 y (pow.f64 x 3))) (.f64 (/.f64 1/240 y) (/.f64 (pow.f64 x 5) (exp.f64 y))))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (.f64 y y) (sin.f64 x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)) (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) (fma.f64 (pow.f64 y 4) 1/120 1)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)) (fma.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (sin.f64 x)) (.f64 (sin.f64 x) (+.f64 (.f64 (pow.f64 y 4) 1/120) (.f64 (pow.f64 y 6) 1/5040))))
(fma.f64 (sin.f64 x) (fma.f64 (pow.f64 y 4) 1/120 (.f64 (pow.f64 y 6) 1/5040)) (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (sin.f64 x))

prune91.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	138	4	142

Error

Counts

142 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
	0.9b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.2b	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))

Compiler

Compiled 2063 to 922 computations (55.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
0.0ms	x	@	0	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
0.0ms	x	@	-inf	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
0.0ms	y	@	0	(*.f64 (sinh.f64 y) (/.f64 1 y))
0.0ms	y	@	-inf	(*.f64 (sinh.f64 y) (/.f64 1 y))

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`log1p-expm1-u_binary64`
825×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64`
89×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	184	17
2	2296	17

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-neg_binary64`
402×	`fma-def_binary64`
215×	`associate-/l*_binary64`
187×	`times-frac_binary64`
167×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	883
1	349	841
2	1082	815
3	4133	813

Stop Event

1×	node limit

Counts

86 → 80

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 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (.f64 1/2 (/.f64 1 (exp.f64 y)))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (exp.f64 y))) (*.f64 1/2 (exp.f64 y))) y))
(/.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 y)) (*.f64 1/2 (/.f64 1 (exp.f64 y)))) x) y)
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y))) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (pow.f64 x 3) (exp.f64 y)) y))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y)) (.f64 1/240 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 5)) y)))) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 3)) y)))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 3) (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 y) x) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (pow.f64 x 5) (exp.f64 y)) y)) (.f64 1/10080 (/.f64 (pow.f64 x 7) (.f64 y (exp.f64 y))))))) (+.f64 (.f64 1/10080 (/.f64 (.f64 (pow.f64 x 7) (exp.f64 y)) y)) (+.f64 (.f64 1/2 (/.f64 x (.f64 y (exp.f64 y)))) (+.f64 (.f64 1/240 (/.f64 (pow.f64 x 5) (.f64 y (exp.f64 y)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 y) (pow.f64 x 3)) y))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (sin.f64 x)) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (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)
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(+.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))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6)))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6))))
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(sin.f64 x)
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(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(/.f64 (-.f64 (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y))) (*.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y)))) y)
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 (sin.f64 x) (exp.f64 y))) (.f64 1/2 (.f64 (sin.f64 x) (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))

prune71.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Error

Counts

116 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.9b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.2b	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))

Compiler

Compiled 1729 to 904 computations (47.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
✓	0.1b	(*.f64 (pow.f64 y 2) (sin.f64 x))
✓	0.1b	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))

series8.0ms (0.2%)

Counts

3 → 15

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
1.0ms	x	@	0	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
1.0ms	x	@	inf	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
1.0ms	y	@	inf	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
1.0ms	x	@	-inf	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`prod-diff_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`
107×	`add-sqr-sqrt_binary64`
103×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	215	36
2	2678	36

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

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

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

448×	`fma-def_binary64`
382×	`cancel-sign-sub-inv_binary64`
369×	`distribute-rgt-neg-in_binary64`
353×	`distribute-lft-neg-in_binary64`
346×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	435
1	196	411
2	721	361
3	3730	361

Stop Event

1×	node limit

Counts

84 → 96

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(-.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5)))) (.f64 1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5)))) (+.f64 (.f64 1/30240 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (.f64 1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(*.f64 (pow.f64 y 2) x)
(-.f64 (.f64 (pow.f64 y 2) x) (.f64 1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 (pow.f64 y 2) x) (.f64 1/120 (.f64 (pow.f64 y 2) (pow.f64 x 5)))) (.f64 1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 (pow.f64 y 2) x) (.f64 1/120 (.f64 (pow.f64 y 2) (pow.f64 x 5)))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (.f64 1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5))) x))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5))) x))) (+.f64 (.f64 1/30240 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/36 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(sin.f64 x)
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))

Outputs
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 1/6 (.f64 y (*.f64 y x)))
(-.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (.f64 (.f64 y y) x)) (.f64 -1/36 (.f64 (.f64 y y) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 y (.f64 y x)) (.f64 (.f64 y (*.f64 y (pow.f64 x 3))) -1/36))
(.f64 (.f64 y y) (+.f64 (.f64 (pow.f64 x 3) -1/36) (.f64 1/6 x)))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5)))) (.f64 1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (fma.f64 1/6 (.f64 (.f64 y y) x) (.f64 1/720 (.f64 (.f64 y y) (pow.f64 x 5)))) (.f64 -1/36 (.f64 (.f64 y y) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 y (.f64 y x)) (fma.f64 1/720 (.f64 y (.f64 y (pow.f64 x 5))) (.f64 (.f64 y (*.f64 y (pow.f64 x 3))) -1/36)))
(fma.f64 1/6 (.f64 y (.f64 y x)) (.f64 (.f64 y y) (-.f64 (.f64 1/720 (pow.f64 x 5)) (.f64 1/36 (pow.f64 x 3)))))
(fma.f64 1/6 (.f64 y (.f64 y x)) (.f64 (.f64 y y) (+.f64 (.f64 1/720 (pow.f64 x 5)) (.f64 (pow.f64 x 3) -1/36))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5)))) (+.f64 (.f64 1/30240 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (.f64 1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(-.f64 (fma.f64 1/6 (.f64 (.f64 y y) x) (.f64 1/720 (.f64 (.f64 y y) (pow.f64 x 5)))) (fma.f64 1/30240 (.f64 (.f64 y y) (pow.f64 x 7)) (.f64 1/36 (.f64 (.f64 y y) (pow.f64 x 3)))))
(-.f64 (fma.f64 (.f64 1/6 (.f64 y y)) x (.f64 (.f64 y y) (.f64 (pow.f64 x 5) 1/720))) (fma.f64 1/36 (.f64 y (.f64 y (pow.f64 x 3))) (.f64 (.f64 y y) (.f64 (pow.f64 x 7) 1/30240))))
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 1/6 x) (.f64 1/720 (pow.f64 x 5)))) (.f64 (.f64 y y) (+.f64 (.f64 1/36 (pow.f64 x 3)) (.f64 1/30240 (pow.f64 x 7)))))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(-.f64 (.f64 (pow.f64 y 2) x) (.f64 1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (.f64 (.f64 y y) x) (.f64 -1/6 (.f64 (*.f64 y y) (pow.f64 x 3))))
(fma.f64 (.f64 y y) x (.f64 (.f64 y (.f64 y (pow.f64 x 3))) -1/6))
(.f64 (.f64 y y) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(-.f64 (+.f64 (.f64 (pow.f64 y 2) x) (.f64 1/120 (.f64 (pow.f64 y 2) (pow.f64 x 5)))) (.f64 1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (fma.f64 (.f64 y y) x (.f64 (.f64 (.f64 y y) (pow.f64 x 5)) 1/120)) (.f64 -1/6 (.f64 (*.f64 y y) (pow.f64 x 3))))
(fma.f64 (.f64 y y) x (fma.f64 (.f64 y (.f64 y (pow.f64 x 5))) 1/120 (.f64 (.f64 y (.f64 y (pow.f64 x 3))) -1/6)))
(fma.f64 y (.f64 y x) (.f64 (.f64 y y) (fma.f64 (pow.f64 x 5) 1/120 (.f64 (pow.f64 x 3) -1/6))))
(-.f64 (+.f64 (.f64 (pow.f64 y 2) x) (.f64 1/120 (.f64 (pow.f64 y 2) (pow.f64 x 5)))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (.f64 1/6 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(-.f64 (fma.f64 (.f64 y y) x (.f64 (.f64 (.f64 y y) (pow.f64 x 5)) 1/120)) (fma.f64 1/5040 (.f64 (.f64 y y) (pow.f64 x 7)) (.f64 1/6 (.f64 (*.f64 y y) (pow.f64 x 3)))))
(-.f64 (fma.f64 (.f64 y y) x (.f64 (.f64 y (.f64 y (pow.f64 x 5))) 1/120)) (fma.f64 1/6 (.f64 y (.f64 y (pow.f64 x 3))) (.f64 (.f64 y y) (*.f64 (pow.f64 x 7) 1/5040))))
(+.f64 (.f64 (.f64 y y) (fma.f64 (pow.f64 x 5) 1/120 (.f64 (pow.f64 x 3) -1/6))) (.f64 (.f64 y y) (-.f64 x (.f64 (pow.f64 x 7) 1/5040))))
(+.f64 (.f64 (.f64 y y) (fma.f64 (pow.f64 x 5) 1/120 (.f64 (pow.f64 x 3) -1/6))) (.f64 (.f64 y y) (+.f64 x (.f64 (pow.f64 x 7) -1/5040))))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 x (+.f64 1 (.f64 1/6 (*.f64 y y))))
(.f64 x (fma.f64 1/6 (.f64 y y) 1))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (fma.f64 1/6 (.f64 (.f64 y y) x) x) (fma.f64 1/6 (pow.f64 x 3) (.f64 1/36 (.f64 (*.f64 y y) (pow.f64 x 3)))))
(-.f64 (.f64 x (fma.f64 1/6 (.f64 y y) 1)) (.f64 (pow.f64 x 3) (+.f64 (.f64 (*.f64 y y) 1/36) 1/6)))
(-.f64 (.f64 x (fma.f64 1/6 (.f64 y y) 1)) (.f64 (pow.f64 x 3) (fma.f64 (.f64 y y) 1/36 1/6)))
(fma.f64 x (fma.f64 1/6 (.f64 y y) 1) (.f64 (pow.f64 x 3) (+.f64 -1/6 (.f64 y (.f64 y -1/36)))))
(-.f64 (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5))) x))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(-.f64 (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (.f64 (.f64 y y) x) (fma.f64 1/720 (.f64 (.f64 y y) (pow.f64 x 5)) x))) (fma.f64 1/6 (pow.f64 x 3) (.f64 1/36 (.f64 (*.f64 y y) (pow.f64 x 3)))))
(-.f64 (fma.f64 (pow.f64 x 5) 1/120 (fma.f64 1/6 (.f64 y (.f64 y x)) (fma.f64 1/720 (.f64 y (.f64 y (pow.f64 x 5))) x))) (.f64 (pow.f64 x 3) (+.f64 (.f64 (*.f64 y y) 1/36) 1/6)))
(-.f64 (+.f64 x (fma.f64 (pow.f64 x 5) 1/120 (.f64 (.f64 y y) (+.f64 (.f64 1/6 x) (.f64 1/720 (pow.f64 x 5)))))) (.f64 (pow.f64 x 3) (fma.f64 (.f64 y y) 1/36 1/6)))
(-.f64 (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5))) x))) (+.f64 (.f64 1/30240 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/36 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))
(-.f64 (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (.f64 (.f64 y y) x) (fma.f64 1/720 (.f64 (.f64 y y) (pow.f64 x 5)) x))) (fma.f64 1/30240 (.f64 (.f64 y y) (pow.f64 x 7)) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (.f64 1/36 (.f64 (*.f64 y y) (pow.f64 x 3)))))))
(-.f64 (fma.f64 (pow.f64 x 5) 1/120 (fma.f64 1/6 (.f64 y (.f64 y x)) (fma.f64 1/720 (.f64 y (.f64 y (pow.f64 x 5))) x))) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 (.f64 y y) 1/36) 1/6)) (.f64 (pow.f64 x 7) (+.f64 (.f64 (.f64 y y) 1/30240) 1/5040))))
(fma.f64 (pow.f64 x 5) 1/120 (-.f64 (+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 1/6 x) (.f64 1/720 (pow.f64 x 5))))) (fma.f64 (pow.f64 x 3) (fma.f64 (.f64 y y) 1/36 1/6) (.f64 (pow.f64 x 7) (fma.f64 (*.f64 y y) 1/30240 1/5040)))))
(+.f64 (fma.f64 (pow.f64 x 5) 1/120 (.f64 (.f64 y y) (+.f64 (.f64 1/6 x) (.f64 1/720 (pow.f64 x 5))))) (-.f64 x (fma.f64 (pow.f64 x 3) (fma.f64 (.f64 y y) 1/36 1/6) (.f64 (pow.f64 x 7) (fma.f64 (*.f64 y y) 1/30240 1/5040)))))
(sin.f64 x)
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))

prune72.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	96	4	100

Error

Counts

100 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.9b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.2b	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))

Compiler

Compiled 1858 to 1066 computations (42.6% saved)

regimes92.0ms (1.7%)

Accuracy

Total 0.0b remaining (40%)

Threshold costs 0.0b (40%)

Counts

42 → 1

Compiler

Compiled 382 to 129 computations (66.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end69.0ms (1.3%)

Stop Event

1×

done

Compiler

Compiled 60 to 41 computations (31.7% saved)

Details

analyze551.0ms (10.2%)

sample3.9s (72.2%)

preprocess32.0ms (0.6%)

simplify20.0ms (0.4%)

prune3.0ms (0%)

localize6.0ms (0.1%)

series17.0ms (0.3%)

rewrite48.0ms (0.9%)

simplify51.0ms (0.9%)

prune73.0ms (1.4%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite48.0ms (0.9%)

simplify45.0ms (0.8%)

prune91.0ms (1.7%)

localize7.0ms (0.1%)

series5.0ms (0.1%)

rewrite42.0ms (0.8%)

simplify44.0ms (0.8%)

prune71.0ms (1.3%)

localize7.0ms (0.1%)

series8.0ms (0.2%)

rewrite53.0ms (1%)

simplify32.0ms (0.6%)

prune72.0ms (1.3%)

regimes92.0ms (1.7%)

simplify2.0ms (0%)

end69.0ms (1.3%)

Profiling