Details

analyze147.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
26.7%	25%	68.7%	0.1%	6.2%	0%	0%	6
48.3%	43.7%	46.8%	0.1%	9.4%	0%	0%	7
50.9%	43.7%	42.1%	0.1%	14%	0%	0%	8
56.1%	46.8%	36.7%	0.1%	16.4%	0%	0%	9
58%	46.8%	34%	0.1%	19.1%	0%	0%	10
60.9%	48.4%	31%	0.1%	20.5%	0%	0%	11
62.1%	48.4%	29.6%	0.1%	22%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.3s (37.3%)

Results

1.2s	2063×	body	1024	valid
1.0s	2064×	body	1024	infinite
965.0ms	5174×	body	256	valid
387.0ms	1016×	body	512	valid
325.0ms	977×	body	512	infinite
277.0ms	1477×	body	256	infinite
6.0ms	3×	body	2048	valid
1.0ms	2×	body	2048	infinite

Bogosity

preprocess116.0ms (1%)

Algorithm

2×	egg-herbie

Rules

824×	`fma-def_binary64`
728×	`unswap-sqr_binary64`
406×	`associate-/r/_binary64`
395×	`associate-*l/_binary64`
352×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	59	22
3	121	22
4	228	22
5	379	22
6	750	22
7	2263	22
8	4698	22
9	6102	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

883×	`fma-def_binary64`
772×	`unswap-sqr_binary64`
453×	`associate-/l*_binary64`
363×	`times-frac_binary64`
271×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	33	11
3	65	11
4	118	11
5	194	11
6	386	11
7	1120	11
8	3218	11
9	3571	11
10	4095	11
11	5687	11
12	6458	11
13	7456	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series67.0ms (0.6%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	y	@	inf	(/.f64 (sin.f64 y) y)
4.0ms	x	@	inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms	y	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	x	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	x	@	0	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

rewrite147.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
777×	`add-log-exp_binary64`
776×	`log1p-expm1-u_binary64`
776×	`expm1-log1p-u_binary64`
759×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	2033	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

Outputs

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

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

581×	`associate-+l+_binary64`
492×	`times-frac_binary64`
485×	`associate-+r+_binary64`
384×	`associate-/l*_binary64`
341×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	674
1	170	670
2	517	608
3	1888	577
4	6798	568

Stop Event

1×	node limit

Counts

89 → 85

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 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y)) (/.f64 (.f64 (*.f64 1/24 (sin.f64 y)) (pow.f64 x 4)) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 (/.f64 (sin.f64 y) y) (*.f64 1/720 (pow.f64 x 6)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (pow.f64 y 4) (fma.f64 (exp.f64 x) 1/240 (/.f64 1/240 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 y (.f64 y -1/12)) (.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (.f64 y -1/12)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (pow.f64 y 4) 1/240) (.f64 (pow.f64 y 6) -1/10080))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 (pow.f64 y 6) -1/10080)) (+.f64 (.f64 y (.f64 y -1/12)) (*.f64 (pow.f64 y 4) 1/240))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))) y)
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.3b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series37.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
1.0ms	x	@	inf	(/.f64 (cosh.f64 x) y)
1.0ms	x	@	-inf	(/.f64 (cosh.f64 x) y)
1.0ms	x	@	0	(/.f64 (cosh.f64 x) y)
1.0ms	y	@	-inf	(/.f64 (cosh.f64 x) y)

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	2023	17

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

Outputs

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

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

simplify136.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

600×	`times-frac_binary64`
585×	`associate-+l+_binary64`
485×	`associate-/l*_binary64`
478×	`associate-+r+_binary64`
373×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1024
1	186	1020
2	541	938
3	1886	907
4	7156	901

Stop Event

1×	node limit

Counts

101 → 79

Calls

Call 1

Inputs
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))

Outputs
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (*.f64 y y))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 1/240 (pow.f64 y 4)) (.f64 -1/12 (.f64 y y)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (.f64 y y)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (.f64 -1/10080 (pow.f64 y 6)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (*.f64 -1/10080 (pow.f64 y 6)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 x (/.f64 (sin.f64 y) (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 x x) (+.f64 1/2 (.f64 (*.f64 x x) 1/24)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y))) (fma.f64 1/2 (/.f64 (.f64 x x) (/.f64 y (sin.f64 y))) (.f64 (/.f64 1/720 y) (*.f64 (sin.f64 y) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (.f64 x (/.f64 (sin.f64 y) (/.f64 y x))) (/.f64 (sin.f64 y) y)) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (/.f64 (sin.f64 y) y)) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 1 y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (.f64 1/2 (/.f64 (.f64 x x) y))))
(+.f64 (/.f64 1 y) (fma.f64 1/2 (/.f64 (.f64 x x) y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))))
(+.f64 (/.f64 1 y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (.f64 1/2 (/.f64 (.f64 x x) y)))))
(+.f64 (/.f64 1 y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/2 (/.f64 (.f64 x x) y) (.f64 1/24 (/.f64 (pow.f64 x 4) y)))))
(fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y))))
(fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/2 (*.f64 x (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y))))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)

eval151.0ms (1.3%)

Compiler: Compiled 2239 to 1003 computations (55.2% saved)

prune109.0ms (1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	149	15	164
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	151	15	166

Error

0.0b

Counts

166 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.7b	(*.f64 (cosh.f64 x) 1)
	16.2b	(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	1.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	0.3b	(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 x x) (+.f64 1/2 (.f64 (*.f64 x x) 1/24)))))
	31.6b	(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))
▶	0.4b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
▶	0.7b	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
	39.9b	(*.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3)))
	0.6b	(/.f64 (sin.f64 y) y)
▶	20.3b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	33.0b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	31.6b	(.f64 (sin.f64 y) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y))))
	33.3b	(.f64 (cosh.f64 x) (fma.f64 -1/6 (.f64 y y) 1))
	0.7b	(*.f64 (sin.f64 y) (/.f64 1 y))

Compiler

Compiled 366 to 252 computations (31.1% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series11.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
1.0ms	y	@	-inf	(/.f64 y (sin.f64 y))
1.0ms	y	@	inf	(/.f64 y (sin.f64 y))
1.0ms	x	@	0	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
1.0ms	y	@	0	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
867×	`add-log-exp_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
847×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2267	17

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-+l+_binary64`
492×	`times-frac_binary64`
474×	`associate-+r+_binary64`
385×	`associate-/l*_binary64`
339×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	674
1	174	670
2	525	608
3	1916	577
4	6783	568

Stop Event

1×	node limit

Counts

100 → 96

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (.f64 1/24 (.f64 (sin.f64 y) (pow.f64 x 4))) y)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 x x) (+.f64 1/2 (.f64 (*.f64 x x) 1/24)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/720 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (/.f64 (.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (.f64 x x)) 1/2)))))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.f64 (sin.f64 y) y)) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (*.f64 y y))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 y y)) (.f64 1/240 (pow.f64 y 4)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 -1/10080 (pow.f64 y 6)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (.f64 y y)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (.f64 -1/10080 (pow.f64 y 6)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 -1/10080 (pow.f64 y 6))) (+.f64 (.f64 -1/12 (.f64 y y)) (*.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/12 (.f64 y y)) (+.f64 (.f64 1/240 (pow.f64 y 4)) (+.f64 1/2 (*.f64 -1/10080 (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(fma.f64 (*.f64 y y) 1/6 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360)))
(+.f64 (fma.f64 (.f64 y y) 1/6 1) (.f64 (pow.f64 y 4) 7/360))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (.f64 y y) 1/6 (.f64 (pow.f64 y 4) 7/360))))
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))

localize6.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 x x))
✓	0.0b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
	0.2b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 39 to 18 computations (53.8% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
372×	`pow-prod-down_binary64`
349×	`prod-diff_binary64`
291×	`pow2_binary64`
228×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	233	23
2	3031	23

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
839×	`times-frac_binary64`
612×	`associate-+l+_binary64`
556×	`associate-+r+_binary64`
553×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	665
1	98	615
2	312	589
3	1267	571
4	4914	479

Stop Event

1×	node limit

Counts

150 → 130

Calls

Call 1

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

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y))
(/.f64 (.f64 1/2 (sin.f64 y)) (/.f64 y (.f64 x x)))
(/.f64 (sin.f64 y) (/.f64 (/.f64 (/.f64 y x) x) 1/2))
(.f64 (/.f64 (sin.f64 y) y) (.f64 x (*.f64 1/2 x)))
(.f64 x (/.f64 (sin.f64 y) (/.f64 y (.f64 1/2 x))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y))
(/.f64 (.f64 1/2 (sin.f64 y)) (/.f64 y (.f64 x x)))
(/.f64 (sin.f64 y) (/.f64 (/.f64 (/.f64 y x) x) 1/2))
(.f64 (/.f64 (sin.f64 y) y) (.f64 x (*.f64 1/2 x)))
(.f64 x (/.f64 (sin.f64 y) (/.f64 y (.f64 1/2 x))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (.f64 y y)) (+.f64 1 (.f64 1/2 (.f64 x x))))
(fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (+.f64 (.f64 y (.f64 y -1/6)) 1) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 y (*.f64 y -1/6) 1))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (.f64 y y)) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) (fma.f64 1/2 (.f64 x x) 1)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (*.f64 (pow.f64 y 4) 1/120)))
(+.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 y (.f64 y -1/6)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 y (.f64 y -1/6)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (.f64 y y)) (+.f64 1 (fma.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 6)) (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 4)))))))
(+.f64 (fma.f64 -1/5040 (.f64 (fma.f64 1/2 (.f64 x x) 1) (pow.f64 y 6)) (fma.f64 1/2 (.f64 x x) (.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (pow.f64 y 4) 1/120)))) (fma.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) -1/6) (*.f64 y y) 1))
(+.f64 (.f64 (+.f64 (.f64 y (.f64 y -1/6)) 1) (fma.f64 1/2 (.f64 x x) 1)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/5040 (pow.f64 y 6)))))
(fma.f64 y (.f64 y (fma.f64 (.f64 x x) -1/12 -1/6)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (*.f64 -1/5040 (pow.f64 y 6)))))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (fma.f64 y (.f64 y -1/6) 1) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6)))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 (sin.f64 y) y) (.f64 x (.f64 1/2 x)) (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	0.2b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
	0.2b	(/.f64 (sin.f64 y) y)
✓	20.3b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series11.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(pow.f64 (/.f64 (sin.f64 y) y) 3)
3.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
1.0ms	y	@	inf	(pow.f64 (/.f64 (sin.f64 y) y) 3)
1.0ms	y	@	-inf	(pow.f64 (/.f64 (sin.f64 y) y) 3)
1.0ms	y	@	-inf	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))

rewrite142.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
383×	`prod-exp_binary64`
350×	`exp-prod_binary64`
302×	`pow-prod-down_binary64`
248×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	218	26
2	2551	26

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (sin.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (sin.f64 y)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 (/.f64 1 y) (pow.f64 (/.f64 (sin.f64 y) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) (pow.f64 (/.f64 (sin.f64 y) y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (sin.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 5/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 y (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (sin.f64 y)) 3) (pow.f64 (neg.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 y) 3)) (neg.f64 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (pow.f64 (/.f64 (sin.f64 y) y) 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 (/.f64 (sin.f64 y) y) 2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 y) y) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 y) y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (sin.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 3) (*.f64 3 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 3 (log.f64 (sin.f64 y))) (*.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 3) (*.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (*.f64 2 (log.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) (*.f64 2 (log.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 y) y))) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 y) y))) (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3/2) (*.f64 3/2 (log.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 3/2 (log.f64 (/.f64 (sin.f64 y) y))) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3/2) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3/2)))))))

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

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

785×	`times-frac_binary64`
646×	`associate-/l*_binary64`
601×	`associate-+l+_binary64`
427×	`associate-/r*_binary64`
328×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	918
1	232	910
2	715	850
3	2806	795

Stop Event

1×	node limit

Counts

217 → 203

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 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.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)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1))) y)
(*.f64 (/.f64 (cbrt.f64 -1) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (cbrt.f64 -1)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 y (*.f64 y -1/2) 1)
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/2)))
(fma.f64 (pow.f64 y 4) 13/120 (fma.f64 (*.f64 y y) -1/2 1))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 13/120 1))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 6) -41/3024))))
(+.f64 (fma.f64 (pow.f64 y 6) -41/3024 (.f64 y (.f64 y -1/2))) (fma.f64 (pow.f64 y 4) 13/120 1))
(fma.f64 (pow.f64 y 4) 13/120 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 6) -41/3024 1)))
(fma.f64 (pow.f64 y 4) 13/120 (fma.f64 (pow.f64 y 6) -41/3024 (fma.f64 y (*.f64 y -1/2) 1)))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (/.f64 (.f64 1/720 (*.f64 (sin.f64 y) (pow.f64 x 6))) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (fma.f64 1/720 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 y (*.f64 y -1/12)) 1/2))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 (*.f64 y y) -1/12)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 (pow.f64 y 4) 1/240))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 (.f64 y y) -1/12) (.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 y (.f64 y -1/12)) 1/2)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (pow.f64 y 4) 1/240) (.f64 (pow.f64 y 6) -1/10080))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 (.f64 y y) -1/12)) (+.f64 (.f64 (pow.f64 y 4) 1/240) (*.f64 (pow.f64 y 6) -1/10080))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) -1/2)) y)
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) -1/2))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) -1/2)) y)
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) -1/2))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) -1/2)) y)
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) -1/2))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) -1/2)) y)
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) -1/2))

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 y (sin.f64 y))
	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓	0.3b	(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
✓	0.4b	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)

Compiler

Compiled 38 to 10 computations (73.7% saved)

series49.0ms (0.4%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	y	@	0	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
10.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
6.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
6.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
4.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)

rewrite121.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`log-prod_binary64`
402×	`exp-prod_binary64`
290×	`pow-prod-down_binary64`
260×	`pow2_binary64`
180×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	223	24
2	2773	24

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
(cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1/6) (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2) (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (sin.f64 y)) -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 5/6) (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) 1) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) 1) (*.f64 2 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cosh.f64 x) 1) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 3/2) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1/6) (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) (neg.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (cosh.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1) 1))))))

simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Rules

577×	`distribute-rgt-in_binary64`
572×	`distribute-lft-in_binary64`
520×	`times-frac_binary64`
387×	`associate-/l*_binary64`
322×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2028
1	697	1907
2	2587	1662

Stop Event

1×	node limit

Counts

149 → 153

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))))) (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))))) (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (.f64 1/216 (/.f64 (sin.f64 y) y)) (.f64 1/3 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y)))))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y)))))))) (+.f64 (.f64 1/9 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (.f64 1/216 (/.f64 (sin.f64 y) y)) (.f64 1/3 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))))))))) (pow.f64 x 6)) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))))) (.f64 1/18 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))))) (pow.f64 x 4)))))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/324 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (.f64 1/1296 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (.f64 1/1296 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (.f64 (+.f64 (.f64 -1/54 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (cbrt.f64 1/2) 4)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (.f64 -1/9 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (.f64 1/3 (.f64 (-.f64 (.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (.f64 -1/9 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (pow.f64 1 1/3)))))) (pow.f64 y 6)) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/324 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (.f64 1/1296 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4)))))
(pow.f64 (/.f64 (sin.f64 y) y) 1/3)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 x 4)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 x 4)) (pow.f64 (/.f64 (.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (.f64 1/216 (/.f64 (sin.f64 y) y)) (.f64 1/3 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y)))))) (pow.f64 x 6)))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2)))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (.f64 -1/9 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (pow.f64 y 6)) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2)))))

Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 x x) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))))) (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))))) (pow.f64 x 4))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 x x) (.f64 (fma.f64 1/3 (.f64 1 (.f64 (/.f64 (sin.f64 y) y) -1/24)) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 y (sin.f64 y)))) (.f64 (/.f64 (sin.f64 y) y) -1/24))) (.f64 (/.f64 (sin.f64 y) y) 1/18))) (pow.f64 x 4))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (+.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (/.f64 -1/24 (/.f64 y (sin.f64 y))) (.f64 2/3 (cbrt.f64 (/.f64 y (sin.f64 y)))))) (/.f64 1/18 (/.f64 y (sin.f64 y)))) (.f64 (/.f64 (sin.f64 y) y) -1/72)) (pow.f64 x 4) (.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (*.f64 x x))))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/2 (.f64 x x)))) (.f64 (+.f64 (.f64 (sin.f64 y) (/.f64 1/24 y)) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 -1/36 (/.f64 y (sin.f64 y))))))) (pow.f64 x 4)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (.f64 1/216 (/.f64 (sin.f64 y) y)) (.f64 1/3 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y)))))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y)))))))) (+.f64 (.f64 1/9 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (.f64 1/216 (/.f64 (sin.f64 y) y)) (.f64 1/3 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))))))))) (pow.f64 x 6)) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))))))) (.f64 1/18 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))))) (pow.f64 x 4)))))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/9 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/24) (cbrt.f64 (/.f64 y (sin.f64 y)))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (-.f64 (.f64 (/.f64 (sin.f64 y) y) 1/720) (fma.f64 1/216 (/.f64 (sin.f64 y) y) (.f64 1/3 (.f64 (/.f64 (sin.f64 y) y) -1/24))))))) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 y (sin.f64 y)))) (.f64 (/.f64 (sin.f64 y) y) -1/24)))) (fma.f64 1/9 (.f64 1 (.f64 (/.f64 (sin.f64 y) y) -1/24)) (.f64 1/3 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 1/720) (fma.f64 1/216 (/.f64 (sin.f64 y) y) (.f64 1/3 (.f64 (/.f64 (sin.f64 y) y) -1/24)))))))) (pow.f64 x 6) (+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 x x) (.f64 (fma.f64 1/3 (.f64 1 (.f64 (/.f64 (sin.f64 y) y) -1/24)) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 y (sin.f64 y)))) (.f64 (/.f64 (sin.f64 y) y) -1/24))) (.f64 (/.f64 (sin.f64 y) y) 1/18))) (pow.f64 x 4)))))
(+.f64 (fma.f64 (+.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (/.f64 -1/24 (/.f64 y (sin.f64 y))) (.f64 2/3 (cbrt.f64 (/.f64 y (sin.f64 y)))))) (/.f64 1/18 (/.f64 y (sin.f64 y)))) (.f64 (/.f64 (sin.f64 y) y) -1/72)) (pow.f64 x 4) (.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 x x))) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (-.f64 (.f64 (/.f64 (sin.f64 y) y) -7/2160) (.f64 (/.f64 (sin.f64 y) y) -1/72))) (.f64 (/.f64 -1/24 (/.f64 y (sin.f64 y))) (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 1/9))) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (/.f64 -1/24 (/.f64 y (sin.f64 y))) (.f64 2/3 (cbrt.f64 (/.f64 y (sin.f64 y))))))) (fma.f64 1/3 (-.f64 (.f64 (/.f64 (sin.f64 y) y) -7/2160) (.f64 (/.f64 (sin.f64 y) y) -1/72)) (*.f64 (/.f64 -1/24 (/.f64 y (sin.f64 y))) 1/9)))) (pow.f64 x 6) (/.f64 (sin.f64 y) y)))
(fma.f64 (+.f64 (fma.f64 1/3 (.f64 (/.f64 (sin.f64 y) y) 23/2160) (.f64 (/.f64 (sin.f64 y) y) -1/216)) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (+.f64 (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (+.f64 (.f64 (/.f64 (sin.f64 y) y) -1/216) (.f64 2/3 (.f64 (/.f64 (sin.f64 y) y) 23/2160)))) (.f64 1/6 (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 -1/36 (/.f64 y (sin.f64 y))))))))) (pow.f64 x 6) (+.f64 (.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/2 (.f64 x x)))) (.f64 (+.f64 (.f64 (sin.f64 y) (/.f64 1/24 y)) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (fma.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 y y))) (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 -1/36 (/.f64 y (sin.f64 y))))))) (pow.f64 x 4))))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (*.f64 y y))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/324 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (.f64 1/1296 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (fma.f64 1/324 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 1/2) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (cbrt.f64 1/2))) (.f64 1/1296 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/324 (fma.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 1/2) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (cbrt.f64 1/2) -1/2160))) (.f64 1/1296 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (*.f64 1/2 (cbrt.f64 1/2))))))))) (pow.f64 y 4))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (.f64 y y)))) (.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/324 (fma.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (cbrt.f64 1/2)) -1/2160)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (cbrt.f64 1/2)) 1/648)))))) (pow.f64 y 4)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (.f64 1/1296 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (.f64 (+.f64 (.f64 -1/54 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (cbrt.f64 1/2) 4)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (.f64 -1/9 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (.f64 1/3 (.f64 (-.f64 (.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (.f64 -1/9 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (pow.f64 1 1/3)))))) (pow.f64 y 6)) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/324 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (.f64 1/1296 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4)))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 (fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (cbrt.f64 1/2))) (.f64 1/1296 (.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (pow.f64 (cbrt.f64 1/2) 2))) (+.f64 (.f64 -1/27 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)) (fma.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 1/2) (fma.f64 -1/54 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (pow.f64 (cbrt.f64 1/2) 4))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080) (fma.f64 -1/46656 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 1/2) 6)) (.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) -1/9))) (cbrt.f64 1/2)))))) (.f64 1/3 (.f64 1 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080) (fma.f64 -1/46656 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 1/2) 6)) (.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) -1/9)))))))) (pow.f64 y 6) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (fma.f64 1/324 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 1/2) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (cbrt.f64 1/2))) (.f64 1/1296 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4)))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 (fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (cbrt.f64 1/2) -1/2160))) (.f64 1/1296 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (.f64 1/2 (cbrt.f64 1/2))))) (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) -1/27 (fma.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 1/2) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080) (fma.f64 -1/46656 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/19440))) (cbrt.f64 1/2))) (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 1/2 (cbrt.f64 1/2)) -1/2160)) -1/54)))) (.f64 1/3 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080) (fma.f64 -1/46656 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/19440))))))) (pow.f64 y 6) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/324 (fma.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 1/2) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (cbrt.f64 1/2) -1/2160))) (.f64 1/1296 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (.f64 1/2 (cbrt.f64 1/2))))))))) (pow.f64 y 4)))))
(+.f64 (+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (.f64 y y)))) (.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/324 (fma.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (cbrt.f64 1/2)) -1/2160)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (cbrt.f64 1/2)) 1/648)))))) (pow.f64 y 4))) (.f64 (fma.f64 -1/36 (.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 1/2) 2)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (cbrt.f64 1/2)) -1/2160)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (cbrt.f64 1/2)) 1/648))) (fma.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) -1/27 (fma.f64 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (cbrt.f64 1/2)) -1/1080) -1/54) (/.f64 (.f64 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -41/272160) (.f64 -1/11664 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2/3) (cbrt.f64 1/2))))) (cbrt.f64 1/2) (.f64 1/3 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -41/272160) (.f64 -1/11664 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (pow.f64 y 6)))
(pow.f64 (/.f64 (sin.f64 y) y) 1/3)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3))
(fma.f64 1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (.f64 1/6 (*.f64 x x)) 1) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 x 4)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3)))
(fma.f64 1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 1/3 (.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/24) (pow.f64 x 4)) (cbrt.f64 (/.f64 (.f64 y y) (pow.f64 (sin.f64 y) 2)))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(fma.f64 1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/72) (pow.f64 x 4)) (cbrt.f64 (/.f64 y (/.f64 (pow.f64 (sin.f64 y) 2) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 x x)) 1) (cbrt.f64 (/.f64 (sin.f64 y) y))) (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/72) (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 (sin.f64 y) 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 x 4)) (pow.f64 (/.f64 (.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (.f64 1/216 (/.f64 (sin.f64 y) y)) (.f64 1/3 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y)))))) (pow.f64 x 6)))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3))))
(fma.f64 1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 1/3 (.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/24) (pow.f64 x 4)) (cbrt.f64 (/.f64 (.f64 y y) (pow.f64 (sin.f64 y) 2)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 y y) (pow.f64 (sin.f64 y) 2))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 1/720) (fma.f64 1/216 (/.f64 (sin.f64 y) y) (.f64 1/3 (.f64 (/.f64 (sin.f64 y) y) -1/24)))) (pow.f64 x 6))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(fma.f64 1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 (sin.f64 y) y))) (fma.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/72) (pow.f64 x 4)) (cbrt.f64 (/.f64 y (/.f64 (pow.f64 (sin.f64 y) 2) y))) (fma.f64 1/3 (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) -7/2160) (.f64 (/.f64 (sin.f64 y) y) -1/72)) (.f64 (pow.f64 x 6) (cbrt.f64 (/.f64 y (/.f64 (pow.f64 (sin.f64 y) 2) y))))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y y) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/72) (pow.f64 x 4)) (.f64 1/3 (.f64 (.f64 (/.f64 (sin.f64 y) y) 23/2160) (pow.f64 x 6))))) (.f64 (+.f64 (.f64 1/6 (.f64 x x)) 1) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2)))
(fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2)))
(fma.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 1/2) 2) y)) -1/36)))
(.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (cbrt.f64 1/2) (/.f64 (.f64 -1/36 (*.f64 y y)) (pow.f64 (cbrt.f64 1/2) 2))))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))))
(fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))))
(fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (/.f64 (pow.f64 (cbrt.f64 1/2) 2) y))) (fma.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (.f64 (.f64 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)) 1/3))))
(+.f64 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (cbrt.f64 1/2) (/.f64 (.f64 -1/36 (.f64 y y)) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (.f64 1/3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (.f64 -1/2160 (pow.f64 y 4)))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (.f64 -1/9 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (pow.f64 y 6)) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080) (fma.f64 -1/46656 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 1/2) 6)) (.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) -1/9))) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 y 6)))) (fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (.f64 (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080) (fma.f64 -1/46656 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/19440))) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 y 6))) (fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (/.f64 (pow.f64 (cbrt.f64 1/2) 2) y))) (fma.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (.f64 (.f64 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)) 1/3)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (.f64 (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -41/272160) (.f64 -1/11664 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 y 6))) (+.f64 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (cbrt.f64 1/2) (/.f64 (.f64 -1/36 (.f64 y y)) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (.f64 1/3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (.f64 -1/2160 (pow.f64 y 4))))))))

eval625.0ms (5.5%)

Compiler: Compiled 13470 to 6285 computations (53.3% saved)

prune320.0ms (2.8%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	739	15	754
Fresh	7	3	10
Picked	1	0	1
Done	1	3	4
Total	748	21	769

Error

Counts

769 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.7b	(*.f64 (cosh.f64 x) 1)
	18.2b	(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/3) 3)
	16.4b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	31.6b	(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))
▶	32.9b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
	0.6b	(/.f64 (sin.f64 y) y)
	33.5b	(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (fma.f64 -1/6 (.f64 y y) 1))
✓	0.4b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
	1.5b	(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y))))
	16.2b	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
▶	31.8b	(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))
	0.7b	(*.f64 (sin.f64 y) (/.f64 1 y))
▶	0.3b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
	1.1b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
	0.7b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
▶	31.5b	(.f64 (cosh.f64 x) (.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y))))
▶	0.4b	(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x))))
	0.7b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y)))))
	39.9b	(*.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3)))
	33.0b	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))

Compiler

Compiled 525 to 369 computations (29.7% saved)

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series7.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite138.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
399×	`exp-prod_binary64`
305×	`pow-prod-down_binary64`
257×	`pow2_binary64`
180×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	196	17
2	2735	17

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))

Outputs

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

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-+l+_binary64`
507×	`unswap-sqr_binary64`
492×	`times-frac_binary64`
483×	`associate-+r+_binary64`
383×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	677
1	184	673
2	552	611
3	2077	580
4	7185	580

Stop Event

1×	node limit

Counts

138 → 134

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) (/.f64 y x)) x) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) (/.f64 y x)) x) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (/.f64 (sin.f64 y) (/.f64 (/.f64 y (*.f64 x x)) 1/2))) (fma.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))) (/.f64 (sin.f64 y) y)))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 y) (/.f64 (.f64 x x) y)) (/.f64 (sin.f64 y) y)) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (*.f64 y y))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 y y)) (.f64 1/240 (pow.f64 y 4)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (.f64 y -1/12)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (.f64 -1/10080 (pow.f64 y 6)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (+.f64 (.f64 -1/10080 (pow.f64 y 6)) (*.f64 1/240 (pow.f64 y 4)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(fma.f64 y 1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 y 1/6 (*.f64 7/360 (pow.f64 y 3))))
(fma.f64 y 1/6 (fma.f64 7/360 (pow.f64 y 3) (/.f64 1 y)))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3)))))
(+.f64 (fma.f64 y 1/6 (*.f64 7/360 (pow.f64 y 3))) (fma.f64 31/15120 (pow.f64 y 5) (/.f64 1 y)))
(fma.f64 31/15120 (pow.f64 y 5) (fma.f64 y 1/6 (fma.f64 7/360 (pow.f64 y 3) (/.f64 1 y))))

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 x x))

Compiler

Compiled 29 to 17 computations (41.4% saved)

localize72.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x))))
	0.0b	(.f64 1/2 (.f64 x x))
✓	0.0b	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x)))
	0.2b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 44 to 15 computations (65.9% saved)

series13.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x)))
2.0ms	y	@	-inf	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x)))
2.0ms	y	@	0	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x)))
1.0ms	x	@	0	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x)))
1.0ms	x	@	inf	(.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x)))

rewrite220.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
414×	`pow-prod-down_binary64`
410×	`fma-def_binary64`
293×	`pow2_binary64`
230×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	221	33
2	3174	31

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

848×	`unswap-sqr_binary64`
595×	`associate-+l+_binary64`
408×	`associate-+r+_binary64`
345×	`*-commutative_binary64`
338×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	876
1	158	856
2	470	798
3	1933	798
4	5371	798

Stop Event

1×	node limit

Counts

169 → 144

Calls

Call 1

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

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

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 x x))
✓	0.1b	(/.f64 1 (sqrt.f64 y))
✓	0.2b	(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
✓	0.2b	(/.f64 (sin.f64 y) (sqrt.f64 y))

Compiler

Compiled 62 to 27 computations (56.5% saved)

series24.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	y	@	-inf	(/.f64 (sin.f64 y) (sqrt.f64 y))
2.0ms	y	@	-inf	(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
2.0ms	y	@	0	(/.f64 (sin.f64 y) (sqrt.f64 y))
1.0ms	y	@	inf	(/.f64 (sin.f64 y) (sqrt.f64 y))
1.0ms	y	@	-inf	(/.f64 1 (sqrt.f64 y))

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`pow1_binary64`
755×	`add-log-exp_binary64`
755×	`log1p-expm1-u_binary64`
755×	`expm1-log1p-u_binary64`
737×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	165	18
2	2157	18

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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

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

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

743×	`fma-def_binary64`
580×	`div-sub_binary64`
578×	`associate-/l*_binary64`
385×	`associate-*l/_binary64`
377×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	100
1	61	98
2	156	94
3	460	94
4	2017	94
5	7046	94

Stop Event

1×	node limit

Counts

119 → 115

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

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

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	0.2b	(/.f64 (sin.f64 y) (sqrt.f64 y))

Compiler

Compiled 40 to 16 computations (60% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
778×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
758×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	173	9
2	2191	9

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))

Outputs

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary64`
627×	`associate-/l/_binary64`
357×	`*-commutative_binary64`
334×	`distribute-lft-out_binary64`
310×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	108
1	51	106
2	113	102
3	323	102
4	1206	102
5	3097	102
6	4088	102
7	6285	102
8	7083	102
9	7846	102

Stop Event

1×	node limit

Counts

34 → 32

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

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

eval270.0ms (2.4%)

Compiler: Compiled 12107 to 5598 computations (53.8% saved)

prune228.0ms (2%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	661	10	671
Fresh	8	5	13
Picked	1	0	1
Done	2	5	7
Total	672	20	692

Error

Counts

692 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.4b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	19.3b	(/.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (pow.f64 (sin.f64 y) -3)))
✓	32.7b	(*.f64 (cosh.f64 x) 1)
	18.2b	(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/3) 3)
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	33.3b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
▶	0.7b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
▶	0.6b	(/.f64 (sin.f64 y) y)
✓	32.9b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
	31.7b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sin.f64 y))))
✓	0.4b	(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x))))
▶	31.8b	(/.f64 (/.f64 (cosh.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
✓	0.4b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
	31.8b	(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (pow.f64 (sqrt.f64 y) -1/2) (/.f64 (sin.f64 y) (pow.f64 y 1/4)))))
	0.6b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	0.7b	(*.f64 (sin.f64 y) (/.f64 1 y))
	1.1b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
▶	0.5b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (/.f64 y (sin.f64 y))))
	31.8b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
	41.9b	(/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (pow.f64 (sin.f64 y) 3) -1/3))

Compiler

Compiled 475 to 345 computations (27.4% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (/.f64 y (sin.f64 y))))
	0.0b	(.f64 1/2 (.f64 x x))
	0.1b	(/.f64 y (sin.f64 y))
✓	0.2b	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 47 to 22 computations (53.2% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 1 (/.f64 y (sin.f64 y)))
1.0ms	y	@	0	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (/.f64 y (sin.f64 y))))
1.0ms	x	@	inf	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (/.f64 y (sin.f64 y))))
1.0ms	y	@	inf	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (/.f64 y (sin.f64 y))))
0.0ms	y	@	-inf	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (/.f64 y (sin.f64 y))))

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`log-prod_binary64`
358×	`prod-diff_binary64`
316×	`pow2_binary64`
251×	`pow-unpow_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	262	22
2	3471	22

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 (sin.f64 y) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (fma.f64 1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) 2) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (/.f64 (/.f64 y (sin.f64 y)) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1) (*.f64 (/.f64 y (sin.f64 y)) (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (*.f64 (/.f64 y (sin.f64 y)) (fma.f64 1/2 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 (neg.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 (pow.f64 x 4) 1/4 -1)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (fma.f64 1/2 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 1/2 (*.f64 x x))) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) 1) (*.f64 (fma.f64 1/2 (*.f64 x x) -1) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1) -1) (*.f64 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 1/2 (*.f64 x x))) (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) -1) (*.f64 (fma.f64 1/2 (*.f64 x x) -1) (/.f64 (neg.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) 1) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 (neg.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1) (/.f64 (sin.f64 y) y)) (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (/.f64 (sin.f64 y) y)) (fma.f64 1/2 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1)) (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (pow.f64 x 4) 1/4 -1)) (fma.f64 1/2 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) -1) (/.f64 (neg.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (fma.f64 1/2 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (*.f64 x x) 1)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 x x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (/.f64 1 y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (/.f64 1 y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 y) y) 1 (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 y) y) 1 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (sin.f64 y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (sin.f64 y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 y))) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (sin.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) 1) (sin.f64 y) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) 1) (sin.f64 y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (*.f64 x x))))))))

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

839×	`times-frac_binary64`
627×	`associate-+l+_binary64`
566×	`associate-+r+_binary64`
552×	`associate-/l*_binary64`
402×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	681
1	117	629
2	366	591
3	1402	579
4	4219	485

Stop Event

1×	node limit

Counts

178 → 163

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

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.0b	(+.f64 (/.f64 1 y) (*.f64 1/6 y))
✓	0.1b	(/.f64 (/.f64 (cosh.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
✓	0.3b	(*.f64 1/6 y)

Compiler

Compiled 37 to 21 computations (43.2% saved)

series17.0ms (0.2%)

Counts

3 → 27

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/.f64 (/.f64 (cosh.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
3.0ms	x	@	inf	(/.f64 (/.f64 (cosh.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
2.0ms	x	@	0	(/.f64 (/.f64 (cosh.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
2.0ms	x	@	-inf	(/.f64 (/.f64 (cosh.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
2.0ms	y	@	-inf	(/.f64 (/.f64 (cosh.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))

rewrite117.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`prod-diff_binary64`
625×	`log-prod_binary64`
253×	`fma-def_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	245	28
2	3514	28

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

744×	`associate-/l*_binary64`
644×	`associate-/r*_binary64`
572×	`associate-+l+_binary64`
455×	`associate-+r+_binary64`
389×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	984
1	190	946
2	630	780
3	2224	739

Stop Event

1×	node limit

Counts

142 → 144

Calls

Call 1

Inputs
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(+.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)) (.f64 1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y))))
(+.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))) (.f64 1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)))))
(+.f64 (.f64 1/720 (/.f64 (pow.f64 x 6) (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))) (+.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))) (.f64 1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y))))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 -1/432 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (.f64 -648 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 8))))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (.f64 -648 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 8))))))
(/.f64 1 y)
(*.f64 1/6 y)
(*.f64 1/6 y)

Outputs
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(/.f64 1 (*.f64 y (fma.f64 y 1/6 (/.f64 1 y))))
(/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))
(+.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)) (.f64 1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y))))
(+.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (/.f64 (.f64 1/2 (.f64 x x)) (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 x x) y) (fma.f64 y 1/6 (/.f64 1 y))) (/.f64 1 (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))
(fma.f64 1/2 (.f64 (/.f64 x (fma.f64 y (.f64 y 1/6) 1)) x) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))
(fma.f64 1/2 (.f64 x (/.f64 x (fma.f64 y (.f64 y 1/6) 1))) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))
(+.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))) (.f64 1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)))))
(+.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (/.f64 (.f64 1/2 (.f64 x x)) (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))))
(+.f64 (/.f64 1 (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))) (fma.f64 1/2 (/.f64 (/.f64 (.f64 x x) y) (fma.f64 y 1/6 (/.f64 1 y))) (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))))
(fma.f64 1/2 (.f64 (/.f64 x (fma.f64 y (.f64 y 1/6) 1)) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 y 1/6) 1)) (/.f64 1 (fma.f64 y (.f64 y 1/6) 1))))
(+.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) (.f64 (.f64 x (/.f64 x (fma.f64 y 1/6 (/.f64 1 y)))) (+.f64 (/.f64 1/2 y) (.f64 (*.f64 x x) (/.f64 1/24 y)))))
(+.f64 (.f64 1/720 (/.f64 (pow.f64 x 6) (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))) (+.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))) (.f64 1/2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y))))))
(fma.f64 1/720 (/.f64 (pow.f64 x 6) (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (+.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))) (/.f64 (.f64 1/2 (.f64 x x)) (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6)))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (.f64 x x) y) (fma.f64 y 1/6 (/.f64 1 y))) (.f64 1/24 (/.f64 (pow.f64 x 4) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))) (/.f64 1 (*.f64 y (fma.f64 y 1/6 (/.f64 1 y))))))
(fma.f64 1/720 (/.f64 (pow.f64 x 6) (fma.f64 y (.f64 y 1/6) 1)) (fma.f64 1/2 (.f64 (/.f64 x (fma.f64 y (.f64 y 1/6) 1)) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 y 1/6) 1)) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))))
(+.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (fma.f64 y (.f64 y 1/6) 1)) (.f64 (.f64 x (/.f64 x (fma.f64 y 1/6 (/.f64 1 y)))) (+.f64 (/.f64 1/2 y) (.f64 (.f64 x x) (/.f64 1/24 y))))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) y)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y (fma.f64 y 1/6 (/.f64 1 y)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 y (*.f64 y 1/6) 1))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (.f64 -1/12 (*.f64 y y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/72 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/72 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)))))
(fma.f64 (pow.f64 y 4) (fma.f64 (exp.f64 x) 1/72 (/.f64 1/72 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 y (.f64 y -1/12)) (.f64 1/72 (pow.f64 y 4)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 -1/432 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 -1/432 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (fma.f64 1/72 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 -1/432 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 1/72 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (.f64 y -1/12)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/72 (pow.f64 y 4)) (.f64 -1/432 (pow.f64 y 6)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (.f64 y (.f64 y -1/12))) (+.f64 (.f64 1/72 (pow.f64 y 4)) (*.f64 -1/432 (pow.f64 y 6)))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)))
(/.f64 (fma.f64 (exp.f64 x) 3 (/.f64 3 (exp.f64 x))) (*.f64 y y))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y))))
(fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4))))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 (/.f64 -18 (*.f64 y y)) 3))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 3 (.f64 y y)) (/.f64 -18 (pow.f64 y 4))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)))))
(fma.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 (/.f64 -18 (*.f64 y y)) 3)))
(fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 -18 (pow.f64 y 4)) (/.f64 108 (pow.f64 y 6)))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (.f64 -648 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 8))))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (.f64 -648 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 8))))))
(+.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 (/.f64 -18 (*.f64 y y)) 3)) (fma.f64 -648 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 8)) (/.f64 (fma.f64 (exp.f64 x) 108 (/.f64 108 (exp.f64 x))) (pow.f64 y 6))))
(+.f64 (/.f64 (fma.f64 (exp.f64 x) 108 (/.f64 108 (exp.f64 x))) (pow.f64 y 6)) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 (+.f64 3 (/.f64 -18 (*.f64 y y))) (/.f64 -648 (pow.f64 y 6)))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)))
(/.f64 (fma.f64 (exp.f64 x) 3 (/.f64 3 (exp.f64 x))) (*.f64 y y))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y))))
(fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4))))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 (/.f64 -18 (*.f64 y y)) 3))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 3 (.f64 y y)) (/.f64 -18 (pow.f64 y 4))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)))))
(fma.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 (/.f64 -18 (*.f64 y y)) 3)))
(fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 -18 (pow.f64 y 4)) (/.f64 108 (pow.f64 y 6)))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (.f64 -648 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 8))))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (.f64 -648 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 8))))))
(+.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 (/.f64 -18 (*.f64 y y)) 3)) (fma.f64 -648 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 8)) (/.f64 (fma.f64 (exp.f64 x) 108 (/.f64 108 (exp.f64 x))) (pow.f64 y 6))))
(+.f64 (/.f64 (fma.f64 (exp.f64 x) 108 (/.f64 108 (exp.f64 x))) (pow.f64 y 6)) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 (+.f64 3 (/.f64 -18 (*.f64 y y))) (/.f64 -648 (pow.f64 y 6)))))
(/.f64 1 y)
(*.f64 1/6 y)
(*.f64 y 1/6)
(*.f64 1/6 y)
(*.f64 y 1/6)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
✓	0.0b	(sqrt.f64 (/.f64 (sin.f64 y) y))
✓	0.2b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
	0.2b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 55 to 24 computations (56.4% saved)

series15.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
3.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
2.0ms	y	@	0	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
1.0ms	y	@	-inf	(sqrt.f64 (/.f64 (sin.f64 y) y))
1.0ms	y	@	inf	(sqrt.f64 (/.f64 (sin.f64 y) y))

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log-prod_binary64`
349×	`prod-diff_binary64`
320×	`pow2_binary64`
246×	`fma-def_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	296	30
2	3383	30

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

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

Outputs

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

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

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

657×	`associate-+l+_binary64`
584×	`associate-+r+_binary64`
331×	`times-frac_binary64`
323×	`*-commutative_binary64`
308×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	685
1	163	631
2	512	589
3	2001	577
4	6114	492

Stop Event

1×	node limit

Counts

206 → 201

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 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 y 2)) (.f64 1/1440 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -1/24192 (pow.f64 y 6)) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))
(.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))
(.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))
(.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/12))
(fma.f64 (*.f64 y y) -1/12 1)
(fma.f64 y (*.f64 y -1/12) 1)
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 y 2)) (.f64 1/1440 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/12 (.f64 y y) (.f64 (pow.f64 y 4) 1/1440)))
(+.f64 (fma.f64 (.f64 y y) -1/12 1) (.f64 (pow.f64 y 4) 1/1440))
(fma.f64 y (*.f64 y -1/12) (fma.f64 (pow.f64 y 4) 1/1440 1))
(+.f64 1 (+.f64 (.f64 -1/24192 (pow.f64 y 6)) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/24192 (pow.f64 y 6) (fma.f64 -1/12 (.f64 y y) (.f64 (pow.f64 y 4) 1/1440))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/24192 (fma.f64 (.f64 y y) -1/12 (.f64 (pow.f64 y 4) 1/1440))))
(fma.f64 (pow.f64 y 6) -1/24192 (fma.f64 y (*.f64 y -1/12) (fma.f64 (pow.f64 y 4) 1/1440 1)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (*.f64 x x)))
(.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (*.f64 x x)) (/.f64 1/2 y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (*.f64 x x)))
(.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (*.f64 x x)) (/.f64 1/2 y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/6 (.f64 (.f64 y y) (+.f64 1 (.f64 1/2 (.f64 x x)))) (+.f64 1 (.f64 1/2 (.f64 x x))))
(fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (fma.f64 1/2 (*.f64 x x) 1))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 -1/6 (.f64 (.f64 y y) (+.f64 1 (.f64 1/2 (.f64 x x)))) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (pow.f64 y 4) (+.f64 1 (.f64 1/2 (*.f64 x x))))))))
(+.f64 (fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) (fma.f64 1/2 (.f64 x x) 1)) (.f64 1/120 (.f64 (pow.f64 y 4) (fma.f64 1/2 (*.f64 x x) 1))))
(fma.f64 (.f64 y y) (+.f64 -1/6 (.f64 -1/12 (.f64 x x))) (.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(fma.f64 -1/6 (.f64 (.f64 y y) (+.f64 1 (.f64 1/2 (.f64 x x)))) (+.f64 1 (fma.f64 -1/5040 (.f64 (pow.f64 y 6) (+.f64 1 (.f64 1/2 (.f64 x x)))) (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (pow.f64 y 4) (+.f64 1 (.f64 1/2 (.f64 x x)))))))))
(+.f64 (fma.f64 -1/5040 (.f64 (pow.f64 y 6) (fma.f64 1/2 (.f64 x x) 1)) (fma.f64 1/120 (.f64 (pow.f64 y 4) (fma.f64 1/2 (.f64 x x) 1)) (.f64 1/2 (.f64 x x)))) (fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1))) 1))
(+.f64 (.f64 (fma.f64 -1/6 (.f64 y y) 1) (fma.f64 1/2 (.f64 x x) 1)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6)))))
(+.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))
(.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 x x) 1))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 y (sin.f64 y))
✓	0.2b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
✓	0.3b	(cbrt.f64 (/.f64 y (sin.f64 y)))
✓	0.4b	(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)

Compiler

Compiled 35 to 12 computations (65.7% saved)

series8.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
1.0ms	x	@	inf	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
390×	`exp-prod_binary64`
280×	`pow-prod-down_binary64`
256×	`pow2_binary64`
177×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	222	25
2	2720	25

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(cbrt.f64 (/.f64 y (sin.f64 y)))
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/6) (pow.f64 (/.f64 y (sin.f64 y)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) -1/2) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (sin.f64 y)) 5/6) (pow.f64 (/.f64 y (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2)) 1) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 y) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2)) (cbrt.f64 y)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 y (sin.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (sin.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (sin.f64 y)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 y (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 y (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))) (cbrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/6) (pow.f64 (/.f64 y (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) 1) 1))))))

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-+l+_binary64`
494×	`associate-+r+_binary64`
492×	`times-frac_binary64`
384×	`associate-/l*_binary64`
347×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	726
1	201	720
2	596	654
3	2137	623
4	7119	617

Stop Event

1×	node limit

Counts

195 → 193

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 1/18 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 11/3240 (pow.f64 y 4)) (.f64 1/18 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 61/244944 (pow.f64 y 6)) (+.f64 (.f64 11/3240 (pow.f64 y 4)) (*.f64 1/18 (pow.f64 y 2)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4)))))
(fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1)))
1
(+.f64 1 (*.f64 1/18 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/18))
(fma.f64 (*.f64 y y) 1/18 1)
(fma.f64 y (*.f64 y 1/18) 1)
(+.f64 1 (+.f64 (.f64 11/3240 (pow.f64 y 4)) (.f64 1/18 (pow.f64 y 2))))
(+.f64 1 (fma.f64 11/3240 (pow.f64 y 4) (.f64 (.f64 y y) 1/18)))
(+.f64 1 (fma.f64 (.f64 y y) 1/18 (.f64 (pow.f64 y 4) 11/3240)))
(fma.f64 y (*.f64 y 1/18) (fma.f64 (pow.f64 y 4) 11/3240 1))
(+.f64 1 (+.f64 (.f64 61/244944 (pow.f64 y 6)) (+.f64 (.f64 11/3240 (pow.f64 y 4)) (*.f64 1/18 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 61/244944 (pow.f64 y 6) (fma.f64 11/3240 (pow.f64 y 4) (.f64 (.f64 y y) 1/18))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 61/244944 (fma.f64 (.f64 y y) 1/18 (.f64 (pow.f64 y 4) 11/3240))))
(fma.f64 (pow.f64 y 6) 61/244944 (fma.f64 y (*.f64 y 1/18) (fma.f64 (pow.f64 y 4) 11/3240 1)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 (/.f64 (sin.f64 y) y) (*.f64 1/720 (pow.f64 x 6)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (/.f64 y (sin.f64 y))) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (/.f64 (sin.f64 y) y)) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (pow.f64 y 4) (fma.f64 (exp.f64 x) 1/240 (/.f64 1/240 (exp.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (*.f64 y -1/12)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (.f64 y (.f64 y -1/12)) (.f64 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 6) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 y (.f64 y -1/12)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (pow.f64 y 4) 1/240) (.f64 (pow.f64 y 6) -1/10080))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 (.f64 (pow.f64 y 4) 1/240) (.f64 (pow.f64 y 6) -1/10080)) (+.f64 1/2 (.f64 y (*.f64 y -1/12)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y))

eval470.0ms (4.1%)

Compiler: Compiled 16033 to 8071 computations (49.7% saved)

prune177.0ms (1.5%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	914	9	923
Fresh	4	6	10
Picked	1	0	1
Done	2	7	9
Total	921	22	943

Error

Counts

943 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	31.9b	(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
✓	32.7b	(*.f64 (cosh.f64 x) 1)
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	33.3b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
	32.0b	(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
✓	0.6b	(/.f64 (sin.f64 y) y)
✓	32.9b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
	16.5b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
	31.7b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sin.f64 y))))
✓	0.4b	(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x))))
	32.1b	(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
	1.0b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)))
✓	0.4b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
	32.9b	1
	31.8b	(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (pow.f64 (sqrt.f64 y) -1/2) (/.f64 (sin.f64 y) (pow.f64 y 1/4)))))
	0.6b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	0.7b	(*.f64 (/.f64 1 y) (sin.f64 y))
	20.5b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	16.5b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (pow.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2))
✓	0.5b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (/.f64 y (sin.f64 y))))
	41.9b	(/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (pow.f64 (sin.f64 y) 3) -1/3))
	1.1b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)

Compiler

Compiled 280 to 206 computations (26.4% saved)

regimes389.0ms (3.4%)

Counts

51 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (/.f64 y (sin.f64 y))))
(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (fma.f64 -1/6 (.f64 y y) 1))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(.f64 (cosh.f64 x) (fma.f64 -1/6 (.f64 y y) 1))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 x x) (+.f64 1/2 (.f64 (*.f64 x x) 1/24)))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/3) 3)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (pow.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sin.f64 y))))
(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (pow.f64 (sin.f64 y) -3)))
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
(*.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3)))
(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (pow.f64 (sin.f64 y) 3) -1/3))
(.f64 (cosh.f64 x) (.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(.f64 (sin.f64 y) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y))))
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (pow.f64 (sqrt.f64 y) -1/2) (/.f64 (sin.f64 y) (pow.f64 y 1/4)))))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y)))))

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

Calls

5 calls:

108.0ms	(/.f64 (sin.f64 y) y)
95.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
85.0ms	y
59.0ms	x
7.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
0.2b	1	`(cosh.f64 x)`
0.2b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 600 to 271 computations (54.8% saved)

regimes88.0ms (0.8%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	y
20.0ms	(/.f64 (sin.f64 y) y)
19.0ms	x
17.0ms	(/.f64 (sin.f64 y) y)
5.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(cosh.f64 x)`
0.2b	1	`(/.f64 (sin.f64 y) y)`
0.2b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 158 to 88 computations (44.3% saved)

regimes129.0ms (1.1%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))

Calls

5 calls:

68.0ms	x
24.0ms	(/.f64 (sin.f64 y) y)
17.0ms	y
7.0ms	(cosh.f64 x)
4.0ms	(cosh.f64 x)

Results

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

Compiler

Compiled 142 to 85 computations (40.1% saved)

regimes78.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	(/.f64 (sin.f64 y) y)
16.0ms	y
15.0ms	x
4.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.6b	1	`x`
0.6b	1	`y`
0.6b	1	`(cosh.f64 x)`
0.6b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 98 to 60 computations (38.8% saved)

regimes101.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

90.0ms	y
9.0ms	x

Results

Error	Segments	Branch
32.0b	1	`x`
32.0b	1	`y`

Compiler

Compiled 40 to 30 computations (25% saved)

regimes47.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)

Outputs
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)

Calls

2 calls:

38.0ms	x
7.0ms	y

Results

Error	Segments	Branch
32.9b	1	`x`
32.9b	1	`y`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	73
1	30	73

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (*.f64 x x)) 1))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
(+.f64 (.f64 1/2 (.f64 x x)) 1)
1

Compiler

Compiled 63 to 46 computations (27% saved)

soundness0.0ms (0%)

end83.0ms (0.7%)

Compiler: Compiled 51 to 27 computations (47.1% saved)