Details

analyze206.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample5.0s (46.6%)

Results

1.4s	2031×	body	1024	valid
1.1s	1930×	body	1024	invalid
1.1s	5189×	body	256	valid
490.0ms	1034×	body	512	valid
408.0ms	1529×	body	256	invalid
339.0ms	941×	body	512	invalid
1.0ms	2×	body	2048	valid

preprocess82.0ms (0.8%)

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)

simplify87.0ms (0.8%)

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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.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)

localize11.0ms (0.1%)

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)

series12.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite68.0ms (0.6%)

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)))))))))

simplify65.0ms (0.6%)

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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series63.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
58.0ms	x	@	-inf	(/.f64 (cosh.f64 x) y)
1.0ms	y	@	0	(/.f64 (cosh.f64 x) y)
1.0ms	x	@	inf	(/.f64 (cosh.f64 x) y)
1.0ms	y	@	-inf	(/.f64 (cosh.f64 x) y)
1.0ms	x	@	0	(/.f64 (cosh.f64 x) y)

rewrite62.0ms (0.6%)

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)))))))

simplify163.0ms (1.5%)

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)))))
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(/.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)

eval47.0ms (0.4%)

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

prune76.0ms (0.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	151	13	164
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	151	15	166

Error

0.0b

Counts

166 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	33.5b	(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))
▶	1.4b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
	1.6b	(/.f64 (sin.f64 y) y)
	20.0b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	33.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	1.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	1.3b	(.f64 (sin.f64 y) (fma.f64 1/2 (.f64 x (/.f64 x y)) (/.f64 1 y)))
	1.7b	(*.f64 (sin.f64 y) (/.f64 1 y))
	1.0b	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
▶	1.2b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
▶	33.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶	31.2b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 318 to 222 computations (30.2% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.3b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite134.0ms (1.3%)

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))))))))

simplify66.0ms (0.6%)

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)))

localize5.0ms (0%)

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 18 computations (53.8% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	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))
1.0ms	x	@	inf	(.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 (0.8%)

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

Outputs

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(/.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 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(/.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))))))))

simplify57.0ms (0.5%)

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	4918	479

Stop Event

1×	node limit

Counts

150 → 130

Calls

Call 1

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.2b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
✓	0.6b	(cbrt.f64 (/.f64 (cosh.f64 x) y))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)

Compiler

Compiled 35 to 12 computations (65.7% saved)

series28.0ms (0.3%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
3.0ms	y	@	-inf	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
2.0ms	x	@	0	(cbrt.f64 (/.f64 (cosh.f64 x) y))

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`pow1_binary64`
911×	`add-log-exp_binary64`
910×	`log1p-expm1-u_binary64`
910×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	216	25
2	2470	25

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

766×	`distribute-rgt-in_binary64`
680×	`fma-def_binary64`
677×	`times-frac_binary64`
441×	`associate-l_binary64`
435×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1222
1	354	1165
2	1159	1056
3	5326	1002

Stop Event

1×	node limit

Counts

144 → 133

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 y))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (/.f64 1 y)))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (.f64 -1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 y))))) (pow.f64 x 4)) (.f64 (pow.f64 1 1/3) (/.f64 1 y))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (.f64 -1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 y))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 -1/216 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 23/3240 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (+.f64 (.f64 23/6480 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))))) (.f64 -1/216 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))))) (pow.f64 x 6)) (.f64 (pow.f64 1 1/3) (/.f64 1 y)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(pow.f64 (/.f64 1 y) 1/3)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3)))
(+.f64 (.f64 23/6480 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 6))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.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 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))

Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 y))
(/.f64 1 y)
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (/.f64 1 y)))
(fma.f64 (.f64 (/.f64 1 y) 1/2) (.f64 x x) (/.f64 1 y))
(fma.f64 (/.f64 1/2 y) (*.f64 x x) (/.f64 1 y))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (.f64 -1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 y))))) (pow.f64 x 4)) (.f64 (pow.f64 1 1/3) (/.f64 1 y))))
(fma.f64 (.f64 (/.f64 1 y) 1/2) (.f64 x x) (fma.f64 (fma.f64 1/18 (/.f64 1 y) (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 0) (*.f64 (/.f64 1 y) -1/72))) (pow.f64 x 4) (/.f64 1 y)))
(fma.f64 (/.f64 1/2 y) (*.f64 x x) (fma.f64 (+.f64 (/.f64 1/18 y) (fma.f64 (cbrt.f64 (/.f64 1 y)) 0 (/.f64 -1/72 y))) (pow.f64 x 4) (/.f64 1 y)))
(fma.f64 (/.f64 1/2 y) (.f64 x x) (fma.f64 (+.f64 0 (.f64 (/.f64 1 y) 1/24)) (pow.f64 x 4) (/.f64 1 y)))
(fma.f64 (/.f64 1/2 y) (.f64 x x) (fma.f64 (pow.f64 x 4) (.f64 (/.f64 1 y) 1/24) (/.f64 1 y)))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (.f64 -1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 y))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 -1/216 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 23/3240 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (+.f64 (.f64 23/6480 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))))) (.f64 -1/216 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))))) (pow.f64 x 6)) (.f64 (pow.f64 1 1/3) (/.f64 1 y)))))
(fma.f64 (.f64 (/.f64 1 y) 1/2) (.f64 x x) (fma.f64 (fma.f64 1/18 (/.f64 1 y) (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 0) (.f64 (/.f64 1 y) -1/72))) (pow.f64 x 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 1/405) (fma.f64 23/6480 (/.f64 1 y) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 0)) (*.f64 (/.f64 1 y) -1/216)))) (pow.f64 x 6) (/.f64 1 y))))
(fma.f64 (/.f64 1/2 y) (.f64 x x) (fma.f64 (+.f64 (/.f64 1/18 y) (fma.f64 (cbrt.f64 (/.f64 1 y)) 0 (/.f64 -1/72 y))) (pow.f64 x 4) (fma.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1 y)) 0) (/.f64 -1/216 y)) (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 1/405) (/.f64 23/6480 y))) (pow.f64 x 6) (/.f64 1 y))))
(fma.f64 (/.f64 1/2 y) (.f64 x x) (fma.f64 (+.f64 0 (.f64 (/.f64 1 y) 1/24)) (pow.f64 x 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 1/405) (+.f64 0 (*.f64 (/.f64 1 y) -7/6480))) (pow.f64 x 6) (/.f64 1 y))))
(fma.f64 (/.f64 1/2 y) (.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 1/405) (.f64 (/.f64 1 y) -7/6480)) (pow.f64 x 6) (fma.f64 (pow.f64 x 4) (*.f64 (/.f64 1 y) 1/24) (/.f64 1 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 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)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 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)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 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)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 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)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 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)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 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)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 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)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(pow.f64 (/.f64 1 y) 1/3)
(cbrt.f64 (/.f64 1 y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))
(fma.f64 1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (/.f64 1 y)))
(.f64 (+.f64 (.f64 1/6 (*.f64 x x)) 1) (cbrt.f64 (/.f64 1 y)))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3)))
(fma.f64 -1/72 (.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 x 4)) (fma.f64 1/6 (.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (/.f64 1 y))))
(+.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 (.f64 1/6 (.f64 x x)) (.f64 -1/72 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 (.f64 1/6 (.f64 x x)) (+.f64 (.f64 -1/72 (pow.f64 x 4)) 1)))
(+.f64 (.f64 23/6480 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 6))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))))
(fma.f64 23/6480 (.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 x 6)) (fma.f64 -1/72 (.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 x 4)) (fma.f64 1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (/.f64 1 y)))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 x x)) 1) (cbrt.f64 (/.f64 1 y))) (.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 (.f64 -1/72 (pow.f64 x 4)) (.f64 23/6480 (pow.f64 x 6)))))
(+.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 (.f64 1/6 (.f64 x x)) (+.f64 (.f64 -1/72 (pow.f64 x 4)) (*.f64 23/6480 (pow.f64 x 6))))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (cbrt.f64 1/2))
(*.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 (+.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 (pow.f64 y 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 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 y (.f64 y -1/12)) (.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 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (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 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (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 (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 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 y (.f64 y -1/12))) (+.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 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 (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 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(+.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 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (.f64 x x) 1/2) (.f64 (pow.f64 x 4) 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 (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 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (/.f64 1/720 (/.f64 y (*.f64 (pow.f64 x 6) (sin.f64 y))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) (.f64 (/.f64 (*.f64 (sin.f64 y) 1/720) y) (pow.f64 x 6)))))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 (.f64 x x) 1/2))) (.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (pow.f64 x 4) 1/24) (.f64 (pow.f64 x 6) 1/720))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.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))

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 8 computations (76.5% saved)

series25.0ms (0.2%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))
2.0ms	y	@	0	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))
2.0ms	y	@	-inf	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
2.0ms	y	@	inf	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))
2.0ms	x	@	inf	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y))

rewrite114.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
434×	`exp-prod_binary64`
331×	`pow-prod-down_binary64`
261×	`pow2_binary64`
200×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	194	32
2	2791	32

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

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

Outputs

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

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Rules

884×	`times-frac_binary64`
715×	`associate-/l*_binary64`
604×	`fma-def_binary64`
466×	`distribute-lft-out_binary64`
367×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1544
1	297	1542
2	962	1382
3	4004	1305

Stop Event

1×	node limit

Counts

209 → 193

Calls

Call 1

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

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

eval368.0ms (3.5%)

Compiler: Compiled 10560 to 4768 computations (54.8% saved)

prune240.0ms (2.2%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	610	20	630
Fresh	8	0	8
Picked	1	0	1
Done	2	4	6
Total	621	24	645

Error

Counts

645 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	1.3b	(.f64 (sin.f64 y) (fma.f64 (/.f64 1/2 y) (.f64 x x) (/.f64 1 y)))
✓	0.4b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	1.8b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
	2.8b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
	1.5b	(.f64 (.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
▶	31.7b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
	33.4b	(.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 y 1/4)) (pow.f64 y -3/4))
	1.6b	(/.f64 (sin.f64 y) y)
	20.6b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	34.0b	(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	33.5b	(.f64 (pow.f64 y -1/2) (.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cosh.f64 x)))
▶	34.7b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	31.2b	(*.f64 (cosh.f64 x) 1)
	60.7b	(.f64 x (.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 y)))
	15.4b	(/.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2))
▶	0.3b	(*.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))
	1.7b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	1.2b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
▶	1.3b	(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 1 y) (sin.f64 y)))
	0.5b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	2.3b	(.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))))
	30.1b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1))
▶	0.8b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))

Compiler

Compiled 592 to 429 computations (27.5% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

series5.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

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

rewrite126.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
363×	`pow-prod-down_binary64`
277×	`pow2_binary64`
196×	`pow1/3_binary64`
190×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	217	25
2	3006	25

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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(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 (*.f64 (cosh.f64 x) (sin.f64 y)) 3) (pow.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 (*.f64 3 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 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 (*.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1) 1))))))

((#(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 (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 (sin.f64 y)) -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 (sqrt.f64 (sin.f64 y)) -2)))) (#(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 (neg.f64 (neg.f64 (sin.f64 y))) -1)))) (#(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))))))

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

583×	`times-frac_binary64`
508×	`unswap-sqr_binary64`
498×	`associate-/l*_binary64`
490×	`fma-def_binary64`
325×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1227
1	247	1223
2	780	1103
3	3169	1045
4	6996	1045

Stop Event

1×	node limit

Counts

202 → 191

Calls

Call 1

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

localize10.0ms (0.1%)

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)

localize57.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 25 computations (45.7% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary64`
409×	`pow-prod-down_binary64`
340×	`prod-diff_binary64`
307×	`pow2_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	254	22
2	3215	22

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

simplify63.0ms (0.6%)

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

143 → 127

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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite131.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
680×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
680×	`expm1-log1p-u_binary64`
664×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	129	14
2	1831	14

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (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 (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 (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 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y -1/2)))))) (#(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 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (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 (/.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 1 (pow.f64 y 1/4)) (/.f64 (sin.f64 y) (pow.f64 y 1/4)))))) (#(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 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 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) (*.f64 (pow.f64 y -1/2) (pow.f64 y -1/2)))))) (#(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) (sqrt.f64 y)) (pow.f64 y -1/2))))) (#(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 (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 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (pow.f64 y -1/2)))))) (#(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 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 1 (neg.f64 (sqrt.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 (/.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 (sin.f64 y) (cbrt.f64 y)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sqrt.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 (sin.f64 y) 1) (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) 1) (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (pow.f64 y 1/4)) (/.f64 (pow.f64 y -1/2) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (pow.f64 y 1/4)))))) (#(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 1 (/.f64 (sin.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (neg.f64 (sqrt.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 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 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)))))))

simplify63.0ms (0.6%)

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

86 → 83

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)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 y (sin.f64 y))
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
✓	0.3b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
✓	0.5b	(cbrt.f64 (/.f64 y (sin.f64 y)))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series18.0ms (0.2%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	y	@	inf	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
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	x	@	inf	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
390×	`exp-prod_binary64`
281×	`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
(cbrt.f64 (/.f64 y (sin.f64 y)))
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)

Outputs

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((#(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 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) 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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)))))))

((#(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 1) (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 (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)))))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-+l+_binary64`
492×	`times-frac_binary64`
489×	`associate-+r+_binary64`
382×	`associate-/l*_binary64`
352×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	726
1	201	720
2	596	654
3	2143	623
4	7159	617

Stop Event

1×	node limit

Counts

195 → 193

Calls

Call 1

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

eval195.0ms (1.8%)

Compiler: Compiled 10438 to 5017 computations (51.9% saved)

prune188.0ms (1.8%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	677	15	692
Fresh	12	3	15
Picked	1	0	1
Done	2	6	8
Total	692	24	716

Error

Counts

716 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
	60.7b	(.f64 x (.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) x)))
✓	31.7b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
▶	20.8b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
✓	1.3b	(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 1 y) (sin.f64 y)))
▶	1.4b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (/.f64 y (sin.f64 y))))
	34.6b	(.f64 (sin.f64 y) (.f64 (pow.f64 y -1/2) (pow.f64 y -1/2)))
	0.5b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	2.7b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
	30.3b	(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
✓	34.7b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	2.2b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
	34.2b	(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
✓	31.2b	(*.f64 (cosh.f64 x) 1)
	1.7b	(*.f64 (/.f64 1 y) (sin.f64 y))
▶	15.4b	(/.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2))
	1.3b	(.f64 (sin.f64 y) (fma.f64 (/.f64 1/2 y) (.f64 x x) (/.f64 1 y)))
	31.9b	1
▶	1.6b	(/.f64 (sin.f64 y) y)
	0.4b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
	20.6b	(.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (.f64 (cosh.f64 x) (sin.f64 y)) 3)))
	34.6b	(*.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))

Compiler

Compiled 461 to 337 computations (26.9% saved)

localize12.0ms (0.1%)

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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (0.7%)

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	14
1	196	11
2	2735	11

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

981×	`fma-def_binary64`
559×	`associate-+l+_binary64`
492×	`times-frac_binary64`
466×	`associate-+r+_binary64`
382×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	622
1	148	620
2	454	562
3	1687	523
4	7412	523

Stop Event

1×	node limit

Counts

93 → 86

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))

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

localize7.0ms (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)

localize17.0ms (0.2%)

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))
✓	0.3b	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 47 to 22 computations (53.2% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite80.0ms (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)))) 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simplify57.0ms (0.5%)

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))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
	0.2b	(/.f64 (sin.f64 y) y)
✓	20.0b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
625×	`add-log-exp_binary64`
625×	`log1p-expm1-u_binary64`
625×	`expm1-log1p-u_binary64`
608×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	155	15
2	1734	15

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

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

simplify138.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/l/_binary64`
580×	`unswap-sqr_binary64`
572×	`fma-def_binary64`
528×	`associate-l_binary64`
455×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	276
1	97	270
2	260	264
3	867	240
4	4339	240

Stop Event

1×	node limit

Counts

102 → 94

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))

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 y (sin.f64 y)))
✓	0.1b	(/.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2))
✓	0.1b	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
	0.1b	(/.f64 y (sin.f64 y))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series67.0ms (0.6%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
61.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
1.0ms	y	@	-inf	(sqrt.f64 (/.f64 y (sin.f64 y)))
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
1.0ms	y	@	inf	(sqrt.f64 (/.f64 y (sin.f64 y)))

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary64`
378×	`exp-prod_binary64`
327×	`prod-exp_binary64`
272×	`pow-prod-down_binary64`
252×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	219	25
2	2635	25

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(/.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2))
(sqrt.f64 (/.f64 y (sin.f64 y)))

Outputs

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

793×	`times-frac_binary64`
604×	`associate-+l+_binary64`
595×	`associate-/l*_binary64`
494×	`associate-+r+_binary64`
450×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	724
1	223	718
2	675	654
3	2525	623

Stop Event

1×	node limit

Counts

202 → 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 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 (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)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
1
(+.f64 (*.f64 1/12 (pow.f64 y 2)) 1)
(+.f64 (.f64 1/12 (pow.f64 y 2)) (+.f64 1 (.f64 1/160 (pow.f64 y 4))))
(+.f64 (.f64 1/12 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 61/120960 (pow.f64 y 6)) (*.f64 1/160 (pow.f64 y 4)))))

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)))
(/.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 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 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/720 (.f64 (/.f64 (pow.f64 x 6) y) (sin.f64 y)) (.f64 (/.f64 1/24 y) (*.f64 (sin.f64 y) (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/720 (.f64 (/.f64 (pow.f64 x 6) 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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 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 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -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 (pow.f64 y 4) 1/240) (.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 (.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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(/.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (*.f64 1/12 (pow.f64 y 2)) 1)
(fma.f64 1/12 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) 1/12 1)
(fma.f64 y (*.f64 y 1/12) 1)
(+.f64 (.f64 1/12 (pow.f64 y 2)) (+.f64 1 (.f64 1/160 (pow.f64 y 4))))
(+.f64 (fma.f64 1/12 (.f64 y y) 1) (.f64 (pow.f64 y 4) 1/160))
(fma.f64 (*.f64 y y) 1/12 (fma.f64 (pow.f64 y 4) 1/160 1))
(fma.f64 (pow.f64 y 4) 1/160 (fma.f64 (*.f64 y y) 1/12 1))
(fma.f64 (pow.f64 y 4) 1/160 (fma.f64 y (*.f64 y 1/12) 1))
(+.f64 (.f64 1/12 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 61/120960 (pow.f64 y 6)) (*.f64 1/160 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/12 (.f64 y y) 1) (fma.f64 61/120960 (pow.f64 y 6) (.f64 (pow.f64 y 4) 1/160)))
(+.f64 (fma.f64 (.f64 y y) 1/12 1) (fma.f64 (pow.f64 y 6) 61/120960 (.f64 (pow.f64 y 4) 1/160)))
(fma.f64 y (*.f64 y 1/12) (fma.f64 (pow.f64 y 4) 1/160 (fma.f64 (pow.f64 y 6) 61/120960 1)))

eval257.0ms (2.4%)

Compiler: Compiled 11978 to 5509 computations (54% saved)

prune192.0ms (1.8%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	803	7	810
Fresh	6	7	13
Picked	1	0	1
Done	2	8	10
Total	812	22	834

Error

Counts

834 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	16.4b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)))
	1.7b	(*.f64 (/.f64 1 y) (sin.f64 y))
	20.9b	(/.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (pow.f64 (sin.f64 y) -3)))
✓	1.2b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y))
	60.7b	(.f64 x (.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) x)))
✓	31.7b	(.f64 (+.f64 (.f64 1/2 (*.f64 x x)) 1) 1)
✓	20.8b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	1.5b	(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (/.f64 1 (.f64 (/.f64 1 (sin.f64 y)) y)))
	1.8b	(/.f64 1 (/.f64 y (sin.f64 y)))
	34.6b	(.f64 (sin.f64 y) (.f64 (pow.f64 y -1/2) (pow.f64 y -1/2)))
✓	34.7b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	2.2b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	1.3b	(.f64 (sin.f64 y) (fma.f64 (/.f64 1/2 y) (.f64 x x) (/.f64 1 y)))
	31.9b	1
✓	1.3b	(.f64 (+.f64 (.f64 1/2 (.f64 x x)) 1) (.f64 (/.f64 1 y) (sin.f64 y)))
✓	1.6b	(/.f64 (sin.f64 y) y)
	0.4b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
	20.6b	(.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (.f64 (cosh.f64 x) (sin.f64 y)) 3)))
✓	31.2b	(*.f64 (cosh.f64 x) 1)
	34.6b	(*.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))

Compiler

Compiled 245 to 183 computations (25.3% saved)

regimes256.0ms (2.4%)

Counts

57 → 1

Calls

Call 1

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

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

Calls

5 calls:

101.0ms	y
59.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
47.0ms	x
22.0ms	(/.f64 (sin.f64 y) y)
4.0ms	(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 602 to 283 computations (53% saved)

regimes155.0ms (1.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

48.0ms	(/.f64 (sin.f64 y) y)
46.0ms	x
23.0ms	y
20.0ms	(/.f64 (sin.f64 y) y)
7.0ms	(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 199 to 107 computations (46.2% saved)

regimes161.0ms (1.5%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

77.0ms	(/.f64 (sin.f64 y) y)
25.0ms	y
22.0ms	x
20.0ms	(/.f64 (sin.f64 y) y)
5.0ms	(cosh.f64 x)

Results

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

Compiler

Compiled 192 to 105 computations (45.3% saved)

regimes78.0ms (0.7%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

24.0ms	(/.f64 (sin.f64 y) y)
21.0ms	y
9.0ms	x
6.0ms	(cosh.f64 x)
5.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.2b	1	`x`
1.2b	1	`y`
1.2b	1	`(cosh.f64 x)`
1.2b	1	`(cosh.f64 x)`
1.2b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 183 to 103 computations (43.7% saved)

regimes57.0ms (0.5%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	(/.f64 (sin.f64 y) y)
11.0ms	x
8.0ms	y
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.6b	1	`x`
1.6b	1	`y`
1.6b	1	`(cosh.f64 x)`
1.6b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 107 to 61 computations (43% saved)

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
1
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:

4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
31.7b	1	`x`
31.7b	1	`y`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes72.0ms (0.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
1
1

Outputs
1

Calls

2 calls:

68.0ms	y
3.0ms	x

Results

Error	Segments	Branch
31.9b	1	`x`
31.9b	1	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	26	68

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 59 to 42 computations (28.8% saved)

soundness0.0ms (0%)

end41.0ms (0.4%)

Compiler: Compiled 47 to 21 computations (55.3% saved)