Details

analyze153.0ms (1.8%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.6s (42.6%)

Results

1.0s	2005×	body	1024	valid
903.0ms	5233×	body	256	valid
819.0ms	2050×	body	1024	infinite
291.0ms	1014×	body	512	valid
271.0ms	1001×	body	512	infinite
262.0ms	1464×	body	256	infinite
3.0ms	4×	body	2048	valid

Bogosity

preprocess92.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

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))
▶	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series10.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite49.0ms (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)))))))))

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def_binary64`
637×	`associate-/r*_binary64`
391×	`unswap-sqr_binary64`
382×	`associate-/l/_binary64`
347×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	1510
1	551	1506
2	2163	1001

Stop Event

1×	node limit

Counts

89 → 104

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))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.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 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 y))
(/.f64 (.f64 (sin.f64 y) (.f64 2 (cosh.f64 x))) (*.f64 y 2))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 2 (cosh.f64 x))) (*.f64 (neg.f64 y) 2))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (sin.f64 y)) (*.f64 2 y))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) 1) (*.f64 2 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 2 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 2)
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 2 (cosh.f64 x))) 2)
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))
(pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 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)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.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 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (.f64 (.f64 1/2 (.f64 x x)) (sin.f64 y)) y)))
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(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

localize10.0ms (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)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (0.7%)

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)))))))

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

743×	`times-frac_binary64`
480×	`associate-/l*_binary64`
431×	`fma-def_binary64`
419×	`unswap-sqr_binary64`
350×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1784
1	478	1624
2	1711	1387

Stop Event

1×	node limit

Counts

101 → 109

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))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(-.f64 (+.f64 1 (/.f64 (cosh.f64 x) y)) 1)
(*.f64 (cosh.f64 x) (/.f64 1 y))
(*.f64 (/.f64 (cosh.f64 x) y) 1)
(*.f64 1 (/.f64 (cosh.f64 x) y))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 y)))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (cosh.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)))
(pow.f64 (/.f64 (cosh.f64 x) y) 1)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)
(pow.f64 (/.f64 y (cosh.f64 x)) -1)
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (cosh.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 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/12 (.f64 y y)) (.f64 1/240 (pow.f64 y 4)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (sin.f64 y) (.f64 (/.f64 x y) 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 (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 1/24 (/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y)))))
(fma.f64 1/2 (.f64 (sin.f64 y) (.f64 (/.f64 x y) x)) (fma.f64 1/24 (*.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.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 (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 (pow.f64 x 4) (/.f64 y (sin.f64 y))) (/.f64 (.f64 1/720 (*.f64 (sin.f64 y) (pow.f64 x 6))) y)))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 y) (.f64 (/.f64 x y) x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (sin.f64 y) (/.f64 (pow.f64 x 4) y)) (.f64 (*.f64 (/.f64 1/720 y) (pow.f64 x 6)) (sin.f64 y))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) y)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) 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))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(pow.f64 (/.f64 (cosh.f64 x) y) 1)
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2)
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(pow.f64 (/.f64 y (cosh.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)

eval49.0ms (0.6%)

Compiler: Compiled 3341 to 1385 computations (58.5% saved)

prune45.0ms (0.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	197	16	213
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	199	16	215

Error

0.0b

Counts

215 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
▶	1.4b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	32.8b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
	1.8b	(/.f64 (sin.f64 y) y)
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	0.2b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
▶	1.4b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
	1.8b	(*.f64 (sin.f64 y) (/.f64 1 y))
▶	1.3b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
	1.4b	(.f64 (sin.f64 y) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y))))
	32.9b	(.f64 (sin.f64 y) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y))))
	29.6b	(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	32.0b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	19.6b	(*.f64 (cosh.f64 x) (sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)))
	17.4b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
▶	29.1b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 384 to 270 computations (29.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite60.0ms (0.7%)

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))))))))

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

561×	`fma-def_binary64`
541×	`unswap-sqr_binary64`
376×	`associate-/r/_binary64`
350×	`*-commutative_binary64`
290×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	1776
1	602	1562
2	2158	1291

Stop Event

1×	node limit

Counts

100 → 124

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)))))
(-.f64 (+.f64 1 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(.f64 1 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(.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))
(.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))))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(.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))))
(*.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)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.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)))))
(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
(pow.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))) -1)
(neg.f64 (/.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(-.f64 (+.f64 1 (/.f64 y (sin.f64 y))) 1)
(*.f64 y (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sin.f64 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 (sin.f64 y) (/.f64 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))
(+.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 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y))) (/.f64 (.f64 (.f64 1/2 (*.f64 x x)) (sin.f64 y)) 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 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 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y))) (.f64 1/720 (/.f64 (pow.f64 x 6) (/.f64 y (sin.f64 y))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (.f64 1/720 (/.f64 (pow.f64 x 6) (/.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 (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 (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 (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 (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 (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 (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 (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 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -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 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 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.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 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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/10080 (pow.f64 y 6)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/12 (.f64 y y)) (.f64 1/240 (pow.f64 y 4)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (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 (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))))
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(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))

localize21.0ms (0.3%)

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (/.f64 (.f64 x x) y))
✓	0.0b	(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
✓	0.2b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	7.8b	(/.f64 (*.f64 x x) y)

Compiler

Compiled 51 to 22 computations (56.9% saved)

series45.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
33.0ms	y	@	-inf	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
3.0ms	y	@	0	(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
1.0ms	y	@	inf	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
1.0ms	x	@	0	(/.f64 (*.f64 x x) y)
1.0ms	y	@	0	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))

rewrite109.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
332×	`pow2_binary64`
331×	`fma-def_binary64`
233×	`pow1/3_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	262	50
2	3715	50

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

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

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

simplify151.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

406×	`log-prod_binary64`
323×	`associate-l_binary64`
322×	`associate-r_binary64`
270×	`cube-prod_binary64`
264×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	485	5229
1	1274	4807
2	4913	4783

Stop Event

1×	node limit

Counts

300 → 299

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (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 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 (.f64 (/.f64 x y) x) 1/2) (.f64 (.f64 (/.f64 x y) x) 1/2))
(+.f64 0 (*.f64 (/.f64 x y) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x y) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) x))) 1)
(*.f64 x (/.f64 1 (/.f64 y x)))
(.f64 x (.f64 x (/.f64 1 y)))
(.f64 (.f64 x x) (/.f64 1 y))
(.f64 (.f64 (/.f64 x y) x) 1)
(.f64 1 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1 y) (.f64 x x))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 (/.f64 x y) x)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 y)))
(.f64 (pow.f64 y -1/2) (/.f64 (.f64 x x) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (.f64 x x) (cbrt.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 x y))
(*.f64 (/.f64 x y) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 (/.f64 x y) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))
(.f64 (.f64 (*.f64 x x) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))
(.f64 (.f64 (*.f64 x x) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(pow.f64 (*.f64 (/.f64 x y) x) 1)
(pow.f64 (*.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 3)
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
(pow.f64 (*.f64 y (pow.f64 x -2)) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 y -3)) 1/3)
(pow.f64 (/.f64 (*.f64 y (pow.f64 x -2)) 1) -1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 y)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 y -2)))
(log.f64 (exp.f64 (*.f64 (/.f64 x y) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 y 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 y -3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) x)) 1))
(+.f64 0 (.f64 (sin.f64 y) (fma.f64 (.f64 (/.f64 x y) x) 1/2 (/.f64 1 y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 (/.f64 x y) x) (*.f64 1/2 (sin.f64 y))))
(+.f64 (.f64 (.f64 (/.f64 x y) x) (*.f64 1/2 (sin.f64 y))) (/.f64 (sin.f64 y) y))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) 1) (.f64 (.f64 (.f64 (/.f64 x y) x) (*.f64 1/2 (sin.f64 y))) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 (/.f64 x y) x) 1/2 (/.f64 1 y))) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 (/.f64 x y) x) 1/2 (/.f64 1 y))) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 (/.f64 x y) x) 1/2 (/.f64 1 y))) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 (/.f64 x y) x) 1/2 (/.f64 1 y))) (sin.f64 y)))))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (/.f64 x y) x) 1/2))) 1)
(/.f64 1 (/.f64 y (.f64 (.f64 x x) 1/2)))
(/.f64 1/2 (*.f64 y (pow.f64 x -2)))
(/.f64 (.f64 (.f64 x x) 1/2) y)
(/.f64 (neg.f64 (.f64 (.f64 x x) 1/2)) (neg.f64 y))
(/.f64 (/.f64 (.f64 (.f64 x x) 1/2) 1) y)
(/.f64 (/.f64 (.f64 (.f64 x x) 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (.f64 (.f64 x x) 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 x 1/2) (/.f64 y x))
(/.f64 (.f64 (.f64 x (neg.f64 x)) 1/2) (neg.f64 y))
(/.f64 (*.f64 1/2 x) (/.f64 y x))
(/.f64 (.f64 1/2 (.f64 x (neg.f64 x))) (neg.f64 y))
(pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/2) 1)
(pow.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4) 1/2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (/.f64 x y) x) 1/2)) 3)
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2)) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/2) 3) 1/3)
(pow.f64 (/.f64 y (.f64 (.f64 x x) 1/2)) -1)
(sqrt.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x y) x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (/.f64 x y) x) 1/2))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/2) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 (/.f64 x y) x) 1/2)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (/.f64 x y) x) 1/2)))
(exp.f64 (log.f64 (.f64 (.f64 (/.f64 x y) x) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (/.f64 x y) x) 1/2)) 1))

Outputs
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) 1)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (.f64 x (.f64 x 1/2))))
(fma.f64 -1/6 (.f64 (fma.f64 y (.f64 x (.f64 x 1/2)) y) y) (fma.f64 x (.f64 x 1/2) 1))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/6 (.f64 (fma.f64 y (.f64 x (.f64 x 1/2)) y) y) (fma.f64 x (.f64 x 1/2) 1)) (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 (pow.f64 y 4) 1/120)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (fma.f64 -1/5040 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (pow.f64 y 6)) (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (pow.f64 y 4)))))))
(+.f64 (fma.f64 -1/5040 (.f64 (fma.f64 x (.f64 x 1/2) 1) (pow.f64 y 6)) (fma.f64 x (.f64 x 1/2) (.f64 (fma.f64 x (.f64 x 1/2) 1) (.f64 (pow.f64 y 4) 1/120)))) (fma.f64 -1/6 (.f64 (fma.f64 y (.f64 x (*.f64 x 1/2)) y) y) 1))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) 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)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 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)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 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)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 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 (sin.f64 y) (.f64 x (/.f64 x (/.f64 y 1/2))))
(+.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)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 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)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 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)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 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 (sin.f64 y) (.f64 x (/.f64 x (/.f64 y 1/2))))
(+.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)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 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)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 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)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) y)
(/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
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(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
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(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
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(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
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(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
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(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) 1/2) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2)) (.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(fma.f64 -1 (/.f64 1 (neg.f64 y)) (.f64 (.f64 (/.f64 x y) x) 1/2))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(fma.f64 (.f64 (.f64 x x) 1/2) (/.f64 1 y) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 1 (cbrt.f64 y)) (.f64 (.f64 (/.f64 x y) x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 1 (cbrt.f64 y)) (.f64 (/.f64 x y) (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 1 (cbrt.f64 y)) (*.f64 x (/.f64 x (/.f64 y 1/2))))
(+.f64 (*.f64 x (/.f64 x (/.f64 y 1/2))) (pow.f64 (/.f64 1 (cbrt.f64 y)) 3))
(fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x x) (cbrt.f64 y)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(fma.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 (*.f64 x x) (sqrt.f64 y)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) x)) 2)) (cbrt.f64 (*.f64 (/.f64 x y) x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(fma.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (/.f64 x (sqrt.f64 y)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(+.f64 0 (.f64 (.f64 (/.f64 x y) x) 1/2))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x y) x)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x y) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) x))))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x y) x))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x y) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (/.f64 x y) x) 1/2))) 1)
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(/.f64 1 (/.f64 y (.f64 (.f64 x x) 1/2)))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(/.f64 1/2 (*.f64 y (pow.f64 x -2)))
(/.f64 (/.f64 1/2 y) (pow.f64 x -2))
(/.f64 (.f64 (.f64 x x) 1/2) y)
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(/.f64 (neg.f64 (.f64 (.f64 x x) 1/2)) (neg.f64 y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) 1/2) 1) y)
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(/.f64 (*.f64 x 1/2) (/.f64 y x))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(/.f64 (.f64 (.f64 x (neg.f64 x)) 1/2) (neg.f64 y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(/.f64 (*.f64 1/2 x) (/.f64 y x))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(/.f64 (.f64 1/2 (.f64 x (neg.f64 x))) (neg.f64 y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/2) 1)
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(pow.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4) 1/2)
(sqrt.f64 (.f64 (pow.f64 x 4) (.f64 (pow.f64 y -2) 1/4)))
(fabs.f64 (*.f64 x (/.f64 x (/.f64 y 1/2))))
(pow.f64 (cbrt.f64 (.f64 (.f64 (/.f64 x y) x) 1/2)) 3)
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2)) 2)
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(pow.f64 (pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/2) 3) 1/3)
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(pow.f64 (/.f64 y (.f64 (.f64 x x) 1/2)) -1)
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(sqrt.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4))
(sqrt.f64 (.f64 (pow.f64 x 4) (.f64 (pow.f64 y -2) 1/4)))
(fabs.f64 (*.f64 x (/.f64 x (/.f64 y 1/2))))
(log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x y) x))))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (/.f64 x y) x) 1/2))))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/2) 3))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (/.f64 x y) x) 1/2)))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (/.f64 x y) x) 1/2)))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(exp.f64 (log.f64 (.f64 (.f64 (/.f64 x y) x) 1/2)))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (/.f64 x y) x) 1/2)) 1))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))

localize35.0ms (0.4%)

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))
✓	0.5b	(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)

series22.0ms (0.3%)

Counts

3 → 48

Calls

18 calls:

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

rewrite55.0ms (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))))))))

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-def_binary64`
530×	`distribute-rgt-in_binary64`
239×	`distribute-rgt-neg-out_binary64`
222×	`log-prod_binary64`
196×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	2036
1	792	1967
2	2915	1859

Stop Event

1×	node limit

Counts

144 → 164

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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) y))) 1)
(*.f64 (cosh.f64 x) (/.f64 1 y))
(*.f64 (/.f64 (cosh.f64 x) y) 1)
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(*.f64 1 (/.f64 (cosh.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(.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)))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)))
(.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)))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 y)))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (cosh.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2) 3) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.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))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(.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))))
(.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))
(/.f64 (cosh.f64 x) y)
(/.f64 1 (/.f64 y (cosh.f64 x)))
(/.f64 1 (/.f64 (/.f64 y (cosh.f64 x)) 1))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (cbrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (sqrt.f64 (cosh.f64 x))))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 y 2))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y))
(/.f64 -1 (neg.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) 1) (*.f64 2 y))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (cosh.f64 x) 1) y)
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 1 y)) 2)
(/.f64 (*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 y))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))) 1)
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1)
(*.f64 1 (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (/.f64 1 y) 1/3))
(*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (cbrt.f64 y)))
(*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) (pow.f64 (/.f64 (cosh.f64 x) y) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) (neg.f64 (cbrt.f64 y)))
(pow.f64 (/.f64 (cosh.f64 x) y) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 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)))
(+.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 (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) (fma.f64 (+.f64 0 (*.f64 (/.f64 1 y) 1/24)) (pow.f64 x 4) (/.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)))
(fma.f64 1/6 (.f64 x (.f64 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))))
(fma.f64 -1/72 (.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 x 4)) (fma.f64 1/6 (.f64 x (*.f64 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 (.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)))))
(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 x (.f64 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 (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 -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 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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.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 1/240 (pow.f64 y 4)))))
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(/.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) (neg.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y))
(pow.f64 (/.f64 (cosh.f64 x) y) 1/3)
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1)
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 3)
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) 2)
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (sin.f64 y)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 2)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) y) 3)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
✓	0.3b	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2))
✓	0.5b	(pow.f64 (cbrt.f64 y) 2)
✓	0.6b	(cbrt.f64 y)

Compiler

Compiled 43 to 16 computations (62.8% saved)

series14.0ms (0.2%)

Counts

4 → 36

Calls

18 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
375×	`pow-prod-down_binary64`
301×	`pow2_binary64`
233×	`prod-diff_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	238	36
2	3233	36

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 y (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y y) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (.f64 y (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))))))) (#(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) (pow.f64 (cbrt.f64 y) -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cosh.f64 x) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 2)) (.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)) (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) -2) (.f64 (sin.f64 y) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 2)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y (cbrt.f64 y)))) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cosh.f64 x) (cbrt.f64 (.f64 y (cbrt.f64 y)))) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 y (cbrt.f64 y)))) (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 2)) (cbrt.f64 (.f64 y (cbrt.f64 y)))) (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 (.f64 y (cbrt.f64 y)))) (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)) (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 3) (.f64 y y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)) (sin.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 3) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 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(2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (/.f64 1 (neg.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 y)) (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 2)) (cbrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 y) 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#<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)) (sin.f64 y)) (cbrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (/.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) (neg.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6) y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 1))))))

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

403×	`unswap-sqr_binary64`
370×	`times-frac_binary64`
235×	`log-prod_binary64`
222×	`associate-r_binary64`
208×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	4294970525
1	934	3154
2	4175	3070

Stop Event

1×	node limit

Counts

183 → 245

Calls

Call 1

Inputs
(*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (sin.f64 y))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (sin.f64 y)) (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (.f64 (sin.f64 y) (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (sin.f64 y)) (+.f64 (.f64 1/24 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (.f64 (sin.f64 y) (pow.f64 x 4)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (*.f64 (sin.f64 y) (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (sin.f64 y)) (+.f64 (.f64 1/24 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (.f64 (sin.f64 y) (pow.f64 x 4)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (.f64 (sin.f64 y) (pow.f64 x 2)))) (.f64 1/720 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (.f64 (sin.f64 y) (pow.f64 x 6)))))))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))
(.f64 1/2 (.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))
(*.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 0 (cbrt.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)
(*.f64 (cbrt.f64 y) 1)
(*.f64 1 (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 y))
(pow.f64 y 1/3)
(pow.f64 (cbrt.f64 y) 1)
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)
(pow.f64 (*.f64 y y) 1/6)
(pow.f64 (pow.f64 y 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)
(pow.f64 (sqrt.f64 y) 2/3)
(pow.f64 (pow.f64 y 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 y) 2))
(fabs.f64 (cbrt.f64 y))
(log.f64 (exp.f64 (cbrt.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 1))
(+.f64 0 (pow.f64 (cbrt.f64 y) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 y) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (.f64 y (cbrt.f64 y))))
(.f64 (cbrt.f64 (.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 (sqrt.f64 y) (pow.f64 y 1/6))
(*.f64 (pow.f64 y 1/6) (sqrt.f64 y))
(.f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))
(sqrt.f64 (*.f64 y (cbrt.f64 y)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))
(cbrt.f64 (*.f64 y y))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))
(exp.f64 (*.f64 2/3 (log.f64 y)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 y)) 1))
(+.f64 0 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))))) 1)
(*.f64 (sin.f64 y) (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))))
(.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))
(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2)))
(.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) -2))
(.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) 1)
(.f64 1 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 2)) (.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) -2)))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)) (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)))
(.f64 (.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))
(.f64 (pow.f64 (cbrt.f64 y) -2) (.f64 (sin.f64 y) (cosh.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cosh.f64 x))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 2)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y (cbrt.f64 y)))) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (.f64 y (cbrt.f64 y)))) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y (cbrt.f64 y)))) (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 2)) (cbrt.f64 (.f64 y (cbrt.f64 y)))) (cbrt.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 (.f64 y (cbrt.f64 y)))) (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(pow.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 2)
(pow.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)) (sin.f64 y)) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 3) (.f64 y y)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)) (sin.f64 y)) 1) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 3) (.f64 y y)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))
(exp.f64 (log.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) 1))
(+.f64 0 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 1)
(.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))
(.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 1)
(*.f64 1 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)) (.f64 (cbrt.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) (/.f64 1 (cbrt.f64 y))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 y))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x))) (/.f64 1 (neg.f64 (cbrt.f64 y))))
(.f64 (/.f64 1 (cbrt.f64 y)) (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 2)) (cbrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 1) (/.f64 1 y))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) (cbrt.f64 y)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 1) (/.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 (cbrt.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) -2) (/.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) (cbrt.f64 (cbrt.f64 y))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))
(.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 y 1/6)) (pow.f64 (cbrt.f64 y) -5/2))
(.f64 (pow.f64 y -1/6) (/.f64 (.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) (pow.f64 y 1/6)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)) (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) (pow.f64 y 1/6)))
(pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2)
(pow.f64 (.f64 (/.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))) y) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6) y) 1/3)
(pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)) (sin.f64 y)) (cbrt.f64 y)) -1)
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)
(pow.f64 (/.f64 (.f64 (/.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))) y) 1) -1)
(neg.f64 (/.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) (neg.f64 (cbrt.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6) y))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 1))

Outputs
(*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (sin.f64 y))
(.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (sin.f64 y))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (sin.f64 y)) (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (.f64 (sin.f64 y) (pow.f64 x 2)))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (sin.f64 y) (.f64 1/2 (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (.f64 (sin.f64 y) (.f64 x x)))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (sin.f64 y) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (.f64 1/2 (.f64 (sin.f64 y) (.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (+.f64 (sin.f64 y) (.f64 1/2 (.f64 (sin.f64 y) (*.f64 x x)))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (sin.f64 y)) (+.f64 (.f64 1/24 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (.f64 (sin.f64 y) (pow.f64 x 4)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (*.f64 (sin.f64 y) (pow.f64 x 2))))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (sin.f64 y) (fma.f64 1/24 (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (.f64 (sin.f64 y) (pow.f64 x 4))) (.f64 1/2 (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (.f64 (sin.f64 y) (*.f64 x x))))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (sin.f64 y) (fma.f64 1/2 (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (.f64 (sin.f64 y) (.f64 x x))) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (.f64 (*.f64 1/24 (sin.f64 y)) (pow.f64 x 4)))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (sin.f64 y) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (.f64 x x))) (.f64 1/24 (.f64 (sin.f64 y) (pow.f64 x 4))))))
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(.f64 (pow.f64 y -1/6) (/.f64 (sin.f64 y) (/.f64 (pow.f64 y 1/6) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))))
(*.f64 (pow.f64 y -1/6) (/.f64 (sin.f64 y) (/.f64 (/.f64 (pow.f64 y 1/6) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) -2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)) (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) (pow.f64 y 1/6)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)) (.f64 (cbrt.f64 (.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) -2)))) (/.f64 1 (cbrt.f64 y))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)) (/.f64 (cbrt.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2)))) (cbrt.f64 y)))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 4)) (cbrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 2) 1/2)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 3) 1/3)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 3)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (.f64 (/.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))) y) -1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6) y) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6) y))
(pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)) (sin.f64 y)) (cbrt.f64 y)) -1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (.f64 (/.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))) y) 1) -1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (/.f64 (.f64 (sin.f64 y) (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) -2))) (neg.f64 (cbrt.f64 y))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 2))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 3))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)) 6) y))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 1))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

eval286.0ms (3.4%)

Compiler: Compiled 17486 to 8028 computations (54.1% saved)

prune236.0ms (2.8%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	909	13	922
Fresh	8	3	11
Picked	1	0	1
Done	1	3	4
Total	919	19	938

Error

Counts

938 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.1b	(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (.f64 x (.f64 x 1/2))))
	1.4b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
	29.9b	(/.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (sin.f64 y)) (cbrt.f64 y))
	1.8b	(/.f64 (sin.f64 y) y)
	0.6b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	28.2b	(/.f64 (cosh.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6)))
	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
▶	29.6b	(+.f64 1 (.f64 x (.f64 x 1/2)))
▶	0.2b	(*.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))
	32.0b	(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
	2.9b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
	28.7b	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
	1.3b	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
	1.8b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	1.3b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
	60.7b	(.f64 (sin.f64 y) (.f64 (/.f64 x y) (*.f64 x 1/2)))
▶	17.4b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	29.1b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 435 to 310 computations (28.7% saved)

localize16.0ms (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))))
✓	0.3b	(/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y)))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series6.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

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

rewrite61.0ms (0.7%)

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

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

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

simplify117.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

330×	`log-prod_binary64`
282×	`div-sub_binary64`
216×	`times-frac_binary64`
208×	`cube-prod_binary64`
197×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	417	2883
1	1052	2824
2	4053	2824

Stop Event

1×	node limit

Counts

202 → 242

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)))))
(+.f64 0 (*.f64 (cosh.f64 x) (sin.f64 y)))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) 1)
(*.f64 (cosh.f64 x) (sin.f64 y))
(.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) (cosh.f64 x))
(.f64 (.f64 (cosh.f64 x) (sin.f64 y)) 1)
(.f64 (cbrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) (cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cosh.f64 x) (sin.f64 y)) 2)) (cbrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))))
(.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (.f64 (cbrt.f64 (cosh.f64 x)) (sin.f64 y)))
(.f64 (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) (sqrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) -1/2)))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (sin.f64 y)))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (/.f64 -1 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 1 (sin.f64 y)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 1 (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 (/.f64 (cosh.f64 x) -1) (neg.f64 (sin.f64 y)))
(.f64 (.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) 2)
(pow.f64 (/.f64 1 (*.f64 (cosh.f64 x) (sin.f64 y))) -1)
(pow.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (sin.f64 y) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (*.f64 (cosh.f64 x) (sin.f64 y))) 1) -1)
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (cosh.f64 x) 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (cosh.f64 x))) 3)
(pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (cosh.f64 x))) 2)
(neg.f64 (/.f64 (cosh.f64 x) (/.f64 -1 (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (sin.f64 y) -3)))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (sin.f64 y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cosh.f64 x) (sin.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y)))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (cosh.f64 x) (sin.f64 y)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) 1) 1))
(+.f64 0 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 1)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 1 (.f64 (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y))) y))
(/.f64 1 (.f64 y (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))
(/.f64 1 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 (/.f64 1 y) (/.f64 1 (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (cosh.f64 x) (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (.f64 (cosh.f64 x) (sin.f64 y)))))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) (/.f64 y (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y)))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 (cosh.f64 x))))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 -1 (.f64 (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 y)))
(/.f64 -1 (.f64 (neg.f64 y) (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (neg.f64 y) (/.f64 1 (sin.f64 y))))
(/.f64 (neg.f64 (cosh.f64 x)) (*.f64 y (/.f64 -1 (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) (/.f64 -1 (sin.f64 y)))
(/.f64 (.f64 (neg.f64 (cosh.f64 x)) 1) (.f64 (/.f64 -1 (sin.f64 y)) y))
(/.f64 (.f64 (cosh.f64 x) -1) (.f64 (/.f64 1 (sin.f64 y)) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (cosh.f64 x)) -1) (.f64 (/.f64 -1 (sin.f64 y)) (neg.f64 y)))
(/.f64 (.f64 -1 (neg.f64 (cosh.f64 x))) (.f64 (neg.f64 y) (/.f64 -1 (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) y) 1) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (sin.f64 y) -1/2)) (pow.f64 (sin.f64 y) -1/2))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 y)) (/.f64 -1 (sin.f64 y)))
(/.f64 (.f64 -1 (.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 y))
(/.f64 (.f64 (.f64 (cosh.f64 x) (sin.f64 y)) -1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 (cosh.f64 x))) (/.f64 -1 (sin.f64 y)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
(pow.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (.f64 (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y))) y) -1)
(pow.f64 (.f64 y (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))) -1)
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -1)
(pow.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))) -1)
(pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 (cosh.f64 x) y)) -1)
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1) 1))
(+.f64 0 (/.f64 1 (sin.f64 y)))
(+.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))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(pow.f64 (sin.f64 y) -1)
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) 2) -1/2)
(pow.f64 (pow.f64 (sin.f64 y) 3) -1/3)
(pow.f64 (pow.f64 (sin.f64 y) -2) 1/2)
(pow.f64 (pow.f64 (sin.f64 y) -3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 y)) -3)
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (sin.f64 y)) -2)
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (sin.f64 y))) -1)
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (sin.f64 y)))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (sin.f64 y))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (sin.f64 y))) 1) 1))

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))
(fma.f64 (sin.f64 y) (.f64 (.f64 x x) 1/2) (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)))
(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)))
(fma.f64 1/24 (.f64 (sin.f64 y) (pow.f64 x 4)) (fma.f64 (sin.f64 y) (.f64 (*.f64 x x) 1/2) (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))))
(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))))
(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 (sin.f64 y) (.f64 (.f64 x x) 1/2) (sin.f64 y))))
(.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 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 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 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 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 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 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 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 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 (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.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)))
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) 3) (pow.f64 y 3)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 1/3))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 3))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 2))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1) 1))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(+.f64 0 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(+.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))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(/.f64 1 (sin.f64 y))
(*.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(/.f64 1 (sin.f64 y))
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) -2))
(pow.f64 (sin.f64 y) -1)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 2) -1/2)
(pow.f64 (pow.f64 (sin.f64 y) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) -1/6) (pow.f64 (pow.f64 (sin.f64 y) 3) -1/6))
(pow.f64 (pow.f64 (sin.f64 y) -2) 1/2)
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) -3) 1/3)
(/.f64 1 (sin.f64 y))
(pow.f64 (cbrt.f64 (sin.f64 y)) -3)
(/.f64 1 (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 3)
(/.f64 1 (sin.f64 y))
(pow.f64 (sqrt.f64 (sin.f64 y)) -2)
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(/.f64 1 (sin.f64 y))
(pow.f64 (neg.f64 (neg.f64 (sin.f64 y))) -1)
(/.f64 1 (sin.f64 y))
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(/.f64 1 (sin.f64 y))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(/.f64 1 (sin.f64 y))
(cbrt.f64 (pow.f64 (sin.f64 y) -3))
(/.f64 1 (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -3)) 1/3))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (sin.f64 y)))) 3))
(/.f64 1 (sin.f64 y))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (sin.f64 y))) 2))
(/.f64 1 (sin.f64 y))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) -1))
(/.f64 1 (sin.f64 y))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) -1) 1))
(/.f64 1 (sin.f64 y))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (sin.f64 y))) 1) 1))
(/.f64 1 (sin.f64 y))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
640×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	144	8
2	1748	8

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-neg_binary64`
489×	`associate-l_binary64`
432×	`associate-r_binary64`
369×	`distribute-rgt-neg-in_binary64`
351×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	616
1	193	591
2	674	514
3	4239	457

Stop Event

1×	node limit

Counts

45 → 48

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) 1)) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 x (.f64 x 1/2)))) (/.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (-.f64 1 (.f64 x (.f64 x 1/2)))))
(.f64 1 (fma.f64 x (.f64 x 1/2) 1))
(.f64 (fma.f64 x (.f64 x 1/2) 1) 1)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))))
(.f64 (+.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (.f64 x (*.f64 x 1/2))))))
(.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2)) (/.f64 1 (-.f64 1 (.f64 x (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/2)))) (+.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (.f64 x (.f64 x 1/2))) (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2))))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/2)))))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 3)) (+.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (-.f64 1 (.f64 x (.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2)) (-.f64 1 (.f64 x (.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2))) (neg.f64 (-.f64 1 (.f64 x (.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) 1) (-.f64 (.f64 x (.f64 x 1/2)) 1))
(pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 1)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 3)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) 1)))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/2) 1)))
(exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2))))
(fma.f64 1 (.f64 x (.f64 x 1/2)) 1)
(fma.f64 x (*.f64 x 1/2) 1)
(fma.f64 (*.f64 x 1/2) x 1)
(fma.f64 (*.f64 x x) 1/2 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) 2) (cbrt.f64 (.f64 x (.f64 x 1/2))) 1)
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) 1)

Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) 1)) 1)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 x (.f64 x 1/2)))) (/.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (-.f64 1 (.f64 x (.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (-.f64 1 (.f64 1/2 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 1 (.f64 (.f64 x x) -1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (fma.f64 1/2 (*.f64 x x) -1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) 1)
(.f64 1 (fma.f64 x (.f64 x 1/2) 1))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(.f64 (fma.f64 x (.f64 x 1/2) 1) 1)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 2))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(.f64 (+.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (.f64 x (*.f64 x 1/2))))))
(.f64 (+.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 1/2 (*.f64 x x))))))
(/.f64 (+.f64 1 (.f64 1/8 (pow.f64 (.f64 x x) 3))) (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) 1) (fma.f64 1/4 (pow.f64 x 4) (fma.f64 x (.f64 x -1/2) 1)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 -1) (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (*.f64 x x) -1)))
(.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2)) (/.f64 1 (-.f64 1 (.f64 x (*.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (-.f64 1 (.f64 1/2 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 1 (.f64 (.f64 x x) -1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (fma.f64 1/2 (*.f64 x x) -1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) 1)
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/2)))) (+.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 3))))
(.f64 (+.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 1/2 (*.f64 x x))))))
(/.f64 (+.f64 1 (.f64 1/8 (pow.f64 (.f64 x x) 3))) (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) 1) (fma.f64 1/4 (pow.f64 x 4) (fma.f64 x (.f64 x -1/2) 1)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 -1) (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 1 (/.f64 (-.f64 1 (.f64 x (.f64 x 1/2))) (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (-.f64 1 (.f64 1/2 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 1 (.f64 (.f64 x x) -1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (fma.f64 1/2 (*.f64 x x) -1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) 1)
(/.f64 (+.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/2)))))
(.f64 (+.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 1/2 (*.f64 x x))))))
(/.f64 (+.f64 1 (.f64 1/8 (pow.f64 (.f64 x x) 3))) (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) 1) (fma.f64 1/4 (pow.f64 x 4) (fma.f64 x (.f64 x -1/2) 1)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 -1) (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 3)) (+.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (-.f64 1 (.f64 x (.f64 x 1/2)))))
(.f64 (+.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 1/2 (*.f64 x x))))))
(/.f64 (+.f64 1 (.f64 1/8 (pow.f64 (.f64 x x) 3))) (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) 1) (fma.f64 1/4 (pow.f64 x 4) (fma.f64 x (.f64 x -1/2) 1)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 -1) (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2)) (-.f64 1 (.f64 x (.f64 x 1/2))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (-.f64 1 (.f64 1/2 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 1 (.f64 (.f64 x x) -1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (fma.f64 1/2 (*.f64 x x) -1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/2))))))
(.f64 (+.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 1/2 (*.f64 x x))))))
(/.f64 (+.f64 1 (.f64 1/8 (pow.f64 (.f64 x x) 3))) (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) 1) (fma.f64 1/4 (pow.f64 x 4) (fma.f64 x (.f64 x -1/2) 1)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 -1) (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 x 1/2)) 2))) (neg.f64 (-.f64 1 (.f64 x (.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (-.f64 1 (.f64 1/2 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 1 (.f64 (.f64 x x) -1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (fma.f64 1/2 (*.f64 x x) -1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) 1)
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 2) 1) (-.f64 (.f64 x (.f64 x 1/2)) 1))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (-.f64 1 (.f64 1/2 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 1 (.f64 (.f64 x x) -1/2)))
(/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (fma.f64 1/2 (*.f64 x x) -1))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) 1)
(pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 1)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) 1/3)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) 3)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 2)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) 1)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) 1)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/2) 1)))
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2))))
(exp.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(fma.f64 1 (.f64 x (.f64 x 1/2)) 1)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 x 1/2) 1)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(fma.f64 (*.f64 x 1/2) x 1)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) 1/2 1)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) 2) (cbrt.f64 (.f64 x (.f64 x 1/2))) 1)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) 1)
(fma.f64 x (*.f64 1/2 x) 1)
(fma.f64 1/2 (*.f64 x x) 1)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (cosh.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6)))
✓	0.2b	(.f64 (.f64 y y) 1/6)

Compiler

Compiled 33 to 17 computations (48.5% saved)

series32.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	y	@	inf	(.f64 (.f64 y y) 1/6)
1.0ms	x	@	inf	(/.f64 (cosh.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6)))
1.0ms	y	@	inf	(/.f64 (cosh.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6)))
1.0ms	x	@	0	(/.f64 (cosh.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6)))
1.0ms	x	@	-inf	(/.f64 (cosh.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6)))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary64`
378×	`exp-prod_binary64`
366×	`prod-diff_binary64`
299×	`fma-def_binary64`
272×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	213	20
2	2775	20

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 y y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 y y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 4) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 6) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 y y) 1/6))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 y y) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 y y) 1/6)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 y y) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 y y) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 6) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 y y) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y 6) 1/216)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) 1/6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) 1/6)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (*.f64 y 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y (*.f64 y 1/6) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 y 6) 1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (*.f64 -1/6 (*.f64 y y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 2) (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cosh.f64 x)) (*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)) (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)) (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (fma.f64 y (*.f64 y 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) -2) (/.f64 (cosh.f64 x) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1/2) (/.f64 (cosh.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (fma.f64 (pow.f64 y 6) 1/216 1)) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (+.f64 1 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cosh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cosh.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))) (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cosh.f64 x) (neg.f64 (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cosh.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 1) 1))))))

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Rules

625×	`fma-def_binary64`
356×	`times-frac_binary64`
355×	`associate-/l*_binary64`
279×	`associate-*l/_binary64`
275×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	2150
1	673	2094
2	1938	1974

Stop Event

1×	node limit

Counts

118 → 162

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (.f64 1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (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 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 -1/432 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (.f64 -648 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 8))))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (.f64 -648 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 8))))))
(+.f64 0 (.f64 (.f64 y y) 1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 y 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 y 1/6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 y 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 y 1/6)))))
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)
(pow.f64 (.f64 (.f64 y y) 1/6) 1)
(pow.f64 (E.f64) (log.f64 (.f64 (.f64 y y) 1/6)))
(pow.f64 (*.f64 (pow.f64 y 4) 1/36) 1/2)
(pow.f64 (cbrt.f64 (.f64 (.f64 y y) 1/6)) 3)
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 (pow.f64 y 6) 1/216) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 y y) 1/6))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 y y) 1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 y y) 1/6)))) (sqrt.f64 (log.f64 (.f64 (.f64 y y) 1/6))))
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y y) 1/6))))
(cbrt.f64 (*.f64 (pow.f64 y 6) 1/216))
(expm1.f64 (log1p.f64 (.f64 (.f64 y y) 1/6)))
(expm1.f64 (.f64 (log1p.f64 (.f64 (*.f64 y y) 1/6)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 y y) 1/6)))
(exp.f64 (log.f64 (.f64 (.f64 y y) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) 1/6)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 y y) 1/6))) 3))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 1/6))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y 6) 1/216)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 y y) 1/6)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 y y) 1/6)) 3) 1/3))
(fma.f64 1 (fma.f64 y (*.f64 y 1/6) 1) -1)
(fma.f64 (fma.f64 y (*.f64 y 1/6) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2) (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) -1)
(fma.f64 (fma.f64 (pow.f64 y 6) 1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 -1/6 (.f64 y y))))) -1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (+.f64 1 (.f64 -1/6 (*.f64 y y)))) -1)
(+.f64 0 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))) 1)
(.f64 (cosh.f64 x) (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)))
(.f64 1 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))
(.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 1)
(.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 2) (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))) (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 (fma.f64 y (.f64 y 1/6) 1))))
(.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) (cosh.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (fma.f64 y (.f64 y 1/6) 1)))
(.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (fma.f64 y (.f64 y 1/6) 1)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) -2) (/.f64 (cosh.f64 x) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -1/2) (/.f64 (cosh.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))
(.f64 (/.f64 (cosh.f64 x) (fma.f64 (pow.f64 y 6) 1/216 1)) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 -1/6 (*.f64 y y)))))
(.f64 (/.f64 (cosh.f64 x) (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 3)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 2)
(pow.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cosh.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cosh.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))))) (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 y (.f64 y 1/6) 1) (cosh.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 1) 1))

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1))) (/.f64 1 (fma.f64 y (.f64 1/6 y) 1)))
(fma.f64 1/2 (/.f64 (.f64 x x) (fma.f64 1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 1/6 (*.f64 y y) 1)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 1/6 y) 1)) (+.f64 (.f64 1/2 (/.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1))) (/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 1/2 (/.f64 (.f64 x x) (fma.f64 1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 1/6 (.f64 y y) 1))))
(fma.f64 1/2 (/.f64 (.f64 x x) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 1/6 (.f64 y y) 1))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (+.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 y 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))) (.f64 1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 y (.f64 1/6 y) 1)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (fma.f64 y (.f64 1/6 y) 1)) (.f64 1/720 (/.f64 (pow.f64 x 6) (fma.f64 y (.f64 1/6 y) 1)))) (/.f64 1 (fma.f64 y (.f64 1/6 y) 1))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (fma.f64 1/6 (.f64 y y) 1)) (/.f64 (.f64 1/720 (pow.f64 x 6)) (fma.f64 1/6 (.f64 y y) 1))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 1/6 (.f64 y y) 1))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 1/2 (/.f64 (.f64 x x) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (fma.f64 1/6 (.f64 y y) 1)) (/.f64 1 (fma.f64 1/6 (*.f64 y y) 1)))))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 1/2 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 1/2 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 1/2 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 1/2 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 1/2 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 1/2 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 1/2 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 1/6 (*.f64 y y) 1))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 1 (.f64 1/6 (pow.f64 y 2)))))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (.f64 1/6 y) 1)))
(/.f64 1/2 (/.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (fma.f64 1/6 (*.f64 y y) 1))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 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 (*.f64 y y) -1/12)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/72 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (.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) 1/72))))
(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 1/72 (pow.f64 y 4)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 -1/432 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (+.f64 (.f64 1/72 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/432 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (fma.f64 1/72 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/432 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/72)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (.f64 y y) -1/12) (.f64 1/72 (pow.f64 y 4)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/432 (pow.f64 y 6)) 1/2)))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)))
(*.f64 (/.f64 3 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (fma.f64 (exp.f64 x) 3 (/.f64 3 (exp.f64 x))) (*.f64 y y))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 (/.f64 3 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 3 (/.f64 -18 (*.f64 y y))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6)))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 (/.f64 3 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(fma.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 3 (/.f64 -18 (*.f64 y y)))))
(+.f64 (.f64 -18 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 108 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (.f64 -648 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 8))))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (.f64 -648 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 8))))))
(fma.f64 -18 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 -648 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 8)) (.f64 108 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6))))))
(+.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (+.f64 3 (/.f64 -18 (*.f64 y y)))) (fma.f64 -648 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 8)) (/.f64 (fma.f64 (exp.f64 x) 108 (/.f64 108 (exp.f64 x))) (pow.f64 y 6))))
(*.f64 3 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))
(.f64 3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)))
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(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 1/6 y) 1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 1/6 y) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 1/6 (.f64 y y) 1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 1/6 (.f64 y y) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))))) (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 1/6 y) 1))))) (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 1/6 y) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 1/6 (.f64 y y) 1))))) (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 1/6 (.f64 y y) 1)))))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 2))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) 3))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 3)))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 1))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 3)) 1/3))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 3))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 2))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 y (.f64 y 1/6) 1) (cosh.f64 x))) -1))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 1) 1))
(/.f64 (cosh.f64 x) (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 (cosh.f64 x) (fma.f64 1/6 (*.f64 y y) 1))

localize43.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (.f64 x (.f64 x 1/2)))
✓	0.0b	(.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y))
✓	0.1b	(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (.f64 x (.f64 x 1/2))))

Compiler

Compiled 56 to 35 computations (37.5% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`log-prod_binary64`
495×	`prod-diff_binary64`
367×	`pow-prod-down_binary64`
365×	`fma-def_binary64`
298×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	247	39
2	2985	39

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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(fma.f64 x (*.f64 x 1/2) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 y y) (fma.f64 x (*.f64 x 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 y y) (fma.f64 x (*.f64 x 1/2) 1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 y y) (fma.f64 x (*.f64 x 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 y y) (fma.f64 x (*.f64 x 1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 y y) (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 y y) (fma.f64 x (*.f64 x 1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 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(*.f64 -1/6 (*.f64 y y)) (fma.f64 x (*.f64 x 1/2) 1)) (fma.f64 x (*.f64 x 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 -1/6 (*.f64 y y)) (fma.f64 x (*.f64 x 1/2) 1)) 2) (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 2)) (-.f64 (*.f64 (*.f64 -1/6 (*.f64 y y)) (fma.f64 x (*.f64 x 1/2) 1)) (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 y y) (fma.f64 x (*.f64 x 1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 y y) (fma.f64 x (*.f64 x 1/2) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 y y) (fma.f64 x (*.f64 x 1/2) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/6 (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 y y) (fma.f64 x (*.f64 x 1/2) 1))) 3)))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 x (sqrt.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) y) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 y (*.f64 x (sqrt.f64 1/2))) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (*.f64 x 1/2) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (*.f64 x 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (*.f64 x 1/2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (*.f64 x 1/2) 1)))))))) (#(struct:change 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pow.f64 (pow.f64 (*.f64 y (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (hypot.f64 1 (*.f64 x (sqrt.f64 1/2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (*.f64 y y))))))) 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simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-def_binary64`
616×	`fma-neg_binary64`
265×	`div-sub_binary64`
248×	`sqr-pow_binary64`
244×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	2607
1	485	2163
2	1476	2107
3	5390	2073

Stop Event

1×	node limit

Counts

123 → 130

Calls

Call 1

Inputs
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (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 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 1/2 (pow.f64 x 2))))
(.f64 -1/6 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 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 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 -1/6 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 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 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))))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (fma.f64 x (.f64 x 1/2) 1) (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (*.f64 x 1/2) 1)))
(+.f64 0 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1)))
(+.f64 (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1)) (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 (.f64 (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1)) 1) (fma.f64 x (.f64 x 1/2) 1))
(+.f64 (fma.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1) 1) (.f64 x (*.f64 x 1/2)))
(+.f64 (fma.f64 -1/6 (.f64 (fma.f64 x (.f64 x 1/2) 1) (.f64 y y)) (.f64 x (*.f64 x 1/2))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1)))) 1)
(.f64 1 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (*.f64 x 1/2) 1)))
(.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (*.f64 x 1/2) 1)) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (*.f64 x 1/2) 1))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))) 2) (cbrt.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (*.f64 x 1/2) 1))))
(.f64 (sqrt.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))) (sqrt.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (*.f64 x 1/2) 1))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1)) 3) (pow.f64 (fma.f64 x (.f64 x 1/2) 1) 3)) (+.f64 (pow.f64 (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1)) 2) (-.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) 1) 2) (.f64 (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1)) (fma.f64 x (.f64 x 1/2) 1)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1)) 2) (pow.f64 (fma.f64 x (.f64 x 1/2) 1) 2)) (-.f64 (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1)) (fma.f64 x (.f64 x 1/2) 1)))
(pow.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1)) 1)
(pow.f64 (pow.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1)) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1)))))
(log.f64 (.f64 (exp.f64 (fma.f64 x (.f64 x 1/2) 1)) (exp.f64 (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x 1/2) 1))) (exp.f64 (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1)))))
(log.f64 (.f64 (exp.f64 (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (.f64 x 1/2) 1))) (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x 1/2) 1)))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))))
(exp.f64 (log.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (.f64 x 1/2) 1))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 -1/6 (fma.f64 x (.f64 x 1/2) 1)) (.f64 y y) (fma.f64 x (*.f64 x 1/2) 1))) 1))
(+.f64 (.f64 y y) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(+.f64 (.f64 y y) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(+.f64 0 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y)))
(+.f64 (pow.f64 (.f64 (.f64 x (sqrt.f64 1/2)) y) 2) (*.f64 y y))
(+.f64 (pow.f64 (.f64 y (.f64 x (sqrt.f64 1/2))) 2) (*.f64 y y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (.f64 x 1/2) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (.f64 x 1/2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (.f64 x 1/2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (.f64 x 1/2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y)))) 1)
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 1/8 1) (.f64 y y)) (fma.f64 (.f64 x (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/2) -1) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4)) (.f64 y y)) (-.f64 1 (.f64 x (*.f64 x 1/2))))
(/.f64 (.f64 (.f64 y y) (fma.f64 (pow.f64 x 6) 1/8 1)) (fma.f64 (.f64 x (.f64 x 1/2)) (fma.f64 x (*.f64 x 1/2) -1) 1))
(/.f64 (.f64 (.f64 y y) (-.f64 1 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4))) (-.f64 1 (.f64 x (*.f64 x 1/2))))
(pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y)) 1)
(pow.f64 (pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 4) 1/2)
(pow.f64 (pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y))) 3)
(pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 2)
(sqrt.f64 (pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (*.f64 x 1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y)))))
(cbrt.f64 (pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 6))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y))))
(exp.f64 (fma.f64 2 (log.f64 y) (log1p.f64 (.f64 x (.f64 x 1/2)))))
(exp.f64 (.f64 (fma.f64 2 (log.f64 y) (log1p.f64 (.f64 x (*.f64 x 1/2)))) 1))
(fma.f64 1 (.f64 y y) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(fma.f64 1 (.f64 y y) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(fma.f64 (.f64 x (.f64 x 1/2)) (.f64 y y) (.f64 y y))
(fma.f64 y y (pow.f64 (.f64 (.f64 x (sqrt.f64 1/2)) y) 2))
(fma.f64 y y (pow.f64 (.f64 y (.f64 x (sqrt.f64 1/2))) 2))
(fma.f64 (.f64 y y) 1 (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(fma.f64 (.f64 y y) 1 (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(fma.f64 (.f64 y y) (.f64 x (.f64 x 1/2)) (.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) y) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) y) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(fma.f64 (.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) 2) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(fma.f64 (.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) 2) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(fma.f64 (sqrt.f64 y) (.f64 y (sqrt.f64 y)) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(fma.f64 (sqrt.f64 y) (.f64 y (sqrt.f64 y)) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(fma.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(fma.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))

Outputs
(+.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 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x) (.f64 -1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (.f64 x x) (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x) 1))
(fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x) (.f64 -1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (.f64 x x) (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x) 1))
(fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x) (.f64 -1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (.f64 x x) (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x) 1))
(fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
(.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x))
(.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x) (.f64 -1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (.f64 x x) (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x) 1))
(fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x) (.f64 -1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (.f64 x x) (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x) 1))
(fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x) (.f64 -1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (.f64 x x) (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x) 1))
(fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
(.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x))
(.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x) (.f64 -1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (.f64 x x) (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x) 1))
(fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x) (.f64 -1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (.f64 x x) (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x) 1))
(fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x) (.f64 -1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (.f64 x x) (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (*.f64 x x) 1))
(fma.f64 (fma.f64 y (.f64 y -1/12) 1/2) (.f64 x x) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 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))))
(.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) (fma.f64 x (.f64 1/2 x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 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))))
(.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) (fma.f64 x (.f64 1/2 x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 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))))
(.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) (fma.f64 x (.f64 1/2 x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 -1/6 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2)))
(.f64 -1/6 (.f64 (fma.f64 x (.f64 1/2 x) 1) (.f64 y y)))
(.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))))
(.f64 (.f64 y y) (fma.f64 -1/6 (.f64 1/2 (.f64 x x)) -1/6))
(+.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 (.f64 -1/6 (.f64 y y))) (fma.f64 x (.f64 1/2 x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 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))))
(.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) (fma.f64 x (.f64 1/2 x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 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))))
(.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) (fma.f64 x (.f64 1/2 x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 1))
(.f64 -1/6 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2)))
(.f64 -1/6 (.f64 (fma.f64 x (.f64 1/2 x) 1) (.f64 y y)))
(.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))))
(.f64 (.f64 y y) (fma.f64 -1/6 (.f64 1/2 (.f64 x x)) -1/6))
(+.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 (.f64 -1/6 (.f64 y y))) (fma.f64 x (.f64 1/2 x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 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))))
(.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) (fma.f64 x (.f64 1/2 x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 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))))
(.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) (fma.f64 x (.f64 1/2 x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/6 (*.f64 y y) 1))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 x x) (.f64 y y)))
(.f64 y (.f64 y (.f64 x (.f64 1/2 x))))
(pow.f64 (.f64 y (.f64 x (sqrt.f64 1/2))) 2)
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 x x) (.f64 y y)))
(.f64 y (.f64 y (.f64 x (.f64 1/2 x))))
(pow.f64 (.f64 y (.f64 x (sqrt.f64 1/2))) 2)
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (pow.f64 y 2) (.f64 1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(+.f64 (fma.f64 x (.f64 x 1/2) 1) (.f64 (.f64 -1/6 (.f64 y y)) (fma.f64 x (*.f64 x 1/2) 1)))
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(.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/8 1) (fma.f64 (.f64 x (.f64 1/2 x)) (fma.f64 1/2 (.f64 x x) -1) 1)) (*.f64 y y))
(.f64 (.f64 y y) (/.f64 (fma.f64 (pow.f64 x 6) 1/8 1) (fma.f64 x (.f64 (.f64 1/2 x) (fma.f64 1/2 (*.f64 x x) -1)) 1)))
(.f64 (.f64 y y) (/.f64 (fma.f64 (pow.f64 x 6) 1/8 1) (+.f64 (.f64 1/4 (pow.f64 x 4)) (fma.f64 x (.f64 x -1/2) 1))))
(/.f64 (.f64 (.f64 y y) (-.f64 1 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4))) (-.f64 1 (.f64 x (*.f64 x 1/2))))
(/.f64 (.f64 y y) (/.f64 (-.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4))))
(.f64 (/.f64 (.f64 y y) (-.f64 1 (.f64 x (.f64 1/2 x)))) (-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4)))
(.f64 (.f64 y y) (/.f64 (-.f64 1 (pow.f64 (.f64 x (sqrt.f64 1/2)) 4)) (fma.f64 x (.f64 x -1/2) 1)))
(.f64 (/.f64 y (fma.f64 x (.f64 x -1/2) 1)) (-.f64 y (.f64 y (.f64 1/4 (pow.f64 x 4)))))
(pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y)) 1)
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(pow.f64 (pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 4) 1/2)
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(pow.f64 (pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 6) 1/3)
(cbrt.f64 (pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 6))
(cbrt.f64 (pow.f64 (hypot.f64 y (.f64 y (.f64 x (sqrt.f64 1/2)))) 6))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y))) 3)
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 2)
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(sqrt.f64 (pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 4))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (fma.f64 x (*.f64 x 1/2) 1)))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y)))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(cbrt.f64 (pow.f64 (.f64 y (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) 6))
(cbrt.f64 (pow.f64 (hypot.f64 y (.f64 y (.f64 x (sqrt.f64 1/2)))) 6))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (*.f64 y y))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(exp.f64 (fma.f64 2 (log.f64 y) (log1p.f64 (.f64 x (.f64 x 1/2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(exp.f64 (.f64 (fma.f64 2 (log.f64 y) (log1p.f64 (.f64 x (*.f64 x 1/2)))) 1))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 1 (.f64 y y) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 1 (.f64 y y) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (.f64 x (.f64 x 1/2)) (.f64 y y) (.f64 y y))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 y y (pow.f64 (.f64 (.f64 x (sqrt.f64 1/2)) y) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 y y (pow.f64 (.f64 y (.f64 x (sqrt.f64 1/2))) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (.f64 y y) 1 (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (.f64 y y) 1 (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (.f64 y y) (.f64 x (.f64 x 1/2)) (.f64 y y))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) y) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) y) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) 2) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) 2) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (sqrt.f64 y) (.f64 y (sqrt.f64 y)) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (sqrt.f64 y) (.f64 y (sqrt.f64 y)) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (pow.f64 (.f64 (*.f64 x (sqrt.f64 1/2)) y) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (pow.f64 (.f64 y (*.f64 x (sqrt.f64 1/2))) 2))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (.f64 y y))) (*.f64 y y))
(.f64 y (.f64 y (fma.f64 1/2 (*.f64 x x) 1)))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
✓	17.4b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 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)
1.0ms	y	@	-inf	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
0.0ms	y	@	0	(pow.f64 (/.f64 (sin.f64 y) y) 3)

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

283×	`exp-prod_binary64`
271×	`div-sub_binary64`
251×	`log-prod_binary64`
223×	`sqr-pow_binary64`
202×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	468	2612
1	1121	2536
2	4198	2536

Stop Event

1×	node limit

Counts

217 → 247

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
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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 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
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(*.f64 (sin.f64 y) (/.f64 1 y))
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(*.f64 1 (/.f64 (sin.f64 y) y))
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(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sin.f64 y) (cbrt.f64 y)))
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(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
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(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 6) 1/6)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 9) 1/9)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 3/2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 y) y)))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))) 3/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) 1))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1) 1/3))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 y)))
(exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 y) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 1) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (neg.f64 (log.f64 y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (sin.f64 y)) 1)))
(+.f64 0 (pow.f64 (/.f64 (sin.f64 y) y) 3))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) 1)
(.f64 (sin.f64 y) (.f64 (/.f64 1 y) (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 (sin.f64 y) y) 2))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1)
(*.f64 1 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (sin.f64 y) y))
(.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)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 5/2))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y -3))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (sin.f64 y)) (/.f64 1 y))
(.f64 (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 5/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 1 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 1 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(/.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 y (sin.f64 y)))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (neg.f64 (sin.f64 y)) 3) (pow.f64 (neg.f64 y) 3))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) 3)) (neg.f64 (pow.f64 y 3)))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 (/.f64 (sin.f64 y) y) 2)) y)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 (/.f64 (sin.f64 y) y) 2)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (sin.f64 y)) y)
(/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) (neg.f64 (sin.f64 y))) (neg.f64 y))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 y) y) 9)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (sin.f64 y) y))) 3/2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (/.f64 (sin.f64 y) y))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) 3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3/2) 2))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 3) (.f64 3 (log.f64 y))))
(exp.f64 (-.f64 (.f64 3 (log.f64 (sin.f64 y))) (.f64 (log.f64 y) 3)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 3) (.f64 (log.f64 y) 3)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (.f64 2 (log.f64 (/.f64 (sin.f64 y) y)))))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) (*.f64 2 (log.f64 (/.f64 (sin.f64 y) y)))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (/.f64 (sin.f64 y) y))) (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))
(exp.f64 (+.f64 (.f64 2 (log.f64 (/.f64 (sin.f64 y) y))) (.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3/2) (.f64 3/2 (log.f64 (/.f64 (sin.f64 y) y)))))
(exp.f64 (+.f64 (.f64 3/2 (log.f64 (/.f64 (sin.f64 y) y))) (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3/2) (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 3/2)))
(+.f64 0 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 1)
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (.f64 (sin.f64 y) (.f64 2 (cosh.f64 x))) (*.f64 y 2))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 2 (cosh.f64 x))) (*.f64 (neg.f64 y) 2))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (sin.f64 y)) (*.f64 2 y))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) 1) (*.f64 2 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 2 (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 2)
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 2 (cosh.f64 x))) 2)
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))
(pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 y (sin.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (log.f64 (cosh.f64 x))))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) (log.f64 (cosh.f64 x))))
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 y) y)) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (.f64 (log.f64 (cosh.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cosh.f64 x)) 1) (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 (cosh.f64 x)) 1) (.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3)))

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)))
(+.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)))))
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(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(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)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(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)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))) (sqrt.f64 (log.f64 (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3)) 1/3))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 3))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 2))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1) 1))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (log.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) (log.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 y) y)) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (.f64 (log.f64 (cosh.f64 x)) 1)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (.f64 (log.f64 (cosh.f64 x)) 1) (.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (.f64 (log.f64 (cosh.f64 x)) 1) (.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) y))) 1/3)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

eval309.0ms (3.7%)

Compiler: Compiled 17871 to 9951 computations (44.3% saved)

prune204.0ms (2.4%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	962	7	969
Fresh	5	6	11
Picked	0	1	1
Done	2	5	7
Total	969	19	988

Error

Counts

988 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
	1.4b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
	29.9b	(/.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (sin.f64 y)) (cbrt.f64 y))
	1.8b	(/.f64 (sin.f64 y) y)
	0.6b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓	29.6b	(+.f64 1 (.f64 x (.f64 x 1/2)))
	30.5b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	32.0b	(.f64 (/.f64 1 y) (pow.f64 (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) 2))
✓	0.2b	(*.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))
▶	1.8b	(*.f64 (/.f64 1 y) (sin.f64 y))
▶	62.0b	(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
	2.9b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
▶	28.7b	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
✓	1.3b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	17.4b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	29.1b	(*.f64 (cosh.f64 x) 1)
▶	61.0b	(.f64 1/2 (.f64 x x))
	30.0b	1

Compiler

Compiled 342 to 249 computations (27.2% saved)

localize11.0ms (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
1.0ms	y	@	0	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
0.0ms	x	@	0	(/.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)))
0.0ms	x	@	-inf	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))

rewrite52.0ms (0.6%)

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))))) 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-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)))))))))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

528×	`associate-/l*_binary64`
502×	`associate-*r/_binary64`
487×	`fma-def_binary64`
466×	`unswap-sqr_binary64`
330×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	2153
1	676	2132
2	2029	1331

Stop Event

1×	node limit

Counts

93 → 110

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(+.f64 0 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 1)
(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(.f64 1 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))
(.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))
(.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))))
(.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))
(.f64 (sqrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 1 (/.f64 -1 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 1 (sin.f64 y))) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
(*.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))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1) (/.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 1 (sin.f64 y)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (/.f64 1 (sin.f64 y)))))
(.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))))
(*.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)))))
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (/.f64 1 y) (pow.f64 (sin.f64 y) -1/2)))
(*.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)))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) -1) (neg.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 2)
(pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (cosh.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) -3)) 1/3)
(pow.f64 (*.f64 (/.f64 y (cosh.f64 x)) (/.f64 1 (sin.f64 y))) -1)
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -1)
(pow.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (cosh.f64 x))) 1) -1)
(pow.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) y) 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (cosh.f64 x) y))) 2)
(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)))))
(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)))))
(neg.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 -1 (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) -3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 y (sin.f64 y)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) y)) 1) (neg.f64 (log.f64 (sin.f64 y)))))
(exp.f64 (-.f64 (log.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (log.f64 (sin.f64 y)) -1)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) y)) 1) (.f64 (log.f64 (sin.f64 y)) -1)))
(exp.f64 (-.f64 (log.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) y)) 1) (.f64 (neg.f64 (log.f64 (sin.f64 y))) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 y (cosh.f64 x)))))

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 (sin.f64 y) (/.f64 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))
(+.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 (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (/.f64 (sin.f64 y) y)) (.f64 1/24 (/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y)))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.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 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (.f64 (/.f64 1/720 y) (*.f64 (sin.f64 y) (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 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.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 (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 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (*.f64 y y))))
(+.f64 (.f64 -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 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 (.f64 y y) (fma.f64 -1/12 (exp.f64 x) (/.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 -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 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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/10080 (pow.f64 y 6)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/12 (.f64 y y)) (.f64 1/240 (pow.f64 y 4)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(+.f64 0 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(+.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)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))
(+.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)))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 1)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (cosh.f64 x) (.f64 (/.f64 1 y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.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))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.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))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (sqrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 (/.f64 (cosh.f64 x) y) (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 1 (/.f64 -1 (sin.f64 y))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 1 (sin.f64 y))) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.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))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1) (/.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 1 (sin.f64 y))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 1 (sin.f64 y)))))
(.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 1 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) y)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 1 y)) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (/.f64 1 (sin.f64 y)))))
(.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 1 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) y)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 1 y)) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(.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))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(*.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)))))
(.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 1 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) y)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 1 y)) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (/.f64 1 y) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.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)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) -1) (neg.f64 (sin.f64 y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2) 1/2)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3) 1/3)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 2)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (cosh.f64 x))) -1)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) -3)))
(pow.f64 (*.f64 (/.f64 y (cosh.f64 x)) (/.f64 1 (sin.f64 y))) -1)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -1)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (cosh.f64 x))) 1) -1)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)) 1/3)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) y) 3)) 1/3)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (cosh.f64 x) y))) 3)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (cosh.f64 x) y))) 2)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(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)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(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)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (sqrt.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(neg.f64 (/.f64 (/.f64 (cosh.f64 x) y) (/.f64 -1 (sin.f64 y))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) -3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 1))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 1/3))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 3))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 2))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) -1))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 1) 1))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 y (sin.f64 y)))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) y)) 1) (neg.f64 (log.f64 (sin.f64 y)))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (log.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (log.f64 (sin.f64 y)) -1)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) y)) 1) (.f64 (log.f64 (sin.f64 y)) -1)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (log.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) y)) 1) (.f64 (neg.f64 (log.f64 (sin.f64 y))) 1)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 y (cosh.f64 x)))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite35.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
420×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
401×	`add-log-exp_binary64`
401×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1147	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1079×	`log-prod_binary64`
445×	`associate-l_binary64`
384×	`associate-r_binary64`
322×	`associate-+l+_binary64`
306×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	216
1	101	206
2	358	191
3	3053	191
4	6340	191

Stop Event

1×	node limit

Counts

26 → 18

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 0 (.f64 1/2 (.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)))))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))

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 0 (.f64 1/2 (.f64 x x)))
(.f64 1/2 (.f64 x x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)))))
(.f64 1/2 (.f64 x x))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 1/2 (.f64 x x))
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(.f64 1/2 (.f64 x x))
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) 1/3)
(.f64 1/2 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(.f64 1/2 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(.f64 1/2 (.f64 x x))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(.f64 1/2 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(.f64 1/2 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))
(exp.f64 (log.f64 (.f64 1/2 (.f64 x x))))
(.f64 1/2 (.f64 x x))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/12 (.f64 y y))
✓	11.6b	(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))

Compiler

Compiled 35 to 17 computations (51.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
1.0ms	y	@	0	(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
1.0ms	x	@	0	(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
0.0ms	x	@	inf	(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
0.0ms	y	@	inf	(.f64 -1/12 (.f64 y y))

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`log-prod_binary64`
409×	`prod-exp_binary64`
371×	`exp-prod_binary64`
312×	`pow-prod-down_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	214	21
2	2641	21

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
(.f64 -1/12 (.f64 y y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 -1/12)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 -1/12)) x) 2) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (*.f64 x (*.f64 y (sqrt.f64 -1/12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 x (*.f64 y (sqrt.f64 -1/12))) 2) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 y 6) -1/1728 1/8) (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 -1/12 y)) (fma.f64 y (*.f64 -1/12 y) -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 y 4) 1/144)) (*.f64 x x)) (-.f64 1/2 (*.f64 y (*.f64 -1/12 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 y 6) -1/1728 1/8)) (fma.f64 (*.f64 y (*.f64 -1/12 y)) (fma.f64 y (*.f64 -1/12 y) -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (pow.f64 y 4) 1/144))) (-.f64 1/2 (*.f64 y (*.f64 -1/12 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)) 1) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)) 1) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)) 1) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (*.f64 (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) x)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 -1/12)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 -1/12 y)) (*.f64 x x) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 (pow.f64 (*.f64 x (*.f64 y (sqrt.f64 -1/12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 y (*.f64 -1/12 y)) (*.f64 (*.f64 x x) 1/2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (*.f64 y y)) (*.f64 -1/24 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 -1/12 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) (*.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 -1/12 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 -1/12 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 4) 1/144) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 -1/12 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 6) -1/1728) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (*.f64 -1/12 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 -1/12 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (*.f64 -1/12 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 -1/12 y))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 -1/12 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/12) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 -1/12 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 6) -1/1728))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 -1/12 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 -1/12 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 -1/12 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 -1/12 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 -1/12 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 -1/12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y 6) -1/1728)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 -1/12 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 -1/12 y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 -1/12 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 -1/12 y)) (*.f64 (log.f64 y) 1)))))))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

683×	`times-frac_binary64`
380×	`associate-l_binary64`
355×	`associate-r_binary64`
310×	`fma-def_binary64`
288×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	1867
1	493	1458
2	1165	1448
3	4374	1448

Stop Event

1×	node limit

Counts

111 → 105

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(*.f64 -1/12 (pow.f64 y 2))
(+.f64 0 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x)))
(+.f64 (.f64 1/2 (.f64 x x)) (pow.f64 (.f64 (.f64 y (sqrt.f64 -1/12)) x) 2))
(+.f64 (pow.f64 (.f64 (.f64 y (sqrt.f64 -1/12)) x) 2) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 (.f64 x x) 1/2) (pow.f64 (.f64 x (.f64 y (sqrt.f64 -1/12))) 2))
(+.f64 (pow.f64 (.f64 x (.f64 y (sqrt.f64 -1/12))) 2) (.f64 (.f64 x x) 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x)))) 1)
(/.f64 (.f64 (fma.f64 (pow.f64 y 6) -1/1728 1/8) (.f64 x x)) (fma.f64 (.f64 y (.f64 -1/12 y)) (fma.f64 y (*.f64 -1/12 y) -1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 y 4) 1/144)) (.f64 x x)) (-.f64 1/2 (.f64 y (*.f64 -1/12 y))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 y 6) -1/1728 1/8)) (fma.f64 (.f64 y (.f64 -1/12 y)) (fma.f64 y (*.f64 -1/12 y) -1/2) 1/4))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 (pow.f64 y 4) 1/144))) (-.f64 1/2 (.f64 y (*.f64 -1/12 y))))
(pow.f64 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x)) 1)
(pow.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/12 (.f64 y y) 1/2))) 4) 1/2)
(pow.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/12 (.f64 y y) 1/2))) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x))) 3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/12 (.f64 y y) 1/2))) 2)
(pow.f64 (exp.f64 1) (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2)))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2))))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2)))))
(sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/12 (.f64 y y) 1/2))) 4))
(log.f64 (pow.f64 (exp.f64 x) (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/12 (.f64 y y) 1/2))) 6))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))))
(exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (.f64 x x)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)))) 2))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))) 1) 1))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2)) 1) (*.f64 2 (log.f64 x))))
(exp.f64 (+.f64 (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2)) (.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2)) 1) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2)) (.f64 (*.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2)) 1) (.f64 (.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 (fma.f64 -1/12 (*.f64 y y) 1/2) x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 2) (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2))))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2))))
(exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 2) (.f64 (log.f64 (fma.f64 -1/12 (*.f64 y y) 1/2)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (.f64 (log.f64 (fma.f64 -1/12 (.f64 y y) 1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) x)) (*.f64 (log.f64 x) 1)))
(fma.f64 1/2 (.f64 x x) (pow.f64 (.f64 (*.f64 y (sqrt.f64 -1/12)) x) 2))
(fma.f64 (.f64 y (.f64 -1/12 y)) (.f64 x x) (.f64 1/2 (*.f64 x x)))
(fma.f64 (.f64 x x) 1/2 (pow.f64 (.f64 x (*.f64 y (sqrt.f64 -1/12))) 2))
(fma.f64 (.f64 x x) (.f64 y (.f64 -1/12 y)) (.f64 (*.f64 x x) 1/2))
(+.f64 (.f64 -1/24 (.f64 y y)) (.f64 -1/24 (.f64 y y)))
(+.f64 0 (.f64 y (.f64 -1/12 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) (.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) (.f64 y y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 -1/12 y)))) 1)
(pow.f64 (.f64 y (.f64 -1/12 y)) 1)
(pow.f64 (*.f64 (pow.f64 y 4) 1/144) 1/2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 -1/12 y))) 3)
(pow.f64 (*.f64 y (sqrt.f64 -1/12)) 2)
(pow.f64 (*.f64 (pow.f64 y 6) -1/1728) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (.f64 y (.f64 -1/12 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 -1/12 y)))) 2)) (cbrt.f64 (log.f64 (.f64 y (.f64 -1/12 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 -1/12 y))))) (sqrt.f64 (log.f64 (.f64 y (.f64 -1/12 y)))))
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/144))
(log.f64 (pow.f64 (exp.f64 -1/12) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 -1/12 y)))))
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/1728))
(expm1.f64 (log1p.f64 (.f64 y (.f64 -1/12 y))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 -1/12 y))))
(exp.f64 (log.f64 (.f64 y (.f64 -1/12 y))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 -1/12 y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 -1/12 y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 -1/12))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y 6) -1/1728)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 -1/12 y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 -1/12 y))) 3) 1/3))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 -1/12 y))))
(exp.f64 (+.f64 (log.f64 (.f64 -1/12 y)) (.f64 (log.f64 y) 1)))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 x 1/2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(.f64 -1/12 (.f64 x (.f64 x (.f64 y y))))
(pow.f64 (.f64 (sqrt.f64 -1/12) (.f64 x y)) 2)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 -1/12 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(.f64 -1/12 (.f64 x (.f64 x (.f64 y y))))
(pow.f64 (.f64 (sqrt.f64 -1/12) (.f64 x y)) 2)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(.f64 (+.f64 1/2 (.f64 -1/12 (pow.f64 y 2))) (pow.f64 x 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(*.f64 -1/12 (pow.f64 y 2))
(.f64 -1/12 (.f64 y y))
(+.f64 0 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (.f64 1/2 (.f64 x x)) (pow.f64 (.f64 (.f64 y (sqrt.f64 -1/12)) x) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (pow.f64 (.f64 (.f64 y (sqrt.f64 -1/12)) x) 2) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (.f64 (.f64 x x) 1/2) (pow.f64 (.f64 x (.f64 y (sqrt.f64 -1/12))) 2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (pow.f64 (.f64 x (.f64 y (sqrt.f64 -1/12))) 2) (.f64 (.f64 x x) 1/2))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (fma.f64 -1/12 (.f64 y y) 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (fma.f64 -1/12 (.f64 y y) 1/2))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2))))))
(.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2))))) 3)
(.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) x)))))
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -1/12 (.f64 y y) 1/2) (*.f64 x x)))) 1)
(fma.f64 1/2 (.f64 x x) (.f64 -1/12 (.f64 (.f64 y y) (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 -1/12 (*.f64 y y) 1/2)))
(.f64 x (.f64 x (fma.f64 y (*.f64 -1/12 y) 1/2)))
(/.f64 (.f64 (fma.f64 (pow.f64 y 6) -1/1728 1/8) (.f64 x x)) (fma.f64 (.f64 y (.f64 -1/12 y)) (fma.f64 y (*.f64 -1/12 y) -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 y 6) -1/1728 1/8) (/.f64 (fma.f64 (.f64 y (.f64 -1/12 y)) (fma.f64 y (.f64 -1/12 y) -1/2) 1/4) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 y 6) -1/1728 1/8) (fma.f64 (.f64 -1/12 (.f64 y y)) (fma.f64 y (.f64 -1/12 y) -1/2) 1/4)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 y 6) -1/1728 1/8) (fma.f64 y (.f64 -1/12 (.f64 y (fma.f64 -1/12 (*.f64 y y) -1/2))) 1/4)))
(.f64 (/.f64 x (fma.f64 y (.f64 -1/12 (.f64 y (fma.f64 -1/12 (.f64 y y) -1/2))) 1/4)) (*.f64 x (fma.f64 (pow.f64 y 6) -1/1728 1/8)))
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localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`pow1_binary64`
519×	`add-sqr-sqrt_binary64`
500×	`add-log-exp_binary64`
500×	`log1p-expm1-u_binary64`
500×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	118	6
2	1396	6

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-neg_binary64`
437×	`fma-def_binary64`
366×	`associate-/l/_binary64`
299×	`log-prod_binary64`
248×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	226
1	153	224
2	447	220
3	2232	220
4	7484	220

Stop Event

1×	node limit

Counts

33 → 34

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 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 -1 (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) -1) (neg.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.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 -1/5040 (pow.f64 y 6) (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 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 -1 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) -1) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(/.f64 (sin.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(/.f64 (sin.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) 1/2)
✓	0.2b	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
✓	5.8b	(.f64 y (.f64 (*.f64 x x) 1/2))
✓	27.2b	(/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y y))

Compiler

Compiled 63 to 26 computations (58.7% saved)

series10.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary64`
362×	`fma-def_binary64`
343×	`pow2_binary64`
267×	`pow-unpow_binary64`
238×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	262	56
2	3706	56

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

689×	`fma-neg_binary64`
459×	`associate-/r*_binary64`
352×	`log-prod_binary64`
265×	`associate-/l/_binary64`
245×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	2786
1	768	2640
2	2954	2564
3	7986	2564

Stop Event

1×	node limit

Counts

191 → 186

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 y (pow.f64 x 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 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (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 1/2 (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 0 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2)))) 1)
(.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2))
(.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)) 1)
(.f64 1 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) 2)) (.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (pow.f64 y -2)))
(.f64 (cbrt.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2))) (pow.f64 (cbrt.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2))) 2) (cbrt.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2))))
(.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (pow.f64 y -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) y) (/.f64 (sqrt.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1))) y))
(.f64 (neg.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (/.f64 1 (.f64 y (neg.f64 y))))
(.f64 (pow.f64 y -2) (.f64 y (fma.f64 x (*.f64 x 1/2) 1)))
(.f64 (/.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) y) (/.f64 1 y))
(.f64 (/.f64 1 y) (/.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) y))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) 2)) y) (/.f64 (cbrt.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1))) y))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) 2)) 1) (/.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (.f64 y y)))
(.f64 (/.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) 1) (/.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (.f64 y y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) 2)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2))))
(.f64 (/.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (cbrt.f64 (pow.f64 y 4))) (/.f64 (sqrt.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1))) (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2)) 1)
(pow.f64 (/.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) 2) (pow.f64 y 4)) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) y) 2)
(pow.f64 (/.f64 y (/.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) y)) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) 3) (pow.f64 (pow.f64 y 3) 2)) 1/3)
(pow.f64 (/.f64 (/.f64 y (/.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) y)) 1) -1)
(neg.f64 (/.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (*.f64 y (neg.f64 y))))
(sqrt.f64 (/.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) 2) (pow.f64 y 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) 3) (pow.f64 (pow.f64 y 3) 2)))
(expm1.f64 (log1p.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2))))
(exp.f64 (log.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2))) 1))
(+.f64 0 (.f64 (.f64 y x) (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y x) (*.f64 x 1/2)))) 1)
(pow.f64 (.f64 (.f64 y x) (*.f64 x 1/2)) 1)
(pow.f64 (pow.f64 (.f64 (.f64 y x) (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (cbrt.f64 (.f64 (.f64 y x) (*.f64 x 1/2))) 3)
(pow.f64 (.f64 (sqrt.f64 y) (.f64 x (sqrt.f64 1/2))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 (*.f64 y x) x) 3) 1/8) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 y x) (*.f64 x 1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y x) (*.f64 x 1/2)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 y x) x) 3) 1/8))
(expm1.f64 (log1p.f64 (.f64 (.f64 y x) (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 y x) (*.f64 x 1/2))))
(exp.f64 (log.f64 (.f64 (.f64 y x) (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 y x) (.f64 x 1/2))) 1))
(+.f64 0 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y))))) 1)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) y)))
(/.f64 1 (/.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (sin.f64 y))))
(/.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (sin.f64 y)) (.f64 y y))
(/.f64 (neg.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (sin.f64 y))) (.f64 y (neg.f64 y)))
(/.f64 (/.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (sin.f64 y)) y) y)
(/.f64 (/.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (sin.f64 y)) 1) (.f64 y y))
(/.f64 (/.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (sin.f64 y)) (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (.f64 (neg.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (sin.f64 y)) (.f64 y (neg.f64 y)))
(/.f64 (.f64 (/.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) y) (sin.f64 y)) y)
(/.f64 (.f64 (sin.f64 y) (neg.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)))) (.f64 y (neg.f64 y)))
(/.f64 (.f64 (sin.f64 y) (/.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) y)) y)
(pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y))) 1)
(pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (sin.f64 y)) 2) (pow.f64 y 4)) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (sin.f64 y))) y) 2)
(pow.f64 (.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)) 3) (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)) 3)) 1/3)
(pow.f64 (/.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (sin.f64 y))) -1)
(sqrt.f64 (/.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (sin.f64 y)) 2) (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)) 3) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y)))))
(exp.f64 (log.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (*.f64 (pow.f64 y -2) (sin.f64 y)))) 1))
(+.f64 0 (.f64 x (.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2)))) 1)
(pow.f64 (.f64 x (.f64 x 1/2)) 1)
(pow.f64 (*.f64 1/4 (pow.f64 x 4)) 1/2)
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) 3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/2))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/2))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/2))) 1))

Outputs
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) 1) y))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) y)
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 1/2 (/.f64 (.f64 x x) y))
(/.f64 (*.f64 x x) (/.f64 y 1/2))
(.f64 1/2 (.f64 (/.f64 x y) x))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 1/2 (/.f64 (.f64 x x) y))
(/.f64 (*.f64 x x) (/.f64 y 1/2))
(.f64 1/2 (.f64 (/.f64 x y) x))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
(fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 x (*.f64 x y)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 x (*.f64 x y)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 x (*.f64 x y)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 x (*.f64 x y)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 x (*.f64 x y)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 x (*.f64 x y)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
(.f64 1/2 (.f64 x (*.f64 x y)))
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(/.f64 (fma.f64 x (*.f64 1/2 x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(sqrt.f64 (/.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (sin.f64 y)) 2) (pow.f64 y 4)))
(sqrt.f64 (/.f64 (pow.f64 (.f64 y (.f64 (fma.f64 x (*.f64 1/2 x) 1) (sin.f64 y))) 2) (pow.f64 y 4)))
(sqrt.f64 (pow.f64 (.f64 1 (/.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y (sin.f64 y)))) 2))
(fabs.f64 (.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (pow.f64 y -2))))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y))))))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(cbrt.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y))) 3))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)) 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (pow.f64 y -2)) 3)))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(expm1.f64 (log1p.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y)))))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y)))))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (.f64 (pow.f64 y -2) (sin.f64 y)))))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (*.f64 (pow.f64 y -2) (sin.f64 y)))) 1))
(/.f64 (fma.f64 x (*.f64 1/2 x) 1) (/.f64 y (sin.f64 y)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 y (sin.f64 y)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (sin.f64 y) y))
(+.f64 0 (.f64 x (.f64 x 1/2)))
(.f64 1/2 (.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2)))) 1)
(.f64 1/2 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 1/2)) 1)
(.f64 1/2 (.f64 x x))
(pow.f64 (*.f64 1/4 (pow.f64 x 4)) 1/2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 3) 1/3)
(.f64 1/2 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) 3)
(.f64 1/2 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(.f64 1/2 (.f64 x x))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))))
(.f64 1/2 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 3))
(.f64 1/2 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/2))) 1))
(.f64 1/2 (.f64 x x))

eval154.0ms (1.8%)

Compiler: Compiled 9155 to 4868 computations (46.8% saved)

prune311.0ms (3.7%)

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	548	11	559
Fresh	4	4	8
Picked	0	1	1
Done	2	8	10
Total	554	24	578

Error

Counts

578 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	16.6b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
	3.0b	(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
✓	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
	1.9b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	1.4b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
	28.5b	(/.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (sin.f64 y)) (.f64 y y))
	1.8b	(/.f64 (sin.f64 y) y)
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	1.8b	(/.f64 1 (/.f64 y (sin.f64 y)))
	61.1b	(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
✓	29.6b	(+.f64 1 (.f64 x (.f64 x 1/2)))
	30.5b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
✓	0.2b	(*.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))
✓	1.8b	(*.f64 (/.f64 1 y) (sin.f64 y))
✓	62.0b	(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
✓	28.7b	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
	29.3b	(.f64 (sin.f64 y) (.f64 (neg.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (/.f64 1 (*.f64 y (neg.f64 y)))))
✓	29.1b	(*.f64 (cosh.f64 x) 1)
✓	61.0b	(.f64 1/2 (.f64 x x))
	62.4b	(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
	62.4b	(.f64 -1/12 (.f64 x (.f64 x (.f64 y y))))
	20.6b	(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
	18.6b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	30.0b	1

Compiler

Compiled 254 to 183 computations (28% saved)

regimes130.0ms (1.5%)

Counts

49 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(.f64 -1/12 (.f64 x (.f64 x (.f64 y y))))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(.f64 (sin.f64 y) (.f64 (/.f64 x y) (*.f64 x 1/2)))
(/.f64 (cosh.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (.f64 x (.f64 x 1/2))))
(*.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 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (sin.f64 y)) (.f64 y y))
(.f64 (sin.f64 y) (.f64 (neg.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (/.f64 1 (*.f64 y (neg.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) (sin.f64 y)) (cbrt.f64 y))
(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(*.f64 (cosh.f64 x) (sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (/.f64 1 y) (pow.f64 (sqrt.f64 (.f64 (cosh.f64 x) (sin.f64 y))) 2))
(.f64 (sin.f64 y) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y))))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(.f64 (sin.f64 y) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y))))

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

Calls

5 calls:

37.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
33.0ms	(/.f64 (sin.f64 y) y)
22.0ms	y
22.0ms	x
3.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))`
0.1b	1	`(cosh.f64 x)`
0.1b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 508 to 242 computations (52.4% saved)

regimes41.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(.f64 -1/12 (.f64 x (.f64 x (.f64 y y))))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(.f64 (sin.f64 y) (.f64 (/.f64 x y) (*.f64 x 1/2)))
(/.f64 (cosh.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (.f64 x (.f64 x 1/2))))

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

Calls

4 calls:

12.0ms	x
11.0ms	y
9.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`y`
1.3b	1	`(cosh.f64 x)`
1.3b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 214 to 118 computations (44.9% saved)

regimes37.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(.f64 -1/12 (.f64 x (.f64 x (.f64 y y))))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(.f64 (sin.f64 y) (.f64 (/.f64 x y) (*.f64 x 1/2)))
(/.f64 (cosh.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))

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

Calls

4 calls:

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

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`y`
1.3b	1	`(cosh.f64 x)`
1.3b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 164 to 92 computations (43.9% saved)

regimes35.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(.f64 -1/12 (.f64 x (.f64 x (.f64 y y))))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(.f64 (cosh.f64 x) (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(.f64 (sin.f64 y) (.f64 (/.f64 x y) (*.f64 x 1/2)))
(/.f64 (cosh.f64 x) (+.f64 1 (.f64 (.f64 y y) 1/6)))

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

Calls

4 calls:

11.0ms	x
10.0ms	y
7.0ms	(/.f64 (sin.f64 y) y)
3.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.8b	1	`x`
1.8b	1	`y`
1.8b	1	`(cosh.f64 x)`
1.8b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 140 to 79 computations (43.6% saved)

regimes17.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(.f64 -1/12 (.f64 x (.f64 x (.f64 y y))))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))
(*.f64 (cosh.f64 x) 1)

Outputs
(*.f64 (cosh.f64 x) 1)

Calls

3 calls:

6.0ms	x
6.0ms	y
3.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
29.1b	1	`x`
29.1b	1	`y`
29.1b	1	`(cosh.f64 x)`

Compiler

Compiled 74 to 44 computations (40.5% saved)

regimes16.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(.f64 -1/12 (.f64 x (.f64 x (.f64 y y))))
(.f64 -1/12 (.f64 (.f64 y y) (.f64 x x)))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 1)
(.f64 (+.f64 1/2 (.f64 -1/12 (.f64 y y))) (.f64 x x))

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

Calls

2 calls:

8.0ms	x
6.0ms	y

Results

Error	Segments	Branch
29.6b	1	`x`
29.6b	1	`y`

Compiler

Compiled 66 to 38 computations (42.4% saved)

regimes9.0ms (0.1%)

Accuracy

Total -32.3b remaining (-107.6%)

Threshold costs -32.3b (-107.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
30.0b	1	`x`
30.0b	1	`y`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	70
1	32	70

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 61 to 44 computations (27.9% saved)

soundness0.0ms (0%)

end40.0ms (0.5%)

Compiler: Compiled 49 to 27 computations (44.9% saved)