Details

analyze145.0ms (1.7%)

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)

sample3.9s (45%)

Results

1.1s	2057×	body	1024	valid
948.0ms	5155×	body	256	valid
920.0ms	2152×	body	1024	infinite
337.0ms	991×	body	512	infinite
292.0ms	1039×	body	512	valid
288.0ms	1518×	body	256	infinite
6.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess72.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify76.0ms (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))

eval0.0ms (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
▶	0.3b	(*.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 3 expressions with local error:

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

series33.0ms (0.4%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	x	@	inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	y	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms	x	@	-inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms	y	@	inf	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

rewrite54.0ms (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	20
1	149	20
2	2033	20

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-/r/_binary64`
312×	`log-prod_binary64`
252×	`associate-r_binary64`
242×	`associate-l_binary64`
237×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	1748
1	616	1682
2	3245	1136

Stop Event

1×	node limit

Counts

109 → 132

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))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(-.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)))))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (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)))
(+.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) (+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.f64 (/.f64 1/24 y) (.f64 (sin.f64 y) (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))) (.f64 (/.f64 1/24 y) (.f64 (sin.f64 y) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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))))
(+.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 -1/12 (*.f64 y y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -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 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.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 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 (pow.f64 y 6) -1/10080))) (.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.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 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (sqrt.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 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 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)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.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)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 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)
(-.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 1)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 (/.f64 y (sin.f64 y)) 2))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (neg.f64 y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (sin.f64 y) (.f64 2 (cosh.f64 x))) (*.f64 y 2))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 2 (cosh.f64 x))) (*.f64 (neg.f64 y) 2))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (sin.f64 y)) (*.f64 2 y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) 1) (*.f64 2 (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 2 (neg.f64 y)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) y)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) 2)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 2 (cosh.f64 x))) 2)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.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 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.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 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.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 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.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 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.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 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.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 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.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 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite63.0ms (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))
(*.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 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 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (.f64 1/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 1 y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (.f64 1/2 (/.f64 (.f64 x x) y))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(fma.f64 1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))))
(+.f64 (/.f64 1 y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (.f64 1/2 (/.f64 (.f64 x x) y)))))
(+.f64 (/.f64 1 y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/2 (/.f64 x (/.f64 y x)) (*.f64 1/24 (/.f64 (pow.f64 x 4) y)))))
(fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y))))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y 1/2))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
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(/.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)

eval85.0ms (1%)

Compiler: Compiled 4002 to 1677 computations (58.1% saved)

prune70.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	253	15	268
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	255	15	270

Error

Counts

270 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	15.8b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
	1.1b	(/.f64 (sin.f64 y) y)
	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	30.3b	(*.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) (/.f64 (cosh.f64 x) y))
	30.2b	(*.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (/.f64 (cosh.f64 x) y))
	1.4b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
	1.2b	(*.f64 (sin.f64 y) (/.f64 1 y))
▶	0.9b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
	1.3b	(.f64 (sin.f64 y) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y))))
	29.4b	(.f64 (sin.f64 y) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y))))
▶	30.3b	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
	17.0b	(*.f64 (cosh.f64 x) (exp.f64 (log.f64 (/.f64 (sin.f64 y) y))))
▶	31.7b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 342 to 248 computations (27.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
✓	0.1b	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
✓	0.2b	(expm1.f64 (sin.f64 y))
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 y)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series4.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(expm1.f64 (sin.f64 y))
0.0ms	y	@	0	(log1p.f64 (expm1.f64 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
0.0ms	y	@	-inf	(expm1.f64 (sin.f64 y))
0.0ms	y	@	inf	(expm1.f64 (sin.f64 y))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
851×	`add-log-exp_binary64`
851×	`expm1-log1p-u_binary64`
850×	`log1p-expm1-u_binary64`
831×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	171	25
2	2241	25

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (sin.f64 y)))
(expm1.f64 (sin.f64 y))
(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

501×	`distribute-rgt-in_binary64`
358×	`log-prod_binary64`
275×	`associate-r_binary64`
243×	`associate-l_binary64`
230×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	1814
1	720	1702
2	3627	1571

Stop Event

1×	node limit

Counts

155 → 162

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.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 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) -1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 (expm1.f64 (sin.f64 y)) 1)
(*.f64 1 (expm1.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (.f64 (exp.f64 (sin.f64 y)) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))
(pow.f64 (expm1.f64 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 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 (/.f64 (sin.f64 y) y)) (cosh.f64 x)))
(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
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (.f64 1/2 (.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 y (fma.f64 1/2 (.f64 y y) (.f64 -1/8 (pow.f64 y 4))))
(+.f64 (fma.f64 1/2 (.f64 y y) y) (.f64 -1/8 (pow.f64 y 4)))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 5) -1/15))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 (pow.f64 y 5) -1/15 (.f64 y (.f64 y 1/2)))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.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 (.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))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 1/2 (/.f64 y (.f64 (sin.f64 y) (*.f64 x x))))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (*.f64 (/.f64 (sin.f64 y) 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 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.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 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
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(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(+.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.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 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.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 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.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 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x)))
(+.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.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 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.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 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.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 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(+.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(+.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(+.f64 (+.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) -1)
(+.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

localize4.0ms (0%)

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 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))))
✓	6.2b	(/.f64 (*.f64 x x) y)

Compiler

Compiled 51 to 22 computations (56.9% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite70.0ms (0.8%)

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	44
1	262	40
2	3715	40

Stop Event

1×	node limit

Counts

3 → 175

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)))

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

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

934×	`times-frac_binary64`
297×	`log-prod_binary64`
275×	`associate-l_binary64`
270×	`associate-r_binary64`
192×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	4664
1	1155	4260
2	4072	4234

Stop Event

1×	node limit

Counts

247 → 274

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.2b	(*.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) (/.f64 (cosh.f64 x) y))
✓	0.4b	(+.f64 1 (sin.f64 y))
✓	2.8b	(-.f64 (+.f64 1 (sin.f64 y)) 1)

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
355×	`pow-prod-down_binary64`
317×	`fma-def_binary64`
278×	`pow2_binary64`
262×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	225	20
2	3335	20

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

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

Outputs

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

simplify117.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

471×	`fma-neg_binary64`
463×	`cancel-sign-sub-inv_binary64`
269×	`div-sub_binary64`
207×	`associate-r_binary64`
207×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	453	3625
1	1111	3573
2	4332	3573

Stop Event

1×	node limit

Counts

236 → 287

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(+.f64 1 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(*.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 (+.f64 (sin.f64 y) -1))
(+.f64 1 (*.f64 (+.f64 (sin.f64 y) -1) 1))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(+.f64 0 (sin.f64 y))
(+.f64 -1 (+.f64 1 (sin.f64 y)))
(+.f64 (+.f64 (sin.f64 y) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(*.f64 1 (sin.f64 y))
(*.f64 (sin.f64 y) 1)
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(fma.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (/.f64 1 y) (cosh.f64 x) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 1 y) (cosh.f64 x) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cosh.f64 x) (cbrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cosh.f64 x) (cbrt.f64 y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (pow.f64 y -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (pow.f64 y -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y 1))
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) 1)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) 1))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/6 (pow.f64 y 3) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) 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))))
(+.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 -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))))
(+.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 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 (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))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))))
(+.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)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (.f64 1/720 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (/.f64 (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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) y)
(+.f64 1 (+.f64 (sin.f64 y) -1))
(sin.f64 y)
(+.f64 1 (*.f64 (+.f64 (sin.f64 y) -1) 1))
(sin.f64 y)
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(sin.f64 y)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 -1 (+.f64 1 (sin.f64 y)))
(sin.f64 y)
(+.f64 (+.f64 (sin.f64 y) -1) 1)
(sin.f64 y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sin.f64 y)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sin.f64 y)))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 2) (+.f64 (sin.f64 y) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sin.f64 y)))) (+.f64 (sin.f64 y) (+.f64 2 (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 y)))) (/.f64 1 (+.f64 (sin.f64 y) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sin.f64 y)))) (+.f64 (sin.f64 y) 2))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (sin.f64 y)))))
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(fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (.f64 (/.f64 1 y) (cbrt.f64 (cosh.f64 x))) (/.f64 (.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (/.f64 (cbrt.f64 (cosh.f64 x)) y) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (/.f64 (cbrt.f64 (cosh.f64 x)) y) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 y)) (.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 y)) (.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (/.f64 1 y) (cosh.f64 x) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (/.f64 1 y) (cosh.f64 x) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (.f64 (/.f64 1 y) (cbrt.f64 (cosh.f64 x))) (/.f64 (.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (/.f64 (cbrt.f64 (cosh.f64 x)) y) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (/.f64 (cbrt.f64 (cosh.f64 x)) y) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (.f64 (/.f64 1 y) (cbrt.f64 (cosh.f64 x))) (/.f64 (.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (/.f64 (cbrt.f64 (cosh.f64 x)) y) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (/.f64 (cbrt.f64 (cosh.f64 x)) y) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cosh.f64 x) (cbrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cosh.f64 x) (cbrt.f64 y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cosh.f64 x) (cbrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cosh.f64 x) (cbrt.f64 y)) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (pow.f64 y -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (pow.f64 y -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (pow.f64 y -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (pow.f64 y -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (pow.f64 y -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (pow.f64 y -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (pow.f64 y -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (*.f64 (+.f64 (sin.f64 y) -1) (/.f64 (cosh.f64 x) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)) (/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x))))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.1b	(exp.f64 (sin.f64 y))
✓	0.2b	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
✓	2.8b	(log.f64 (exp.f64 (sin.f64 y)))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series39.0ms (0.5%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	y	@	-inf	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
0.0ms	y	@	0	(log.f64 (exp.f64 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
0.0ms	x	@	0	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
0.0ms	x	@	-inf	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) y))

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`pow1_binary64`
832×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	172	19
2	2208	19

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

622×	`unswap-sqr_binary64`
499×	`associate-/r*_binary64`
367×	`distribute-rgt-in_binary64`
351×	`distribute-lft-in_binary64`
223×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1357
1	467	1285
2	2135	1130

Stop Event

1×	node limit

Counts

100 → 114

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(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))
1
(+.f64 1 y)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 0 (sin.f64 y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 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 (exp.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) 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 1 (expm1.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (exp.f64 (sin.f64 y))) 1)
(*.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 1 (exp.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2)) (cbrt.f64 (exp.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (exp.f64 1) (sin.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y))))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.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))))
(+.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 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (.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)))))))
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(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(-.f64 (+.f64 1 (exp.f64 (sin.f64 y))) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (exp.f64 (sin.f64 y)) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 1 (exp.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2)) (cbrt.f64 (exp.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2)) (cbrt.f64 (exp.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 1) (sin.f64 y))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))

eval389.0ms (4.5%)

Compiler: Compiled 17279 to 8024 computations (53.6% saved)

prune262.0ms (3%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	957	13	970
Fresh	8	2	10
Picked	0	1	1
Done	2	2	4
Total	967	18	985

Error

Counts

985 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	15.7b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)
	0.9b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
▶	0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
	1.1b	(/.f64 (sin.f64 y) y)
▶	30.2b	(+.f64 (/.f64 (cosh.f64 x) y) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
▶	32.2b	(+.f64 1 (.f64 x (.f64 x 1/2)))
	2.1b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
	30.6b	(*.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) (/.f64 1 y))
	30.5b	(.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
▶	33.1b	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
▶	1.2b	(*.f64 (sin.f64 y) (/.f64 1 y))
	2.0b	(.f64 (sin.f64 y) (+.f64 (.f64 x (*.f64 x (/.f64 1/2 y))) (pow.f64 (/.f64 1 (cbrt.f64 y)) 3)))
	1.0b	(.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	30.3b	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
	30.6b	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 1 y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
✓	31.7b	(*.f64 (cosh.f64 x) 1)
	32.2b	(.f64 y (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))

Compiler

Compiled 438 to 313 computations (28.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
866×	`add-log-exp_binary64`
865×	`log1p-expm1-u_binary64`
865×	`expm1-log1p-u_binary64`
846×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2266	17

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-def_binary64`
546×	`unswap-sqr_binary64`
324×	`associate-/l/_binary64`
263×	`log-prod_binary64`
209×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	2265
1	664	1626
2	2387	1441

Stop Event

1×	node limit

Counts

121 → 128

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 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
y
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y)
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) y))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 y) (.f64 -1/4 y)) (pow.f64 x 4))) (+.f64 y (.f64 -1 (.f64 (+.f64 (.f64 -1/48 y) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/24 y) (.f64 -1/4 y))) (*.f64 1/720 y))) (pow.f64 x 6))))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(.f64 1 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) (cosh.f64 x))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y (cosh.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (cosh.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y (cosh.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y (cosh.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (cosh.f64 x)))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (/.f64 y (cosh.f64 x)))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y (cosh.f64 x)))))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (cosh.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 1) (cosh.f64 x))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(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)
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) (cosh.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) 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 y (cosh.f64 x)) 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 y (cosh.f64 x))) 1)
(*.f64 y (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 y (cosh.f64 x)) 1)
(*.f64 1 (/.f64 y (cosh.f64 x)))
(*.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2) (cbrt.f64 (/.f64 y (cosh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) (sqrt.f64 (/.f64 y (cosh.f64 x))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (cosh.f64 x))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (cosh.f64 x)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (cosh.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 y (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 y (cosh.f64 x))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 y (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(.f64 (/.f64 y (.f64 2 (cosh.f64 x))) 2)
(pow.f64 (/.f64 y (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2)
(pow.f64 (/.f64 (cosh.f64 x) y) -1)
(neg.f64 (/.f64 y (neg.f64 (cosh.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 y (cosh.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cosh.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 y (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 y (cosh.f64 x))))

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

localize8.0ms (0.1%)

Compiler: Compiled 20 to 14 computations (30% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`pow1_binary64`
522×	`add-sqr-sqrt_binary64`
503×	`add-log-exp_binary64`
503×	`log1p-expm1-u_binary64`
503×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	120	6
2	1434	6

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

simplify45.0ms (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 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 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 (sin.f64 y) y)
(/.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 (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)

localize23.0ms (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)))
✓	10.3b	(.f64 y (.f64 (*.f64 x x) 1/2))
✓	31.5b	(/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y y))

Compiler

Compiled 63 to 26 computations (58.7% saved)

series11.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite67.0ms (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))))))

simplify96.0ms (1.1%)

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)))
(.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)))
(.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)))
(.f64 1/2 (.f64 y (pow.f64 x 2)))
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(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))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.2b	(*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1))
✓	0.3b	(+.f64 (sin.f64 y) -1)
✓	3.1b	(+.f64 (/.f64 (cosh.f64 x) y) (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))

Compiler

Compiled 40 to 15 computations (62.5% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`log-prod_binary64`
509×	`fma-def_binary64`
325×	`pow2_binary64`
265×	`fma-neg_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	231	37
2	3631	31

Stop Event

1×	node limit

Counts

3 → 244

Calls

Call 1

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

Outputs

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

simplify131.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

361×	`fma-neg_binary64`
337×	`fma-def_binary64`
329×	`associate-r_binary64`
307×	`log-prod_binary64`
289×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	591	6888
1	1634	6258
2	6346	6258

Stop Event

1×	node limit

Counts

304 → 363

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 2)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/24 (/.f64 1 y)) (.f64 1/24 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (.f64 1/720 (/.f64 1 y)) (.f64 1/720 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 6)) (+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/24 (/.f64 1 y)) (*.f64 1/24 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(/.f64 (+.f64 (.f64 -1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) y)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))))
(+.f64 (.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 2))) (+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))))
(+.f64 (.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 4))) (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) y)
(/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) y)
(/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) y)
(/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) y)
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)))) y))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)))) y))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)))) y))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 -1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)))) y))
-1
(-.f64 y 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(-.f64 (sin.f64 y) 1)
(/.f64 (-.f64 (sin.f64 y) 1) y)
(-.f64 (+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (-.f64 (sin.f64 y) 1) (pow.f64 x 2)) y))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (sin.f64 y) 1) (pow.f64 x 4)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (sin.f64 y) 1) (pow.f64 x 2)) y)))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (sin.f64 y) 1) (pow.f64 x 4)) y)) (+.f64 (.f64 1/720 (/.f64 (.f64 (-.f64 (sin.f64 y) 1) (pow.f64 x 6)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (sin.f64 y) 1) (pow.f64 x 2)) y))))) (/.f64 1 y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.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 2))) (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.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 4))) (+.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2) (.f64 (/.f64 (cosh.f64 x) y) (-.f64 1 (+.f64 (sin.f64 y) -1)))) (/.f64 (pow.f64 (.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)) 2) (*.f64 (/.f64 (cosh.f64 x) y) (-.f64 1 (+.f64 (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 (/.f64 (cosh.f64 x) y) (+.f64 1 (+.f64 (sin.f64 y) -1)))
(*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (+.f64 (sin.f64 y) -1) 1))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2)) (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.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 (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 (sin.f64 y)) (.f64 (sqrt.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 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)) (fma.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1) (/.f64 (neg.f64 (cosh.f64 x)) y)) (pow.f64 (/.f64 (cosh.f64 x) y) 2))))
(.f64 (-.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2) (pow.f64 (.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)) 2)) (/.f64 1 (*.f64 (/.f64 (cosh.f64 x) y) (-.f64 1 (+.f64 (sin.f64 y) -1)))))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(.f64 (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (sin.f64 y))) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (sin.f64 y))))
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 2)) (cbrt.f64 (+.f64 (sin.f64 y) -1)))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) -1)) (sqrt.f64 (+.f64 (sin.f64 y) -1)))
(.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (.f64 (sin.f64 y) -1))))
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (/.f64 1 (+.f64 (sin.f64 y) 1)))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 y)) 1) (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (*.f64 (sin.f64 y) -1)) (+.f64 -1 (pow.f64 (sin.f64 y) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 y) 1) (neg.f64 (pow.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 3)) (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (*.f64 (sin.f64 y) -1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) -1))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (+.f64 (sin.f64 y) 1))
(/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 -1 (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (*.f64 (sin.f64 y) -1))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) 2))) (neg.f64 (+.f64 (sin.f64 y) 1)))
(pow.f64 (+.f64 (sin.f64 y) -1) 1)
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) -1)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (*.f64 (sin.f64 y) -1)) (+.f64 -1 (pow.f64 (sin.f64 y) 3))) -1)
(pow.f64 (/.f64 (+.f64 (sin.f64 y) 1) (neg.f64 (pow.f64 (cos.f64 y) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 3))
(expm1.f64 (log.f64 (sin.f64 y)))
(expm1.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) -1)))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) -1)) 1))
(fma.f64 (sin.f64 y) 1 -1)
(fma.f64 1 (sin.f64 y) -1)
(fma.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)) -1)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) -1)
(+.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(+.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(+.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) 1))
(+.f64 0 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (sin.f64 y) -1)) (/.f64 (cosh.f64 x) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (sin.f64 y) -1)) (/.f64 (cosh.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sin.f64 y) -1)) (/.f64 (cosh.f64 x) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sin.f64 y) -1)) (/.f64 (cosh.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))) 1)
(/.f64 (cosh.f64 x) (/.f64 y (+.f64 (sin.f64 y) -1)))
(/.f64 (+.f64 (sin.f64 y) -1) (/.f64 y (cosh.f64 x)))
(/.f64 1 (/.f64 y (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 3)) (.f64 (/.f64 y (cosh.f64 x)) (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (.f64 (sin.f64 y) -1))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (/.f64 y (cosh.f64 x)) (+.f64 (sin.f64 y) 1)))
(/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) y)
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1))) (neg.f64 y))
(/.f64 (.f64 (cosh.f64 x) (+.f64 -1 (pow.f64 (sin.f64 y) 3))) (.f64 y (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (*.f64 (sin.f64 y) -1))))
(/.f64 (.f64 (neg.f64 (cosh.f64 x)) (+.f64 -1 (pow.f64 (sin.f64 y) 3))) (.f64 (neg.f64 y) (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (*.f64 (sin.f64 y) -1))))
(/.f64 (.f64 (cosh.f64 x) (neg.f64 (pow.f64 (cos.f64 y) 2))) (.f64 y (+.f64 (sin.f64 y) 1)))
(/.f64 (.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (pow.f64 (cos.f64 y) 2))) (.f64 (neg.f64 y) (+.f64 (sin.f64 y) 1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 3)) (cosh.f64 x)) (.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (*.f64 (sin.f64 y) -1)) y))
(/.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (cosh.f64 x)) (.f64 (+.f64 (sin.f64 y) 1) y))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 3)) 1) (.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (*.f64 (sin.f64 y) -1)) (/.f64 y (cosh.f64 x))))
(/.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) 1) (.f64 (+.f64 (sin.f64 y) 1) (/.f64 y (cosh.f64 x))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 3)) (neg.f64 (cosh.f64 x))) (.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (*.f64 (sin.f64 y) -1)) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (neg.f64 (cosh.f64 x))) (.f64 (+.f64 (sin.f64 y) 1) (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3) (pow.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) 3)) (+.f64 (pow.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2) (-.f64 (pow.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) 2) (.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2) (pow.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) 2)) (-.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) 1) y)
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (+.f64 (sin.f64 y) -1)) (neg.f64 y))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sin.f64 y) 3)) (/.f64 (cosh.f64 x) y)) (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (.f64 (sin.f64 y) -1)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (/.f64 (cosh.f64 x) y)) (+.f64 (sin.f64 y) 1))
(/.f64 (.f64 (/.f64 (cosh.f64 x) y) (+.f64 -1 (pow.f64 (sin.f64 y) 3))) (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 1) (.f64 (sin.f64 y) -1)))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) y) (neg.f64 (pow.f64 (cos.f64 y) 2))) (+.f64 (sin.f64 y) 1))
(/.f64 (*.f64 (+.f64 (sin.f64 y) -1) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1))) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)) 3) 1/3)
(pow.f64 (/.f64 y (*.f64 (cosh.f64 x) (+.f64 (sin.f64 y) -1))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (sin.f64 y) -1)) (/.f64 (cosh.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)))))
(log.f64 (.f64 (exp.f64 (/.f64 (neg.f64 (cosh.f64 x)) y)) (exp.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (cosh.f64 x) y) (+.f64 (sin.f64 y) -1))) 1))
(fma.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (cosh.f64 x) (.f64 (/.f64 1 y) -1) (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (/.f64 (cosh.f64 x) y) -1 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 -1 (/.f64 (cosh.f64 x) y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 1 (/.f64 (neg.f64 (cosh.f64 x)) y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 1 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2)) (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2)) (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) -1) (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.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 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) -1) (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sqrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) (sqrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1 (.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (cosh.f64 x)) y)) 2) (cbrt.f64 (/.f64 (neg.f64 (cosh.f64 x)) y)) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (cosh.f64 x)) y)) (sqrt.f64 (/.f64 (neg.f64 (cosh.f64 x)) y)) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (sin.f64 y))) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (sin.f64 y))) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (cosh.f64 x) y))) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (cosh.f64 x) y))) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (*.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (*.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (.f64 -1 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (/.f64 (cosh.f64 x) y)) (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 2)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (+.f64 (/.f64 1/2 y) (.f64 1/2 (/.f64 (+.f64 (sin.f64 y) -1) y))) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 x x) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/24 (/.f64 1 y)) (.f64 1/24 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 4))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (+.f64 (/.f64 1/2 y) (.f64 1/2 (/.f64 (+.f64 (sin.f64 y) -1) y))) (.f64 x x) (.f64 (+.f64 (/.f64 1/24 y) (.f64 1/24 (/.f64 (+.f64 (sin.f64 y) -1) y))) (pow.f64 x 4))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 x x) (.f64 (.f64 (pow.f64 x 4) 1/24) (/.f64 (sin.f64 y) y))))
(+.f64 (.f64 (+.f64 (.f64 1/720 (/.f64 1 y)) (.f64 1/720 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 6)) (+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/24 (/.f64 1 y)) (*.f64 1/24 (/.f64 (-.f64 (sin.f64 y) 1) y))) (pow.f64 x 4)))))
(fma.f64 (+.f64 (/.f64 1/720 y) (.f64 1/720 (/.f64 (+.f64 (sin.f64 y) -1) y))) (pow.f64 x 6) (+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (+.f64 (/.f64 1/2 y) (.f64 1/2 (/.f64 (+.f64 (sin.f64 y) -1) y))) (.f64 x x) (.f64 (+.f64 (/.f64 1/24 y) (*.f64 1/24 (/.f64 (+.f64 (sin.f64 y) -1) y))) (pow.f64 x 4)))))
(+.f64 (fma.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 x x) (.f64 (.f64 (pow.f64 x 4) 1/24) (/.f64 (sin.f64 y) y))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) 1/720) (pow.f64 x 6) (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(*.f64 1/2 (+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (+.f64 (sin.f64 y) -1))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(*.f64 1/2 (+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (+.f64 (sin.f64 y) -1))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(*.f64 1/2 (+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (+.f64 (sin.f64 y) -1))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(*.f64 1/2 (+.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (+.f64 (sin.f64 y) -1))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (sin.f64 y) 1)) y)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
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(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (sin.f64 y))) (/.f64 (neg.f64 (cosh.f64 x)) y))
(-.f64 (.f64 (/.f64 (cosh.f64 x) y) (.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cosh.f64 x) y))
(fma.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 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) -1) (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (sqrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) (sqrt.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 y) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1 (.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) 1))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (cosh.f64 x)) y)) 2) (cbrt.f64 (/.f64 (neg.f64 (cosh.f64 x)) y)) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (cosh.f64 x)) y)) (sqrt.f64 (/.f64 (neg.f64 (cosh.f64 x)) y)) (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (sin.f64 y))) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (sin.f64 y))) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (cosh.f64 x) y))) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (cosh.f64 x) y))) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (*.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (/.f64 (cosh.f64 x) y) (cbrt.f64 (sin.f64 y))) (/.f64 (neg.f64 (cosh.f64 x)) y))
(-.f64 (.f64 (/.f64 (cosh.f64 x) y) (.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cosh.f64 x) y))
(fma.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (*.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2)) (*.f64 (sin.f64 y) (cbrt.f64 (/.f64 (cosh.f64 x) y))) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (/.f64 (cosh.f64 x) y)) (/.f64 (neg.f64 (cosh.f64 x)) y))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))
(fma.f64 (.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))) (cbrt.f64 (/.f64 (cosh.f64 x) y)) (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2)) (.f64 -1 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2)) (neg.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))
(fma.f64 (.f64 -1 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (/.f64 (cosh.f64 x) y)) (.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) (/.f64 (neg.f64 (cosh.f64 x)) y))
(*.f64 (cosh.f64 x) (/.f64 (+.f64 (sin.f64 y) -1) y))

eval244.0ms (2.8%)

Compiler: Compiled 16975 to 7286 computations (57.1% saved)

prune190.0ms (2.2%)

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	859	12	871
Fresh	5	5	10
Picked	1	0	1
Done	0	7	7
Total	865	24	889

Error

Counts

889 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.5b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
	16.1b	(/.f64 (/.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (sin.f64 y)) y) y)
▶	0.9b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
	32.7b	(/.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (sin.f64 y)) (.f64 y y))
✓	0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
	1.1b	(/.f64 (sin.f64 y) y)
▶	1.2b	(/.f64 1 (/.f64 y (sin.f64 y)))
▶	61.3b	(/.f64 0 y)
	30.4b	(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
	30.7b	(+.f64 (/.f64 (cosh.f64 x) y) (/.f64 (-.f64 (sin.f64 y) 1) y))
✓	32.2b	(+.f64 1 (.f64 x (.f64 x 1/2)))
	33.1b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	30.6b	(*.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) (/.f64 1 y))
	30.6b	(*.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (/.f64 1 y))
▶	30.5b	(.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	33.1b	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
✓	1.2b	(*.f64 (sin.f64 y) (/.f64 1 y))
	2.0b	(.f64 (sin.f64 y) (+.f64 (.f64 x (*.f64 x (/.f64 1/2 y))) (pow.f64 (/.f64 1 (cbrt.f64 y)) 3)))
	1.3b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) (/.f64 1 y))
✓	30.3b	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
✓	31.7b	(*.f64 (cosh.f64 x) 1)
	32.5b	(*.f64 y (/.f64 1 y))
	32.4b	1

Compiler

Compiled 451 to 332 computations (26.4% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 22 computations (43.6% saved)

series5.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`log-prod_binary64`
481×	`prod-diff_binary64`
304×	`pow2_binary64`
299×	`fma-def_binary64`
212×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	236	22
2	3251	22

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary64`
398×	`unswap-sqr_binary64`
395×	`distribute-rgt-in_binary64`
386×	`distribute-lft-in_binary64`
299×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	1860
1	616	1684
2	2208	1659

Stop Event

1×	node limit

Counts

116 → 138

Calls

Call 1

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

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 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 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 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(/.f64 (.f64 1/2 (sin.f64 y)) (/.f64 y (.f64 x x)))
(.f64 (/.f64 (.f64 (sin.f64 y) 1/2) (/.f64 y x)) x)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (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 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 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 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(/.f64 (.f64 1/2 (sin.f64 y)) (/.f64 y (.f64 x x)))
(.f64 (/.f64 (.f64 (sin.f64 y) 1/2) (/.f64 y x)) x)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (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 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 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 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (.f64 y y)) (+.f64 1 (.f64 1/2 (.f64 x x))))
(fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) (fma.f64 1/2 (.f64 x x) 1))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.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 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (.f64 y y)) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) (fma.f64 1/2 (.f64 x x) 1)) (.f64 (fma.f64 1/2 (.f64 x x) 1) (*.f64 (pow.f64 y 4) 1/120)))
(+.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/6 (.f64 y y)))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (.f64 y y)) (+.f64 1 (fma.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 6)) (fma.f64 1/2 (.f64 x x) (.f64 1/120 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (pow.f64 y 4)))))))
(+.f64 (fma.f64 -1/5040 (.f64 (pow.f64 y 6) (fma.f64 1/2 (.f64 x x) 1)) (fma.f64 1/2 (.f64 x x) (.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 (pow.f64 y 4) 1/120)))) (fma.f64 (.f64 -1/6 (fma.f64 1/2 (.f64 x x) 1)) (*.f64 y y) 1))
(+.f64 (fma.f64 1/2 (.f64 x x) (.f64 (fma.f64 1/2 (.f64 x x) 1) (+.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 -1/5040 (pow.f64 y 6))))) (fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 1/2 (.f64 x x) 1))) 1))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(fma.f64 (*.f64 y y) 1/6 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 7/360 (.f64 y (.f64 y 1/6))))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (pow.f64 y 4) 7/360 (.f64 y (.f64 y 1/6)))))
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))
(+.f64 0 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (fma.f64 x (.f64 1/2 x) 1) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (fma.f64 x (.f64 1/2 x) 1) y)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y)))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))) 1)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 1 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) y))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 1)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) (/.f64 (sin.f64 y) y)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) (sqrt.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (/.f64 (sin.f64 y) y)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (.f64 (/.f64 (sin.f64 y) y) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 (sin.f64 y) y) (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x 1/2) 1)) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (.f64 x 1/2) 1))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 y (sin.f64 y))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (/.f64 y (sin.f64 y))))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (.f64 (/.f64 (sin.f64 y) y) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 (sin.f64 y) y) (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) y) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (/.f64 1 (sin.f64 y))))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (.f64 (/.f64 (sin.f64 y) y) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 (sin.f64 y) y) (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 1 y) (/.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 (sin.f64 y))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) y) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 1 (sin.f64 y))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (fma.f64 x (.f64 x 1/2) 1) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 x (.f64 1/2 x) 1) y))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 1/2 x) 1)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 1)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (.f64 (/.f64 (sin.f64 y) y) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 (sin.f64 y) y) (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (fma.f64 x (.f64 x 1/2) 1) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/2) 1)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) 1)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) 1) (/.f64 (sin.f64 y) y))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) 1) (sin.f64 y))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(.f64 (.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 1)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(pow.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 2) 1/2)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(pow.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 3) 1/3)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 3)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(pow.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 2)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(pow.f64 (/.f64 y (.f64 (fma.f64 x (.f64 x 1/2) 1) (sin.f64 y))) -1)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)) 1/3)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(pow.f64 (/.f64 (/.f64 y (.f64 (fma.f64 x (.f64 x 1/2) 1) (sin.f64 y))) 1) -1)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 2))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y)) 3))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(exp.f64 (log.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 (sin.f64 y) y))) 1))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (.f64 x x) 1) y))
(+.f64 0 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(/.f64 y (sin.f64 y))
(*.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 y (/.f64 1 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.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 y (sin.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.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 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) 1/2)
(/.f64 y (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(/.f64 y (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(/.f64 y (sin.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)) 1/3)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 (/.f64 (sin.f64 y) y) 1) -1)
(/.f64 y (sin.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 y (sin.f64 y))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))
(/.f64 y (sin.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(/.f64 y (sin.f64 y))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 y (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))
(/.f64 y (sin.f64 y))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series40.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
40.0ms	y	@	0	(/.f64 1 (/.f64 y (sin.f64 y)))
0.0ms	y	@	-inf	(/.f64 1 (/.f64 y (sin.f64 y)))
0.0ms	y	@	inf	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`pow1_binary64`
579×	`add-log-exp_binary64`
579×	`log1p-expm1-u_binary64`
579×	`expm1-log1p-u_binary64`
565×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	6
2	1621	6

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

409×	`fma-def_binary64`
350×	`log-prod_binary64`
264×	`log-div_binary64`
227×	`associate-/l*_binary64`
225×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	336
1	270	334
2	822	327
3	3562	324

Stop Event

1×	node limit

Counts

47 → 52

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

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	0.3b	(-.f64 (sin.f64 y) 1)
✓	3.1b	(+.f64 1 (-.f64 (sin.f64 y) 1))
	6.2b	(/.f64 (*.f64 x x) y)

Compiler

Compiled 65 to 32 computations (50.8% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`log-prod_binary64`
583×	`fma-def_binary64`
294×	`fma-neg_binary64`
263×	`log-div_binary64`
260×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	322	28
2	4972	28

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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

simplify153.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

569×	`cancel-sign-sub-inv_binary64`
446×	`fma-neg_binary64`
334×	`associate-l_binary64`
310×	`associate-r_binary64`
251×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	4942
1	1177	4470
2	4605	4386

Stop Event

1×	node limit

Counts

234 → 316

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
-1
(-.f64 y 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) 1)
(+.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 (sin.f64 y) 0)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(-.f64 (/.f64 1 (-.f64 1 (+.f64 (sin.f64 y) -1))) (/.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 2) (-.f64 1 (+.f64 (sin.f64 y) -1))))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1)))
(*.f64 1 (sin.f64 y))
(*.f64 (sin.f64 y) 1)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) 1))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2)) (/.f64 1 (-.f64 1 (+.f64 (sin.f64 y) -1))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3))))
(/.f64 1 (/.f64 (-.f64 1 (+.f64 (sin.f64 y) -1)) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3)) (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 2) (-.f64 1 (+.f64 (sin.f64 y) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2)) (-.f64 1 (+.f64 (sin.f64 y) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3))) (neg.f64 (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2))) (neg.f64 (-.f64 1 (+.f64 (sin.f64 y) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) 1) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 1 (+.f64 1 (sin.f64 y)))))
(/.f64 (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) -1) (+.f64 (+.f64 1 (sin.f64 y)) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 2) 1) (-.f64 (+.f64 (sin.f64 y) -1) 1))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(fma.f64 1 (+.f64 (sin.f64 y) -1) 1)
(fma.f64 1 (sin.f64 y) 0)
(fma.f64 1 (+.f64 1 (sin.f64 y)) -1)
(fma.f64 (+.f64 (sin.f64 y) -1) 1 1)
(fma.f64 (sin.f64 y) 1 0)
(fma.f64 (cbrt.f64 (+.f64 (sin.f64 y) -1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) -1)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) -1)) 2) (cbrt.f64 (+.f64 (sin.f64 y) -1)) 1)
(fma.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) 1) 0)
(fma.f64 (sqrt.f64 (+.f64 (sin.f64 y) -1)) (sqrt.f64 (+.f64 (sin.f64 y) -1)) 1)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) 0)
(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) 1) 0)
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) 3) -1) (/.f64 1 (fma.f64 (sin.f64 y) (sin.f64 y) (+.f64 1 (sin.f64 y)))) 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1)) 0)
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) 2) -1) (/.f64 1 (+.f64 1 (sin.f64 y))) 1)
(fma.f64 (+.f64 1 (sin.f64 y)) 1 -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2)) (/.f64 1 (-.f64 1 (+.f64 (sin.f64 y) -1))) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) (cbrt.f64 (+.f64 1 (sin.f64 y)))) (cbrt.f64 (+.f64 1 (sin.f64 y))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) (sqrt.f64 (+.f64 1 (sin.f64 y))) -1)
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 y)) 1) (-.f64 (sqrt.f64 (sin.f64 y)) 1) 1)
(+.f64 (sin.f64 y) -1)
(+.f64 0 (+.f64 (sin.f64 y) -1))
(+.f64 -1 (sin.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 y) -1))) (cbrt.f64 (exp.f64 (+.f64 (sin.f64 y) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 y) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 y) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 y) -1)))))
(*.f64 1 (+.f64 (sin.f64 y) -1))
(*.f64 (+.f64 (sin.f64 y) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) -1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) -1)) 2) (cbrt.f64 (+.f64 (sin.f64 y) -1)))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) -1)) (sqrt.f64 (+.f64 (sin.f64 y) -1)))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) -1) (/.f64 1 (fma.f64 (sin.f64 y) (sin.f64 y) (+.f64 1 (sin.f64 y)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 2) -1) (/.f64 1 (+.f64 1 (sin.f64 y))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 y)) 1) (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (+.f64 1 (sin.f64 y))) (+.f64 (pow.f64 (sin.f64 y) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (sin.f64 y)) (+.f64 (pow.f64 (sin.f64 y) 2) -1)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) -1) (fma.f64 (sin.f64 y) (sin.f64 y) (+.f64 1 (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) -1) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (*.f64 (sin.f64 y) -1))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) -1) (+.f64 1 (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) -1)) (neg.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (+.f64 1 (sin.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) -1)) (neg.f64 (+.f64 1 (sin.f64 y))))
(pow.f64 (+.f64 (sin.f64 y) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) -1) 3))
(expm1.f64 (log.f64 (sin.f64 y)))
(expm1.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) -1)))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) -1)) 1))
(fma.f64 1 (sin.f64 y) -1)
(fma.f64 (sin.f64 y) 1 -1)
(fma.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) 1) -1)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) -1)
(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2)) (/.f64 1 (-.f64 1 (+.f64 (sin.f64 y) -1))) -1)
(+.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (.f64 (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 (sin.f64 y) -1)))
(+.f64 0 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))))
(+.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))) (/.f64 (sin.f64 y) y))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) 1) (.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))) 1))
(+.f64 (.f64 (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(+.f64 (.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 (sin.f64 y) -1)) (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))))) 1)
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3)) (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) 3) 1/8 (pow.f64 y -3))) (.f64 (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1) (fma.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (-.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) (/.f64 1 y)) (pow.f64 y -2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2)) (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) 3) 1/8 (pow.f64 y -3))) (.f64 (-.f64 1 (+.f64 (sin.f64 y) -1)) (fma.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (-.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) (/.f64 1 y)) (pow.f64 y -2))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3)) (-.f64 (pow.f64 y -2) (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4))) (.f64 (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1) (/.f64 (-.f64 1 (.f64 1/2 (.f64 x x))) y)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2)) (-.f64 (pow.f64 y -2) (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4))) (.f64 (-.f64 1 (+.f64 (sin.f64 y) -1)) (/.f64 (-.f64 1 (.f64 1/2 (.f64 x x))) y)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) 3) 1/8 (pow.f64 y -3)) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3))) (.f64 (fma.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (-.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) (/.f64 1 y)) (pow.f64 y -2)) (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1)))
(/.f64 (.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4)) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3))) (.f64 (/.f64 (-.f64 1 (.f64 1/2 (.f64 x x))) y) (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) 3) 1/8 (pow.f64 y -3)) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2))) (.f64 (fma.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (-.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) (/.f64 1 y)) (pow.f64 y -2)) (-.f64 1 (+.f64 (sin.f64 y) -1))))
(/.f64 (.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4)) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2))) (.f64 (/.f64 (-.f64 1 (.f64 1/2 (.f64 x x))) y) (-.f64 1 (+.f64 (sin.f64 y) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))) 3)) (fma.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y) (-.f64 (.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x))))) (.f64 (/.f64 (sin.f64 y) y) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x))))))))
(/.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))))) (-.f64 (/.f64 (sin.f64 y) y) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3)) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2)) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (-.f64 1 (+.f64 (sin.f64 y) -1)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) 3) 1/8 (pow.f64 y -3)) (sin.f64 y)) (fma.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (-.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (/.f64 1 y)) (pow.f64 y -2)))
(/.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 1/2 (*.f64 x x))) y))
(/.f64 (.f64 (sin.f64 y) (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) 3) 1/8 (pow.f64 y -3))) (fma.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (-.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (/.f64 1 y)) (pow.f64 y -2)))
(/.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 1/2 (*.f64 x x))) y))
(/.f64 (.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3))) (fma.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1) 1))
(/.f64 (.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 2))) (-.f64 1 (+.f64 (sin.f64 y) -1)))
(pow.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) 1)
(pow.f64 (pow.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)))) 3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x))))) (exp.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)))))
(exp.f64 (log.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y)))) 1))
(fma.f64 1 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (.f64 (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))))
(fma.f64 1 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 (sin.f64 y) -1)))
(fma.f64 1 (/.f64 (sin.f64 y) y) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))))
(fma.f64 1 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))) (/.f64 (sin.f64 y) y))
(fma.f64 (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (sin.f64 y) (/.f64 1 y) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))))
(fma.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 1 y) (sin.f64 y) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 x y) x) (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 (.f64 (/.f64 x y) x) (.f64 1/2 (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) (sin.f64 y) (/.f64 (sin.f64 y) y))
(fma.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) 1 (.f64 (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))))
(fma.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) 1 (.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 (sin.f64 y) -1)))
(fma.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4)) (.f64 (cbrt.f64 (/.f64 1/2 (/.f64 y (.f64 x x)))) (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1/2 (/.f64 y (.f64 x x)))) (/.f64 (sin.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) 2) (.f64 (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) 2) (.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 (sin.f64 y) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (.f64 (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 (sin.f64 y) -1)))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (cbrt.f64 (/.f64 1 y)) (sin.f64 y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2)) (.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2)) (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1/2 (/.f64 y (.f64 x x)))) (/.f64 (sin.f64 y) y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (.f64 (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (sqrt.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))) (.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 (sin.f64 y) -1)))
(fma.f64 (pow.f64 y -1/2) (.f64 (pow.f64 y -1/2) (sin.f64 y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))
(fma.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) 3) 1/8 (pow.f64 y -3)) (/.f64 1 (fma.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (-.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (/.f64 1 y)) (pow.f64 y -2))) (.f64 (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))))
(fma.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) 3) 1/8 (pow.f64 y -3)) (/.f64 1 (fma.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (-.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (/.f64 1 y)) (pow.f64 y -2))) (.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 (sin.f64 y) -1)))
(fma.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4)) (/.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (.f64 x x))) y)) (.f64 (+.f64 (sin.f64 y) -1) (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y))))
(fma.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4)) (/.f64 1 (/.f64 (-.f64 1 (.f64 1/2 (.f64 x x))) y)) (.f64 (fma.f64 1/2 (.f64 (/.f64 x y) x) (/.f64 1 y)) (+.f64 (sin.f64 y) -1)))
(fma.f64 (/.f64 (sin.f64 y) y) 1 (.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))) 1))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x))))) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))))) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x))))) (/.f64 (sin.f64 y) y))
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x))))) (sqrt.f64 (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x))))) (/.f64 (sin.f64 y) y))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2))) (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2))) (/.f64 (sin.f64 y) y))
(fma.f64 (.f64 (.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2)) (sqrt.f64 (sin.f64 y))) (.f64 (.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2)) (sqrt.f64 (sin.f64 y))) (/.f64 (sin.f64 y) y))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y -1/2)) (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y -1/2)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))))
(fma.f64 (.f64 (pow.f64 y -1/2) (sqrt.f64 (sin.f64 y))) (.f64 (pow.f64 y -1/2) (sqrt.f64 (sin.f64 y))) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x)))))
(fma.f64 (.f64 (sin.f64 y) 1/2) (.f64 (/.f64 x y) x) (/.f64 (sin.f64 y) y))
(fma.f64 (.f64 (sin.f64 y) (.f64 (/.f64 x y) x)) 1/2 (/.f64 (sin.f64 y) y))
(fma.f64 (.f64 (sin.f64 y) (cbrt.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4))) (cbrt.f64 (/.f64 1/2 (/.f64 y (.f64 x x)))) (/.f64 (sin.f64 y) y))
(fma.f64 (.f64 (sin.f64 y) (.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2))) (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/2)) (/.f64 (sin.f64 y) y))
(fma.f64 (.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 (.f64 (/.f64 1/2 (/.f64 y (.f64 x x))) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (/.f64 (sin.f64 y) y))
(fma.f64 (.f64 (sin.f64 y) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (/.f64 1 y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 y -1/2)) (pow.f64 y -1/2) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))
(fma.f64 (.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))
(fma.f64 (.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
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(*.f64 (sin.f64 y) (fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(fma.f64 (.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (fma.f64 1/2 (.f64 x (/.f64 x y)) (/.f64 1 y)))
(*.f64 (sin.f64 y) (fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(fma.f64 (.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (*.f64 x x)))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (fma.f64 1/2 (.f64 x (/.f64 x y)) (/.f64 1 y)))
(*.f64 (sin.f64 y) (fma.f64 1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y)))

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

series11.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
1.0ms	y	@	-inf	(sqrt.f64 (/.f64 (sin.f64 y) y))
1.0ms	y	@	inf	(sqrt.f64 (/.f64 (sin.f64 y) y))
0.0ms	y	@	0	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`pow1_binary64`
582×	`add-log-exp_binary64`
582×	`log1p-expm1-u_binary64`
582×	`expm1-log1p-u_binary64`
568×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	150	14
2	1594	14

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

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

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

714×	`times-frac_binary64`
439×	`unswap-sqr_binary64`
429×	`associate-/l*_binary64`
303×	`fma-def_binary64`
281×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	1085
1	380	896
2	1328	731

Stop Event

1×	node limit

Counts

78 → 108

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/12 (pow.f64 y 2)) (.f64 1/1440 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -1/24192 (pow.f64 y 6)) (+.f64 (.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.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 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(*.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)))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) 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))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (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 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 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)))
(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)))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(*.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/2))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (sqrt.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)))))
(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)))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2)))
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(fma.f64 (*.f64 y y) -1/12 1)
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(*.f64 1 (/.f64 (sin.f64 y) y))
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(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
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(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) y)
(.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (sqrt.f64 (/.f64 (sin.f64 y) y))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
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(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
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(/.f64 (sin.f64 y) 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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
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(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
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(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
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(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 4))
(/.f64 (sin.f64 y) y)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
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(/.f64 1 (/.f64 y (sin.f64 y)))
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(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))
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(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
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(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
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(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
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(/.f64 (sin.f64 y) y)
(/.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
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(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
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(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) 1) y)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
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(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
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(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
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(/.f64 (sin.f64 y) y)
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1)
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(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/2))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) 1/2)
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(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(fabs.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1))
(+.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 0)
(sqrt.f64 (/.f64 (sin.f64 y) y))

eval334.0ms (3.9%)

Compiler: Compiled 16294 to 9037 computations (44.5% saved)

prune205.0ms (2.4%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	852	5	857
Fresh	2	10	12
Picked	1	0	1
Done	1	10	11
Total	856	25	881

Error

Counts

881 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	30.5b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (+.f64 1 (-.f64 (sin.f64 y) 1))))
✓	0.9b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
	31.4b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 (.f64 y y) 1/6)))
	32.7b	(/.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (sin.f64 y)) (.f64 y y))
✓	0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
	1.1b	(/.f64 (sin.f64 y) y)
	30.6b	(/.f64 1 (/.f64 y (-.f64 (+.f64 1 (sin.f64 y)) 1)))
✓	1.2b	(/.f64 1 (/.f64 y (sin.f64 y)))
	31.7b	(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
	1.3b	(/.f64 1 (*.f64 (/.f64 1 (sin.f64 y)) y))
✓	61.3b	(/.f64 0 y)
	30.4b	(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
	30.7b	(+.f64 (/.f64 (cosh.f64 x) y) (/.f64 (-.f64 (sin.f64 y) 1) y))
✓	32.2b	(+.f64 1 (.f64 x (.f64 x 1/2)))
	33.1b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	30.6b	(*.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (/.f64 1 y))
✓	33.1b	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
✓	1.2b	(*.f64 (sin.f64 y) (/.f64 1 y))
	2.0b	(.f64 (sin.f64 y) (+.f64 (.f64 x (*.f64 x (/.f64 1/2 y))) (pow.f64 (/.f64 1 (cbrt.f64 y)) 3)))
	1.3b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) (/.f64 1 y))
✓	30.3b	(*.f64 (log.f64 (exp.f64 (sin.f64 y))) (/.f64 (cosh.f64 x) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
✓	31.7b	(*.f64 (cosh.f64 x) 1)
	32.5b	(*.f64 y (/.f64 1 y))
	32.4b	1

Compiler

Compiled 273 to 204 computations (25.3% saved)

regimes131.0ms (1.5%)

Counts

47 → 1

Calls

Call 1

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

47.0ms	(/.f64 (sin.f64 y) y)
32.0ms	y
19.0ms	x
17.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms	(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 501 to 252 computations (49.7% saved)

regimes59.0ms (0.7%)

Counts

22 → 1

Calls

Call 1

Inputs
1
(/.f64 0 y)
(*.f64 y (/.f64 1 y))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
(.f64 y (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 y)) y))
(*.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (/.f64 1 y))
(*.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) (/.f64 1 y))
(/.f64 1 (/.f64 y (-.f64 (+.f64 1 (sin.f64 y)) 1)))
(/.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)))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (+.f64 1 (-.f64 (sin.f64 y) 1))))
(.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))

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

Calls

6 calls:

13.0ms	y
10.0ms	(/.f64 (sin.f64 y) y)
10.0ms	x
8.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`y`
0.9b	1	`(cosh.f64 x)`
0.9b	1	`(cosh.f64 x)`
0.9b	1	`(/.f64 (sin.f64 y) y)`
0.9b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 230 to 140 computations (39.1% saved)

regimes36.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

Inputs
1
(/.f64 0 y)
(*.f64 y (/.f64 1 y))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
(.f64 y (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 y)) y))
(*.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (/.f64 1 y))
(*.f64 (-.f64 (+.f64 1 (sin.f64 y)) 1) (/.f64 1 y))
(/.f64 1 (/.f64 y (-.f64 (+.f64 1 (sin.f64 y)) 1)))

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

Calls

4 calls:

15.0ms	y
8.0ms	x
7.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`y`
1.1b	1	`(cosh.f64 x)`
1.1b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 144 to 94 computations (34.7% saved)

regimes22.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
1
(/.f64 0 y)
(*.f64 y (/.f64 1 y))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
(.f64 y (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (+.f64 1 (.f64 (.f64 y y) 1/6)))
(*.f64 (cosh.f64 x) 1)

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

Calls

4 calls:

7.0ms	x
6.0ms	y
2.0ms	(cosh.f64 x)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
31.4b	1	`x`
31.4b	1	`y`
31.4b	1	`(cosh.f64 x)`
31.4b	1	`(cosh.f64 x)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes12.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
1
(/.f64 0 y)
(*.f64 y (/.f64 1 y))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
(.f64 y (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))

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

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

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

Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes13.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
1
(/.f64 0 y)
(*.f64 y (/.f64 1 y))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
32.2b	1	`x`
32.2b	1	`y`

Compiler

Compiled 31 to 22 computations (29% saved)

regimes8.0ms (0.1%)

Accuracy

Total -30.4b remaining (-93.8%)

Threshold costs -30.4b (-93.8%)

Counts

4 → 1

Calls

Call 1

Inputs
1
(/.f64 0 y)
(*.f64 y (/.f64 1 y))
(+.f64 1 (.f64 -1/6 (.f64 y y)))

Outputs
1

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
32.4b	1	`x`
32.4b	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
1	28	81

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 69 to 52 computations (24.6% saved)

soundness0.0ms (0%)

end81.0ms (0.9%)

Compiler: Compiled 57 to 36 computations (36.8% saved)