Details

analyze138.0ms (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)

sample3.5s (41.6%)

Results

871.0ms	2091×	body	1024	infinite
864.0ms	2025×	body	1024	valid
817.0ms	5220×	body	256	valid
390.0ms	1008×	body	512	valid
288.0ms	1038×	body	512	infinite
217.0ms	1541×	body	256	infinite
3.0ms	3×	body	2048	valid

Bogosity

preprocess64.0ms (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)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(*.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 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series11.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	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))

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

Outputs

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

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

89 → 104

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

Outputs

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

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

101 → 109

Calls

Call 1

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

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

eval71.0ms (0.8%)

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

prune86.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	200	13	213
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	202	13	215

Error

0.0b

Counts

215 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	32.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
	1.3b	(/.f64 (sin.f64 y) y)
	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	32.6b	(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))
▶	1.3b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
	1.4b	(*.f64 (sin.f64 y) (/.f64 1 y))
▶	1.2b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
	1.5b	(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))))
	32.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	0.1b	(*.f64 (cosh.f64 x) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y))))
▶	31.9b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 302 to 208 computations (31.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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	@	-inf	(/.f64 y (cosh.f64 x))
1.0ms	y	@	0	(/.f64 y (cosh.f64 x))
1.0ms	y	@	inf	(/.f64 y (cosh.f64 x))

rewrite81.0ms (1%)

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))))))))

simplify88.0ms (1.1%)

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 (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))

localize6.0ms (0.1%)

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	(.f64 1/2 (/.f64 (.f64 x x) y))
✓	0.0b	(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
✓	0.2b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	5.6b	(/.f64 (*.f64 x x) y)

Compiler

Compiled 51 to 22 computations (56.9% saved)

series13.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite104.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

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

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

simplify140.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

300 → 299

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 12 computations (65.7% saved)

series52.0ms (0.6%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
3.0ms	y	@	-inf	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3)

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

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

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

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

144 → 164

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 y))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (/.f64 1 y)))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (.f64 -1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 y))))) (pow.f64 x 4)) (.f64 (pow.f64 1 1/3) (/.f64 1 y))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (.f64 -1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 y))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 -1/216 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 23/3240 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (+.f64 (.f64 23/6480 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))))) (.f64 -1/216 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))))) (pow.f64 x 6)) (.f64 (pow.f64 1 1/3) (/.f64 1 y)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(pow.f64 (/.f64 1 y) 1/3)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3)))
(+.f64 (.f64 23/6480 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 6))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) y) 1/3) (cbrt.f64 1/2))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) y))) 1)
(*.f64 (cosh.f64 x) (/.f64 1 y))
(*.f64 (/.f64 (cosh.f64 x) y) 1)
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(*.f64 1 (/.f64 (cosh.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)))
(.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) (.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 y)))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (cosh.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2) 3) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (pow.f64 (/.f64 (cosh.f64 x) y) 1/6)) (pow.f64 (/.f64 (cosh.f64 x) y) 1/6))
(/.f64 (cosh.f64 x) y)
(/.f64 1 (/.f64 y (cosh.f64 x)))
(/.f64 1 (/.f64 (/.f64 y (cosh.f64 x)) 1))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 y (cbrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (sqrt.f64 (cosh.f64 x))))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 y 2))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y))
(/.f64 -1 (neg.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) 1) (*.f64 2 y))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (cosh.f64 x) 1) y)
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 1 y)) 2)
(/.f64 (*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 y))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))) 1)
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1)
(*.f64 1 (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (/.f64 1 y) 1/3))
(*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (cbrt.f64 y)))
(*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) (pow.f64 (/.f64 (cosh.f64 x) y) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) (neg.f64 (cbrt.f64 y)))
(pow.f64 (/.f64 (cosh.f64 x) y) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 1)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))

Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 y))
(/.f64 1 y)
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (/.f64 1 y)))
(fma.f64 (.f64 (/.f64 1 y) 1/2) (.f64 x x) (/.f64 1 y))
(fma.f64 (/.f64 1/2 y) (*.f64 x x) (/.f64 1 y))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (.f64 -1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 y))))) (pow.f64 x 4)) (.f64 (pow.f64 1 1/3) (/.f64 1 y))))
(fma.f64 (.f64 (/.f64 1 y) 1/2) (.f64 x x) (fma.f64 (fma.f64 1/18 (/.f64 1 y) (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 0) (*.f64 (/.f64 1 y) -1/72))) (pow.f64 x 4) (/.f64 1 y)))
(fma.f64 (/.f64 1/2 y) (*.f64 x x) (fma.f64 (+.f64 (/.f64 1/18 y) (fma.f64 (cbrt.f64 (/.f64 1 y)) 0 (/.f64 -1/72 y))) (pow.f64 x 4) (/.f64 1 y)))
(fma.f64 (/.f64 1/2 y) (.f64 x x) (fma.f64 (+.f64 0 (.f64 (/.f64 1 y) 1/24)) (pow.f64 x 4) (/.f64 1 y)))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (.f64 -1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 y))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 -1/216 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 23/3240 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (+.f64 (.f64 23/6480 (.f64 (pow.f64 1 1/3) (/.f64 1 y))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)) (.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))))) (.f64 -1/216 (.f64 (pow.f64 1 1/3) (/.f64 1 y)))))) (pow.f64 x 6)) (.f64 (pow.f64 1 1/3) (/.f64 1 y)))))
(fma.f64 (.f64 (/.f64 1 y) 1/2) (.f64 x x) (fma.f64 (fma.f64 1/18 (/.f64 1 y) (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 0) (.f64 (/.f64 1 y) -1/72))) (pow.f64 x 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 1/405) (fma.f64 23/6480 (/.f64 1 y) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 0)) (*.f64 (/.f64 1 y) -1/216)))) (pow.f64 x 6) (/.f64 1 y))))
(fma.f64 (/.f64 1/2 y) (.f64 x x) (fma.f64 (+.f64 (/.f64 1/18 y) (fma.f64 (cbrt.f64 (/.f64 1 y)) 0 (/.f64 -1/72 y))) (pow.f64 x 4) (fma.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1 y)) 0) (/.f64 -1/216 y)) (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 1/405) (/.f64 23/6480 y))) (pow.f64 x 6) (/.f64 1 y))))
(fma.f64 (/.f64 1/2 y) (.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 y)) (.f64 (cbrt.f64 (/.f64 1 (.f64 y y))) 1/405) (+.f64 0 (.f64 (/.f64 1 y) -7/6480))) (pow.f64 x 6) (fma.f64 (+.f64 0 (*.f64 (/.f64 1 y) 1/24)) (pow.f64 x 4) (/.f64 1 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (pow.f64 1 1/3)))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)
(pow.f64 (/.f64 1 y) 1/3)
(cbrt.f64 (/.f64 1 y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3))
(fma.f64 1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (/.f64 1 y)))
(fma.f64 1/6 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 y)))) (cbrt.f64 (/.f64 1 y)))
(.f64 (+.f64 (.f64 1/6 (*.f64 x x)) 1) (cbrt.f64 (/.f64 1 y)))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 1 y) 1/3)))
(fma.f64 -1/72 (.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 x 4)) (fma.f64 1/6 (.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (/.f64 1 y))))
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(/.f64 (cosh.f64 x) y)
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) 1) (*.f64 2 y))
(/.f64 (cosh.f64 x) y)
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (cosh.f64 x) y)
(/.f64 (/.f64 (cosh.f64 x) 1) y)
(/.f64 (cosh.f64 x) y)
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (cosh.f64 x) y)
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (/.f64 1 y)) 2)
(/.f64 (cosh.f64 x) y)
(/.f64 (*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 y)))
(/.f64 (cosh.f64 x) y)
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))
(/.f64 (cosh.f64 x) y)
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) y))))
(/.f64 (cosh.f64 x) y)
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))
(/.f64 (cosh.f64 x) y)
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3)))
(/.f64 (cosh.f64 x) y)
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))) 1)
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1)
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(*.f64 1 (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1/3))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (cosh.f64 x)))
(*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (/.f64 1 y) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (cosh.f64 x)))
(*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y))
(*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) (pow.f64 (/.f64 (cosh.f64 x) y) 1/6))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))))
(/.f64 1 (cbrt.f64 (/.f64 y (cosh.f64 x))))
(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (neg.f64 (cosh.f64 x))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) (neg.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 y))
(pow.f64 (/.f64 (cosh.f64 x) y) 1/3)
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 1)
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 3)
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/6) 2)
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))))
(cbrt.f64 (/.f64 (cosh.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (sin.f64 y)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))) 2)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 3))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 (cosh.f64 x) y) 3)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
✓	0.4b	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2))
✓	0.5b	(pow.f64 (cbrt.f64 y) 2)
✓	0.6b	(cbrt.f64 y)

Compiler

Compiled 43 to 16 computations (62.8% saved)

series25.0ms (0.3%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	y	@	inf	(cbrt.f64 y)
2.0ms	x	@	inf	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 y) 2)
1.0ms	y	@	-inf	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2))
1.0ms	x	@	0	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2))

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

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

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

183 → 245

Calls

Call 1

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

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

eval397.0ms (4.8%)

Compiler: Compiled 17644 to 8093 computations (54.1% saved)

prune284.0ms (3.4%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	912	14	926
Fresh	4	4	8
Picked	0	1	1
Done	2	2	4
Total	918	21	939

Error

Counts

939 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(pow.f64 (.f64 (/.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))) y) -1)
✓	1.4b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	12.9b	(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 (.f64 y (cbrt.f64 y)))) (cbrt.f64 y))
	32.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
	1.1b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
	0.8b	(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2))
▶	32.5b	(/.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2))
	1.4b	(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 3))
✓	0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
	35.1b	(/.f64 (sin.f64 y) (exp.f64 (log.f64 (/.f64 y (cosh.f64 x)))))
	1.3b	(/.f64 (sin.f64 y) y)
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	32.0b	(+.f64 1 (.f64 x (.f64 x 1/2)))
	32.3b	(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
▶	2.5b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
	29.2b	(.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 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
	1.4b	(*.f64 (sin.f64 y) (/.f64 1 y))
▶	60.7b	(.f64 (sin.f64 y) (.f64 (/.f64 x y) (*.f64 x 1/2)))
✓	31.9b	(*.f64 (cosh.f64 x) 1)
	60.7b	(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))

Compiler

Compiled 486 to 335 computations (31.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series9.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(/.f64 y (sin.f64 y))
1.0ms	y	@	inf	(/.f64 y (sin.f64 y))
0.0ms	y	@	0	(/.f64 y (sin.f64 y))
0.0ms	y	@	0	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
0.0ms	x	@	0	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

555×	`fma-def_binary64`
538×	`unswap-sqr_binary64`
429×	`associate-/r/_binary64`
300×	`associate-/l/_binary64`
267×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	1776
1	595	1562
2	2234	1291

Stop Event

1×	node limit

Counts

100 → 122

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(-.f64 (+.f64 1 (/.f64 y (sin.f64 y))) 1)
(*.f64 y (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 1 (/.f64 y (sin.f64 y)))
(.f64 (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)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(-.f64 (+.f64 1 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y) 1)
(.f64 1 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(.f64 (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y)) 2) (cbrt.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(.f64 (sqrt.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(pow.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)) 2)
(pow.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))) -1)
(neg.f64 (/.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 7/360 (pow.f64 y 4)))
(fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4)))))
(fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (.f64 1/2 (.f64 (sin.f64 y) (.f64 x x))) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) 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 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (fma.f64 1/720 (/.f64 (pow.f64 x 6) (/.f64 y (sin.f64 y))) (.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (.f64 x x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) 1/240) (.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 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/240 (pow.f64 y 4)) (.f64 -1/10080 (pow.f64 y 6)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (.f64 y y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y)))
(-.f64 (+.f64 1 (/.f64 y (sin.f64 y))) 1)
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(/.f64 y (sin.f64 y))
(*.f64 y (/.f64 1 (sin.f64 y)))
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(/.f64 y (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) 1)
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(/.f64 y (sin.f64 y))
(*.f64 1 (/.f64 y (sin.f64 y)))
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(/.f64 y (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
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(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
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(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
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(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
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(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
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(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
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(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
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(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
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(/.f64 y (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
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(/.f64 y (sin.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
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(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) -1)
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(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
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(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
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(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
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(/.f64 y (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
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(/.f64 y (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
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(/.f64 y (sin.f64 y))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
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(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(-.f64 (+.f64 1 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)) 1)
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(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
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(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y))
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(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)) 2))
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(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y)) 2) (cbrt.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
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(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (sqrt.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 1 y) (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) (sin.f64 y)) y)))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) y))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) 1) (sin.f64 y))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)) 3)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)) 2)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))) -1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(neg.f64 (/.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) 2))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (exp.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) 3))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (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 y (sin.f64 y)) 3)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 0)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

localize8.0ms (0.1%)

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite84.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log-prod_binary64`
411×	`prod-exp_binary64`
401×	`exp-prod_binary64`
352×	`pow-prod-down_binary64`
253×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	190	25
2	2497	25

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-def_binary64`
647×	`associate-*l/_binary64`
469×	`times-frac_binary64`
384×	`unswap-sqr_binary64`
348×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	1787
1	563	1734
2	1818	1690

Stop Event

1×	node limit

Counts

125 → 118

Calls

Call 1

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
✓	0.6b	(cbrt.f64 (/.f64 1 y))
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 1 y)) 3)

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (/.f64 1 y)) 3)
0.0ms	y	@	0	(pow.f64 (cbrt.f64 (/.f64 1 y)) 3)
0.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 1 y)) 3)
0.0ms	y	@	-inf	(cbrt.f64 (/.f64 1 y))
0.0ms	y	@	0	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`pow1_binary64`
651×	`add-log-exp_binary64`
650×	`log1p-expm1-u_binary64`
650×	`expm1-log1p-u_binary64`
635×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	187	16
2	1880	16

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 1 y)) 3)
(cbrt.f64 (/.f64 1 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))

Outputs

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

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

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

411×	`fma-def_binary64`
358×	`unswap-sqr_binary64`
331×	`times-frac_binary64`
263×	`log-prod_binary64`
242×	`distribute-frac-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	828
1	316	726
2	1065	632
3	4325	614

Stop Event

1×	node limit

Counts

81 → 92

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 y (cosh.f64 x))
✓	0.1b	(/.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2))
✓	0.3b	(pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2)

Compiler

Compiled 35 to 12 computations (65.7% saved)

series12.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2)
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2)
1.0ms	y	@	-inf	(/.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2))
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2)

rewrite100.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`log-prod_binary64`
379×	`exp-prod_binary64`
326×	`prod-exp_binary64`
271×	`pow-prod-down_binary64`
252×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	219	17
2	2632	17

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (cosh.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (cosh.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (sqrt.f64 (/.f64 y (cosh.f64 x))) (sqrt.f64 (/.f64 y (cosh.f64 x))))))) (#(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))) (cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (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 (pow.f64 (/.f64 y (cosh.f64 x)) 1/4) (pow.f64 (/.f64 y (cosh.f64 x)) 3/4))))) (#(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 (pow.f64 (cosh.f64 x) -1/2) (/.f64 y (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 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 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (/.f64 y (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (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 (cbrt.f64 (*.f64 y y)) (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 *.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 3/4) (pow.f64 (/.f64 y (cosh.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 5/6) (pow.f64 (/.f64 y (cosh.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (cosh.f64 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (cosh.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 y (/.f64 y (cosh.f64 x))) 1/2) (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (/.f64 y (cosh.f64 x)) y) 1/2) (sqrt.f64 (cosh.f64 x)))))) (#(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 log.f64 (+.f64 1 (expm1.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (cosh.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (cosh.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (cosh.f64 x)) 1)))))) (#(struct:change 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#<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) (*.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2) (*.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (cosh.f64 x))) (*.f64 (log.f64 y) 1)))))))

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

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

481×	`unswap-sqr_binary64`
288×	`log-prod_binary64`
188×	`cube-prod_binary64`
173×	`sqr-pow_binary64`
168×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	408	3168
1	1036	2173
2	3841	2173

Stop Event

1×	node limit

Counts

162 → 182

Calls

Call 1

Inputs
y
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y)
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 y (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/24 y) (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 -1/4 y)))) (.f64 1/16 y)) (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 y (+.f64 (.f64 (pow.f64 x 6) (+.f64 (.f64 -1 (+.f64 (.f64 -1/48 y) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/24 y) (.f64 -1/4 y))) (+.f64 (.f64 1/4 (+.f64 (.f64 1/24 y) (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 -1/4 y)))) (.f64 1/720 y))))) (.f64 1/4 (+.f64 (.f64 1/24 y) (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 -1/4 y)))))) (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/24 y) (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 -1/4 y)))) (*.f64 1/16 y)) (pow.f64 x 4)))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(+.f64 0 (/.f64 y (cosh.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (cosh.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (cosh.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (cosh.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (cosh.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (cosh.f64 x)))) 1)
(*.f64 y (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 y (cosh.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) (sqrt.f64 (/.f64 y (cosh.f64 x))))
(*.f64 1 (/.f64 y (cosh.f64 x)))
(*.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 y (cosh.f64 x))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (cosh.f64 x))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 1/4) (pow.f64 (/.f64 y (cosh.f64 x)) 3/4))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (cosh.f64 x)) y)
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 y (sqrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (cosh.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (/.f64 y (cbrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (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 (cbrt.f64 (.f64 y y)) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cosh.f64 x))))
(.f64 (/.f64 y (.f64 2 (cosh.f64 x))) 2)
(*.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 3/4) (pow.f64 (/.f64 y (cosh.f64 x)) 1/4))
(*.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 5/6) (pow.f64 (/.f64 y (cosh.f64 x)) 1/6))
(/.f64 y (cosh.f64 x))
(/.f64 1 (/.f64 (cosh.f64 x) y))
(/.f64 1 (/.f64 (/.f64 (cosh.f64 x) y) 1))
(/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (cosh.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 (/.f64 y (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 y 1) (cosh.f64 x))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (pow.f64 (*.f64 y (/.f64 y (cosh.f64 x))) 1/2) (sqrt.f64 (cosh.f64 x)))
(/.f64 (pow.f64 (*.f64 (/.f64 y (cosh.f64 x)) y) 1/2) (sqrt.f64 (cosh.f64 x)))
(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))))
(log.f64 (+.f64 1 (expm1.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))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2)) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (cosh.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (cosh.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) y)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) 2))
(exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (cosh.f64 x))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (cosh.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (neg.f64 (log.f64 (cosh.f64 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2) (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2) (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) (*.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2) (.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) (.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cosh.f64 x))) (*.f64 (log.f64 y) 1)))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) 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 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 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 y (cosh.f64 x)) -1/2) (/.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 (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 (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) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y (cosh.f64 x)))))
(*.f64 (/.f64 (sin.f64 y) 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)))
(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)) 2) 1/2)
(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)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 y (cosh.f64 x)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(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)))
(log.f64 (+.f64 1 (expm1.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 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))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 y (cosh.f64 x)))))
(exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 1) (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 (cosh.f64 x) y))))
(exp.f64 (+.f64 (log.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (log.f64 (sin.f64 y)) 1)))

Outputs
y
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) y)
(fma.f64 -1/2 (.f64 y (.f64 x x)) y)
(fma.f64 y (.f64 (.f64 x x) -1/2) y)
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 y (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/24 y) (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 -1/4 y)))) (.f64 1/16 y)) (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 y (.f64 x x)) y) (.f64 (fma.f64 -1 (fma.f64 1/24 y (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 y -1/4))) (.f64 y 1/16)) (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 y (.f64 x x)) (fma.f64 (-.f64 (.f64 y 1/16) (+.f64 (.f64 y 1/16) (*.f64 y -5/24))) (pow.f64 x 4) y))
(+.f64 (.f64 -1/2 (.f64 y (pow.f64 x 2))) (+.f64 y (+.f64 (.f64 (pow.f64 x 6) (+.f64 (.f64 -1 (+.f64 (.f64 -1/48 y) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/24 y) (.f64 -1/4 y))) (+.f64 (.f64 1/4 (+.f64 (.f64 1/24 y) (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 -1/4 y)))) (.f64 1/720 y))))) (.f64 1/4 (+.f64 (.f64 1/24 y) (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 -1/4 y)))))) (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/24 y) (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 -1/4 y)))) (*.f64 1/16 y)) (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 y (.f64 x x)) y) (fma.f64 (pow.f64 x 6) (fma.f64 -1 (fma.f64 -1/48 y (fma.f64 -1/2 (.f64 y -5/24) (fma.f64 1/4 (fma.f64 1/24 y (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 y -1/4))) (.f64 y 1/720)))) (.f64 (fma.f64 1/24 y (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 y -1/4))) 1/4)) (.f64 (fma.f64 -1 (fma.f64 1/24 y (+.f64 (pow.f64 (.f64 -1/4 (sqrt.f64 y)) 2) (.f64 y -1/4))) (*.f64 y 1/16)) (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 y (.f64 x x)) y) (fma.f64 (-.f64 (.f64 y 1/16) (+.f64 (.f64 y 1/16) (.f64 y -5/24))) (pow.f64 x 4) (.f64 (pow.f64 x 6) (-.f64 (.f64 (+.f64 (.f64 y 1/16) (.f64 y -5/24)) 1/4) (+.f64 (fma.f64 (+.f64 (.f64 y 1/16) (.f64 y -5/24)) 1/4 (.f64 y 1/720)) (fma.f64 y -1/48 (*.f64 y 5/48)))))))
(+.f64 (fma.f64 y (.f64 (.f64 x x) -1/2) y) (fma.f64 (-.f64 (.f64 y 1/16) (+.f64 (.f64 y 1/16) (.f64 y -5/24))) (pow.f64 x 4) (.f64 (pow.f64 x 6) (-.f64 (.f64 (+.f64 (.f64 y 1/16) (.f64 y -5/24)) 1/4) (+.f64 (fma.f64 (+.f64 (.f64 y 1/16) (.f64 y -5/24)) 1/4 (.f64 y 1/720)) (fma.f64 y -1/48 (*.f64 y 5/48)))))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) y) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(+.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
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(cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 3))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cosh.f64 x) 3)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 y (cosh.f64 x))))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2)) 1/2))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (cosh.f64 x)))) 1/3))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (cosh.f64 x)))) 3))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) y)) -1))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1) 1))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2) 2))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) 2))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (cosh.f64 x))))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (-.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (cosh.f64 x)) 1)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (neg.f64 (log.f64 (cosh.f64 x)))))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2) (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))))))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))))))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2) (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) (*.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1/2) (.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1) (.f64 (log.f64 (sqrt.f64 (/.f64 y (cosh.f64 x)))) 1)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cosh.f64 x))) (*.f64 (log.f64 y) 1)))
(/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))
(/.f64 y (cosh.f64 x))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.f64 1 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(*.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 (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 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(.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 (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 (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 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) (cosh.f64 x))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cosh.f64 x))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (cosh.f64 x))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (pow.f64 (/.f64 y (cosh.f64 x)) -1/2) (/.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 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y (cosh.f64 x))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (cosh.f64 x))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (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) (cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2))) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2)))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y (cosh.f64 x)))))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y (cosh.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2)))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(*.f64 (sin.f64 y) (/.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 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (cosh.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2) 1/2)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 y (cosh.f64 x)) 3)) 1/3)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 1) -1)
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) (cosh.f64 x))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 y (cosh.f64 x)) 3)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)) 1/3))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 3))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 2))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))) -1))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1) 1))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 y (cosh.f64 x)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) 1) (.f64 (log.f64 (/.f64 y (cosh.f64 x))) 1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (log.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (log.f64 (sin.f64 y)) 1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

eval226.0ms (2.7%)

Compiler: Compiled 8646 to 3953 computations (54.3% saved)

prune219.0ms (2.6%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	555	8	563
Fresh	4	9	13
Picked	0	1	1
Done	0	7	7
Total	559	25	584

Error

Counts

584 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	12.9b	(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 (.f64 y (cbrt.f64 y)))) (cbrt.f64 y))
	32.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
	1.1b	(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
	0.8b	(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2))
	60.8b	(/.f64 (.f64 (.f64 x (*.f64 x 1/2)) (sin.f64 y)) y)
✓	32.5b	(/.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2))
	1.4b	(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 3))
✓	0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
	1.3b	(/.f64 (sin.f64 y) y)
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
✓	32.0b	(+.f64 1 (.f64 x (.f64 x 1/2)))
	32.6b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
▶	32.3b	(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
	61.9b	(.f64 (.f64 x x) (+.f64 (.f64 -1/12 (.f64 y y)) 1/2))
✓	2.5b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
▶	29.2b	(.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 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
▶	1.4b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	60.7b	(.f64 (sin.f64 y) (.f64 (/.f64 x y) (*.f64 x 1/2)))
✓	31.9b	(*.f64 (cosh.f64 x) 1)
▶	60.9b	(.f64 1/2 (.f64 x x))
	1.3b	(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
	32.1b	1

Compiler

Compiled 484 to 333 computations (31.2% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series4.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite88.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
390×	`exp-prod_binary64`
332×	`prod-exp_binary64`
269×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	189	23
2	2546	23

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

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

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

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

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Rules

519×	`distribute-rgt-in_binary64`
334×	`log-prod_binary64`
244×	`sqr-pow_binary64`
189×	`cube-prod_binary64`
180×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	2363
1	1001	2310
2	3285	2272

Stop Event

1×	node limit

Counts

193 → 221

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.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 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(+.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 (sin.f64 y) y))
(/.f64 y (sin.f64 y))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 (/.f64 y 1) (sin.f64 y))
(/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(/.f64 (*.f64 -1 y) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 y -1) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 y (sin.f64 y))))
(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 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 y (sin.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (log.f64 (/.f64 y (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))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (sin.f64 y))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (neg.f64 (log.f64 (sin.f64 y)))))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (sin.f64 y)) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (sin.f64 y)) -1)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (neg.f64 (log.f64 (sin.f64 y))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) -1) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1) (log.f64 y)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 y))) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 y)) -1) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 (sin.f64 y))) 1) (.f64 (log.f64 y) 1)))
(+.f64 0 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 1)
(.f64 1 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -2)) (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (pow.f64 y -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) 1) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(.f64 (pow.f64 y -1) (.f64 (cosh.f64 x) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) y) (/.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) y) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 (sin.f64 y))) (/.f64 (sqrt.f64 (cosh.f64 x)) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 1 (sin.f64 y))) (/.f64 (cbrt.f64 (cosh.f64 x)) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2) (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) -1/2) (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(pow.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 2)) (cbrt.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))) (sqrt.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(neg.f64 (/.f64 (cosh.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 y (sin.f64 y)))))
(exp.f64 (-.f64 (log.f64 (cosh.f64 x)) (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (cosh.f64 x)) 1) (.f64 (log.f64 (/.f64 y (sin.f64 y))) 1)))
(exp.f64 (-.f64 (log.f64 (.f64 (cosh.f64 x) (sin.f64 y))) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 (sin.f64 y) y))))
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 y) y)) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(+.f64 0 (/.f64 1 (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(pow.f64 (sin.f64 y) -1)
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (sin.f64 y))))
(pow.f64 (pow.f64 (sin.f64 y) -2) 1/2)
(pow.f64 (pow.f64 (sin.f64 y) -3) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) -1/2)
(pow.f64 (pow.f64 (sin.f64 y) 3) -1/3)
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 3)
(pow.f64 (cbrt.f64 (sin.f64 y)) -3)
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(pow.f64 (sqrt.f64 (sin.f64 y)) -2)
(pow.f64 (exp.f64 -1) (log.f64 (sin.f64 y)))
(pow.f64 (neg.f64 (neg.f64 (sin.f64 y))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (sin.f64 y)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (sin.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (sin.f64 y))))) (sqrt.f64 (neg.f64 (log.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (sin.f64 y)))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (sin.f64 y))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (sin.f64 y))) 1) 1))

Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.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 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4)))))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(+.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 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (.f64 1/24 (.f64 (/.f64 (sin.f64 y) 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 (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 (pow.f64 x 6) (/.f64 y (sin.f64 y)))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (.f64 1/720 (*.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 (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 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (*.f64 y y))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (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 (pow.f64 y 4) 1/240))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080)))))
(+.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/10080 (pow.f64 y 6)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 -1/12 (.f64 y y)) (.f64 1/240 (pow.f64 y 4)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -1))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1) 1))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (log.f64 (cosh.f64 x)) (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (.f64 (log.f64 (cosh.f64 x)) 1) (.f64 (log.f64 (/.f64 y (sin.f64 y))) 1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (-.f64 (log.f64 (.f64 (cosh.f64 x) (sin.f64 y))) (.f64 (log.f64 y) 1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 y) y)) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(+.f64 0 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(/.f64 1 (sin.f64 y))
(*.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(/.f64 1 (sin.f64 y))
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) -2))
(pow.f64 (sin.f64 y) -1)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(pow.f64 (E.f64) (neg.f64 (log.f64 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) -2) 1/2)
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) -3) 1/3)
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 2) -1/2)
(pow.f64 (pow.f64 (sin.f64 y) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) -1/6) (pow.f64 (pow.f64 (sin.f64 y) 3) -1/6))
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 3)
(/.f64 1 (sin.f64 y))
(pow.f64 (cbrt.f64 (sin.f64 y)) -3)
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(/.f64 1 (sin.f64 y))
(pow.f64 (sqrt.f64 (sin.f64 y)) -2)
(pow.f64 (exp.f64 -1) (log.f64 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(pow.f64 (neg.f64 (neg.f64 (sin.f64 y))) -1)
(/.f64 1 (sin.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (sin.f64 y)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (sin.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (sin.f64 y))))) (sqrt.f64 (neg.f64 (log.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(/.f64 1 (sin.f64 y))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(/.f64 1 (sin.f64 y))
(cbrt.f64 (pow.f64 (sin.f64 y) -3))
(/.f64 1 (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(/.f64 1 (sin.f64 y))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 y)) 1)))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -3)) 1/3))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (sin.f64 y)))) 3))
(/.f64 1 (sin.f64 y))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (sin.f64 y))) 2))
(/.f64 1 (sin.f64 y))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) 1) -1))
(/.f64 1 (sin.f64 y))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 y)) -1) 1))
(/.f64 1 (sin.f64 y))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (sin.f64 y))) 1) 1))
(/.f64 1 (sin.f64 y))

localize5.0ms (0.1%)

Compiler: Compiled 12 to 6 computations (50% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	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))

rewrite53.0ms (0.6%)

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)))))))

simplify44.0ms (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)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (.f64 y (.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)))
✓	7.5b	(.f64 y (.f64 (*.f64 x x) 1/2))
✓	27.7b	(/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y y))

Compiler

Compiled 63 to 26 computations (58.7% saved)

series30.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	(/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y y))
1.0ms	y	@	-inf	(/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y y))
1.0ms	y	@	0	(/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y y))
1.0ms	x	@	0	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
1.0ms	y	@	-inf	(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))

rewrite82.0ms (1%)

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	66
1	262	60
2	3706	60

Stop Event

1×	node limit

Counts

4 → 158

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

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

459×	`log-prod_binary64`
342×	`cancel-sign-sub-inv_binary64`
311×	`div-sub_binary64`
295×	`associate-l_binary64`
285×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	4066
1	1016	3892
2	4264	3860

Stop Event

1×	node limit

Counts

254 → 266

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 8 computations (77.1% saved)

series9.0ms (0.1%)

Counts

3 → 44

Calls

15 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
463×	`prod-exp_binary64`
379×	`exp-prod_binary64`
355×	`pow-prod-down_binary64`
254×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	190	29
2	2532	29

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

550×	`associate-/r*_binary64`
296×	`log-prod_binary64`
271×	`associate-+l+_binary64`
207×	`sqr-pow_binary64`
173×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	2717
1	880	2647
2	3081	2595

Stop Event

1×	node limit

Counts

176 → 198

Calls

Call 1

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

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

eval219.0ms (2.6%)

Compiler: Compiled 14323 to 6187 computations (56.8% saved)

prune171.0ms (2.1%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	803	9	812
Fresh	6	6	12
Picked	1	0	1
Done	2	10	12
Total	812	25	837

Error

Counts

837 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	15.5b	(/.f64 (/.f64 (.f64 (.f64 y (fma.f64 x (*.f64 x 1/2) 1)) (sin.f64 y)) y) y)
	2.5b	(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	33.5b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	0.8b	(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2))
	28.9b	(/.f64 (.f64 (.f64 y (fma.f64 x (.f64 x 1/2) 1)) (sin.f64 y)) (.f64 y y))
✓	32.5b	(/.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2))
✓	0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
	1.3b	(/.f64 (sin.f64 y) y)
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	30.5b	(/.f64 (cosh.f64 x) (*.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y)))) y))
	1.4b	(/.f64 1 (/.f64 y (sin.f64 y)))
✓	32.0b	(+.f64 1 (.f64 x (.f64 x 1/2)))
	32.6b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	32.9b	(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))
	61.9b	(.f64 (.f64 x x) (+.f64 (.f64 -1/12 (.f64 y y)) 1/2))
✓	2.5b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
✓	29.2b	(.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 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
	29.3b	(.f64 (sin.f64 y) (/.f64 y (.f64 y y)))
✓	1.4b	(*.f64 (sin.f64 y) (/.f64 1 y))
	60.7b	(.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x))))
✓	31.9b	(*.f64 (cosh.f64 x) 1)
✓	60.9b	(.f64 1/2 (.f64 x x))
	32.1b	1

Compiler

Compiled 279 to 193 computations (30.8% saved)

regimes89.0ms (1.1%)

Counts

46 → 1

Calls

Call 1

Inputs
1
(.f64 1/2 (.f64 x x))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(.f64 (.f64 x x) (+.f64 (.f64 -1/12 (.f64 y y)) 1/2))
(*.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 (sin.f64 y) (/.f64 y (.f64 y y)))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(.f64 (sin.f64 y) (.f64 (/.f64 x y) (*.f64 x 1/2)))
(.f64 (sin.f64 y) (/.f64 1/2 (/.f64 y (.f64 x x))))
(/.f64 (.f64 (.f64 x (*.f64 x 1/2)) (sin.f64 y)) y)
(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
(.f64 (sin.f64 y) (/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (*.f64 y y)))
(*.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 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) 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)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 1 y)) 3))
(pow.f64 (.f64 (/.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))) y) -1)
(*.f64 (cosh.f64 x) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) (exp.f64 (log.f64 (/.f64 y (cosh.f64 x)))))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
(*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) 2))
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 3))
(/.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (cosh.f64 x) (*.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y)))) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 (.f64 y (cbrt.f64 y)))) (cbrt.f64 y))
(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2))

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

Calls

5 calls:

21.0ms	x
20.0ms	y
18.0ms	(/.f64 (sin.f64 y) y)
16.0ms	(*.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 483 to 203 computations (58% saved)

regimes53.0ms (0.6%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	y
11.0ms	(/.f64 (sin.f64 y) y)
10.0ms	x
10.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	(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 201 to 98 computations (51.2% saved)

regimes33.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	y
9.0ms	x
8.0ms	(/.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 171 to 88 computations (48.5% saved)

regimes27.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	x
7.0ms	y
6.0ms	(/.f64 (sin.f64 y) y)
3.0ms	(cosh.f64 x)

Results

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

Compiler

Compiled 129 to 69 computations (46.5% saved)

regimes28.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 117 to 62 computations (47% saved)

regimes13.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
4.0ms	x
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
31.9b	1	`x`
31.9b	1	`y`
31.9b	1	`(cosh.f64 x)`

Compiler

Compiled 47 to 31 computations (34% saved)

regimes10.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 39 to 25 computations (35.9% saved)

regimes8.0ms (0.1%)

Accuracy

Total -30.2b remaining (-94%)

Threshold costs -30.2b (-94%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
32.1b	1	`x`
32.1b	1	`y`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	27	78

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 68 to 49 computations (27.9% saved)

soundness184.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

883×	`fma-def_binary64`
772×	`unswap-sqr_binary64`
743×	`times-frac_binary64`
480×	`associate-/l*_binary64`
453×	`associate-/l*_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
0	187	1784
1	478	1624
2	1711	1387

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 113 to 80 computations (29.2% saved)

end42.0ms (0.5%)

Compiler: Compiled 54 to 28 computations (48.1% saved)