Details

analyze218.0ms (2.6%)

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)

sample3.8s (45.9%)

Results

1.0s	2029×	body	1024	valid
949.0ms	5148×	body	256	valid
842.0ms	2036×	body	1024	infinite
393.0ms	1074×	body	512	valid
304.0ms	1001×	body	512	infinite
234.0ms	1472×	body	256	infinite
4.0ms	5×	body	2048	valid
0.0ms	1×	body	2048	infinite

Bogosity

preprocess59.0ms (0.7%)

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)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
▶	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.1%)

Counts

1 → 4

Calls

3 calls:

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

rewrite34.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`pow1_binary64`
448×	`add-sqr-sqrt_binary64`
442×	`*-un-lft-identity_binary64`
434×	`add-log-exp_binary64`
434×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	84	6
2	1137	6

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.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 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)))))))

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 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)))))))

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

702×	`log-prod_binary64`
573×	`fma-def_binary64`
494×	`associate-l_binary64`
444×	`associate-r_binary64`
297×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	426
1	219	337
2	692	246
3	4698	246

Stop Event

1×	node limit

Counts

34 → 46

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series12.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite44.0ms (0.5%)

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)))))))

simplify47.0ms (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)))))
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(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 0)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1))
(+.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 0)
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(-.f64 (+.f64 1 (/.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)
(*.f64 (cosh.f64 x) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(*.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)
(*.f64 1 (/.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 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.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)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.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)
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sqrt.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)
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (cosh.f64 x) y) 1))
(+.f64 (/.f64 (cosh.f64 x) y) 0)
(/.f64 (cosh.f64 x) y)
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 1 (neg.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 y) (cosh.f64 x))
(+.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) 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)

eval36.0ms (0.4%)

Compiler: Compiled 2316 to 981 computations (57.6% saved)

prune29.0ms (0.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	144	11	155
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	146	11	157

Error

0.0b

Counts

157 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	17.3b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
▶	0.7b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
▶	31.6b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
	0.3b	(/.f64 (sin.f64 y) y)
▶	0.2b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
▶	0.4b	(*.f64 (sin.f64 y) (/.f64 1 y))
	0.3b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
	1.3b	(.f64 (sin.f64 y) (.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (cbrt.f64 (/.f64 (cosh.f64 x) y))))
	1.4b	(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))))
	31.5b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
▶	29.7b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 272 to 184 computations (32.4% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 9 computations (70% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`log-prod_binary64`
394×	`exp-prod_binary64`
351×	`prod-exp_binary64`
289×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	190	30
2	2564	30

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

376×	`log-prod_binary64`
265×	`sqr-pow_binary64`
241×	`exp-prod_binary64`
197×	`cube-prod_binary64`
190×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	515	4782
1	1313	3969
2	4337	3953

Stop Event

1×	node limit

Counts

250 → 323

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(+.f64 (.f64 31/7560 (/.f64 (pow.f64 y 6) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(/.f64 y (sin.f64 y))
(+.f64 (/.f64 y (sin.f64 y)) (.f64 -1/2 (/.f64 (.f64 y (pow.f64 x 2)) (sin.f64 y))))
(+.f64 (/.f64 y (sin.f64 y)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 y (sin.f64 y))) (.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 x 4))) (.f64 -1/2 (/.f64 (.f64 y (pow.f64 x 2)) (sin.f64 y)))))
(+.f64 (/.f64 y (sin.f64 y)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 y (sin.f64 y))) (.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 y (pow.f64 x 2)) (sin.f64 y))) (.f64 -1 (.f64 (+.f64 (.f64 1/720 (/.f64 y (sin.f64 y))) (+.f64 (.f64 -1/48 (/.f64 y (sin.f64 y))) (.f64 -1/2 (+.f64 (.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y))))))) (pow.f64 x 6))))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(.f64 2 (/.f64 y (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))
(+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 5))) (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))))
(+.f64 (.f64 -1/10080 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 7))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 5))) (+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(sin.f64 y)
(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))
(+.f64 (.f64 1/24 (.f64 (sin.f64 y) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)))
(+.f64 (.f64 1/720 (.f64 (sin.f64 y) (pow.f64 x 6))) (+.f64 (.f64 1/24 (.f64 (sin.f64 y) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))
(+.f64 0 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))) 1)
(*.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)))
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) 1)
(*.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) -2)) (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(.f64 (neg.f64 y) (/.f64 1 (.f64 (cosh.f64 x) (neg.f64 (sin.f64 y)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) y)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (cosh.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (.f64 (sin.f64 y) (cosh.f64 x))))
(.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 (sqrt.f64 y) (cosh.f64 x)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (cosh.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)) (/.f64 (cbrt.f64 y) (cosh.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 (cosh.f64 x)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cosh.f64 x)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) -2) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 2)) (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))
(.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) -1/2) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))
(.f64 (/.f64 (/.f64 y (sin.f64 y)) (.f64 2 (cosh.f64 x))) 2)
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(pow.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3) -1/3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) -3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) -2)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))))
(neg.f64 (/.f64 y (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 1) -1))
(exp.f64 (-.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(exp.f64 (-.f64 (log.f64 y) (.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 1)))
(exp.f64 (-.f64 (log.f64 (/.f64 y (sin.f64 y))) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (neg.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) (.f64 (log.f64 y) 1)))
(+.f64 0 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 1)
(.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))
(*.f64 1 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 1)
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) (cosh.f64 x)))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) y))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) y))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(.f64 (pow.f64 y -1/2) (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y)))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) (cosh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(.f64 (.f64 (/.f64 1 y) (sin.f64 y)) (cosh.f64 x))
(.f64 (.f64 (/.f64 1 y) (cosh.f64 x)) (sin.f64 y))
(.f64 (.f64 (/.f64 1 y) 1) (*.f64 (sin.f64 y) (cosh.f64 x)))
(.f64 (.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))))
(.f64 (.f64 (/.f64 1 y) (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x))))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) -2) -1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) 3) -1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2)
(pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) 1)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))))
(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 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3) (pow.f64 y 3)))
(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 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (/.f64 y (sin.f64 y)))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 1) (log.f64 y)))
(exp.f64 (-.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (log.f64 y) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 1) (*.f64 (log.f64 y) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 1) (neg.f64 (log.f64 y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 1)))
(+.f64 0 (*.f64 (sin.f64 y) (cosh.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) 1)
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (sin.f64 y)) 2)
(/.f64 (.f64 (sin.f64 y) (.f64 2 (cosh.f64 x))) 2)
(pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 2)
(pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) -1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 1) 1))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (cosh.f64 x))))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 y)) 1) (.f64 (log.f64 (cosh.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (sin.f64 y))))
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (*.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cosh.f64 x)) 1) (.f64 (log.f64 (sin.f64 y)) 1)))

Outputs
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 1/3 (/.f64 (*.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/3 (/.f64 y (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (/.f64 1 (cosh.f64 x)))
(fma.f64 1/3 (/.f64 (*.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (cosh.f64 x)))
(+.f64 (.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))
(fma.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 (*.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
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(*.f64 (sin.f64 y) (cosh.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))))
(*.f64 (sin.f64 y) (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) 1)
(*.f64 (sin.f64 y) (cosh.f64 x))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)))
(*.f64 (sin.f64 y) (cosh.f64 x))
(/.f64 (.f64 (.f64 2 (cosh.f64 x)) (sin.f64 y)) 2)
(/.f64 (sin.f64 y) (/.f64 2 (*.f64 2 (cosh.f64 x))))
(/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x)))
(/.f64 (.f64 (sin.f64 y) (.f64 2 (cosh.f64 x))) 2)
(/.f64 (sin.f64 y) (/.f64 2 (*.f64 2 (cosh.f64 x))))
(/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x)))
(pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1)
(*.f64 (sin.f64 y) (cosh.f64 x))
(pow.f64 (E.f64) (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 (sin.f64 y) (cosh.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 2) 1/2)
(*.f64 (sin.f64 y) (cosh.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3) 1/3)
(*.f64 (sin.f64 y) (cosh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 3)
(*.f64 (sin.f64 y) (cosh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 2)
(*.f64 (sin.f64 y) (cosh.f64 x))
(pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) -1)
(*.f64 (sin.f64 y) (cosh.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 2))
(*.f64 (sin.f64 y) (cosh.f64 x))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cosh.f64 x)))
(*.f64 (sin.f64 y) (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))
(*.f64 (sin.f64 y) (cosh.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3))
(*.f64 (sin.f64 y) (cosh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 (sin.f64 y) (cosh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))) 1))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) -1))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 y) (cosh.f64 x)) 3)) 1/3))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) 3))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 y) (cosh.f64 x)))) 2))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 1) 1))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (cosh.f64 x))))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 (cosh.f64 x)) 1)))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 y)) 1) (.f64 (log.f64 (cosh.f64 x)) 1)))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (+.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (*.f64 (log.f64 (sin.f64 y)) 1)))
(*.f64 (sin.f64 y) (cosh.f64 x))
(exp.f64 (+.f64 (.f64 (log.f64 (cosh.f64 x)) 1) (.f64 (log.f64 (sin.f64 y)) 1)))
(*.f64 (sin.f64 y) (cosh.f64 x))

localize6.0ms (0.1%)

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

localize7.0ms (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))

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.6%)

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)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (cosh.f64 x) y)
	0.3b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.3b	(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
✓	0.4b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)

Compiler

Compiled 38 to 10 computations (73.7% saved)

series32.0ms (0.4%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
6.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
4.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`log-prod_binary64`
364×	`exp-prod_binary64`
355×	`prod-exp_binary64`
305×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	217	24
2	2526	24

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (sin.f64 y) (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 (*.f64 (sin.f64 y) (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 (/.f64 1 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 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simplify106.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

314×	`associate-l_binary64`
310×	`associate-r_binary64`
250×	`fma-def_binary64`
243×	`associate-/l/_binary64`
239×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	4294971745
1	1249	4133
2	4434	3204

Stop Event

1×	node limit

Counts

141 → 193

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))
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(.f64 (.f64 (/.f64 (cosh.f64 x) y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 2) 1) (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(/.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)) (cbrt.f64 (.f64 y y))) (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))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (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 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 3/2) 2))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 y (cosh.f64 x)))))
(exp.f64 (-.f64 (log.f64 (.f64 (sin.f64 y) (cosh.f64 x))) (.f64 (log.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 (/.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 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 1/3) (.f64 2/3 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 1) (.f64 2/3 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) (.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 3/2) (log.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) (.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 3/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 3/2) (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 3/2)))
(+.f64 0 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))) 1)
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 1)
(.f64 1 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) 1/6) (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 1/6))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y))
(pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 2) 1/6)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 3) 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)) 3/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 1/6) 2)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2/3)
(pow.f64 (exp.f64 1/3) (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 2))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 1) 1))

Outputs
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(cosh.f64 x)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 -1/12 (*.f64 y y))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (.f64 -1/12 (*.f64 y y))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/324 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (.f64 1/1296 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (fma.f64 1/324 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)) (.f64 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (cbrt.f64 1/2))) (.f64 1/1296 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))))))) (pow.f64 y 4))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/324 (fma.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 1/2) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (cbrt.f64 1/2) -1/2160))) (.f64 1/1296 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (*.f64 1/2 (cbrt.f64 1/2))))))))) (pow.f64 y 4))))
(fma.f64 (.f64 y y) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/324 (fma.f64 1/3 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (cbrt.f64 1/2)) -1/2160)) (/.f64 (.f64 1/1296 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (*.f64 1/2 (cbrt.f64 1/2)))))))) (pow.f64 y 4) (cosh.f64 x)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/36 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 -1/18 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (.f64 1/1296 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (.f64 (+.f64 (.f64 -1/54 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (cbrt.f64 1/2) 4)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (.f64 -1/9 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (.f64 1/3 (.f64 (-.f64 (.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (.f64 -1/9 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (pow.f64 1 1/3)))))) (pow.f64 y 6)) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (.f64 (+.f64 (.f64 1/324 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (.f64 1/1296 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4)))))
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(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
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(+.f64 (/.f64 (sin.f64 y) y) (.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (*.f64 x x)))
(fma.f64 (.f64 1/2 (/.f64 (sin.f64 y) y)) (.f64 x x) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/2 (*.f64 x x))))
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(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))) 1)
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 1)
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(.f64 1 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (sin.f64 y)))
(.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y) 1/6) (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 1/6))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y))
(pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 1)
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2) 1/2)
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 2) 1/6)
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 3) 1/9)
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 3)
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) 3/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 1/6) 2)
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2/3)
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))
(pow.f64 (exp.f64 1/3) (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 1/3))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y))) 1))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)))) 3))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 2))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) y)) 2))) 3/2))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)) 3/2)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 1) 1/3))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 1/3) 1))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 1) 1))
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 8 computations (76.5% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	194	24
2	2791	24

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-def_binary64`
525×	`associate-/r/_binary64`
334×	`unswap-sqr_binary64`
295×	`distribute-rgt-in_binary64`
289×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	3101
1	925	3047
2	3334	2950

Stop Event

1×	node limit

Counts

159 → 227

Calls

Call 1

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

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

eval334.0ms (4%)

Compiler: Compiled 20159 to 8363 computations (58.5% saved)

prune222.0ms (2.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	939	16	955
Fresh	4	2	6
Picked	1	0	1
Done	3	1	4
Total	947	19	966

Error

Counts

966 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.2b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2)
	17.3b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
	0.6b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -3)
	0.9b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
▶	31.7b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	31.7b	(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
	0.3b	(/.f64 (sin.f64 y) y)
	1.4b	(/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 3)))
	0.3b	(/.f64 1 (/.f64 y (sin.f64 y)))
	0.2b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) y))
	14.4b	(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) -2)) (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)))))
▶	30.4b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	1.3b	(.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)))
▶	0.1b	(.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (.f64 1/2 (*.f64 x x))))
✓	0.4b	(*.f64 (sin.f64 y) (/.f64 1 y))
▶	0.3b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
	29.7b	(cosh.f64 x)
	18.8b	(cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3))
	29.9b	1

Compiler

Compiled 405 to 289 computations (28.6% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 39 to 18 computations (53.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite34.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

26 → 18

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/6 (.f64 y y))

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 -1/6 (.f64 y y))
1.0ms	y	@	inf	(.f64 -1/6 (.f64 y y))
0.0ms	y	@	-inf	(.f64 -1/6 (.f64 y y))

rewrite33.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1150	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 -1/6 (.f64 y y))

Outputs

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

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1079×	`log-prod_binary64`
425×	`associate-l_binary64`
382×	`associate-r_binary64`
318×	`associate-+l+_binary64`
306×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	216
1	102	206
2	360	191
3	2980	191
4	6248	191

Stop Event

1×	node limit

Counts

26 → 18

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 0 (.f64 -1/6 (.f64 y y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(-.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) 1)
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(pow.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(cbrt.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))

Outputs
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 0 (.f64 -1/6 (.f64 y y)))
(.f64 -1/6 (.f64 y y))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(.f64 -1/6 (.f64 y y))
(-.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) 1)
(.f64 -1/6 (.f64 y y))
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(.f64 -1/6 (.f64 y y))
(pow.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3) 1/3)
(.f64 -1/6 (.f64 y y))
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(.f64 -1/6 (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(.f64 -1/6 (.f64 y y))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(.f64 -1/6 (.f64 y y))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(.f64 -1/6 (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3))
(.f64 -1/6 (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
✓	0.0b	(.f64 1/2 (/.f64 (.f64 x x) y))
✓	0.3b	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
✓	9.8b	(/.f64 (*.f64 x x) y)

Compiler

Compiled 51 to 22 computations (56.9% saved)

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(.f64 1/2 (/.f64 (.f64 x x) y))
2.0ms	x	@	0	(+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (.f64 x x) y)))
1.0ms	y	@	-inf	(.f64 (sin.f64 y) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))))
1.0ms	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))))

rewrite72.0ms (0.9%)

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

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

simplify118.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

406×	`log-prod_binary64`
324×	`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	4915	4783

Stop Event

1×	node limit

Counts

300 → 300

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 x (.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) 1)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (.f64 y y)) (+.f64 1 (.f64 x (.f64 x 1/2))))
(fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (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 (.f64 1/120 (+.f64 1 (.f64 x (*.f64 x 1/2)))) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 x (.f64 x 1/2) 1))) (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 (.f64 1/120 (+.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 (.f64 (fma.f64 x (.f64 x 1/2) 1) 1/120) (pow.f64 y 4) (.f64 x (.f64 x 1/2)))) (fma.f64 -1/6 (.f64 y (.f64 y (fma.f64 x (*.f64 x 1/2) 1))) 1))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y)
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 y)) y))
(/.f64 (+.f64 1 (.f64 x (.f64 x 1/2))) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/2) 1) y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(.f64 (sin.f64 y) (.f64 x (/.f64 x (/.f64 y 1/2))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y))
(.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))))
(.f64 (sin.f64 y) (.f64 x (/.f64 x (/.f64 y 1/2))))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
(*.f64 x (/.f64 x (/.f64 y 1/2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) y))
(.f64 (/.f64 x y) (.f64 x 1/2))
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(.f64 (-.f64 (pow.f64 y -2) (.f64 (pow.f64 x 4) (.f64 (pow.f64 y -2) 1/4))) (/.f64 y (+.f64 1 (.f64 x (*.f64 x -1/2)))))
(/.f64 (+.f64 y (.f64 y (.f64 (.f64 x x) 1/2))) (.f64 y y))
(/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) y y) (*.f64 y y))
(/.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) y) (*.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 -1 y (.f64 (neg.f64 y) (.f64 x (.f64 x 1/2)))) (.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 y (.f64 x (.f64 x -1/2))) y) (.f64 y (neg.f64 y)))
(/.f64 (fma.f64 (.f64 (.f64 y x) x) -1/2 (neg.f64 y)) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 (.f64 (.f64 x x) 1/2) y y) (*.f64 y y))
(/.f64 (fma.f64 (.f64 x (.f64 x 1/2)) y y) (*.f64 y y))
(/.f64 (.f64 (fma.f64 x (.f64 x 1/2) 1) 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 (fma.f64 -1 y (.f64 (neg.f64 y) (.f64 x (.f64 x 1/2)))) (.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 y (.f64 x (.f64 x -1/2))) y) (.f64 y (neg.f64 y)))
(/.f64 (fma.f64 (.f64 (.f64 y x) x) -1/2 (neg.f64 y)) (*.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))))
(/.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 (-.f64 (pow.f64 y -2) (.f64 (pow.f64 x 4) (.f64 (pow.f64 y -2) 1/4))) (/.f64 y (+.f64 1 (.f64 x (*.f64 x -1/2)))))
(pow.f64 (fma.f64 (*.f64 (/.f64 x y) x) 1/2 (/.f64 1 y)) 1)
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x y) x) 1/2 (/.f64 1 y)) 2) 1/2)
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x y) x) 1/2 (/.f64 1 y)) 3) 1/3)
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (/.f64 x y) x) 1/2 (/.f64 1 y))) 3)
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 x y) x) 1/2 (/.f64 1 y))) 2)
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(.f64 (fma.f64 x (.f64 x 1/2) 1) (/.f64 1 y))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (/.f64 x y) x) 1/2) (fma.f64 (.f64 (/.f64 x y) x) 1/2 (neg.f64 (/.f64 1 y))) (pow.f64 y -2)) (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) 3) 1/8 (pow.f64 y -3))) -1)
(/.f64 1 (/.f64 (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)) (fma.f64 (pow.f64 (.f64 x (/.f64 x y)) 3) 1/8 (pow.f64 y -3))))
(/.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 (-.f64 (pow.f64 y -2) (.f64 (pow.f64 x 4) (.f64 (pow.f64 y -2) 1/4))) (/.f64 y (+.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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-/r*_binary64`
504×	`fma-neg_binary64`
478×	`associate-*l/_binary64`
429×	`unswap-sqr_binary64`
386×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	1054
1	469	965
2	1757	904
3	7810	904

Stop Event

1×	node limit

Counts

86 → 108

Calls

Call 1

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

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series30.0ms (0.4%)

Counts

4 → 60

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2)
4.0ms	y	@	0	(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2)
4.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2)
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -2)

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
351×	`pow-prod-down_binary64`
288×	`pow2_binary64`
199×	`pow-to-exp_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	223	41
2	3017	41

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

Outputs
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(.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))) -1) -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))))))

simplify171.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

457×	`log-prod_binary64`
354×	`associate-r_binary64`
350×	`associate-l_binary64`
331×	`*-commutative_binary64`
296×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	664	7217
1	1671	5322
2	6606	5322

Stop Event

1×	node limit

Counts

267 → 345

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 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 2) 2))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (exp.f64 x))) (+.f64 (/.f64 (exp.f64 x) (pow.f64 (sqrt.f64 2) 2)) (.f64 -1/3 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)) (pow.f64 (sqrt.f64 2) 4)))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (exp.f64 x))) (+.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 2) 6))) (.f64 -2 (.f64 (/.f64 (+.f64 (.f64 -1/36 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (/.f64 (-.f64 (.f64 7/180 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 1/6 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) 2)) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (pow.f64 y 4)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 (sqrt.f64 2) 2)) (.f64 -1/3 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)) (pow.f64 (sqrt.f64 2) 4))))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (exp.f64 x))) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 (+.f64 (.f64 -1/36 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (/.f64 (-.f64 (.f64 7/180 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 1/6 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) 2)) (pow.f64 (sqrt.f64 2) 3))))) (pow.f64 (sqrt.f64 2) 3)))) (.f64 -2 (.f64 (/.f64 (+.f64 (.f64 -1/12 (.f64 (/.f64 (-.f64 (.f64 7/180 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 1/6 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) 2)) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (/.f64 (-.f64 (.f64 7/180 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 1/6 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) 2)) (pow.f64 (sqrt.f64 2) 3)))) (.f64 -1/36 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (/.f64 (-.f64 (.f64 31/7560 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (.f64 1/6 (/.f64 (-.f64 (.f64 7/180 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 1/6 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (+.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 2) 6))) (.f64 -2 (.f64 (/.f64 (+.f64 (.f64 -1/36 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (.f64 1/2 (.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (/.f64 (-.f64 (.f64 7/180 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 1/6 (.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) 2)) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (pow.f64 y 4)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 (sqrt.f64 2) 2)) (.f64 -1/3 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)) (pow.f64 (sqrt.f64 2) 4)))))))
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(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (sqrt.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) y) (sin.f64 y))
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 (cosh.f64 x))))
(/.f64 (.f64 2 (cosh.f64 x)) (.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (cosh.f64 x) 1) (/.f64 y (sin.f64 y)))
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(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3))
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(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 y (.f64 (sin.f64 y) (cosh.f64 x)))) -1))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 1/2) -2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) 1) -2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) -1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1) 1))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))) 1)
(.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))) 1)
(.f64 1 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))))
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(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cosh.f64 x) -1/2))
(/.f64 1 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(/.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))
(/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (cosh.f64 x)))
(/.f64 (sqrt.f64 (/.f64 (neg.f64 y) (sin.f64 y))) (sqrt.f64 (neg.f64 (cosh.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (sqrt.f64 (cosh.f64 x))))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 1/2)
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 1)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -2) 1/4)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 3) 1/6)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 1/6) 3)
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 3/2)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -1/4) 2)
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) -1)
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -1/2)
(pow.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))) -1)
(fabs.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))))) 1))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))) 1/6)) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -1/4)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) 1) 1))
(+.f64 0 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) 1)
(.f64 y (/.f64 1 (.f64 (sin.f64 y) (cosh.f64 x))))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (cosh.f64 x)))
(.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))) 1)
(.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(.f64 1 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))))
(.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -2)) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 1 (cosh.f64 x))))
(.f64 (pow.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -1/4) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 3/4))
(.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (cosh.f64 x)) (/.f64 y (sin.f64 y)))
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 y y)) (cosh.f64 x)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (cosh.f64 x)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 y 1) (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) 1) (/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cosh.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1) (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (cosh.f64 x)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 y (sqrt.f64 (cosh.f64 x))) (/.f64 (/.f64 1 (sin.f64 y)) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (/.f64 y (sin.f64 y)) (.f64 2 (cosh.f64 x))) 2)
(.f64 (pow.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))) 3/4) (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -1/4))
(.f64 (pow.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))) 5/6) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 1/6))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 2)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 3/2) 2/3)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3) -1/3)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 1/6) 6)
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) -3)
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -1/4) 4)
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) -2)
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) (pow.f64 (cosh.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) -1)
(pow.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1) -1)
(neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (cosh.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -2))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) (pow.f64 (cosh.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) -1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) 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 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 2) 2))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 2) 2))
(cosh.f64 x)
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (exp.f64 x))) (+.f64 (/.f64 (exp.f64 x) (pow.f64 (sqrt.f64 2) 2)) (.f64 -1/3 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)) (pow.f64 (sqrt.f64 2) 4)))))
(+.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 x) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (exp.f64 x) (pow.f64 (sqrt.f64 2) 2))) (.f64 -1/3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sqrt.f64 2) 4) (*.f64 y y)))))
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(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 2)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 3/2) 2/3)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3) -1/3)
(.f64 (pow.f64 (pow.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))) -3) -1/6) (pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3) -1/6))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -2) 1/2)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 3) 1/3)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 1/6) 6)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) -3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) -3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) -3)
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 3)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -1/4) 4)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) -2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) -2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) -2)
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -1)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) (pow.f64 (cosh.f64 x) 3)) 1/3)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) -1)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(pow.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1) -1)
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (cosh.f64 x))))
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) -2))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 3))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) (pow.f64 (cosh.f64 x) 3)))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x)))) 1))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))))) 2))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) 1/2))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) 1/3))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) (cosh.f64 x))))) 3))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) -1))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 1) 1))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) 1/2) 2))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))))) 1) 2))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) -1) -1))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1) -1))
(.f64 2 (/.f64 y (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))))
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))

eval315.0ms (3.8%)

Compiler: Compiled 17642 to 8675 computations (50.8% saved)

prune183.0ms (2.2%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	830	5	835
Fresh	2	11	13
Picked	1	0	1
Done	2	3	5
Total	835	19	854

Error

Counts

854 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	17.3b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
▶	17.3b	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2)
	0.6b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) -3)
✓	31.7b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
	31.1b	(/.f64 (.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 (pow.f64 x 4) (pow.f64 y -2)) 1/4)) (sin.f64 y)) (/.f64 (-.f64 1 (.f64 (*.f64 x x) 1/2)) y))
	31.7b	(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
	0.3b	(/.f64 (sin.f64 y) y)
	1.4b	(/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 3)))
▶	0.3b	(/.f64 1 (/.f64 y (sin.f64 y)))
	0.2b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) y))
▶	29.8b	(+.f64 1 (.f64 x (.f64 x 1/2)))
✓	30.4b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	1.3b	(.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)))
	0.3b	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
✓	0.4b	(*.f64 (sin.f64 y) (/.f64 1 y))
	29.7b	(cosh.f64 x)
▶	18.8b	(cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3))
	29.9b	1

Compiler

Compiled 380 to 278 computations (26.8% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

792×	`fma-def_binary64`
744×	`unswap-sqr_binary64`
223×	`log-prod_binary64`
198×	`sqr-pow_binary64`
164×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	1970
1	861	1933
2	2984	1898

Stop Event

1×	node limit

Counts

138 → 169

Calls

Call 1

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

localize7.0ms (0.1%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 52

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

series24.0ms (0.3%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	y	@	-inf	(sqrt.f64 (/.f64 y (sin.f64 y)))
3.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2)
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2)
0.0ms	y	@	inf	(sqrt.f64 (/.f64 y (sin.f64 y)))

rewrite47.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`pow1_binary64`
677×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
659×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	153	14
2	1895	14

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

502×	`log-prod_binary64`
490×	`associate-l_binary64`
449×	`associate-r_binary64`
436×	`fma-neg_binary64`
392×	`exp-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	978
1	383	821
2	1014	682
3	5593	657

Stop Event

1×	node limit

Counts

70 → 97

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1
(+.f64 (*.f64 1/12 (pow.f64 y 2)) 1)
(+.f64 (.f64 1/12 (pow.f64 y 2)) (+.f64 1 (.f64 1/160 (pow.f64 y 4))))
(+.f64 (.f64 1/12 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 61/120960 (pow.f64 y 6)) (*.f64 1/160 (pow.f64 y 4)))))
(-.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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 y -1) (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) -2))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) -2) (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) -2))
(*.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 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 y y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (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) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(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 (sqrt.f64 (/.f64 y (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1)
(*.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) (pow.f64 (/.f64 y (sin.f64 y)) 1/4))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 1 (sin.f64 y)) 1/2))
(*.f64 (sqrt.f64 y) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 1 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y))))
(pow.f64 (/.f64 y (sin.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 y (sin.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (/.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))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
1
(+.f64 (*.f64 1/12 (pow.f64 y 2)) 1)
(fma.f64 1/12 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) 1/12 1)
(+.f64 (.f64 1/12 (pow.f64 y 2)) (+.f64 1 (.f64 1/160 (pow.f64 y 4))))
(+.f64 (fma.f64 1/12 (.f64 y y) 1) (.f64 (pow.f64 y 4) 1/160))
(fma.f64 (*.f64 y y) 1/12 (fma.f64 (pow.f64 y 4) 1/160 1))
(fma.f64 y (*.f64 y 1/12) (fma.f64 (pow.f64 y 4) 1/160 1))
(+.f64 (.f64 1/12 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 61/120960 (pow.f64 y 6)) (*.f64 1/160 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/12 (.f64 y y) 1) (fma.f64 61/120960 (pow.f64 y 6) (.f64 (pow.f64 y 4) 1/160)))
(+.f64 (fma.f64 (.f64 y y) 1/12 1) (fma.f64 (pow.f64 y 4) 1/160 (.f64 (pow.f64 y 6) 61/120960)))
(fma.f64 y (*.f64 y 1/12) (fma.f64 (pow.f64 y 4) 1/160 (fma.f64 (pow.f64 y 6) 61/120960 1)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 y -1) (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) -2))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) -2) (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) -2))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) -4)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 y y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 1 (/.f64 y (sin.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) 1) y)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (sin.f64 y) (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(*.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) (pow.f64 (/.f64 y (sin.f64 y)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 1 (sin.f64 y)) 1/2))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (sqrt.f64 y) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(/.f64 1 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3/2)
(/.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 1 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))
(/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))
(/.f64 1 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y))))
(/.f64 1 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))
(pow.f64 (/.f64 y (sin.f64 y)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(fabs.f64 (sqrt.f64 (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 0)
(sqrt.f64 (/.f64 y (sin.f64 y)))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))
✓	0.1b	(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3)
	0.2b	(/.f64 y (sin.f64 y))
✓	18.9b	(cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3))

Compiler

Compiled 39 to 12 computations (69.2% saved)

series17.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3)
3.0ms	y	@	0	(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3)
2.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3))
1.0ms	x	@	inf	(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3)
1.0ms	x	@	-inf	(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x)) -3)

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log-prod_binary64`
431×	`exp-prod_binary64`
321×	`pow-prod-down_binary64`
289×	`pow2_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	219	28
2	2945	25

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

490×	`unswap-sqr_binary64`
259×	`fma-def_binary64`
254×	`associate-r_binary64`
247×	`*-commutative_binary64`
236×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	439	4245
1	1297	3913
2	5004	3913

Stop Event

1×	node limit

Counts

150 → 178

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)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(/.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 1/8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
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(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) 2) -3/2)
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 2)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) -2)
(pow.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(pow.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))) 2)
(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)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -2))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(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 (.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))))) -3/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) -1))
(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 (cbrt.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) -3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) 1) -1))
(exp.f64 (.f64 (.f64 (*.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 1) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1) 1))
(+.f64 0 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3))) 1)
(*.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3) 1)
(.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -2))
(*.f64 1 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3))
(.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -2) (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3/2) (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3/2))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) -6) (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -2) 1) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 (.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 2) (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(.f64 (pow.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 5/2) (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3)))
(exp.f64 (*.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))))
(exp.f64 (.f64 (.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -9)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) -3/2))
(exp.f64 (.f64 (.f64 -3/2 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) 1) -3))
(exp.f64 (.f64 (.f64 (*.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) -3/2) 2))

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))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (*.f64 y y) -1/12)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 (+.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))))
(+.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 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y))
(.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1)))))
(.f64 -1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (/.f64 (.f64 1/2 (.f64 (sin.f64 y) (*.f64 x x))) y))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y)) (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (/.f64 (*.f64 (sin.f64 y) 1/720) (/.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 (/.f64 1 (exp.f64 x)) (exp.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 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 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(*.f64 1/8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(+.f64 (.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (.f64 (+.f64 (.f64 -1/24 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (.f64 -1/48 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))) (pow.f64 y 2)))
(fma.f64 1/8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (.f64 (.f64 y y) (*.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) -1/16)))
(fma.f64 (.f64 y y) (.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) -1/16) (*.f64 1/8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)))
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(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) -6) (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) -6))
(.f64 (sin.f64 y) (.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) -6)))
(.f64 (.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -2) 1) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(.f64 (pow.f64 (.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 2) (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(.f64 (pow.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 5/2) (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 5/2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -6))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(log.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3)))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3))))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -9))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3)))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -3)))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (*.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (.f64 (.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 1))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 3))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)) -9)) 1/3))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) -3/2))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (.f64 (.f64 -3/2 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 2))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) 1) -3))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (.f64 (.f64 (*.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 1) 1))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (.f64 (.f64 (*.f64 -3 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y)))) 1/3) 3))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1) 3))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y (cosh.f64 x)) (sin.f64 y))) -3/2) 2))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)

eval276.0ms (3.3%)

Compiler: Compiled 16363 to 7335 computations (55.2% saved)

prune165.0ms (2%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	843	8	851
Fresh	5	6	11
Picked	1	0	1
Done	1	6	7
Total	850	20	870

Error

Counts

870 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	17.4b	(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 1/4) -4)
	17.3b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
✓	17.3b	(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2)
✓	31.7b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
	31.6b	(/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (pow.f64 (sin.f64 y) -1/2) 2))
	1.4b	(/.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) -3))
	0.4b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
	31.7b	(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
	0.3b	(/.f64 (sin.f64 y) y)
✓	0.3b	(/.f64 1 (/.f64 y (sin.f64 y)))
	29.2b	(/.f64 1 (+.f64 1 (.f64 1/6 (.f64 y y))))
	0.4b	(/.f64 1 (*.f64 (/.f64 1 (sin.f64 y)) y))
✓	29.8b	(+.f64 1 (.f64 x (.f64 x 1/2)))
✓	30.4b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	0.3b	(.f64 (sin.f64 y) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/2))) y))
✓	0.4b	(*.f64 (sin.f64 y) (/.f64 1 y))
	22.6b	(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))
	29.7b	(cosh.f64 x)
	19.0b	(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3))
	29.9b	1

Compiler

Compiled 184 to 138 computations (25% saved)

regimes85.0ms (1%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	x
20.0ms	y
15.0ms	(/.f64 (sin.f64 y) y)
15.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(cosh.f64 x)

Results

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

Compiler

Compiled 430 to 198 computations (54% saved)

regimes31.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	y
7.0ms	x
6.0ms	(/.f64 (sin.f64 y) y)
3.0ms	(cosh.f64 x)
2.0ms	(cosh.f64 x)

Results

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

Compiler

Compiled 122 to 74 computations (39.3% saved)

regimes28.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
8.0ms	x
6.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(cosh.f64 x)`
0.3b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 92 to 58 computations (37% saved)

regimes15.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
4.0ms	y
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
29.2b	1	`x`
29.2b	1	`y`
29.2b	1	`(cosh.f64 x)`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
29.8b	1	`x`
29.8b	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.9b remaining (-2.9%)

Threshold costs -0.9b (-2.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
29.9b	1	`x`
29.9b	1	`y`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	59
1	32	59

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 52 to 39 computations (25% saved)

soundness0.0ms (0%)

end34.0ms (0.4%)

Compiler: Compiled 42 to 25 computations (40.5% saved)