Details

analyze222.0ms (2.2%)

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)

sample4.1s (40.9%)

Results

1.0s	5165×	body	256	valid
981.0ms	2019×	body	1024	valid
886.0ms	2082×	body	1024	infinite
409.0ms	1035×	body	512	infinite
395.0ms	1067×	body	512	valid
344.0ms	1511×	body	256	infinite
5.0ms	5×	body	2048	valid

Bogosity

preprocess62.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1552×	`unswap-sqr`
1128×	`fma-def`
908×	`associate-+l+`
854×	`associate-/r/`
834×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	59	42
3	115	42
4	215	42
5	362	42
6	835	42
7	2508	42
8	4604	42
9	6032	42
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 (cosh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (cosh.f64 y) x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1620×	`unswap-sqr`
1380×	`fma-def`
812×	`associate-/l*`
684×	`associate-/r*`
674×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	34	21
3	63	21
4	116	21
5	193	21
6	433	21
7	1240	21
8	3011	21
9	3306	21
10	3701	21
11	5569	21
12	6658	21
13	7939	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series10.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`associate-*r/`
950×	`*-commutative`
858×	`associate-*l/`
810×	`associate-/r*`
700×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	187	32
2	2470	32

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

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

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

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simplify150.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1078×	`distribute-lft-in`
1076×	`associate-/l*`
1072×	`distribute-rgt-in`
706×	`associate-/l/`
562×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	495	6305
1	1290	6183
2	6009	6183

Stop Event

1×	node limit

Counts

205 → 268

Calls

Call 1

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

eval70.0ms (0.7%)

Compiler: Compiled 4183 to 1439 computations (65.6% saved)

prune53.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	254	14	268
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	254	15	269

Error

Counts

269 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	13.3b	(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)
	1.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
	35.0b	(/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
	0.9b	(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
	1.1b	(/.f64 (sin.f64 y) y)
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	35.5b	(*.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) (sin.f64 y))
	0.3b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
▶	0.2b	(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶	31.3b	(.f64 (cosh.f64 x) (+.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))))))
	16.9b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
▶	30.4b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 357 to 256 computations (28.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

series6.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(pow.f64 (/.f64 y (sin.f64 y)) -1)
1.0ms	y	@	-inf	(pow.f64 (/.f64 y (sin.f64 y)) -1)
0.0ms	y	@	0	(pow.f64 (/.f64 y (sin.f64 y)) -1)
0.0ms	y	@	0	(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
0.0ms	x	@	0	(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`associate-*r/`
1006×	`*-commutative`
868×	`associate-/r*`
796×	`unswap-sqr`
742×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	229	43
2	2848	43

Stop Event

1×	node limit

Counts

3 → 299

Calls

Call 1

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

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

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

simplify154.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-/l*`
778×	`associate-r`
766×	`associate-/l/`
712×	`associate-l`
680×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	713	8815
1	1769	8233
2	7526	8233

Stop Event

1×	node limit

Counts

339 → 427

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

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(+.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))))
(/.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)
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(fma.f64 (*.f64 y y) 1/6 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 7/360 (.f64 y (.f64 y 1/6))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (pow.f64 y 4) 7/360 (.f64 y (.f64 y 1/6)))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (.f64 (sin.f64 y) (.f64 x x)) y) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (*.f64 1/24 (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 (.f64 (sin.f64 y) (.f64 x x)) y) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/720 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (/.f64 (.f64 1/24 (sin.f64 y)) (/.f64 y (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 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 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 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 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 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 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 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 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12)))
(+.f64 (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (.f64 1/240 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))
(fma.f64 -1/12 (.f64 (.f64 y y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 -1/12 (.f64 y (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/240))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (.f64 (/.f64 (+.f64 y y) (sin.f64 y)) (+.f64 (exp.f64 (+.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 (+.f64 y y) (/.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (exp.f64 (+.f64 x x))) (sin.f64 y))))
(/.f64 (.f64 -2 (cosh.f64 x)) (.f64 (/.f64 y (sin.f64 y)) -2))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 -2 (cosh.f64 x))) -2)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) -1) (/.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) 1)) y)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 1 y)) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (.f64 1 (.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) 2))) 2)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (*.f64 (cosh.f64 x) 2))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (sqrt.f64 2) (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (*.f64 (cosh.f64 x) 2))) (cbrt.f64 2))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) 1) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
(*.f64 (/.f64 (cosh.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 -1 (cosh.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (cosh.f64 x)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cosh.f64 x)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) (neg.f64 y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) (cosh.f64 x)) y)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cosh.f64 x)) (sqrt.f64 y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cosh.f64 x)) (cbrt.f64 y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 1 y) (cosh.f64 x)) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (.f64 (.f64 -2 (cosh.f64 x)) (/.f64 (sin.f64 y) y)) -2)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (.f64 (.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) 2)) 1) 2)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (.f64 1 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (/.f64 (sqrt.f64 2) (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) 1) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (sin.f64 y))) y)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (sqrt.f64 (sin.f64 y)))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) 1)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))
(.f64 (/.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 3)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3) 1/3)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) 2))
(fabs.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 3))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (cosh.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

localize4.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`associate-*r/`
1540×	`associate-/l*`
1118×	`associate-*l/`
1022×	`*-commutative`
502×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	193	21
2	2704	21

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-/l/`
960×	`*-commutative`
730×	`associate-/r/`
562×	`unswap-sqr`
552×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	3404
1	637	3298
2	2490	3222

Stop Event

1×	node limit

Counts

100 → 123

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

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

localize13.0ms (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	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
✓	0.4b	(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series61.0ms (0.6%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
33.0ms	x	@	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	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
3.0ms	x	@	-inf	(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
3.0ms	y	@	0	(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))

rewrite136.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1202×	`associate-*r/`
1078×	`*-commutative`
838×	`associate-/r*`
836×	`associate-*l/`
632×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	78
1	254	78
2	2995	78

Stop Event

1×	node limit

Counts

4 → 364

Calls

Call 1

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

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

simplify157.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/l*`
1182×	`associate-r`
1062×	`associate-l`
864×	`*-commutative`
702×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	749	18794
1	2019	18474

Stop Event

1×	node limit

Counts

444 → 415

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2)))
(fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2)))
(fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (/.f64 (pow.f64 (cbrt.f64 1/2) 2) y))) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2)))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (.f64 (pow.f64 y 4) (-.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) 2)))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))))
(fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (/.f64 (.f64 (pow.f64 y 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)) (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))))
(fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (/.f64 (pow.f64 (cbrt.f64 1/2) 2) y))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (.f64 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (.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 y 6)) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (.f64 (pow.f64 y 4) (-.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) 2)))) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (/.f64 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080) (fma.f64 -1/46656 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 1/2) 6)) (.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) -1/9))) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 y 6)))) (fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (/.f64 (.f64 (pow.f64 y 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)) (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2)))))
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (.f64 (-.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080) (fma.f64 -1/46656 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 1/2) 6)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/19440))) (pow.f64 y 6)))) (fma.f64 -1/36 (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (/.f64 (pow.f64 (cbrt.f64 1/2) 2) y))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (.f64 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160))) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2)))))
(pow.f64 (/.f64 (sin.f64 y) y) 1/3)
(cbrt.f64 (/.f64 (sin.f64 y) y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 x 4)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3)))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/3 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/24) (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 (.f64 y y) (pow.f64 (sin.f64 y) 2))))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
(+.f64 (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (.f64 (cbrt.f64 (/.f64 (.f64 y y) (pow.f64 (sin.f64 y) 2))) (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/72) (pow.f64 x 4))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 x 4)) (pow.f64 (/.f64 (.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (-.f64 (.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (.f64 1/216 (/.f64 (sin.f64 y) y)) (.f64 1/3 (-.f64 (.f64 1/24 (/.f64 (sin.f64 y) y)) (.f64 1/12 (/.f64 (sin.f64 y) y)))))) (pow.f64 x 6)))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3))))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (fma.f64 1/3 (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/24) (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 (.f64 y y) (pow.f64 (sin.f64 y) 2))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 y y) (pow.f64 (sin.f64 y) 2))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 1/720) (fma.f64 1/216 (/.f64 (sin.f64 y) y) (.f64 1/3 (.f64 (/.f64 (sin.f64 y) y) -1/24)))) (pow.f64 x 6))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x x)) (+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y y) (pow.f64 (sin.f64 y) 2))) (.f64 (.f64 (/.f64 (sin.f64 y) y) -1/72) (pow.f64 x 4))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 y y) (pow.f64 (sin.f64 y) 2))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) -7/2160) (*.f64 (/.f64 (sin.f64 y) y) -1/72)) (pow.f64 x 6))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(+.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 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(+.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 (pow.f64 y 4) (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 (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 (+.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))))))))))))
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(/.f64 (cosh.f64 x) y)
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) y))
(/.f64 (cosh.f64 x) y)
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) (neg.f64 y)) 1))
(/.f64 (cosh.f64 x) y)
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 -1 y)))
(/.f64 (cosh.f64 x) y)
(neg.f64 (*.f64 1 (/.f64 (cosh.f64 x) (neg.f64 y))))
(/.f64 (cosh.f64 x) y)
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) y))))
(/.f64 (cosh.f64 x) y)
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 3))
(/.f64 (cosh.f64 x) y)
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y)))
(/.f64 (cosh.f64 x) y)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 -1/6 (pow.f64 y 2))
✓	0.5b	(*.f64 1/120 (pow.f64 y 4))
✓	9.6b	(+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4)))
✓	21.0b	(+.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)))))

Compiler

Compiled 102 to 81 computations (20.6% saved)

series5.0ms (0%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+.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)))))
1.0ms	y	@	inf	(+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4)))
0.0ms	y	@	inf	(*.f64 -1/6 (pow.f64 y 2))
0.0ms	y	@	0	(+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4)))
0.0ms	y	@	inf	(*.f64 1/120 (pow.f64 y 4))

rewrite105.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`associate-*r/`
546×	`associate-+l+`
408×	`add-sqr-sqrt`
386×	`add-exp-log`
386×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	100
1	423	100
2	5235	100

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

Inputs
(+.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 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4)))
(*.f64 1/120 (pow.f64 y 4))
(*.f64 -1/6 (pow.f64 y 2))

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

simplify179.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1246×	`associate-/l*`
1056×	`associate--r+`
966×	`associate--l+`
924×	`+-commutative`
836×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	9738
1	888	8862
2	3795	8830

Stop Event

1×	node limit

Counts

154 → 234

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 -1/5040 (pow.f64 y 6))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (.f64 1/120 (pow.f64 y 4)))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(*.f64 -1/5040 (pow.f64 y 6))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (.f64 1/120 (pow.f64 y 4)))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 1/120 (pow.f64 y 4))
(*.f64 1/120 (pow.f64 y 4))
(-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (-.f64 1 (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(-.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (-.f64 1 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))) (-.f64 1 (*.f64 -1/5040 (pow.f64 y 6))))
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))) (-.f64 (/.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 2) (-.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))) (*.f64 -1/5040 (pow.f64 y 6))))
(-.f64 (/.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))) (-.f64 (/.f64 (.f64 (pow.f64 y 8) 1/14400) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(-.f64 (/.f64 (.f64 (pow.f64 y 12) 1/25401600) (-.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))) (/.f64 (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2) (-.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))))
(-.f64 (+.f64 (+.f64 2 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (*.f64 -1/5040 (pow.f64 y 6))) 1)
(-.f64 (+.f64 (.f64 -1/5040 (pow.f64 y 6)) (exp.f64 (log.f64 (+.f64 2 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))))))) 1)
(-.f64 (+.f64 (.f64 -1/5040 (pow.f64 y 6)) (/.f64 1 (-.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))) (/.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 2) (-.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))))))
(-.f64 (+.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (/.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4))))) (/.f64 (.f64 (pow.f64 y 8) 1/14400) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))))
(-.f64 (+.f64 (+.f64 (.f64 y (.f64 y -1/6)) (fma.f64 -1/5040 (pow.f64 y 6) 1)) (exp.f64 (log1p.f64 (*.f64 1/120 (pow.f64 y 4))))) 1)
(-.f64 (+.f64 (+.f64 (.f64 1/120 (pow.f64 y 4)) (fma.f64 -1/5040 (pow.f64 y 6) 1)) (+.f64 1 (.f64 y (*.f64 y -1/6)))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) 1) (/.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4))))) (/.f64 (.f64 (pow.f64 y 8) 1/14400) (+.f64 (.f64 y (.f64 y -1/6)) (*.f64 -1/120 (pow.f64 y 4)))))
(.f64 1 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) 1)
(.f64 (sqrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))) (sqrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))))
(.f64 (cbrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))) 2) (cbrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))))
(.f64 (-.f64 (.f64 (pow.f64 y 12) 1/25401600) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2)) (/.f64 1 (-.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 y 6) 3) -1/128024064000) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 y 12) 1/25401600) (.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (*.f64 -1/5040 (pow.f64 y 6)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))) (-.f64 (.f64 (pow.f64 y 12) 1/25401600) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 y 12) 1/25401600) (.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (.f64 -1/5040 (pow.f64 y 6))))) (+.f64 (.f64 (pow.f64 (pow.f64 y 6) 3) -1/128024064000) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 y 12) 1/25401600) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2)) (-.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 y 6) 3) -1/128024064000) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 3)) (+.f64 (.f64 (pow.f64 y 12) 1/25401600) (.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (.f64 -1/5040 (pow.f64 y 6))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2) (.f64 (pow.f64 y 12) 1/25401600)) (-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (.f64 -1/5040 (pow.f64 y 6))))
(/.f64 (-.f64 (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (fma.f64 -1/5040 (pow.f64 y 6) 1)) (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 3) (pow.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) 3)) (+.f64 (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (fma.f64 -1/5040 (pow.f64 y 6) 1)) (-.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 2) (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y 12) 1/25401600) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2))) (neg.f64 (-.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 y 6) 3) -1/128024064000) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 y 12) 1/25401600) (.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (.f64 -1/5040 (pow.f64 y 6)))))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 y 6) 3) -1/128024064000) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 3)) 1) (+.f64 (.f64 (pow.f64 y 12) 1/25401600) (.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (*.f64 -1/5040 (pow.f64 y 6))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 12) 1/25401600) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2)) 1) (-.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2) (.f64 (pow.f64 y 12) 1/25401600))) (-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (*.f64 -1/5040 (pow.f64 y 6))))
(/.f64 (.f64 1 (-.f64 (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (fma.f64 -1/5040 (pow.f64 y 6) 1)) (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 2))) (-.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 3) (pow.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) 3))) (+.f64 (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (fma.f64 -1/5040 (pow.f64 y 6) 1)) (-.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 2) (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 (pow.f64 y 12) 1/25401600) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2)))) (neg.f64 (-.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 y 6) 3) -1/128024064000) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 y 12) 1/25401600) (.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (*.f64 -1/5040 (pow.f64 y 6)))))))
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(/.f64 (.f64 (sqrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))) (sqrt.f64 (-.f64 (.f64 (pow.f64 y 12) 1/25401600) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2)))) (sqrt.f64 (-.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 y 6) 3) -1/128024064000) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 y 12) 1/25401600) (.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (*.f64 -1/5040 (pow.f64 y 6)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))) 2) (cbrt.f64 (-.f64 (.f64 (pow.f64 y 12) 1/25401600) (pow.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2)))) (cbrt.f64 (-.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))))
(pow.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))))
(exp.f64 (log.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))))
(exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(fma.f64 (pow.f64 y 6) -1/5040 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(fma.f64 1 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))
(fma.f64 1 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (*.f64 -1/5040 (pow.f64 y 6)))
(fma.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))) (hypot.f64 1 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))) (*.f64 -1/5040 (pow.f64 y 6)))
(fma.f64 (.f64 (pow.f64 y 3) (sqrt.f64 -1/5040)) (.f64 (pow.f64 y 3) (sqrt.f64 -1/5040)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))) 2) (cbrt.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))) (*.f64 -1/5040 (pow.f64 y 6)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 12) 1/25401600)) (.f64 (.f64 y y) (cbrt.f64 -1/5040)) (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))
(-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 1)
(-.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (-.f64 1 (*.f64 1/120 (pow.f64 y 4))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/120 (pow.f64 y 4)))) (-.f64 1 (.f64 y (*.f64 y -1/6))))
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))) (+.f64 (/.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 2) (-.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))) 1))
(-.f64 (/.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))) (/.f64 (.f64 (pow.f64 y 8) 1/14400) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))))
(-.f64 (+.f64 (.f64 y (.f64 y -1/6)) (exp.f64 (log1p.f64 (*.f64 1/120 (pow.f64 y 4))))) 1)
(.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))))
(.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6))) 1)
(.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))
(.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2) (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))))
(.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)) (/.f64 1 (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))))
(.f64 (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000)) (/.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (*.f64 y -1/6)) 1/120) (pow.f64 y 4))))))
(/.f64 1 (/.f64 (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4))) (-.f64 (.f64 (pow.f64 y 4) 1/36) (*.f64 (pow.f64 y 8) 1/14400))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (.f64 y -1/6)) 1/120) (pow.f64 y 4)))) (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000))))
(/.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)) (+.f64 (.f64 y (.f64 y -1/6)) (*.f64 -1/120 (pow.f64 y 4))))
(/.f64 (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000)) (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (.f64 y -1/6)) 1/120) (pow.f64 y 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (pow.f64 y 4) 1/36)) (-.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 y (*.f64 y -1/6))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400))) (neg.f64 (+.f64 (.f64 y (.f64 y -1/6)) (*.f64 -1/120 (pow.f64 y 4)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000))) (neg.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (.f64 y -1/6)) 1/120) (pow.f64 y 4))))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (pow.f64 y 4) 1/36))) (-.f64 (.f64 1/120 (pow.f64 y 4)) (.f64 y (.f64 y -1/6))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)))) (neg.f64 (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000)))) (neg.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (*.f64 y -1/6)) 1/120) (pow.f64 y 4))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (sqrt.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)))) (sqrt.f64 (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (*.f64 y -1/6)) 1/120) (pow.f64 y 4))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2) (cbrt.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)))) (cbrt.f64 (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (*.f64 y -1/6)) 1/120) (pow.f64 y 4))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)) 1) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000)) 1) (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (*.f64 y -1/6)) 1/120) (pow.f64 y 4)))))
(pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 2))
(log.f64 (exp.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))))
(cbrt.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(exp.f64 (log.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(fma.f64 1 (.f64 y (.f64 y -1/6)) (*.f64 1/120 (pow.f64 y 4)))
(fma.f64 1 (.f64 1/120 (pow.f64 y 4)) (.f64 y (*.f64 y -1/6)))
(fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 (.f64 y y) -1/6 (.f64 1/120 (pow.f64 y 4)))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))
(fma.f64 (pow.f64 y 4) 1/120 (.f64 y (.f64 y -1/6)))
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) (*.f64 1/120 (pow.f64 y 4)))
(fma.f64 (.f64 (.f64 y y) (sqrt.f64 1/120)) (.f64 (.f64 y y) (sqrt.f64 1/120)) (.f64 y (.f64 y -1/6)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 y (.f64 y -1/6))) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 8) 1/14400)) (cbrt.f64 (.f64 1/120 (pow.f64 y 4))) (.f64 y (.f64 y -1/6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/120 (pow.f64 y 4)))) 1)
(pow.f64 (*.f64 1/120 (pow.f64 y 4)) 1)
(pow.f64 (.f64 (.f64 y y) (sqrt.f64 1/120)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/120 (pow.f64 y 4))) 3)
(pow.f64 (*.f64 (pow.f64 y 12) 1/1728000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 8) 1/14400))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/120))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/120 (pow.f64 y 4)))))
(cbrt.f64 (*.f64 (pow.f64 y 12) 1/1728000))
(expm1.f64 (log1p.f64 (*.f64 1/120 (pow.f64 y 4))))
(exp.f64 (log.f64 (*.f64 1/120 (pow.f64 y 4))))
(exp.f64 (.f64 (log.f64 (.f64 1/120 (pow.f64 y 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (-.f64 (.f64 y (.f64 y -1/6)) 1))
(+.f64 (.f64 y (.f64 y -1/6)) 0)
(-.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) 1)
(pow.f64 (.f64 y (.f64 y -1/6)) 1)
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y -1/6))) 3)
(pow.f64 (*.f64 (pow.f64 y 6) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y -1/6)))))
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/216))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y -1/6))))
(exp.f64 (log.f64 (.f64 y (.f64 y -1/6))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y -1/6))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y -1/6))))

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))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y))))
(*.f64 -1/5040 (pow.f64 y 6))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4)))
(fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6)))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y))))
(*.f64 -1/5040 (pow.f64 y 6))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4)))
(fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6)))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y))))
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(*.f64 1/120 (pow.f64 y 4))
(*.f64 1/120 (pow.f64 y 4))
(-.f64 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (-.f64 1 (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (-.f64 1 (fma.f64 -1/5040 (pow.f64 y 6) 1))))
(+.f64 (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))) 1)
(+.f64 1 (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))))
(-.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) (-.f64 1 (+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (-.f64 1 (fma.f64 -1/5040 (pow.f64 y 6) 1))))
(+.f64 (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))) 1)
(+.f64 1 (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1)))) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (-.f64 1 (fma.f64 -1/5040 (pow.f64 y 6) 1))))
(+.f64 (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))) 1)
(+.f64 1 (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))) (-.f64 1 (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (-.f64 1 (fma.f64 -1/5040 (pow.f64 y 6) 1))))
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(/.f64 (fma.f64 (pow.f64 y 6) -1/216 (.f64 (pow.f64 y 12) 1/1728000)) (-.f64 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (pow.f64 y 8) 1/14400)) (.f64 y (.f64 (*.f64 y -1/720) (pow.f64 y 4)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 (.f64 (pow.f64 y 12) 1/1728000)) (fma.f64 (pow.f64 y 4) 1/36 (fma.f64 (pow.f64 y 8) 1/14400 (.f64 (pow.f64 y 4) (.f64 (neg.f64 y) (.f64 y -1/720))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (sqrt.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)))) (sqrt.f64 (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))))
(/.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))) (/.f64 (sqrt.f64 (fma.f64 y (.f64 -1/6 y) (.f64 (pow.f64 y 4) -1/120))) (sqrt.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (pow.f64 y 8) -1/14400))) (/.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) -1/120))) (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 -1/6 y))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))) (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/120 (.f64 y (.f64 -1/6 y))))) (sqrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (pow.f64 y 8) -1/14400))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (*.f64 y -1/6)) 1/120) (pow.f64 y 4))))))
(/.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 -1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4)))))) (sqrt.f64 (fma.f64 (pow.f64 y 6) -1/216 (.f64 (pow.f64 y 12) 1/1728000)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))) (sqrt.f64 (-.f64 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (pow.f64 y 8) 1/14400)) (.f64 y (.f64 (.f64 y -1/720) (pow.f64 y 4)))))) (sqrt.f64 (fma.f64 (pow.f64 y 6) -1/216 (.f64 (pow.f64 y 12) 1/1728000))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))) (sqrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (fma.f64 (pow.f64 y 8) 1/14400 (.f64 (pow.f64 y 4) (.f64 (neg.f64 y) (.f64 y -1/720))))))) (sqrt.f64 (fma.f64 (pow.f64 y 6) -1/216 (*.f64 (pow.f64 y 12) 1/1728000))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2) (cbrt.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)))) (cbrt.f64 (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))) 2) (/.f64 (cbrt.f64 (fma.f64 y (.f64 -1/6 y) (.f64 (pow.f64 y 4) -1/120))) (cbrt.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))) 2) (cbrt.f64 (fma.f64 -1/6 (.f64 y y) (.f64 (pow.f64 y 4) -1/120)))) (cbrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (pow.f64 y 8) -1/14400))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))) 2) (cbrt.f64 (fma.f64 (pow.f64 y 4) -1/120 (.f64 y (.f64 -1/6 y))))) (cbrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (pow.f64 y 8) -1/14400))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (*.f64 y -1/6)) 1/120) (pow.f64 y 4))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))) 2) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 -1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4)))))) (cbrt.f64 (fma.f64 (pow.f64 y 6) -1/216 (.f64 (pow.f64 y 12) 1/1728000)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))) 2) (cbrt.f64 (fma.f64 (pow.f64 y 6) -1/216 (.f64 (pow.f64 y 12) 1/1728000)))) (cbrt.f64 (-.f64 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (pow.f64 y 8) 1/14400)) (.f64 y (.f64 (.f64 y -1/720) (pow.f64 y 4))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))) 2) (cbrt.f64 (fma.f64 (pow.f64 y 4) 1/36 (fma.f64 (pow.f64 y 8) 1/14400 (.f64 (pow.f64 y 4) (.f64 (neg.f64 y) (.f64 y -1/720))))))) (cbrt.f64 (fma.f64 (pow.f64 y 6) -1/216 (*.f64 (pow.f64 y 12) 1/1728000))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)) 1) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 -1/120 (pow.f64 y 4))))
(/.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 (pow.f64 y 8) 1/14400)) (fma.f64 y (.f64 -1/6 y) (.f64 (pow.f64 y 4) -1/120)))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (pow.f64 y 8) -1/14400)) (fma.f64 -1/6 (.f64 y y) (*.f64 (pow.f64 y 4) -1/120)))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (pow.f64 y 8) -1/14400)) (fma.f64 (pow.f64 y 4) -1/120 (.f64 y (*.f64 -1/6 y))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 y 6) -1/216) (.f64 (pow.f64 y 12) 1/1728000)) 1) (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 (.f64 y (*.f64 y -1/6)) 1/120) (pow.f64 y 4)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 (.f64 (pow.f64 y 12) 1/1728000)) (fma.f64 (pow.f64 y 4) 1/36 (-.f64 (.f64 (pow.f64 y 8) 1/14400) (.f64 (.f64 -1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 (.f64 (pow.f64 y 12) 1/1728000)) (-.f64 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (pow.f64 y 8) 1/14400)) (.f64 y (.f64 (*.f64 y -1/720) (pow.f64 y 4)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 (.f64 (pow.f64 y 12) 1/1728000)) (fma.f64 (pow.f64 y 4) 1/36 (fma.f64 (pow.f64 y 8) 1/14400 (.f64 (pow.f64 y 4) (.f64 (neg.f64 y) (.f64 y -1/720))))))
(pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(pow.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 2)
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))) 3)
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(pow.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(sqrt.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 2))
(fabs.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y))))
(log.f64 (exp.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))))))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(cbrt.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) 3))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(expm1.f64 (log1p.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(exp.f64 (log.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (*.f64 y -1/6)))) 1))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(log1p.f64 (expm1.f64 (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(fma.f64 1 (.f64 y (.f64 y -1/6)) (*.f64 1/120 (pow.f64 y 4)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(fma.f64 1 (.f64 1/120 (pow.f64 y 4)) (.f64 y (*.f64 y -1/6)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(fma.f64 (.f64 y y) -1/6 (.f64 1/120 (pow.f64 y 4)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(fma.f64 (pow.f64 y 4) 1/120 (.f64 y (.f64 y -1/6)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) 1))
(fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 -1/6 y)))
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) (*.f64 1/120 (pow.f64 y 4)))
(+.f64 (pow.f64 (.f64 y (sqrt.f64 -1/6)) 2) (.f64 1/120 (pow.f64 y 4)))
(+.f64 (.f64 1/120 (pow.f64 y 4)) (pow.f64 (.f64 y (sqrt.f64 -1/6)) 2))
(fma.f64 (.f64 (.f64 y y) (sqrt.f64 1/120)) (.f64 (.f64 y y) (sqrt.f64 1/120)) (.f64 y (.f64 y -1/6)))
(+.f64 (pow.f64 (.f64 (.f64 y y) (sqrt.f64 1/120)) 2) (.f64 -1/6 (.f64 y y)))
(+.f64 (.f64 y (.f64 -1/6 y)) (pow.f64 (.f64 (.f64 y y) (sqrt.f64 1/120)) 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 y (.f64 y -1/6))) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 -1/6 (.f64 y y))) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 y (.f64 -1/6 y))) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 8) 1/14400)) (cbrt.f64 (.f64 1/120 (pow.f64 y 4))) (.f64 y (.f64 y -1/6)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 8) 1/14400)) (cbrt.f64 (.f64 1/120 (pow.f64 y 4))) (.f64 -1/6 (.f64 y y)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 8) 1/14400)) (cbrt.f64 (.f64 1/120 (pow.f64 y 4))) (.f64 y (.f64 -1/6 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/120 (pow.f64 y 4)))) 1)
(*.f64 1/120 (pow.f64 y 4))
(pow.f64 (*.f64 1/120 (pow.f64 y 4)) 1)
(*.f64 1/120 (pow.f64 y 4))
(pow.f64 (.f64 (.f64 y y) (sqrt.f64 1/120)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/120 (pow.f64 y 4))) 3)
(*.f64 1/120 (pow.f64 y 4))
(pow.f64 (*.f64 (pow.f64 y 12) 1/1728000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 12) 1/1728000))
(sqrt.f64 (*.f64 (pow.f64 y 8) 1/14400))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 4)) 1/120))
(*.f64 1/120 (pow.f64 y 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/120 (pow.f64 y 4))
(cbrt.f64 (*.f64 (pow.f64 y 12) 1/1728000))
(expm1.f64 (log1p.f64 (*.f64 1/120 (pow.f64 y 4))))
(*.f64 1/120 (pow.f64 y 4))
(exp.f64 (log.f64 (*.f64 1/120 (pow.f64 y 4))))
(*.f64 1/120 (pow.f64 y 4))
(exp.f64 (.f64 (log.f64 (.f64 1/120 (pow.f64 y 4))) 1))
(*.f64 1/120 (pow.f64 y 4))
(log1p.f64 (expm1.f64 (*.f64 1/120 (pow.f64 y 4))))
(*.f64 1/120 (pow.f64 y 4))
(+.f64 1 (-.f64 (.f64 y (.f64 y -1/6)) 1))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(+.f64 (.f64 y (.f64 y -1/6)) 0)
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(-.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) 1)
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(pow.f64 (.f64 y (.f64 y -1/6)) 1)
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y -1/6))) 3)
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(pow.f64 (*.f64 (pow.f64 y 6) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/216))
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y -1/6)))))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/216))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y -1/6))))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(exp.f64 (log.f64 (.f64 y (.f64 y -1/6))))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y -1/6))) 1))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y -1/6))))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))

eval428.0ms (4.3%)

Compiler: Compiled 27966 to 13605 computations (51.4% saved)

prune307.0ms (3.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1258	6	1264
Fresh	5	4	9
Picked	1	0	1
Done	2	3	5
Total	1266	13	1279

Error

Counts

1279 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.2b	(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
	1.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
▶	1.1b	(/.f64 (sin.f64 y) y)
	0.6b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
	35.5b	(*.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) (sin.f64 y))
	0.3b	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	31.3b	(.f64 (cosh.f64 x) (+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (+.f64 (.f64 y (.f64 y -1/6)) 0) (*.f64 1/120 (pow.f64 y 4))))))
▶	16.9b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	30.4b	(*.f64 (cosh.f64 x) 1)

Compiler

Compiled 278 to 201 computations (27.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`associate-/r*`
1464×	`associate-*l/`
1090×	`*-commutative`
984×	`associate-/l*`
478×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	229	32
2	2966	32

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

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

Outputs

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simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1520×	`distribute-lft-in`
968×	`associate-/l*`
714×	`associate-/l/`
684×	`associate-r`
544×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	521	7197
1	1415	6965
2	6420	6965

Stop Event

1×	node limit

Counts

219 → 290

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`associate-/l*`
1524×	`associate-*l/`
1090×	`*-commutative`
496×	`associate-/r/`
420×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	227	43
2	2988	43

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

Outputs

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

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

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

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1642×	`unswap-sqr`
642×	`distribute-rgt-in`
634×	`distribute-lft-in`
494×	`associate-/l*`
444×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	4661
1	1028	4577
2	4176	4501

Stop Event

1×	node limit

Counts

195 → 245

Calls

Call 1

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.2b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
✓	16.9b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
1.0ms	y	@	-inf	(pow.f64 (/.f64 (sin.f64 y) y) 3)
1.0ms	y	@	inf	(pow.f64 (/.f64 (sin.f64 y) y) 3)
1.0ms	y	@	-inf	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
0.0ms	y	@	0	(pow.f64 (/.f64 (sin.f64 y) y) 3)

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`associate-*r/`
1042×	`*-commutative`
900×	`associate-*l/`
746×	`associate-/r*`
532×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	256	49
2	3021	49

Stop Event

1×	node limit

Counts

3 → 417

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.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 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (cbrt.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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 1 (sqrt.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 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change 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(cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (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 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (neg.f64 y) (neg.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 1 (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 (sqrt.f64 (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 y) (sqrt.f64 (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 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simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-/l/`
1172×	`associate-/r*`
1100×	`associate-/r/`
1054×	`associate-*r/`
946×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	981	12655
1	2548	12463

Stop Event

1×	node limit

Counts

465 → 575

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (cbrt.f64 -1)) y))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 y (sin.f64 y)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (.f64 -1/2 (pow.f64 y 2))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (.f64 -1/2 (.f64 y y))))
(fma.f64 (pow.f64 y 4) 13/120 (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (.f64 13/120 (pow.f64 y 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -41/3024 (pow.f64 y 6)))))
(fma.f64 13/120 (pow.f64 y 4) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 6) -41/3024))))
(+.f64 (fma.f64 (pow.f64 y 6) -41/3024 (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) 13/120 1))
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 y) y) 3)
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (*.f64 x x)) y)))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 1/24 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 4)) y))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (.f64 (sin.f64 y) (.f64 x x)) y) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (*.f64 1/24 (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 (.f64 (sin.f64 y) (.f64 x x)) y) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6)))))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (fma.f64 1/720 (.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (/.f64 (.f64 1/24 (sin.f64 y)) (/.f64 y (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y))
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))
(.f64 1/2 (/.f64 (.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 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 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -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 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.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 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 -1/10080 (.f64 (pow.f64 y 6) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1/12 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 y y)) (fma.f64 1/240 (.f64 (pow.f64 y 4) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (pow.f64 y 6) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/10080)))))
(.f64 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 (.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 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 (.f64 -1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 1 1/3))
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
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(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series15.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`associate-/l*`
1158×	`*-commutative`
720×	`swap-sqr`
578×	`associate-/r/`
430×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	257	46
2	3154	46

Stop Event

1×	node limit

Counts

2 → 188

Calls

Call 1

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

Outputs

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simplify121.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1268×	`distribute-rgt-in`
1266×	`distribute-lft-in`
756×	`*-commutative`
580×	`associate-r`
560×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	543	12340
1	1485	8922
2	5593	8922

Stop Event

1×	node limit

Counts

220 → 319

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

Outputs
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)))
(+.f64 (/.f64 (sin.f64 y) y) (.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (sin.f64 y) y)) (.f64 1/24 (/.f64 (sin.f64 y) y))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 5/48) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 5/48) (/.f64 (.f64 (sin.f64 y) 1/16) y)) (pow.f64 x 4) (/.f64 (.f64 (sin.f64 y) 1/2) (/.f64 y (.f64 x x)))))
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (.f64 1/720 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 6)) y)) (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (sin.f64 y) y)) (.f64 1/24 (/.f64 (sin.f64 y) y))) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)))))
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (fma.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 5/48) (pow.f64 (.f64 1/4 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2)) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (.f64 x x))) (/.f64 (sin.f64 y) y)) (fma.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) y) 5/48) (/.f64 (.f64 (sin.f64 y) 1/16) y)) (pow.f64 x 4) (/.f64 (.f64 (sin.f64 y) 1/720) (/.f64 y (pow.f64 x 6)))))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (sin.f64 y))) y)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 1/2) 2))))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) (.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))))
(fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2) (.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 (*.f64 y y) -1/12)))
(+.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/576 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (.f64 -1/24 (.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 1/2)))) 2))) (.f64 -1/12 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2)))))
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(*.f64 (pow.f64 (/.f64 (cosh.f64 x) y) 1/2) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (cosh.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (neg.f64 y))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))))
(/.f64 1 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (cosh.f64 x)))
(/.f64 (*.f64 1 (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 (cbrt.f64 (cosh.f64 x)) (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (sqrt.f64 (cosh.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (sqrt.f64 (cosh.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (/.f64 (sqrt.f64 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (sqrt.f64 (neg.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 y (neg.f64 (sin.f64 y)))))
(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (*.f64 (fabs.f64 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/2)
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) 1)
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 1/4) 2)
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))) 3)
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3/2))
(neg.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (neg.f64 (sqrt.f64 (/.f64 y (sin.f64 y))))))
(/.f64 (neg.f64 (sqrt.f64 (cosh.f64 x))) (neg.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 1 (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(fabs.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))))
(sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))

eval491.0ms (4.9%)

Compiler: Compiled 30850 to 11143 computations (63.9% saved)

prune609.0ms (6.1%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1803	9	1812
Fresh	4	1	5
Picked	1	0	1
Done	2	5	7
Total	1810	15	1825

Error

Counts

1825 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(pow.f64 (/.f64 y (sin.f64 y)) -1)
	14.0b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
✓	1.1b	(/.f64 (sin.f64 y) y)
✓	0.3b	(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
▶	31.8b	(+.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)))))
▶	31.6b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
▶	35.5b	(*.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) (sin.f64 y))
	35.6b	(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))
	2.2b	(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
	1.2b	(*.f64 (/.f64 1 y) (sin.f64 y))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
✓	30.4b	(*.f64 (cosh.f64 x) 1)
▶	17.6b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	30.9b	1

Compiler

Compiled 250 to 184 computations (26.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 y (sin.f64 y))
	0.1b	(pow.f64 (/.f64 y (sin.f64 y)) -1)

Compiler

Compiled 16 to 7 computations (56.3% saved)

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
0.0ms	y	@	0	(.f64 -1/6 (.f64 y y))
0.0ms	y	@	inf	(.f64 -1/6 (.f64 y y))
0.0ms	y	@	-inf	(.f64 -1/6 (.f64 y y))

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
990×	`add-cube-cbrt`
982×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1411	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
760×	`associate-r`
696×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	93	299
2	348	299
3	1913	299

Stop Event

1×	node limit

Counts

23 → 14

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
	0.2b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
	16.9b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

Compiler

Compiled 23 to 10 computations (56.5% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 -1/6 (pow.f64 y 2))
	0.5b	(*.f64 1/120 (pow.f64 y 4))
	9.6b	(+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4)))
	21.0b	(+.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)))))

Compiler

Compiled 77 to 63 computations (18.2% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 8 computations (76.5% saved)

series15.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
1.0ms	y	@	-inf	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
1.0ms	y	@	-inf	(/.f64 (cosh.f64 x) (sqrt.f64 y))
1.0ms	y	@	0	(/.f64 (cosh.f64 x) (sqrt.f64 y))
1.0ms	x	@	inf	(/.f64 (cosh.f64 x) (sqrt.f64 y))

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`unswap-sqr`
844×	`swap-sqr`
648×	`associate-/l/`
586×	`associate-/r/`
436×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	231	47
2	3180	47

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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

simplify139.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1428×	`distribute-rgt-in`
1422×	`distribute-lft-in`
648×	`associate-r`
624×	`associate-l`
620×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	479	6955
1	1283	6731
2	5082	6731

Stop Event

1×	node limit

Counts

237 → 269

Calls

Call 1

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

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

eval474.0ms (4.7%)

Compiler: Compiled 23432 to 11969 computations (48.9% saved)

prune312.0ms (3.1%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1279	9	1288
Fresh	2	3	5
Picked	1	0	1
Done	3	6	9
Total	1285	18	1303

Error

Counts

1303 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	1.6b	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3) -1)
	1.2b	(pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) y) -1)
	14.0b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
	2.2b	(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	26.8b	(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
	1.2b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
✓	1.1b	(/.f64 (sin.f64 y) y)
	1.2b	(/.f64 1 (/.f64 y (sin.f64 y)))
	31.8b	(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (+.f64 (.f64 y (.f64 y -1/6)) 0) (.f64 1/120 (pow.f64 y 4)))))
	31.6b	(+.f64 1 (.f64 y (.f64 -1/6 y)))
✓	31.6b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	1.2b	(*.f64 (/.f64 1 y) (sin.f64 y))
	0.6b	(.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))) (sin.f64 y))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
✓	30.4b	(*.f64 (cosh.f64 x) 1)
✓	17.6b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
	30.9b	1

Compiler

Compiled 181 to 137 computations (24.3% saved)

regimes79.0ms (0.8%)

Counts

39 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(+.f64 1 (.f64 y (.f64 -1/6 y)))
(*.f64 (cosh.f64 x) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 (*.f64 x x) y))) (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(pow.f64 (*.f64 (/.f64 1 (sin.f64 y)) y) -1)
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 1 (sin.f64 y)) y))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (+.f64 (.f64 y (.f64 y -1/6)) 0) (.f64 1/120 (pow.f64 y 4)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(*.f64 (cosh.f64 x) (pow.f64 (/.f64 y (sin.f64 y)) -1))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(+.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 (cosh.f64 x) (+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (+.f64 (.f64 y (.f64 y -1/6)) 0) (*.f64 1/120 (pow.f64 y 4))))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (sqrt.f64 (sin.f64 y)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3) -1)
(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))) 2)
(*.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(.f64 (cosh.f64 x) (+.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 (cosh.f64 x) (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (sqrt.f64 (.f64 (cosh.f64 x) 2)) (/.f64 (.f64 (/.f64 y (sin.f64 y)) 2) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))

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

Calls

5 calls:

19.0ms	x
18.0ms	y
14.0ms	(/.f64 (sin.f64 y) y)
14.0ms	(*.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 416 to 213 computations (48.8% saved)

regimes23.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
6.0ms	x
5.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

Results

Error	Segments	Branch
0.6b	1	`x`
0.6b	1	`y`
0.6b	1	`(cosh.f64 x)`
0.6b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 81 to 50 computations (38.3% saved)

regimes22.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
6.0ms	(/.f64 (sin.f64 y) y)
5.0ms	y
2.0ms	(cosh.f64 x)

Results

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

Compiler

Compiled 61 to 40 computations (34.4% saved)

regimes10.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
30.4b	1	`x`
30.4b	1	`y`
30.4b	1	`(cosh.f64 x)`

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes9.0ms (0.1%)

Accuracy

Total -1.0b remaining (-3.2%)

Threshold costs -1.0b (-3.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

5.0ms	y
3.0ms	x

Results

Error	Segments	Branch
30.9b	1	`x`
30.9b	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`*-rgt-identity`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	25	79

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

soundness0.0ms (0%)

end32.0ms (0.3%)

Compiler: Compiled 30 to 15 computations (50% saved)

Details

analyze222.0ms (2.2%)

sample4.1s (40.9%)

preprocess62.0ms (0.6%)

simplify97.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series10.0ms (0.1%)

rewrite71.0ms (0.7%)

simplify150.0ms (1.5%)

eval70.0ms (0.7%)

prune53.0ms (0.5%)

localize11.0ms (0.1%)

series6.0ms (0.1%)

rewrite87.0ms (0.9%)

simplify154.0ms (1.5%)

localize4.0ms (0%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite61.0ms (0.6%)

simplify64.0ms (0.6%)

localize13.0ms (0.1%)

series61.0ms (0.6%)

rewrite136.0ms (1.4%)

simplify157.0ms (1.6%)

localize41.0ms (0.4%)

series5.0ms (0%)

rewrite105.0ms (1%)

simplify179.0ms (1.8%)

eval428.0ms (4.3%)

prune307.0ms (3.1%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite78.0ms (0.8%)

simplify109.0ms (1.1%)

localize6.0ms (0.1%)

localize11.0ms (0.1%)

series3.0ms (0%)

rewrite74.0ms (0.7%)

simplify81.0ms (0.8%)

localize14.0ms (0.1%)

series6.0ms (0.1%)

rewrite101.0ms (1%)

simplify125.0ms (1.3%)

localize13.0ms (0.1%)

series15.0ms (0.1%)

rewrite76.0ms (0.8%)

simplify121.0ms (1.2%)

eval491.0ms (4.9%)

prune609.0ms (6.1%)

localize8.0ms (0.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite95.0ms (0.9%)

simplify37.0ms (0.4%)

localize11.0ms (0.1%)

localize32.0ms (0.3%)

localize11.0ms (0.1%)

series15.0ms (0.1%)

rewrite79.0ms (0.8%)

simplify139.0ms (1.4%)

eval474.0ms (4.7%)

prune312.0ms (3.1%)

regimes79.0ms (0.8%)

regimes23.0ms (0.2%)

regimes22.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end32.0ms (0.3%)

Profiling