Details

analyze192.0ms (2.3%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	8
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	9
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	10
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	11
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.3s (39.8%)

Results

947.0ms	2091×	body	1024	valid
752.0ms	2037×	body	1024	infinite
735.0ms	5130×	body	256	valid
344.0ms	1021×	body	512	infinite
250.0ms	2021×	body	256	infinite
228.0ms	1027×	body	512	valid
6.0ms	8×	body	2048	valid

Bogosity

preprocess57.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1300×	`associate-*r/`
1142×	`distribute-lft-in`
1098×	`associate-/r*`
988×	`distribute-rgt-in`
824×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	63	42
3	138	42
4	315	42
5	747	42
6	2400	42
7	6377	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
(*.f64 (sinh.f64 x) (/.f64 (cos.f64 y) x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1226×	`fma-neg`
1040×	`associate-r`
842×	`associate-/l*`
742×	`distribute-lft-in`
686×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	36	21
3	75	21
4	167	21
5	389	21
6	1223	21
7	4871	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.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

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series10.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

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

rewrite84.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`associate-*r/`
932×	`*-commutative`
836×	`associate-/r*`
798×	`associate-*l/`
690×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	186	42
2	2435	42

Stop Event

1×	node limit

Counts

4 → 244

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
(cos.f64 x)

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

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1018×	`times-frac`
762×	`associate-/r*`
708×	`associate-+r+`
690×	`unswap-sqr`
618×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	623	7666
1	1565	7358
2	7385	7358

Stop Event

1×	node limit

Counts

296 → 365

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1)
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 (cos.f64 x))))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) (sqrt.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (cos.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 y (*.f64 (sinh.f64 y) (cbrt.f64 (cos.f64 x)))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 y 1))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 y) (cos.f64 x)))
(/.f64 (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (/.f64 y (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))) (/.f64 y (cbrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
(/.f64 (.f64 (cos.f64 x) (.f64 (sinh.f64 y) 2)) (*.f64 y 2))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sinh.f64 y))) (/.f64 y (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(/.f64 (.f64 (cos.f64 x) (/.f64 (.f64 (sinh.f64 y) 2) y)) 2)
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (cos.f64 x) -1) (/.f64 y (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y)))) (sqrt.f64 y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y)))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sinh.f64 y)) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) 1) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) 1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (sinh.f64 y)) y)
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) 1) (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (.f64 (/.f64 (cos.f64 x) 1) (.f64 (sinh.f64 y) 2)) (*.f64 y 2))
(/.f64 (.f64 (/.f64 (cos.f64 x) 1) (/.f64 (.f64 (sinh.f64 y) 2) y)) 2)
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) 1) -1) (/.f64 y (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (sinh.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (sinh.f64 y)) (cbrt.f64 y))
(/.f64 (*.f64 -1 (cos.f64 x)) (/.f64 y (neg.f64 (sinh.f64 y))))
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(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))

Outputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 1/48 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (pow.f64 x 4)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 1/48 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (cos.f64 x)) (.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (cos.f64 x) (.f64 y y)) (fma.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.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 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/24 (.f64 (.f64 x x) -1/2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1)
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 y (*.f64 (sinh.f64 y) (cbrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (/.f64 y 1))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 y) (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) (/.f64 y (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 x) (sinh.f64 y))) y) (sqrt.f64 (*.f64 (cos.f64 x) (sinh.f64 y))))
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(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) y))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) 1))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 y)))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 y))))
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(fabs.f64 (/.f64 (sinh.f64 y) y))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(*.f64 1 (sinh.f64 y))
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 y)))))
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (sinh.f64 y)))))
(sinh.f64 y)
(.f64 (.f64 (sinh.f64 y) 2) 1/2)
(sinh.f64 y)
(*.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 (sinh.f64 y)))))
(sinh.f64 y)
(.f64 (.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (neg.f64 (sinh.f64 y)))))
(sinh.f64 y)
(*.f64 -1 (neg.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (neg.f64 (cbrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(.f64 1/2 (.f64 (sinh.f64 y) 2))
(sinh.f64 y)
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(sinh.f64 y)
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y))))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(sinh.f64 y)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(.f64 (.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))) (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))
(sinh.f64 y)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(/.f64 1 (/.f64 1 (sinh.f64 y)))
(sinh.f64 y)
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(sinh.f64 y)
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(sinh.f64 y)
(/.f64 2 (/.f64 2 (sinh.f64 y)))
(sinh.f64 y)
(/.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (.f64 (sinh.f64 y) 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) 2) (sqrt.f64 (*.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) 2)
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (.f64 (sinh.f64 y) 2))))
(.f64 (/.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (cbrt.f64 (.f64 2 (sinh.f64 y)))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 y))) (/.f64 2 (cbrt.f64 (.f64 2 (sinh.f64 y))))) (cbrt.f64 (.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 -2 (sinh.f64 y)) -2)
(sinh.f64 y)
(/.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (fma.f64 (exp.f64 y) 2 (/.f64 2 (exp.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (.f64 2 (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 2) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 2) (+.f64 1 (+.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (exp.f64 (+.f64 y y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 2) (+.f64 1 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 2)) (sqrt.f64 (.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 2)) (cbrt.f64 (.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) 1) -2)
(sinh.f64 y)
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 2)) (sqrt.f64 (.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 2)) (cbrt.f64 (.f64 2 (sinh.f64 y))))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) 1/2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.f64 (exp.f64 (+.f64 y y)) (.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (exp.f64 (+.f64 y y))))) 1/2)
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) 1/2)
(/.f64 (neg.f64 (*.f64 -2 (sinh.f64 y))) 2)
(sinh.f64 y)
(pow.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(sinh.f64 y)
(neg.f64 (neg.f64 (sinh.f64 y)))
(sinh.f64 y)
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2))
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(fabs.f64 (sinh.f64 y))
(log.f64 (exp.f64 (sinh.f64 y)))
(sinh.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(sinh.f64 y)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))))
(cos.f64 x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
(cos.f64 x)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(fabs.f64 (cos.f64 x))
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)

eval113.0ms (1.4%)

Compiler: Compiled 5653 to 2039 computations (63.9% saved)

prune91.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	358	7	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	359	7	366

Error

Counts

366 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
▶	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
▶	32.6b	(.f64 (+.f64 1 (.f64 (*.f64 x x) -1/2)) (/.f64 (sinh.f64 y) y))
	42.5b	(*.f64 (cos.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y))
▶	0.6b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
	0.2b	(.f64 (cos.f64 x) (.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y))))
▶	1.1b	(cos.f64 x)

Compiler

Compiled 148 to 108 computations (27% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.0b	(/.f64 y (sinh.f64 y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`associate-*r/`
1534×	`associate-/l*`
1094×	`associate-*l/`
1012×	`*-commutative`
538×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	192	32
2	2677	32

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

Inputs
(/.f64 y (sinh.f64 y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))

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

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(log.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))))

simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

868×	`distribute-rgt-in`
864×	`distribute-lft-in`
542×	`distribute-lft-neg-out`
532×	`distribute-lft-neg-in`
508×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	5585
1	994	4477
2	3980	4473

Stop Event

1×	node limit

Counts

179 → 205

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 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sinh.f64 y)))) 1)
(*.f64 y (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 1 (/.f64 y (sinh.f64 y)))
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) y)
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sinh.f64 y))))
(.f64 2 (/.f64 y (.f64 (sinh.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (/.f64 (sqrt.f64 y) 1))
(*.f64 (/.f64 (cbrt.f64 y) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (cbrt.f64 y) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 y 1) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 2)) (*.f64 y 2))
(.f64 (/.f64 y (.f64 (sinh.f64 y) 2)) 2)
(*.f64 -1 (/.f64 (neg.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)) (cbrt.f64 y))
(.f64 (/.f64 y (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 (sinh.f64 y) 2))) 2)
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 1 (sinh.f64 y)))
(.f64 (/.f64 (/.f64 y 1) (.f64 (sinh.f64 y) 2)) 2)
(.f64 (/.f64 (/.f64 y 1) (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(.f64 (/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))) 1)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(.f64 1 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)))
(.f64 (sqrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (cbrt.f64 (sinh.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cos.f64 x) y)))
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2))
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (cos.f64 x) 1))
(.f64 (neg.f64 (cos.f64 x)) (.f64 -1 (/.f64 (sinh.f64 y) y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) (neg.f64 y)))
(.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) (sqrt.f64 (sinh.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cos.f64 x) y)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))
(.f64 (/.f64 1 y) (.f64 (sinh.f64 y) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 -1 (/.f64 (sinh.f64 y) y)) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (sinh.f64 y)) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y) (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 y (sinh.f64 y))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cos.f64 x) -1) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sinh.f64 y))))
(.f64 (/.f64 1 (/.f64 y (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sinh.f64 y)))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) 1) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) -1) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) -1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 y))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y 1)) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) -1) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 3)
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3) 1/3)
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) -1)
(neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (sinh.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2))
(log.f64 (exp.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.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 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 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (*.f64 y 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x)))))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (.f64 -1/4 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y (.f64 x x))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4)))))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4)))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 y y) 1/6) (.f64 (pow.f64 y 4) 1/120))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (+.f64 (fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x)) (.f64 1/5040 (*.f64 (pow.f64 y 6) (cos.f64 x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (fma.f64 1/5040 (.f64 (pow.f64 y 6) (cos.f64 x)) (cos.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/5040 (pow.f64 y 6)) 1) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 y y) 1/6) (.f64 (pow.f64 y 4) 1/120))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cos.f64 x) y)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (sqrt.f64 (cos.f64 x)))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
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(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
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(.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 1 y) (.f64 (sinh.f64 y) (cos.f64 x)))
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(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
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(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
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(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(/.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 y (sinh.f64 y))) (cbrt.f64 (cos.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) -1) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 1 (/.f64 y (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sinh.f64 y)))) (cbrt.f64 (cos.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) 1) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) -1) (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) -1) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 y))) (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y 1)) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) -1) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(.f64 (/.f64 (cos.f64 x) (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 (sinh.f64 y)))))
(.f64 (/.f64 (cos.f64 x) (.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (neg.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 y)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 y)))
(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(.f64 (/.f64 (cos.f64 x) (.f64 (cbrt.f64 (neg.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(.f64 (/.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 3)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3) 1/3)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) -1)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2))
(fabs.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(fabs.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(log.f64 (exp.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)

Compiler

Compiled 5 to 3 computations (40% saved)

localize39.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	0.0b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
0.0ms	x	@	0	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
0.0ms	y	@	inf	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
0.0ms	y	@	0	(.f64 1/6 (.f64 y y))
0.0ms	y	@	inf	(.f64 1/6 (.f64 y y))

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`*-commutative`
848×	`unswap-sqr`
652×	`swap-sqr`
526×	`distribute-lft-in`
514×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	246	38
2	3047	38

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1610×	`associate-/l*`
1154×	`distribute-lft-in`
1046×	`distribute-rgt-in`
974×	`*-commutative`
878×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	4392
1	644	4070
2	2539	3950

Stop Event

1×	node limit

Counts

106 → 135

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (.f64 -1/720 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (.f64 1/6 (pow.f64 y 2))))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 y (.f64 1/6 y)) 0)
(+.f64 1 (-.f64 (.f64 y (.f64 1/6 y)) 1))
(-.f64 (fma.f64 (*.f64 1/6 y) y 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) 1/36)) 1))
(pow.f64 (.f64 y (.f64 1/6 y)) 1)
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 1/6 y))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 1/6 y)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 1/6 y))))
(exp.f64 (log.f64 (.f64 y (.f64 1/6 y))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 1/6 y))))
(+.f64 (cos.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x))))
(-.f64 (+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(/.f64 (cos.f64 x) (/.f64 1 (fma.f64 (*.f64 1/6 y) y 1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (/.f64 (-.f64 1 (.f64 y (*.f64 1/6 y))) (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (-.f64 1 (.f64 y (.f64 1/6 y))))
(/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 y 4) 1/36))) (.f64 (cos.f64 x) (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 y (.f64 1/6 y)) 1))
(/.f64 (.f64 (cos.f64 x) (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36)))) (neg.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (cos.f64 x) (+.f64 -1 (neg.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (neg.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (-.f64 1 (.f64 y (*.f64 1/6 y))))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 y 4) 1/36)))) (.f64 (cos.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1) (cos.f64 x)) (-.f64 (.f64 y (.f64 1/6 y)) 1))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36))) (cos.f64 x)) (neg.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (cos.f64 x)) (neg.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (.f64 y (*.f64 1/6 y))))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (pow.f64 y 4) 1/36))) 1) (.f64 (cos.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 (.f64 y (.f64 1/6 y)) (cos.f64 x)) (-.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (.f64 y (.f64 1/6 y))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))) (cbrt.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))
(pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 1/6 y) y 1)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 1/6 y) y 1) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(fma.f64 (cos.f64 x) 1 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(fma.f64 1 (cos.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (.f64 x x)) (.f64 1/6 (.f64 y y))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/6 (*.f64 y y) 1))))))
(.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (.f64 x x)) (fma.f64 1/24 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 4)) (.f64 1/6 (*.f64 y y)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/6 (.f64 y y) 1))) (fma.f64 1/6 (.f64 y y) (.f64 (fma.f64 1/6 (.f64 y y) 1) (*.f64 (pow.f64 x 4) 1/24)))))
(+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/720 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (.f64 1/6 (pow.f64 y 2))))))
(fma.f64 -1/720 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 6)) (+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (.f64 x x)) (fma.f64 1/24 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 4)) (.f64 1/6 (.f64 y y))))))
(+.f64 (fma.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/6 (.f64 y y) 1))) (fma.f64 1/6 (.f64 y y) (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (pow.f64 x 4) 1/24)))) (fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 1/6 (*.f64 y y) 1)) 1))
(fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 1/6 (.f64 y y) 1)) (+.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4))))))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (cos.f64 x))))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 y (.f64 1/6 y)) 0)
(.f64 1/6 (.f64 y y))
(+.f64 1 (-.f64 (.f64 y (.f64 1/6 y)) 1))
(.f64 1/6 (.f64 y y))
(-.f64 (fma.f64 (*.f64 1/6 y) y 1) 1)
(.f64 1/6 (.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 y y) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (.f64 y (.f64 1/6 y))) 1/36)) 1))
(-.f64 (/.f64 1 (-.f64 1 (.f64 y (.f64 1/6 y)))) (+.f64 1 (.f64 (/.f64 (pow.f64 y 4) (-.f64 1 (.f64 y (*.f64 1/6 y)))) 1/36)))
(-.f64 (/.f64 1 (-.f64 1 (.f64 1/6 (.f64 y y)))) (fma.f64 (/.f64 (pow.f64 y 4) (-.f64 1 (.f64 1/6 (.f64 y y)))) 1/36 1))
(+.f64 (/.f64 1 (+.f64 1 (.f64 y (.f64 y -1/6)))) (-.f64 -1 (/.f64 (pow.f64 y 4) (-.f64 36 (/.f64 y (/.f64 1/6 y))))))
(pow.f64 (.f64 y (.f64 1/6 y)) 1)
(.f64 1/6 (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 1/6 y))) 3)
(.f64 1/6 (.f64 y y))
(pow.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 1/3)
(.f64 1/6 (.f64 y y))
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))
(.f64 1/6 (.f64 y (log.f64 (exp.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 1/6 y)))))
(.f64 1/6 (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))
(.f64 1/6 (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 y (.f64 1/6 y))))
(.f64 1/6 (.f64 y y))
(exp.f64 (log.f64 (.f64 y (.f64 1/6 y))))
(.f64 1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 1/6 y))))
(.f64 1/6 (.f64 y y))
(+.f64 (cos.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)) (cos.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)))) 1)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
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(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (pow.f64 (cos.f64 x) 3)) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) (.f64 (.f64 1/6 (.f64 y y)) (.f64 (cos.f64 x) (fma.f64 y (*.f64 1/6 y) -1))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 -1/6)))) (.f64 (cos.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))))
(.f64 (/.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) -1/6) 1))) (hypot.f64 1 (pow.f64 (.f64 1/6 (*.f64 y y)) 3/2)))
(.f64 (hypot.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3/2)) (/.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (/.f64 (sqrt.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) -1/6) 1)) (cos.f64 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))) (.f64 (cos.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1)) (sqrt.f64 (-.f64 1 (.f64 1/6 (.f64 y y))))) (.f64 (cos.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))
(.f64 (.f64 (cos.f64 x) (hypot.f64 1 (.f64 y (sqrt.f64 1/6)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1)) (sqrt.f64 (+.f64 1 (.f64 y (*.f64 y -1/6))))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (.f64 y (.f64 1/6 y))))
(.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (.f64 y (.f64 1/6 y)))) (cos.f64 x))
(.f64 (/.f64 (cos.f64 x) (-.f64 1 (.f64 1/6 (*.f64 y y)))) (fma.f64 (pow.f64 y 4) -1/36 1))
(/.f64 (cos.f64 x) (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (fma.f64 (pow.f64 y 4) -1/36 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y))))) (sqrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))
(.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (.f64 y (.f64 1/6 y)))) (cos.f64 x))
(.f64 (/.f64 (cos.f64 x) (-.f64 1 (.f64 1/6 (*.f64 y y)))) (fma.f64 (pow.f64 y 4) -1/36 1))
(/.f64 (cos.f64 x) (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (fma.f64 (pow.f64 y 4) -1/36 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))) (cbrt.f64 (-.f64 1 (.f64 y (.f64 1/6 y)))))) (cbrt.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))
(.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (.f64 y (.f64 1/6 y)))) (cos.f64 x))
(.f64 (/.f64 (cos.f64 x) (-.f64 1 (.f64 1/6 (*.f64 y y)))) (fma.f64 (pow.f64 y 4) -1/36 1))
(/.f64 (cos.f64 x) (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (fma.f64 (pow.f64 y 4) -1/36 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6))))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) -1/6) 1)) (+.f64 1 (pow.f64 (.f64 1/6 (*.f64 y y)) 3)))
(.f64 (cos.f64 x) (/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) -1/6) 1)) (+.f64 1 (pow.f64 (.f64 1/6 (*.f64 y y)) 3)))
(.f64 (cos.f64 x) (/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) 1/36) 1/6)))))
(/.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/36) -1/6) 1)) (+.f64 1 (pow.f64 (.f64 1/6 (*.f64 y y)) 3)))
(.f64 (cos.f64 x) (/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1)))
(pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 1)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 2)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))) 3)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3) 1/3)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 2))
(fabs.f64 (.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 1/6 y) y 1)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1)) 3))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 1/6 y) y 1) 3) (pow.f64 (cos.f64 x) 3)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 1/6 y) y 1))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (cos.f64 x) 1 (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1 (cos.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (cos.f64 x)))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 18 computations (53.8% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`associate-/r*`
840×	`associate-/l*`
752×	`distribute-rgt-in`
710×	`distribute-lft-in`
336×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	272	31
2	3561	31

Stop Event

1×	node limit

Counts

1 → 161

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) y) (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) y) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) y) (*.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) y) (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) y) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 x (*.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) y) (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sinh.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 x (*.f64 x -1/2))) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 x (*.f64 x -1/2)))) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sinh.f64 y) y))) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 x (*.f64 x -1/2))) 1) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sinh.f64 y) y)) 1) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (sinh.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) (-.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) (-.f64 1 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 (sinh.f64 y) y) (*.f64 x (*.f64 x -1/2))) (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sinh.f64 y) y)) (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (*.f64 -1/4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 1 (*.f64 x (*.f64 x -1/2))))) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 (fma.f64 x (*.f64 x 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simplify177.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-/l*`
704×	`distribute-lft-neg-in`
682×	`distribute-rgt-neg-in`
676×	`associate-/l/`
530×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	484	10779
1	1371	9653
2	6026	9611

Stop Event

1×	node limit

Counts

185 → 248

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 1 (sinh.f64 y))
✓	0.2b	(/.f64 (cos.f64 x) y)
✓	0.2b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

15 calls:

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

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`*-commutative`
854×	`unswap-sqr`
776×	`associate-/r/`
686×	`swap-sqr`
644×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	233	43
2	3213	43

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

Inputs
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
(/.f64 (cos.f64 x) y)
(/.f64 1 (sinh.f64 y))

Outputs

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

simplify132.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1818×	`distribute-lft-in`
896×	`times-frac`
856×	`associate-l`
800×	`associate-r`
638×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	476	6640
1	1246	6296
2	6319	6296

Stop Event

1×	node limit

Counts

232 → 271

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) 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 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)))) 1)
(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(.f64 1 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (/.f64 (cos.f64 x) y) (sqrt.f64 (sinh.f64 y))))
(.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (sinh.f64 y)))
(.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))
(.f64 (cbrt.f64 (sinh.f64 y)) (.f64 (/.f64 (cos.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(.f64 -1 (.f64 (/.f64 (cos.f64 x) y) (neg.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) (neg.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (sinh.f64 y)) (sqrt.f64 (/.f64 (cos.f64 x) y)))
(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (sinh.f64 y)) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (.f64 (/.f64 (cos.f64 x) y) (cbrt.f64 (sinh.f64 y))))
(.f64 (/.f64 (cos.f64 x) 1) (.f64 (sinh.f64 y) (/.f64 1 y)))
(.f64 (.f64 (/.f64 (cos.f64 x) y) (cbrt.f64 (sinh.f64 y))) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(.f64 (.f64 (sinh.f64 y) (/.f64 1 y)) (cos.f64 x))
(.f64 (.f64 (sinh.f64 y) (/.f64 1 y)) (/.f64 (cos.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 1 (sinh.f64 y))) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) y) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 (cos.f64 x) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 1 (.f64 y (pow.f64 (sinh.f64 y) -1/2))))
(.f64 (/.f64 1 (.f64 y (pow.f64 (sinh.f64 y) -1/2))) (/.f64 (cos.f64 x) (pow.f64 (sinh.f64 y) -1/2)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 1 (sinh.f64 y)))))
(*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (/.f64 1 (sinh.f64 y))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (pow.f64 (sinh.f64 y) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (pow.f64 (sinh.f64 y) -1/2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (cos.f64 x))) (/.f64 1 y))
(.f64 (/.f64 1 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (sinh.f64 y)))) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 y (sinh.f64 y))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 y (sinh.f64 y))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (/.f64 1 (sinh.f64 y))) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cos.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y 1)) (cos.f64 x))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) y) (sqrt.f64 (sinh.f64 y))) 1) (sqrt.f64 (sinh.f64 y)))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (/.f64 (cos.f64 x) y) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) 1) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (/.f64 (cos.f64 x) y) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)))) (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)))) (cbrt.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))) (.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))))
(pow.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) 3) 1/3)
(pow.f64 (*.f64 y (/.f64 (/.f64 1 (sinh.f64 y)) (cos.f64 x))) -1)
(neg.f64 (*.f64 (/.f64 (cos.f64 x) y) (neg.f64 (sinh.f64 y))))
(neg.f64 (.f64 1 (.f64 (/.f64 (cos.f64 x) y) (neg.f64 (sinh.f64 y)))))
(neg.f64 (.f64 (.f64 (/.f64 (cos.f64 x) y) (neg.f64 (sinh.f64 y))) 1))
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) y) (neg.f64 (sinh.f64 y))) 1))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) (pow.f64 (/.f64 1 (sinh.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) y))) 1)
(*.f64 (cos.f64 x) (/.f64 1 y))
(*.f64 (cos.f64 x) (neg.f64 (/.f64 -1 y)))
(*.f64 (/.f64 (cos.f64 x) y) 1)
(*.f64 1 (/.f64 (cos.f64 x) y))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)))))
(*.f64 (/.f64 1 y) (cos.f64 x))
(*.f64 -1 (/.f64 (cos.f64 x) (neg.f64 y)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 y))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) (neg.f64 y))) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) (neg.f64 y)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 y))) (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 y)))))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 y)) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 y)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cos.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1 y))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))) (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))))
(*.f64 (/.f64 -1 y) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) y) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) y) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) 1) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (/.f64 1 (/.f64 y (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y) (cbrt.f64 (cos.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) (neg.f64 y)))) (sqrt.f64 (/.f64 (cos.f64 x) (neg.f64 y))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 y))) (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 y))))) (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 y))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))) (sqrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (/.f64 (cos.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (/.f64 (cos.f64 x) y))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)))) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))))
(pow.f64 (/.f64 (cos.f64 x) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) 1/3)
(pow.f64 (/.f64 y (cos.f64 x)) -1)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sinh.f64 y)))
(.f64 1 (/.f64 2 (.f64 (sinh.f64 y) 2)))
(*.f64 (/.f64 1 (sinh.f64 y)) 1)
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))))
(*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sinh.f64 y)))))
(*.f64 -1 (/.f64 -1 (sinh.f64 y)))
(*.f64 (/.f64 -1 (sinh.f64 y)) -1)
(.f64 2 (/.f64 1 (.f64 (sinh.f64 y) 2)))
(*.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))) (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 2)) 2)
(*.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 -1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 (.f64 -2 (sinh.f64 y))) -2)
(.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(.f64 (/.f64 -1 (.f64 -2 (sinh.f64 y))) 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)
(pow.f64 (sinh.f64 y) -1)
(neg.f64 (/.f64 -1 (sinh.f64 y)))
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))

Outputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 1/48 (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 1/48 (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (cos.f64 x) y))))
(*.f64 (/.f64 1 (/.f64 y (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) y) (cbrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) y)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) (neg.f64 y)))) (sqrt.f64 (/.f64 (cos.f64 x) (neg.f64 y))))
(/.f64 (cos.f64 x) y)
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 y))) (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 y))))) (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 y))))
(/.f64 (cos.f64 x) y)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))) (sqrt.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (/.f64 (cos.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (/.f64 (cos.f64 x) y))))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)))) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)))))
(/.f64 (cos.f64 x) y)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)))))
(pow.f64 (/.f64 (cos.f64 x) y) 1)
(/.f64 (cos.f64 x) y)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) 2)
(/.f64 (cos.f64 x) y)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 3)
(/.f64 (cos.f64 x) y)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) 1/3)
(/.f64 (cos.f64 x) y)
(pow.f64 (/.f64 y (cos.f64 x)) -1)
(/.f64 (cos.f64 x) y)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))
(/.f64 (cos.f64 x) y)
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))
(fabs.f64 (/.f64 (cos.f64 x) y))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) y))))
(/.f64 (cos.f64 x) y)
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3))
(/.f64 (cos.f64 x) y)
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3)))
(/.f64 (cos.f64 x) y)
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(exp.f64 (log.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)
(/.f64 1 (sinh.f64 y))
(*.f64 1 (/.f64 1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(.f64 1 (/.f64 2 (.f64 (sinh.f64 y) 2)))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (sinh.f64 y)) 1)
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sinh.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 -1 (/.f64 -1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 -1 (sinh.f64 y)) -1)
(/.f64 1 (sinh.f64 y))
(.f64 2 (/.f64 1 (.f64 (sinh.f64 y) 2)))
(/.f64 1 (sinh.f64 y))
(*.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))) (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))))
(/.f64 1 (sinh.f64 y))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y)))))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 2)) 2)
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 -1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(.f64 (/.f64 1 (.f64 -2 (sinh.f64 y))) -2)
(/.f64 1 (sinh.f64 y))
(.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (.f64 2 (sinh.f64 y)))) (sqrt.f64 2))
(.f64 (/.f64 -1 (.f64 -2 (sinh.f64 y))) 2)
(/.f64 1 (sinh.f64 y))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (.f64 2 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))))
(/.f64 1 (sinh.f64 y))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))
(.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))))
(.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))))
(/.f64 1 (sinh.f64 y))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))))
(.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(/.f64 1 (sinh.f64 y))
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(/.f64 1 (sinh.f64 y))
(pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3)
(/.f64 1 (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)
(/.f64 1 (sinh.f64 y))
(pow.f64 (sinh.f64 y) -1)
(/.f64 1 (sinh.f64 y))
(neg.f64 (/.f64 -1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(fabs.f64 (/.f64 1 (sinh.f64 y)))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(/.f64 1 (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3))
(/.f64 1 (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))

eval362.0ms (4.4%)

Compiler: Compiled 24046 to 11793 computations (51% saved)

prune319.0ms (3.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1284	7	1291
Fresh	2	0	2
Picked	1	0	1
Done	0	4	4
Total	1287	11	1298

Error

Counts

1298 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 y))
▶	29.6b	(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
	0.7b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	30.1b	(+.f64 (.f64 1/6 (.f64 y y)) 1)
▶	33.4b	(+.f64 1 (.f64 (.f64 x x) -1/2))
✓	32.6b	(.f64 (+.f64 1 (.f64 (*.f64 x x) -1/2)) (/.f64 (sinh.f64 y) y))
	52.2b	(.f64 (+.f64 1 (.f64 (*.f64 x x) -1/2)) (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y))
▶	0.2b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 y)) (cos.f64 x))
✓	0.6b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	1.1b	(cos.f64 x)

Compiler

Compiled 195 to 146 computations (25.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
	0.0b	(sinh.f64 y)
✓	0.0b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 y)) (cos.f64 x))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 1 y))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite115.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`*-commutative`
1002×	`associate-*r/`
840×	`unswap-sqr`
742×	`associate-*l/`
628×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	222	32
2	2724	32

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

Inputs
(*.f64 (sinh.f64 y) (/.f64 1 y))
(.f64 (.f64 (sinh.f64 y) (/.f64 1 y)) (cos.f64 x))

Outputs

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

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1116×	`unswap-sqr`
834×	`associate-/l*`
624×	`distribute-lft-in`
618×	`distribute-rgt-in`
540×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	5455
1	1123	5393
2	4370	5369

Stop Event

1×	node limit

Counts

187 → 261

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 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(/.f64 (sinh.f64 y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 1 (/.f64 (.f64 y 2) (.f64 (sinh.f64 y) 2)))
(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 -1 (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 -1 (/.f64 (.f64 (neg.f64 y) 2) (.f64 (sinh.f64 y) 2)))
(/.f64 (.f64 (sinh.f64 y) 2) (.f64 y 2))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 y 1/2))
(/.f64 2 (/.f64 (*.f64 y 2) (sinh.f64 y)))
(/.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(/.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (/.f64 (.f64 y 2) (sqrt.f64 (*.f64 (sinh.f64 y) 2))))
(/.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (/.f64 y (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (/.f64 (.f64 y 2) (cbrt.f64 (*.f64 (sinh.f64 y) 2))))
(/.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 y))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y) 2)
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (sinh.f64 y) 2)) (.f64 (.f64 y 2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (.f64 (.f64 y 2) (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(/.f64 (.f64 -2 (sinh.f64 y)) (.f64 (neg.f64 y) 2))
(/.f64 (.f64 -2 (sinh.f64 y)) (.f64 y -2))
(/.f64 (.f64 1 (/.f64 (.f64 (sinh.f64 y) 2) y)) 2)
(/.f64 (*.f64 1 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 1 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y)))) (cbrt.f64 y))
(/.f64 (.f64 (/.f64 1 y) (.f64 -2 (sinh.f64 y))) -2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 y -2))) 1) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 y -2))) -1) (cbrt.f64 (neg.f64 y)))
(/.f64 (.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y))) 1) (cbrt.f64 y))
(/.f64 (.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y))) -1) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sqrt.f64 (sinh.f64 y))) y)
(/.f64 (.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (.f64 y y))) (sqrt.f64 (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (cbrt.f64 (sinh.f64 y))) y)
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (cbrt.f64 (sinh.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (.f64 y y))) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) (/.f64 1 y)) -2)
(/.f64 (.f64 (/.f64 (.f64 (sinh.f64 y) 2) y) 1) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) y)) (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 y))
(/.f64 (.f64 1 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (cbrt.f64 (.f64 y y)))
(/.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y))) (cbrt.f64 (.f64 y y)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (.f64 y y)))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) 1) (*.f64 (neg.f64 y) 2))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) 1) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) -1) y)
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 (cbrt.f64 (*.f64 y y)))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y))) (cbrt.f64 (cbrt.f64 (.f64 y y)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (/.f64 1 (pow.f64 y 3))))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))) 1)
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (/.f64 (cos.f64 x) y)))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(/.f64 (.f64 (/.f64 (cos.f64 x) y) (.f64 (sinh.f64 y) 2)) 2)
(/.f64 (.f64 (cos.f64 x) (.f64 (sinh.f64 y) 2)) (*.f64 y 2))
(/.f64 (.f64 (cos.f64 x) (.f64 -2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))
(/.f64 (.f64 (sinh.f64 y) (.f64 (cos.f64 x) -1)) (neg.f64 y))
(/.f64 (.f64 1 (.f64 (sinh.f64 y) (cos.f64 x))) y)
(/.f64 (.f64 1 (.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) 2))) 2)
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (.f64 (cos.f64 x) (/.f64 (.f64 (sinh.f64 y) 2) y)) 2)
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y)))) (cbrt.f64 y))
(/.f64 (.f64 (/.f64 (cos.f64 x) y) (.f64 -2 (sinh.f64 y))) -2)
(/.f64 (.f64 (.f64 (sinh.f64 y) (cos.f64 x)) 1) y)
(/.f64 (.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (pow.f64 y -1/2)) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (sinh.f64 y) (cos.f64 x)) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sinh.f64 y) 2) (cos.f64 x)) (*.f64 y 2))
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (cos.f64 x)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) -2)
(/.f64 (.f64 (pow.f64 y -1/2) (.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 y))
(/.f64 (.f64 -1 (.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y))
(/.f64 (.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sinh.f64 y) (cos.f64 x))) (cbrt.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cos.f64 x)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (.f64 (/.f64 (.f64 (sinh.f64 y) 2) y) (cos.f64 x)) 2)
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (cos.f64 x)) (sqrt.f64 y))
(/.f64 (.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 y y))) (cos.f64 x)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) 2)) 1) 2)
(/.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 x) -1) (sinh.f64 y)) (neg.f64 y))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) (cos.f64 x)) (*.f64 (neg.f64 y) 2))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 1) y)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (cos.f64 x)) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 3)
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.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 1 (+.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 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
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(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
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(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
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(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (+.f64 (fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (cos.f64 x)) (.f64 1/5040 (*.f64 (pow.f64 y 6) (cos.f64 x)))))
(fma.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (.f64 y y) (cos.f64 x)) (fma.f64 1/5040 (.f64 (pow.f64 y 6) (cos.f64 x)) (cos.f64 x))))
(+.f64 (.f64 (fma.f64 1/6 (.f64 y y) 1) (cos.f64 x)) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
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(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x))))
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(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))))
(fma.f64 -1/4 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (.f64 x x)) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4)))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 y) (cos.f64 x))) (cbrt.f64 (*.f64 y y)))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (/.f64 (cos.f64 x) (cbrt.f64 (.f64 y y))))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 3)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3) 1/3)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2))
(fabs.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))
(fabs.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (cos.f64 x) 3)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

localize7.0ms (0.1%)

Compiler: Compiled 20 to 11 computations (45% 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)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
	0.0b	(/.f64 1 (sinh.f64 y))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`add-sqr-sqrt`
1876×	`*-un-lft-identity`
1746×	`add-cube-cbrt`
1722×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	193	11
2	2549	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1504×	`associate-+r+`
1068×	`associate-+l+`
946×	`associate-*r/`
632×	`associate-*l/`
492×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	935
1	309	889
2	1100	853
3	5133	853

Stop Event

1×	node limit

Counts

47 → 58

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
	0.2b	(/.f64 (cos.f64 x) y)
✓	0.2b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 y))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1972×	`*-un-lft-identity`
1840×	`add-cube-cbrt`
1812×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	208	5
2	2826	5

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 y))

Outputs

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1344×	`associate-/r*`
1336×	`associate-+r+`
1042×	`associate-+l+`
754×	`associate-/r/`
648×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	583
1	331	543
2	1655	539
3	5853	539

Stop Event

1×	node limit

Counts

65 → 57

Calls

Call 1

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

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

eval253.0ms (3.1%)

Compiler: Compiled 12258 to 5925 computations (51.7% saved)

prune210.0ms (2.5%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	789	5	794
Fresh	1	1	2
Picked	0	1	1
Done	3	5	8
Total	793	12	805

Error

Counts

805 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.6b	(/.f64 (/.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)) y) (/.f64 1 y))
✓	1.3b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 y))
▶	50.8b	(/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) 3))))
▶	29.6b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.7b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
✓	30.1b	(+.f64 (.f64 1/6 (.f64 y y)) 1)
✓	33.4b	(+.f64 1 (.f64 (.f64 x x) -1/2))
▶	1.2b	(.f64 (.f64 y (/.f64 1 y)) (cos.f64 x))
✓	0.6b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	1.1b	(cos.f64 x)
	30.4b	1

Compiler

Compiled 168 to 126 computations (25% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
	0.0b	(cos.f64 x)
✓	0.2b	(.f64 -1/6 (.f64 y y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`add-sqr-sqrt`
1540×	`*-un-lft-identity`
1448×	`add-cube-cbrt`
1438×	`add-cbrt-cube`
1428×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	165	28
2	2006	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1520×	`associate-/r*`
1062×	`associate-r`
798×	`associate-l`
668×	`distribute-lft-neg-in`
634×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1500
1	251	1408
2	840	1340
3	3899	1340

Stop Event

1×	node limit

Counts

70 → 63

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))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(-.f64 (fma.f64 -1/6 (*.f64 y y) 1) 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 (.f64 (pow.f64 (.f64 y y) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) -1/216))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(-.f64 (+.f64 1 (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(.f64 1 (fma.f64 -1/6 (.f64 y y) 1))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) 1)
(.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))
(.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (-.f64 1 (.f64 -1/6 (.f64 y y)))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y))))))
(/.f64 1 (/.f64 (-.f64 1 (.f64 -1/6 (.f64 y y))) (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y)))) (+.f64 1 (.f64 (pow.f64 (*.f64 y y) 3) -1/216))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (-.f64 1 (.f64 -1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (*.f64 y y)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1) (-.f64 (.f64 -1/6 (*.f64 y y)) 1))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (neg.f64 (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(/.f64 (neg.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216))) (neg.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (*.f64 y y))))))
(pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 1 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 -1/6 (*.f64 y y))) 1)
(fma.f64 (*.f64 -1/6 y) y 1)

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))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(.f64 y (.f64 -1/6 y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(-.f64 (fma.f64 -1/6 (*.f64 y y) 1) 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 (.f64 (pow.f64 (.f64 y y) 3) -1/216) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) -1/216))
(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))
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/216))
(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))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (*.f64 y y))) 1))
(.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))
(-.f64 (+.f64 1 (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(.f64 1 (fma.f64 -1/6 (.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (fma.f64 -1/6 (.f64 y y) 1) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (/.f64 1 (-.f64 1 (.f64 -1/6 (.f64 y y)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y))))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (*.f64 y y) 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))
(/.f64 1 (/.f64 (-.f64 1 (.f64 -1/6 (.f64 y y))) (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y)))) (+.f64 1 (.f64 (pow.f64 (*.f64 y y) 3) -1/216))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (*.f64 y y) 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (-.f64 1 (.f64 -1/6 (*.f64 y y))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (*.f64 y y)))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (*.f64 y y) 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (+.f64 (.f64 (pow.f64 y 4) 1/36) (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (*.f64 y y) 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))
(/.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1) (-.f64 (.f64 -1/6 (*.f64 y y)) 1))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (neg.f64 (-.f64 1 (.f64 -1/6 (*.f64 y y)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 1 (.f64 (*.f64 y y) 1/6)))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (*.f64 -1/6 y) -1))
(/.f64 (neg.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216))) (neg.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (*.f64 y y))))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) -1/216)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (*.f64 y y) 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 y 4) 1/36 (.f64 (.f64 y y) 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))
(pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log1p.f64 (.f64 y (.f64 -1/6 y))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log1p.f64 (.f64 y (.f64 -1/6 y))))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 1 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 -1/6 (*.f64 y y))) 1)
(fma.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) (cbrt.f64 (*.f64 (pow.f64 y 4) 1/36)) 1)
(fma.f64 (cbrt.f64 (.f64 y (.f64 -1/6 y))) (cbrt.f64 (*.f64 (pow.f64 y 4) 1/36)) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)) y)
✓	8.4b	(/.f64 (/.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)) y) (/.f64 1 y))

Compiler

Compiled 46 to 26 computations (43.5% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`associate-/r/`
582×	`distribute-rgt-in`
542×	`distribute-lft-in`
520×	`distribute-lft-neg-in`
474×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	264	36
2	3686	36

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 1 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (*.f64 x (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (/.f64 1 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (fma.f64 x (*.f64 x -1/2) 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (neg.f64 (neg.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) y)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 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simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1244×	`associate-+l+`
1110×	`associate-l`
1070×	`associate-r`
1026×	`associate-/l*`
654×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	384	6205
1	1065	5395
2	6802	5395

Stop Event

1×	node limit

Counts

213 → 240

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
	0.0b	(/.f64 (sinh.f64 y) y)

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`associate-r`
868×	`add-sqr-sqrt`
852×	`*-un-lft-identity`
806×	`pow1`
794×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	123	1
2	1149	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13
1	5	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) 3))))
✓	0.0b	(/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)))
✓	0.0b	(pow.f64 (sinh.f64 y) 3)
✓	41.0b	(cbrt.f64 (pow.f64 (sinh.f64 y) 3))

Compiler

Compiled 37 to 25 computations (32.4% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(pow.f64 (sinh.f64 y) 3)
1.0ms	y	@	-inf	(pow.f64 (sinh.f64 y) 3)
0.0ms	y	@	0	(pow.f64 (sinh.f64 y) 3)
0.0ms	y	@	0	(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
0.0ms	y	@	inf	(cbrt.f64 (pow.f64 (sinh.f64 y) 3))

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`associate-*l/`
1074×	`associate-/r*`
960×	`*-commutative`
850×	`associate-/l*`
582×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	261	38
2	3043	38

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(pow.f64 (sinh.f64 y) 3)
(/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)))
(/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) 3))))

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

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-r`
982×	`associate-l`
816×	`associate-/l*`
616×	`associate-/r*`
558×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	551	6350
1	1333	6144
2	7557	6144

Stop Event

1×	node limit

Counts

294 → 371

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(pow.f64 y 3)
(+.f64 (*.f64 1/2 (pow.f64 y 5)) (pow.f64 y 3))
(+.f64 (.f64 1/2 (pow.f64 y 5)) (+.f64 (pow.f64 y 3) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (.f64 1/2 (pow.f64 y 5)) (+.f64 (pow.f64 y 3) (+.f64 (.f64 41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(/.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 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
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 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(*.f64 (sinh.f64 y) 1)
(*.f64 (sinh.f64 y) (pow.f64 1 1/3))
(*.f64 1 (sinh.f64 y))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 y)))))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (pow.f64 (sinh.f64 y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (sinh.f64 y)))))
(*.f64 -1 (neg.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (sinh.f64 y)) -1)
(.f64 (.f64 (sinh.f64 y) 2) 1/2)
(*.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 (sinh.f64 y)))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (neg.f64 (sinh.f64 y)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (neg.f64 (cbrt.f64 (sinh.f64 y))))
(.f64 1/2 (.f64 (sinh.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 y) 2) 1/3) (cbrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 1 1/3) (sinh.f64 y))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (sinh.f64 y) 3/2) 1/3))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) 1) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y))))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) 1)
(/.f64 1 (/.f64 1 (sinh.f64 y)))
(/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (sinh.f64 y) -1/2))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 -1 (neg.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (pow.f64 (sinh.f64 y) 2) 1/3)))
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (sinh.f64 y)))))
(/.f64 2 (/.f64 2 (sinh.f64 y)))
(/.f64 -1 (/.f64 -1 (sinh.f64 y)))
(/.f64 (neg.f64 (sinh.f64 y)) -1)
(/.f64 (*.f64 (sinh.f64 y) 2) 2)
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (.f64 (sinh.f64 y) 2))))
(/.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (neg.f64 (sinh.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (.f64 (sinh.f64 y) 2))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 -1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 -2 (sinh.f64 y)) -2)
(/.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (.f64 2 (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(/.f64 (pow.f64 (pow.f64 (sinh.f64 y) 2) 1/3) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 1 1/3) (/.f64 1 (sinh.f64 y)))
(/.f64 (pow.f64 (pow.f64 (sinh.f64 y) 3/2) 1/3) (/.f64 1 (pow.f64 (pow.f64 (sinh.f64 y) 3/2) 1/3)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) 1) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) 1) -2)
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) 2)) (pow.f64 (pow.f64 (sinh.f64 y) 2) 1/3)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) 1/2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (sinh.f64 y)))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))
(/.f64 (/.f64 1 (/.f64 1/2 (sinh.f64 y))) 2)
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1)) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1)) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (pow.f64 (sinh.f64 y) -1/2))
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (sqrt.f64 (pow.f64 (sinh.f64 y) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 -1 (pow.f64 (sinh.f64 y) -1/2)) (/.f64 -1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 -1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))
(/.f64 (/.f64 -1 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2))
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) 1) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (neg.f64 (*.f64 -2 (sinh.f64 y))) 2)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (/.f64 1 (sinh.f64 y)) -1)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(neg.f64 (neg.f64 (sinh.f64 y)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2))
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sinh.f64 y) 3))) 1)
(*.f64 (pow.f64 (sinh.f64 y) 3) 1)
(*.f64 (sinh.f64 y) (pow.f64 (sinh.f64 y) 2))
(*.f64 (sinh.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 3))
(*.f64 1 (pow.f64 (sinh.f64 y) 3))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (sinh.f64 y) 2)))
(*.f64 (pow.f64 (sinh.f64 y) 3/2) (pow.f64 (sinh.f64 y) 3/2))
(.f64 (cbrt.f64 (sinh.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (sinh.f64 y) 2)))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (sinh.f64 y) 2)))
(*.f64 (pow.f64 (sinh.f64 y) 2) (sinh.f64 y))
(.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (sinh.f64 y) 2)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) 3) (pow.f64 (sqrt.f64 (sinh.f64 y)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 3) (sinh.f64 y))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (sinh.f64 y) 3))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3/2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 3/2)))
(/.f64 (pow.f64 (sinh.f64 y) 3) 1)
(/.f64 (pow.f64 (sinh.f64 y) 2) (/.f64 1 (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (pow.f64 (sinh.f64 y) 2)))
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (sinh.f64 y) 2)) (pow.f64 (sinh.f64 y) -1/2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (sinh.f64 y) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (.f64 (pow.f64 (sinh.f64 y) 2) (.f64 (sinh.f64 y) 2)) 2)
(/.f64 (pow.f64 (*.f64 (sinh.f64 y) 2) 3) 8)
(/.f64 (.f64 (.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 (sinh.f64 y) 2)) 1) 2)
(/.f64 (.f64 (pow.f64 (.f64 (sinh.f64 y) 2) 3) 1) 8)
(/.f64 (*.f64 -1 (pow.f64 (sinh.f64 y) 2)) (/.f64 -1 (sinh.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sinh.f64 y) 3)) -1)
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (pow.f64 (sinh.f64 y) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) (pow.f64 (sinh.f64 y) 2)) -2)
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (*.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 y) 2)) (sinh.f64 y)) 4)
(/.f64 (.f64 (.f64 (sinh.f64 y) (*.f64 (sinh.f64 y) 2)) (sinh.f64 y)) 2)
(sqrt.f64 (pow.f64 (sinh.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (sinh.f64 y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sinh.f64 y) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (sinh.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sinh.f64 y) 3)))
(exp.f64 (log.f64 (pow.f64 (sinh.f64 y) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (sinh.f64 y) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) 1)
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sinh.f64 y)))))
(*.f64 2 (/.f64 1/2 (sinh.f64 y)))
(*.f64 -1 (/.f64 -1 (sinh.f64 y)))
(*.f64 (/.f64 -1 (sinh.f64 y)) -1)
(*.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))) (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y)))))
(*.f64 (/.f64 1/2 (sinh.f64 y)) 2)
(*.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (sinh.f64 y))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 -1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1))
(.f64 (/.f64 2 (-.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.f64 (.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (/.f64 1 (.f64 -2 (sinh.f64 y))) -2)
(.f64 (/.f64 -1 (.f64 -2 (sinh.f64 y))) 2)
(.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(pow.f64 (pow.f64 (sinh.f64 y) 3) -1/3)
(pow.f64 (sinh.f64 y) -1)
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/3)
(neg.f64 (/.f64 -1 (sinh.f64 y)))
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 1 (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 (pow.f64 y -1/2) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) 1) (sinh.f64 y)))
(*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 -1 (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 y))
(*.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (.f64 (/.f64 1 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (sqrt.f64 (sinh.f64 y)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) y)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 1 y) (cbrt.f64 (sinh.f64 y))) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) -1)
(.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (.f64 (pow.f64 y -1/2) (cbrt.f64 (sinh.f64 y))))
(.f64 (.f64 (pow.f64 y -1/2) (cbrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) 1) (sinh.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (sinh.f64 y) -1/2)))
(.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (sinh.f64 y) -1/2)) (.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 1 y)))
(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) y)) 1) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (sinh.f64 y))) (cbrt.f64 (/.f64 1 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (cbrt.f64 (pow.f64 y -2)))) (cbrt.f64 (/.f64 1 y)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) y)) -1) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 y))))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) 1))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))

Outputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(pow.f64 y 3)
(+.f64 (*.f64 1/2 (pow.f64 y 5)) (pow.f64 y 3))
(fma.f64 1/2 (pow.f64 y 5) (pow.f64 y 3))
(fma.f64 (pow.f64 y 5) 1/2 (pow.f64 y 3))
(+.f64 (.f64 1/2 (pow.f64 y 5)) (+.f64 (pow.f64 y 3) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (fma.f64 1/2 (pow.f64 y 5) (pow.f64 y 3)) (*.f64 (pow.f64 y 7) 13/120))
(fma.f64 (pow.f64 y 5) 1/2 (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3)))
(+.f64 (.f64 1/2 (pow.f64 y 5)) (+.f64 (pow.f64 y 3) (+.f64 (.f64 41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(+.f64 (fma.f64 1/2 (pow.f64 y 5) (pow.f64 y 3)) (fma.f64 41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (fma.f64 (pow.f64 y 5) 1/2 (pow.f64 y 3)) (fma.f64 (pow.f64 y 7) 13/120 (*.f64 41/3024 (pow.f64 y 9))))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 3))
(*.f64 1/8 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 3))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y -1/6))
(fma.f64 y -1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 -1/6 y (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (/.f64 1 y) (fma.f64 y -1/6 (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (.f64 -31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 -31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 -1/6 y (*.f64 (pow.f64 y 3) 7/360))))
(+.f64 (fma.f64 y -1/6 (*.f64 (pow.f64 y 3) 7/360)) (fma.f64 (pow.f64 y 5) -31/15120 (/.f64 1 y)))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
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(/.f64 1 (sinh.f64 y))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y)))
(pow.f64 (pow.f64 (sinh.f64 y) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (sinh.f64 y) 3) -1/6) (pow.f64 (pow.f64 (sinh.f64 y) 3) -1/6))
(pow.f64 (sinh.f64 y) -1)
(/.f64 1 (sinh.f64 y))
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(/.f64 1 (sinh.f64 y))
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(/.f64 1 (sinh.f64 y))
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)
(/.f64 1 (sinh.f64 y))
(pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)))
(neg.f64 (/.f64 -1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(/.f64 1 (sinh.f64 y))
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (sinh.f64 y) y)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 y -1/2) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(/.f64 (sinh.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) 1) (sinh.f64 y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sinh.f64 y) (cbrt.f64 (/.f64 1 y))))
(.f64 (sinh.f64 y) (.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y))))
(*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y))
(/.f64 (sinh.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(/.f64 (sinh.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(*.f64 -1 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (cbrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (pow.f64 y -1/2))
(*.f64 (pow.f64 y -1/2) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (.f64 (/.f64 1 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 y) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(/.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) y)
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (sqrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) y)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 y) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(/.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) y)
(.f64 (.f64 (/.f64 1 y) (cbrt.f64 (sinh.f64 y))) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(*.f64 (/.f64 1 y) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(/.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) y)
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) -1)
(/.f64 (sinh.f64 y) y)
(.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (.f64 (pow.f64 y -1/2) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 y) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(/.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) y)
(.f64 (.f64 (pow.f64 y -1/2) (cbrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(*.f64 (/.f64 1 y) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(/.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) y)
(.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) 1) (sinh.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sinh.f64 y) (cbrt.f64 (/.f64 1 y))))
(.f64 (sinh.f64 y) (.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y))))
(.f64 (.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (sinh.f64 y) -1/2)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (sinh.f64 y) -1/2))))
(.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (sinh.f64 y) -1/2)) (.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (sinh.f64 y))))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (sinh.f64 y) -1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 1 y)))
(/.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 1 y))) (pow.f64 (cbrt.f64 y) 2))
(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) y)) 1) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 y) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(/.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) y)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (sinh.f64 y))) (cbrt.f64 (/.f64 1 y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sinh.f64 y) (cbrt.f64 (/.f64 1 y))))
(.f64 (sinh.f64 y) (.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y))))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (cbrt.f64 (pow.f64 y -2)))) (cbrt.f64 (/.f64 1 y)))
(.f64 (cbrt.f64 (pow.f64 y -2)) (.f64 (sinh.f64 y) (cbrt.f64 (/.f64 1 y))))
(.f64 (sinh.f64 y) (.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 -1))
(.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) (.f64 y (sqrt.f64 -1))))
(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) y)) -1) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (/.f64 1 (.f64 -1 (*.f64 y (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))))
(.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (/.f64 -1 (.f64 y (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(/.f64 (sinh.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 y))))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) 1))
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(fabs.f64 (/.f64 (sinh.f64 y) y))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)

eval330.0ms (4%)

Compiler: Compiled 14665 to 8935 computations (39.1% saved)

prune298.0ms (3.6%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	891	5	896
Fresh	0	1	1
Picked	1	0	1
Done	1	9	10
Total	893	15	908

Error

Counts

908 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 y))
	63.0b	(/.f64 (.f64 -1/2 (/.f64 (.f64 x x) y)) (/.f64 1 y))
✓	29.6b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	0.7b	(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
	50.8b	(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y)
	33.4b	(-.f64 (+.f64 2 (.f64 x (.f64 x -1/2))) 1)
✓	30.1b	(+.f64 (.f64 1/6 (.f64 y y)) 1)
✓	33.4b	(+.f64 1 (.f64 (.f64 x x) -1/2))
	33.4b	(.f64 (.f64 y (/.f64 1 y)) (+.f64 1 (.f64 (.f64 x x) -1/2)))
✓	1.2b	(.f64 (.f64 y (/.f64 1 y)) (cos.f64 x))
✓	0.6b	(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
	62.7b	(.f64 x (.f64 -1/2 x))
✓	1.1b	(cos.f64 x)
	30.4b	1

Compiler

Compiled 139 to 103 computations (25.9% saved)

regimes86.0ms (1%)

Counts

25 → 1

Calls

Call 1

Inputs
1
(.f64 x (.f64 -1/2 x))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(-.f64 (+.f64 2 (.f64 x (.f64 x -1/2))) 1)
(/.f64 (.f64 -1/2 (/.f64 (.f64 x x) y)) (/.f64 1 y))
(.f64 (.f64 y (/.f64 1 y)) (+.f64 1 (.f64 (.f64 x x) -1/2)))
(/.f64 (/.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)) y) (/.f64 1 y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(.f64 (.f64 y (/.f64 1 y)) (cos.f64 x))
(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (cos.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(.f64 (+.f64 1 (.f64 (*.f64 x x) -1/2)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(.f64 (.f64 (sinh.f64 y) (/.f64 1 y)) (cos.f64 x))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 1 (sinh.f64 y)))
(.f64 (cos.f64 x) (.f64 (/.f64 -1 y) (neg.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y)
(/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) 3))))
(.f64 (+.f64 1 (.f64 (*.f64 x x) -1/2)) (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y))
(*.f64 (cos.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y))

Outputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))

Calls

5 calls:

42.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms	x
12.0ms	y
11.0ms	(cos.f64 x)
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.0b	1	`(cos.f64 x)`
0.0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 240 to 134 computations (44.2% saved)

regimes41.0ms (0.5%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Calls

5 calls:

9.0ms	y
9.0ms	(cos.f64 x)
9.0ms	x
8.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.0b	1	`(cos.f64 x)`
0.0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 162 to 94 computations (42% saved)

regimes65.0ms (0.8%)

Counts

16 → 1

Calls

Call 1

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

Outputs
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))

Calls

4 calls:

40.0ms	y
12.0ms	x
7.0ms	(cos.f64 x)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.6b	1	`x`
0.6b	1	`y`
0.6b	1	`(cos.f64 x)`
0.6b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 146 to 87 computations (40.4% saved)

regimes27.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(cos.f64 x)

Calls

4 calls:

8.0ms	y
7.0ms	x
7.0ms	(cos.f64 x)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`y`
1.1b	1	`(cos.f64 x)`
1.1b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 114 to 72 computations (36.8% saved)

regimes47.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	y
5.0ms	x

Results

Error	Segments	Branch
30.1b	1	`x`
30.1b	1	`y`

Compiler

Compiled 74 to 49 computations (33.8% saved)

regimes9.0ms (0.1%)

Accuracy

Total -32.6b remaining (-107.2%)

Threshold costs -32.6b (-107.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Error	Segments	Branch
30.4b	1	`x`
30.4b	1	`y`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	96
1	23	96

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 y y)) 1)
1

Outputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cos.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 y y)) 1)
(+.f64 1 (.f64 1/6 (.f64 y y)))
1

Compiler

Compiled 46 to 34 computations (26.1% saved)

soundness0.0ms (0%)

end31.0ms (0.4%)

Compiler: Compiled 36 to 19 computations (47.2% saved)

Details

analyze192.0ms (2.3%)

sample3.3s (39.8%)

preprocess57.0ms (0.7%)

simplify54.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series10.0ms (0.1%)

rewrite84.0ms (1%)

simplify122.0ms (1.5%)

eval113.0ms (1.4%)

prune91.0ms (1.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite82.0ms (1%)

simplify119.0ms (1.4%)

localize3.0ms (0%)

localize39.0ms (0.5%)

series4.0ms (0%)

rewrite70.0ms (0.9%)

simplify104.0ms (1.3%)

localize13.0ms (0.2%)

series6.0ms (0.1%)

rewrite86.0ms (1%)

simplify177.0ms (2.1%)

localize12.0ms (0.1%)

series3.0ms (0%)

rewrite82.0ms (1%)

simplify132.0ms (1.6%)

eval362.0ms (4.4%)

prune319.0ms (3.9%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite115.0ms (1.4%)

simplify110.0ms (1.3%)

localize7.0ms (0.1%)

localize7.0ms (0.1%)

localize22.0ms (0.3%)

series0.0ms (0%)

rewrite61.0ms (0.7%)

simplify84.0ms (1%)

localize10.0ms (0.1%)

series0.0ms (0%)

rewrite65.0ms (0.8%)

simplify58.0ms (0.7%)

eval253.0ms (3.1%)

prune210.0ms (2.5%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite60.0ms (0.7%)

simplify66.0ms (0.8%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite86.0ms (1%)

simplify108.0ms (1.3%)

localize6.0ms (0.1%)

localize14.0ms (0.2%)

series0.0ms (0%)

rewrite45.0ms (0.5%)

simplify12.0ms (0.1%)

localize16.0ms (0.2%)

series3.0ms (0%)

rewrite85.0ms (1%)

simplify122.0ms (1.5%)

eval330.0ms (4%)

prune298.0ms (3.6%)

regimes86.0ms (1%)

regimes41.0ms (0.5%)

regimes65.0ms (0.8%)

regimes27.0ms (0.3%)

regimes47.0ms (0.6%)

regimes9.0ms (0.1%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end31.0ms (0.4%)

Profiling