Details

analyze231.0ms (2.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
48.3%	43.7%	46.8%	0.1%	9.4%	0%	0%	7
52.6%	46.8%	42.1%	0.1%	10.9%	0%	0%	8
56.1%	46.8%	36.7%	0.1%	16.4%	0%	0%	9
58.8%	48.4%	34%	0.1%	17.6%	0%	0%	10
60.9%	48.4%	31%	0.1%	20.5%	0%	0%	11
62.5%	49.2%	29.6%	0.1%	21.2%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.3s (36.9%)

Results

1.1s	6899×	body	256	valid
1.0s	2102×	body	1024	infinite
334.0ms	612×	body	1024	valid
298.0ms	1668×	body	256	infinite
292.0ms	1030×	body	512	infinite
282.0ms	745×	body	512	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess56.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1416×	`associate-/r*`
1204×	`associate-*l/`
1180×	`fma-def`
916×	`*-commutative`
780×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	69	42
3	146	42
4	333	42
5	823	42
6	2723	42
7	6943	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-r`
1204×	`fma-neg`
980×	`associate-/l*`
772×	`associate-l`
768×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	39	21
3	79	21
4	175	21
5	423	21
6	1383	21
7	5708	21

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 51 to 16 computations (68.6% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	3	7
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	3	8

Error

0.0b

Counts

8 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
▶	0.7b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series10.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

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

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`associate-*r/`
936×	`*-commutative`
838×	`associate-*l/`
834×	`associate-/r*`
700×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	187	37
2	2476	37

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

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

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

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

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-r`
1034×	`times-frac`
1022×	`associate-l`
854×	`associate-/l/`
764×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	7603
1	1531	7353

Stop Event

1×	node limit

Counts

263 → 343

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 (sinh.f64 y) x)
✓	0.6b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite105.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`associate-*r/`
936×	`*-commutative`
864×	`associate-/r*`
836×	`associate-*l/`
692×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	187	32
2	2466	32

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

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

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

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

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-/l*`
692×	`distribute-rgt-in`
690×	`distribute-lft-in`
602×	`associate-/l/`
586×	`distribute-frac-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	6382
1	1179	6268
2	4851	6192

Stop Event

1×	node limit

Counts

212 → 274

Calls

Call 1

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

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

localize34.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (sinh.f64 y))
	0.0b	(sinh.f64 y)
✓	1.4b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`associate-*r/`
1528×	`associate-/l*`
1094×	`associate-*l/`
1026×	`*-commutative`
538×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	193	32
2	2707	32

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

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

Outputs

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

simplify124.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1074×	`distribute-lft-in`
1066×	`distribute-rgt-in`
620×	`distribute-lft-neg-in`
558×	`distribute-rgt-neg-in`
506×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	6047
1	1082	4695
2	4300	4607

Stop Event

1×	node limit

Counts

191 → 209

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 x y)
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (/.f64 x y)))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (+.f64 (.f64 -1/36 x) (.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(.f64 1 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(.f64 (cbrt.f64 (sinh.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) 1))
(.f64 (neg.f64 (sin.f64 x)) (.f64 -1 (/.f64 (sinh.f64 y) x)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (sin.f64 x) x)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(.f64 (/.f64 1 (neg.f64 x)) (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 -1 (/.f64 (sinh.f64 y) x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) -1) (neg.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(.f64 (/.f64 1 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) -1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x 1)) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) -1) (neg.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 x)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) 1)
(*.f64 x (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 x (sinh.f64 y)) 1)
(*.f64 1 (/.f64 x (sinh.f64 y)))
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y))))
(.f64 2 (/.f64 x (.f64 (sinh.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x 1) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 2)) (+.f64 x x))
(.f64 (/.f64 x (.f64 (sinh.f64 y) 2)) 2)
(*.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x))
(.f64 (/.f64 x (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 (sinh.f64 y) 2))) 2)
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y)))
(.f64 (/.f64 (/.f64 x 1) (.f64 (sinh.f64 y) 2)) 2)
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(pow.f64 (/.f64 x (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)
(pow.f64 (/.f64 (sinh.f64 y) x) -1)
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y))))

Outputs
(*.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 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (.f64 -1/12 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x)))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (*.f64 x x) -1/12)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/240) (pow.f64 x 4) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (.f64 x x) -1/12))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 (.f64 x x) -1/12) (.f64 (pow.f64 x 4) 1/240))))
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (sinh.f64 y)) x)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 2 (/.f64 x (.f64 (sinh.f64 y) 2)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 x 1) (/.f64 1 (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 x (.f64 (sinh.f64 y) 2)) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 x (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 (sinh.f64 y) 2))) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 (/.f64 x 1) (.f64 (sinh.f64 y) 2)) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(.f64 (/.f64 x (.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 2 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 2 (sinh.f64 y)))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(.f64 (/.f64 x (.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 2 (sinh.f64 y)))) (cbrt.f64 2))
(.f64 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (cbrt.f64 2))
(pow.f64 (/.f64 x (sinh.f64 y)) 1)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) x) -1)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))
(fabs.f64 (/.f64 x (sinh.f64 y)))
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))

eval245.0ms (2.7%)

Compiler: Compiled 15356 to 5359 computations (65.1% saved)

prune202.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	956	8	964
Fresh	0	0	0
Picked	0	1	1
Done	2	0	2
Total	958	9	967

Error

Counts

967 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	2.6b	(/.f64 (sin.f64 x) (/.f64 x y))
	2.1b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
▶	1.6b	(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x))
▶	1.2b	(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 3))
▶	1.7b	(*.f64 (/.f64 (sin.f64 x) x) y)
	1.8b	(*.f64 (/.f64 y x) (sin.f64 x))
▶	27.8b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
▶	27.2b	(*.f64 1 (sinh.f64 y))

Compiler

Compiled 167 to 116 computations (30.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 3))
	0.1b	(/.f64 (sin.f64 x) x)
✓	0.6b	(cbrt.f64 (sinh.f64 y))
✓	0.7b	(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)

Compiler

Compiled 31 to 12 computations (61.3% saved)

series12.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
3.0ms	x	@	-inf	(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 3))
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
0.0ms	y	@	inf	(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 3))

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`associate-*r/`
1064×	`*-commutative`
864×	`associate-*l/`
854×	`associate-/r*`
714×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	253	35
2	3013	35

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

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

simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1664×	`associate-/l*`
898×	`associate-/l/`
846×	`associate-r`
760×	`times-frac`
750×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	549	7438
1	1413	7374
2	7998	7374

Stop Event

1×	node limit

Counts

246 → 322

Calls

Call 1

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

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

localize42.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`add-sqr-sqrt`
1728×	`*-un-lft-identity`
1602×	`add-cube-cbrt`
1576×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	163	17
2	2120	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-r`
1224×	`associate-l`
748×	`associate-+r+`
680×	`associate-+l+`
456×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	867
1	190	855
2	692	855
3	5005	855

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.2b	(.f64 -1/6 (.f64 x x))
✓	5.9b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series29.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
1.0ms	x	@	inf	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
1.0ms	y	@	inf	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
0.0ms	y	@	0	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
0.0ms	y	@	-inf	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`*-commutative`
776×	`unswap-sqr`
736×	`associate-*r/`
640×	`swap-sqr`
556×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	245	38
2	3027	38

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1762×	`associate-*r/`
1422×	`associate-/l*`
1074×	`associate-/l/`
966×	`associate-/r/`
748×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	5206
1	760	4810
2	2896	4570

Stop Event

1×	node limit

Counts

122 → 153

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) y)
(+.f64 (.f64 1/6 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (.f64 1/6 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) y)))
(+.f64 (.f64 1/5040 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 7))) (+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (.f64 1/6 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 (sinh.f64 y) (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y)))
(+.f64 (sinh.f64 y) (.f64 1 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y))))
(+.f64 (sinh.f64 y) (.f64 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y)) 1))
(+.f64 (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (sinh.f64 y))
(+.f64 (.f64 1 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y))) (sinh.f64 y))
(+.f64 (.f64 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y)) 1) (sinh.f64 y))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) (-.f64 1 (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)))) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (-.f64 (/.f64 (exp.f64 (neg.f64 y)) 2) (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y))))
(-.f64 (+.f64 (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (exp.f64 (log1p.f64 (sinh.f64 y)))) 1)
(-.f64 (+.f64 (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (/.f64 (exp.f64 y) 2)) (/.f64 (exp.f64 (neg.f64 y)) 2))
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (/.f64 1 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 1 (fma.f64 -1/6 (*.f64 x x) 1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (/.f64 (+.f64 1 (.f64 (*.f64 x x) 1/6)) (sinh.f64 y)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (/.f64 (+.f64 2 (.f64 2 (.f64 (.f64 x x) 1/6))) (*.f64 (sinh.f64 y) 2)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))) (sinh.f64 y)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))) (.f64 (sinh.f64 y) 2)))
(/.f64 (.f64 (sinh.f64 y) 2) (/.f64 2 (fma.f64 -1/6 (.f64 x x) 1)))
(/.f64 (.f64 (sinh.f64 y) 2) (/.f64 (+.f64 2 (.f64 2 (.f64 (.f64 x x) 1/6))) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))))
(/.f64 (.f64 (sinh.f64 y) 2) (/.f64 (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))))
(/.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (*.f64 (sinh.f64 y) 2)) 2)
(/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (+.f64 1 (.f64 (.f64 x x) 1/6)))
(/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (.f64 (sinh.f64 y) 2)) (+.f64 2 (.f64 2 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (.f64 (sinh.f64 y) 2)) (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 1 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (.f64 (sinh.f64 y) 2))) 2)
(/.f64 (.f64 1 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36)))) (+.f64 1 (.f64 (*.f64 x x) 1/6)))
(/.f64 (.f64 1 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))
(/.f64 (.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (.f64 (sinh.f64 y) 2))) (+.f64 2 (.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (.f64 (sinh.f64 y) 2))) (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (*.f64 -2 (sinh.f64 y))) -2)
(/.f64 (.f64 (sinh.f64 y) (-.f64 (.f64 (pow.f64 x 4) 1/36) 1)) (-.f64 (.f64 -1/6 (.f64 x x)) 1))
(/.f64 (.f64 (sinh.f64 y) (+.f64 -1 (neg.f64 (.f64 (pow.f64 x 4) -1/36)))) (+.f64 -1 (neg.f64 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (sinh.f64 y) (+.f64 -1 (neg.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (+.f64 -1 (neg.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/36) 1) (sinh.f64 y)) (-.f64 (.f64 -1/6 (.f64 x x)) 1))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 x 4) -1/36))) (sinh.f64 y)) (+.f64 -1 (neg.f64 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (sinh.f64 y)) (+.f64 -1 (neg.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) (fma.f64 -1/6 (*.f64 x x) 1)) -2)
(/.f64 (.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (.f64 (sinh.f64 y) 2)) 1) 2)
(/.f64 (.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) 1) (+.f64 1 (.f64 (*.f64 x x) 1/6)))
(/.f64 (.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) 1) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (.f64 (sinh.f64 y) 2)) 1) (+.f64 2 (.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (.f64 (sinh.f64 y) 2)) 1) (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) 1) (+.f64 1 (.f64 (.f64 x x) 1/6)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))) (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/6))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) 1) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))
(pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (fma.f64 -1/6 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 3))
(cbrt.f64 (.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (fma.f64 -1/6 (.f64 x x) 1) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(exp.f64 (log.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(+.f64 1 (-.f64 (.f64 -1/6 (.f64 x x)) 1))
(+.f64 (.f64 -1/6 (.f64 x x)) 0)
(-.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/6))) (+.f64 (/.f64 (.f64 (pow.f64 x 4) 1/36) (+.f64 1 (.f64 (*.f64 x x) 1/6))) 1))
(pow.f64 (.f64 -1/6 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 x x))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (.f64 x x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 x x))))

Outputs
(*.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 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (*.f64 x x) -1/12)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (*.f64 x x) -1/12)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (*.f64 x x) -1/12)))
(.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (*.f64 x x) -1/12)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (*.f64 x x) -1/12)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (*.f64 x x) -1/12)))
(.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
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(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)))))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 3))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(cbrt.f64 (.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (fma.f64 -1/6 (.f64 x x) 1) 3)))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(exp.f64 (log.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(+.f64 1 (-.f64 (.f64 -1/6 (.f64 x x)) 1))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(+.f64 (.f64 -1/6 (.f64 x x)) 0)
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(-.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))) -2)
(+.f64 -2 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))))
(-.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/6))) (+.f64 (/.f64 (.f64 (pow.f64 x 4) 1/36) (+.f64 1 (.f64 (*.f64 x x) 1/6))) 1))
(-.f64 (/.f64 1 (+.f64 1 (.f64 x (.f64 x 1/6)))) (+.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/36) (+.f64 1 (.f64 x (*.f64 x 1/6))))))
(+.f64 (-.f64 (/.f64 1 (fma.f64 x (.f64 x 1/6) 1)) (/.f64 (.f64 (pow.f64 x 4) 1/36) (fma.f64 x (*.f64 x 1/6) 1))) -1)
(+.f64 (/.f64 1 (fma.f64 x (.f64 x 1/6) 1)) (-.f64 -1 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) 1)) 1/36)))
(pow.f64 (.f64 -1/6 (.f64 x x)) 1)
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 x x))) 3)
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/216))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x x)))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (.f64 x x)))))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/216))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 x x))))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 x x))))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 x x))))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))

localize14.0ms (0.2%)

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 (/.f64 1 (sinh.f64 y)) x)
✓	1.4b	(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x))

Compiler

Compiled 28 to 14 computations (50% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`associate-/l*`
1398×	`associate-*l/`
1086×	`*-commutative`
544×	`associate-/r/`
342×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	227	43
2	2985	43

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

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

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

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

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

948×	`distribute-rgt-in`
940×	`distribute-lft-in`
556×	`associate-r`
548×	`*-commutative`
534×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	491	7228
1	1320	5826
2	4956	5730

Stop Event

1×	node limit

Counts

240 → 294

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 x y)
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (/.f64 x y)))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (+.f64 (.f64 -1/36 x) (.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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(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 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)
(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 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (*.f64 x x))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 4) 1/240))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 (.f64 x x) -1/12) (.f64 (pow.f64 x 4) 1/240))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (fma.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (fma.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (.f64 x x)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 (pow.f64 x 4) 1/240) (.f64 (pow.f64 x 6) -1/10080))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))
(fma.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (.f64 (sin.f64 x) (/.f64 y x)))
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.f64 (sin.f64 x) (/.f64 y x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (*.f64 (sin.f64 x) (/.f64 y x))))
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 y x))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/5040 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)) (.f64 (sin.f64 x) (/.f64 y x)))))
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 y x)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x)
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))
(/.f64 x y)
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (/.f64 x y)))
(fma.f64 -1/6 (.f64 y x) (fma.f64 -1 (.f64 (pow.f64 y 3) (*.f64 x -7/360)) (/.f64 x y)))
(fma.f64 -1/6 (.f64 y x) (-.f64 (/.f64 x y) (.f64 (pow.f64 y 3) (*.f64 x -7/360))))
(+.f64 (/.f64 x y) (.f64 x (-.f64 (.f64 y -1/6) (*.f64 -7/360 (pow.f64 y 3)))))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (+.f64 (.f64 -1/36 x) (.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y))))
(fma.f64 -1/6 (.f64 y x) (fma.f64 -1 (.f64 (pow.f64 y 3) (.f64 x -7/360)) (fma.f64 -1 (.f64 (pow.f64 y 5) (fma.f64 -1/720 x (fma.f64 -1/6 (.f64 x -7/360) (.f64 x 1/5040)))) (/.f64 x y))))
(fma.f64 -1/6 (.f64 y x) (-.f64 (-.f64 (/.f64 x y) (.f64 (pow.f64 y 5) (fma.f64 x -1/720 (fma.f64 x 1/5040 (.f64 x 7/2160))))) (.f64 (pow.f64 y 3) (*.f64 x -7/360))))
(+.f64 (-.f64 (/.f64 x y) (.f64 (pow.f64 y 5) (fma.f64 x -1/720 (.f64 x 13/3780)))) (.f64 x (-.f64 (.f64 y -1/6) (*.f64 -7/360 (pow.f64 y 3)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(/.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))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 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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(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 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 (/.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 (/.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)) (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 2 (/.f64 1 (.f64 (sinh.f64 y) 2)))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 -1 (sinh.f64 y)) -1)
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 1 (sinh.f64 y))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 2)) 2)
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))
(pow.f64 (sqrt.f64 (sinh.f64 y)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1))
(/.f64 1 (sinh.f64 y))
(.f64 (/.f64 1 (.f64 -2 (sinh.f64 y))) -2)
(/.f64 1 (sinh.f64 y))
(.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 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(.f64 (/.f64 2 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (.f64 y -2)))) (+.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 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 2 (/.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))))))
(/.f64 2 (/.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 y -2))))))
(.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 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (cbrt.f64 (.f64 2 (sinh.f64 y)))) (cbrt.f64 2))
(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 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)
(/.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 (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))

eval279.0ms (3.1%)

Compiler: Compiled 19272 to 8420 computations (56.3% saved)

prune355.0ms (3.9%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1147	7	1154
Fresh	0	3	3
Picked	1	0	1
Done	0	5	5
Total	1148	15	1163

Error

Counts

1163 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
▶	2.6b	(/.f64 (sin.f64 x) (/.f64 x y))
▶	2.1b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
▶	2.7b	(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
	29.3b	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
	14.8b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) y)
✓	1.2b	(*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 3))
✓	1.7b	(*.f64 (/.f64 (sin.f64 x) x) y)
▶	1.8b	(*.f64 (/.f64 y x) (sin.f64 x))
✓	27.8b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
▶	29.3b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
	1.8b	(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
	28.1b	(.f64 1 (+.f64 y (.f64 1/6 (pow.f64 y 3))))
✓	27.2b	(*.f64 1 (sinh.f64 y))
	28.5b	y

Compiler

Compiled 238 to 166 computations (30.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`add-sqr-sqrt`
1728×	`*-un-lft-identity`
1602×	`add-cube-cbrt`
1576×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	163	17
2	2120	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-r`
1098×	`associate-l`
644×	`associate-+r+`
568×	`associate-+l+`
454×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	867
1	189	855
2	670	855
3	4727	855

Stop Event

1×	node limit

Counts

47 → 41

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 -1/6 (.f64 x x))
✓	5.9b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)

Compiler

Compiled 30 to 16 computations (46.7% saved)

series16.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1960×	`add-sqr-sqrt`
1932×	`*-un-lft-identity`
1808×	`add-cube-cbrt`
1790×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	204	21
2	2498	21

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1694×	`fma-def`
1002×	`associate-r`
882×	`associate-l`
584×	`log-prod`
524×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	1073
1	185	1045
2	552	1029
3	3139	1029
4	6919	1029

Stop Event

1×	node limit

Counts

45 → 37

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (sin.f64 x) (/.f64 x y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`add-sqr-sqrt`
1924×	`*-un-lft-identity`
1792×	`add-cube-cbrt`
1766×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	169	17
2	2361	17

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-*r/`
936×	`associate-*l/`
760×	`associate-/l*`
740×	`associate-+l-`
668×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	1352
1	344	1316
2	1319	1316
3	6286	1316

Stop Event

1×	node limit

Counts

66 → 62

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 y) x)
✓	1.0b	(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`associate-/l*`
1460×	`associate-*r/`
992×	`associate-*l/`
966×	`*-commutative`
438×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	203	24
2	2646	24

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1056×	`*-commutative`
898×	`unswap-sqr`
488×	`associate-/l*`
458×	`log-prod`
388×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	3057
1	930	3001
2	3345	2997

Stop Event

1×	node limit

Counts

199 → 197

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
✓	0.3b	(.f64 -1/6 (.f64 y x))
✓	1.0b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))

Compiler

Compiled 39 to 15 computations (61.5% saved)

series7.0ms (0.1%)

Counts

3 → 39

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(.f64 -1/6 (.f64 y x))
1.0ms	x	@	inf	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
1.0ms	x	@	-inf	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
1.0ms	x	@	0	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
1.0ms	y	@	inf	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`associate-*l/`
1524×	`associate-/r*`
1178×	`associate-/l*`
420×	`associate-/r/`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	263	65
2	3653	65

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

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

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

624×	`+-commutative`
590×	`associate-/l*`
556×	`associate-r`
524×	`distribute-lft-neg-in`
502×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	10553
1	1236	9749
2	5835	9653

Stop Event

1×	node limit

Counts

185 → 272

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(.f64 -1 (/.f64 (sin.f64 x) (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/216 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 -6 (/.f64 (sin.f64 x) (.f64 y x)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))))
(+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 5) x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x)))))
(+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 5) x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (+.f64 (.f64 -1296 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 7) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))))))
(.f64 -6 (/.f64 (sin.f64 x) (.f64 y x)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))))
(+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 5) x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x)))))
(+.f64 (.f64 -216 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 5) x))) (+.f64 (.f64 -36 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 3) x))) (+.f64 (.f64 -1296 (/.f64 (sin.f64 x) (.f64 (pow.f64 y 7) x))) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y x))))))
(/.f64 x y)
(.f64 -1/6 (.f64 y x))
(.f64 -1/6 (.f64 y x))
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 (+.f64 (/.f64 1 y) (.f64 -1/6 y)) x)
(.f64 -1 (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))
(.f64 -1 (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))
(.f64 -1 (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))
(.f64 -1 (.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) 1)
(.f64 (sin.f64 x) (/.f64 1 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))))
(.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 1)
(.f64 1 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 x y) (/.f64 x y))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))) (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(.f64 (/.f64 1 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) (sin.f64 x))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))) (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))))
(.f64 (/.f64 1 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (.f64 (sin.f64 x) (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) (.f64 (sin.f64 x) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y)))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y)))
(.f64 (/.f64 (sin.f64 x) (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))
(.f64 (/.f64 -1 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 -1/6 (.f64 x y) (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) (sqrt.f64 (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 -1/6 (.f64 x y) (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (neg.f64 (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y))))
(.f64 (/.f64 (sin.f64 x) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))))
(.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (/.f64 x y) 2) (.f64 (pow.f64 (.f64 x y) 2) 1/36))) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y))))
(.f64 (/.f64 1 (/.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (neg.f64 (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.f64 (pow.f64 (/.f64 x y) 2) (.f64 (pow.f64 (.f64 x y) 2) 1/36))) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y)))))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))) (sqrt.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (sqrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y)))))))
(.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 2)) (cbrt.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (cbrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 -1/6 y)))) 1)
(pow.f64 (.f64 x (.f64 -1/6 y)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 -1/6 y))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 -1/6 y))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 -1/6 y)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216))
(expm1.f64 (log1p.f64 (.f64 x (.f64 -1/6 y))))
(exp.f64 (log.f64 (.f64 x (.f64 -1/6 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 -1/6 y))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 -1/6 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 -1/6 y)))) (-.f64 1 (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) (-.f64 1 (.f64 x (.f64 -1/6 y))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (/.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)) 1/36)) (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y))))
(-.f64 (+.f64 (.f64 x (.f64 -1/6 y)) (exp.f64 (log1p.f64 (/.f64 x y)))) 1)
(-.f64 (+.f64 (/.f64 x y) (exp.f64 (log1p.f64 (.f64 x (.f64 -1/6 y))))) 1)
(.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)) 1)
(.f64 1 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))
(.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))))
(.f64 (/.f64 1 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))) (-.f64 (.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))) (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (-.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (+.f64 (pow.f64 (/.f64 x y) 2) (/.f64 (.f64 x y) (/.f64 (/.f64 y x) -1/6)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) (-.f64 (.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (pow.f64 (.f64 x y) 2) 1/36)) (.f64 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) 3) (pow.f64 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))) 3))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (pow.f64 (.f64 x y) 2) 1/36)) (-.f64 (.f64 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))) (.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))))
(/.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) 1)
(/.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)) (/.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)) (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y))))
(/.f64 1 (/.f64 1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(/.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) (/.f64 1 (sqrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))))
(/.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (/.f64 1 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y))))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (/.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)) (sqrt.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (/.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)) (cbrt.f64 (-.f64 (.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (neg.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (.f64 (pow.f64 (.f64 x y) 2) 1/36)) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) 1) (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) 1) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) 1) (neg.f64 (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (.f64 (pow.f64 (.f64 x y) 2) 1/36)) 1) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) (sqrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (sqrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y)))) (sqrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 2)) (cbrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (pow.f64 (.f64 x y) 2) 1/36)) (/.f64 (pow.f64 (/.f64 x y) 3) (/.f64 y x))) (/.f64 1 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)))) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) 3) (pow.f64 (pow.f64 (/.f64 x y) 2) 3)) (/.f64 1 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)))) (+.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (pow.f64 (.f64 x y) 2) 1/36)) (/.f64 (pow.f64 (/.f64 x y) 3) (/.f64 y x))) (.f64 (.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (.f64 (pow.f64 (.f64 x y) 3) -1/216)) (.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))) (-.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) 3) (pow.f64 (pow.f64 (/.f64 x y) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (.f64 (pow.f64 (.f64 x y) 3) -1/216)) (-.f64 (.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 3)) (.f64 (.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) 1) (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (sqrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)))) (sqrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))) (cbrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))))) (cbrt.f64 (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (+.f64 (sqrt.f64 (.f64 x (.f64 -1/6 y))) (sqrt.f64 (/.f64 x y)))) (-.f64 (sqrt.f64 (.f64 x (.f64 -1/6 y))) (sqrt.f64 (/.f64 x y))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) 1) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))))
(pow.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(fma.f64 x (/.f64 1 y) (.f64 x (.f64 -1/6 y)))
(fma.f64 -1/6 (*.f64 x y) (/.f64 x y))
(fma.f64 (*.f64 x y) -1/6 (/.f64 x y))
(fma.f64 1 (.f64 x (.f64 -1/6 y)) (/.f64 x y))
(fma.f64 1 (/.f64 x y) (.f64 x (.f64 -1/6 y)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 -1/6 y))) (sqrt.f64 (.f64 x (.f64 -1/6 y))) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (.f64 x (.f64 -1/6 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 -1/6 y))) 2) (cbrt.f64 (.f64 x (.f64 -1/6 y))) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (.f64 x (.f64 -1/6 y)))
(fma.f64 (*.f64 -1/6 y) x (/.f64 x y))

Outputs
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 -1/6 (/.f64 (.f64 x x) (+.f64 (/.f64 1 y) (.f64 y -1/6)))))
(fma.f64 -1/6 (/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 -1/6 (/.f64 (.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) 3) (pow.f64 (pow.f64 (/.f64 x y) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (.f64 (pow.f64 (.f64 x y) 3) -1/216)) (-.f64 (.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 3)) (.f64 (.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 y x) 3) -1/216) 3) (pow.f64 (pow.f64 (/.f64 x y) 3) 3)) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 3)) 1/46656) (-.f64 (pow.f64 (/.f64 x y) 6) (.f64 (pow.f64 (.f64 y x) 3) (.f64 -1/216 (pow.f64 (/.f64 x y) 3))))) (/.f64 1 (fma.f64 (pow.f64 (.f64 y x) 2) 1/36 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 -1/6 (*.f64 y x))))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) -1/10077696 (pow.f64 (pow.f64 (/.f64 x y) 3) 3)) (.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 1/216 (pow.f64 (.f64 y x) 3))) (.f64 (pow.f64 (.f64 y x) 6) 1/46656)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (.f64 1/6 (.f64 y x))) (.f64 1/36 (pow.f64 (.f64 y x) 2)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) -1/10077696 (pow.f64 (pow.f64 (/.f64 x y) 3) 3)) (.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 1/216 (pow.f64 (.f64 y x) 3))) (.f64 (pow.f64 (.f64 y x) 6) 1/46656)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (.f64 y (.f64 x 1/6))) (.f64 1/36 (pow.f64 (.f64 y x) 2)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) 1) (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)))
(-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))) 1/36) (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 (.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)) (fma.f64 -1/6 (*.f64 y x) (/.f64 (neg.f64 x) y)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (sqrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y)))) (sqrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))))
(-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))) 1/36) (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 (.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)) (fma.f64 -1/6 (*.f64 y x) (/.f64 (neg.f64 x) y)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))) (cbrt.f64 (-.f64 (.f64 x (.f64 -1/6 y)) (/.f64 x y))))) (cbrt.f64 (-.f64 (.f64 x (*.f64 -1/6 y)) (/.f64 x y))))
(-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))) 1/36) (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 (.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)) (fma.f64 -1/6 (*.f64 y x) (/.f64 (neg.f64 x) y)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (+.f64 (sqrt.f64 (.f64 x (.f64 -1/6 y))) (sqrt.f64 (/.f64 x y)))) (-.f64 (sqrt.f64 (.f64 x (.f64 -1/6 y))) (sqrt.f64 (/.f64 x y))))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 (.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)) (.f64 (-.f64 (sqrt.f64 (.f64 -1/6 (.f64 y x))) (sqrt.f64 (/.f64 x y))) (+.f64 (sqrt.f64 (.f64 -1/6 (*.f64 y x))) (sqrt.f64 (/.f64 x y)))))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 (.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)) (.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (.f64 y (.f64 -1/6 x)))) (-.f64 (sqrt.f64 (.f64 y (*.f64 -1/6 x))) (sqrt.f64 (/.f64 x y)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) 1) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (*.f64 -1/6 y))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (pow.f64 (.f64 y x) 2) 1/36 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 -1/6 (*.f64 y x))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (.f64 1/6 (.f64 y x))) (.f64 1/36 (pow.f64 (*.f64 y x) 2))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (.f64 y (.f64 x 1/6))) (.f64 1/36 (pow.f64 (*.f64 y x) 2))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (pow.f64 (.f64 y x) 2) 1/36 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 -1/6 (*.f64 y x))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (.f64 1/6 (.f64 y x))) (.f64 1/36 (pow.f64 (*.f64 y x) 2))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (.f64 y (.f64 x 1/6))) (.f64 1/36 (pow.f64 (*.f64 y x) 2))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 1/36) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 x (.f64 -1/6 y)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (pow.f64 (.f64 y x) 2) 1/36 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) (.f64 -1/6 (*.f64 y x))))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (.f64 1/6 (.f64 y x))) (.f64 1/36 (pow.f64 (*.f64 y x) 2))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (.f64 y (.f64 x 1/6))) (.f64 1/36 (pow.f64 (*.f64 y x) 2))))
(pow.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) 1)
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 3)
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) 3) 1/3)
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y)) 2))
(fabs.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y)))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) 3))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/6 (.f64 x y) (/.f64 x y))) 1))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(fma.f64 x (/.f64 1 y) (.f64 x (.f64 -1/6 y)))
(.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x)
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)
(fma.f64 -1/6 (*.f64 x y) (/.f64 x y))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(fma.f64 (*.f64 x y) -1/6 (/.f64 x y))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(fma.f64 1 (.f64 x (.f64 -1/6 y)) (/.f64 x y))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(fma.f64 1 (/.f64 x y) (.f64 x (.f64 -1/6 y)))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x (.f64 -1/6 y))) (sqrt.f64 (.f64 x (.f64 -1/6 y))) (/.f64 x y))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (.f64 x (.f64 -1/6 y)))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 -1/6 y))) 2) (cbrt.f64 (.f64 x (.f64 -1/6 y))) (/.f64 x y))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (.f64 x (.f64 -1/6 y)))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))
(fma.f64 (*.f64 -1/6 y) x (/.f64 x y))
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y))

eval186.0ms (2%)

Compiler: Compiled 12848 to 6086 computations (52.6% saved)

prune114.0ms (1.3%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	628	6	634
Fresh	0	5	5
Picked	0	1	1
Done	1	8	9
Total	629	20	649

Error

Counts

649 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	26.9b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)
✓	1.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
✓	2.6b	(/.f64 (sin.f64 x) (/.f64 x y))
✓	2.1b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
✓	2.7b	(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
▶	28.2b	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
	28.9b	(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 -1/6 (/.f64 (.f64 x x) (+.f64 (/.f64 1 y) (.f64 y -1/6)))))
	29.3b	(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
▶	29.3b	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
	14.8b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) y)
✓	1.7b	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	1.8b	(*.f64 (/.f64 y x) (sin.f64 x))
✓	27.8b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
✓	29.3b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
▶	1.8b	(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
	61.6b	(.f64 y (.f64 -1/6 (*.f64 x x)))
▶	61.5b	(.f64 x (.f64 -1/6 (*.f64 y x)))
▶	28.1b	(.f64 1 (+.f64 y (.f64 1/6 (pow.f64 y 3))))
✓	27.2b	(*.f64 1 (sinh.f64 y))
	28.5b	y

Compiler

Compiled 327 to 233 computations (28.7% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`add-sqr-sqrt`
1864×	`*-un-lft-identity`
1726×	`add-cube-cbrt`
1696×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	197	28
2	2370	28

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-+l+`
1346×	`associate-+r+`
616×	`unswap-sqr`
458×	`associate-*r/`
406×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1172
1	266	1156
2	926	1148
3	4566	1138

Stop Event

1×	node limit

Counts

74 → 68

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 -1/6 (*.f64 y x)))
	0.3b	(.f64 -1/6 (.f64 y x))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`add-sqr-sqrt`
1542×	`*-un-lft-identity`
1434×	`add-cube-cbrt`
1412×	`add-cbrt-cube`
1396×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	163	19
2	1944	19

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1266×	`distribute-rgt-in`
1254×	`distribute-lft-in`
1006×	`log-prod`
940×	`associate-r`
822×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	684
1	98	684
2	371	684
3	2618	684

Stop Event

1×	node limit

Counts

36 → 15

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/6 (.f64 y (*.f64 x x)))
✓	6.0b	(.f64 y (.f64 x x))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`add-sqr-sqrt`
1490×	`*-un-lft-identity`
1388×	`add-cube-cbrt`
1370×	`add-cbrt-cube`
1356×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	32
2	1955	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1302×	`fma-def`
1136×	`distribute-rgt-out`
970×	`log-prod`
532×	`unswap-sqr`
458×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1152
1	173	1152
2	725	1152
3	2269	1152
4	4919	1152

Stop Event

1×	node limit

Counts

72 → 31

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 y) (*.f64 y -1/6))
✓	0.2b	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
✓	0.3b	(*.f64 y -1/6)

Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite155.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`add-sqr-sqrt`
1934×	`*-un-lft-identity`
1820×	`add-cube-cbrt`
1804×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	194	43
2	2481	43

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs

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

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

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

866×	`unswap-sqr`
836×	`associate-/r*`
722×	`associate-*r/`
716×	`fma-def`
644×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	2712
1	490	2562
2	1854	2458

Stop Event

1×	node limit

Counts

116 → 127

Calls

Call 1

Inputs
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/36 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/36 (pow.f64 y 5)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/216 (pow.f64 y 7)))))
(/.f64 -6 y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 y)) (.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(/.f64 -6 y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 y)) (.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 -1/6 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(*.f64 -1/6 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -1/6))) 1)
(pow.f64 (*.f64 y -1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 y -1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 y -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) -1/216) 1/3)
(sqrt.f64 (.f64 (.f64 y y) 1/36))
(log.f64 (pow.f64 (exp.f64 y) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/6))))
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 y -1/6)))
(exp.f64 (log.f64 (*.f64 y -1/6)))
(exp.f64 (.f64 (log.f64 (.f64 y -1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 y -1/6)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))
(*.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 1)
(*.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) (cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 y -2) (.f64 (.f64 y y) 1/36))) (+.f64 (/.f64 1 y) (.f64 1/6 y)))
(.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216))) (+.f64 (pow.f64 y -2) (-.f64 (.f64 (.f64 y y) 1/36) (/.f64 (*.f64 y -1/6) y))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1) (pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1))
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1)
(pow.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 1)
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y)))) 1)
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) (.f64 1/6 y))) (/.f64 (.f64 (.f64 y y) 1/36) (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(*.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1)
(*.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(*.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 y y) 1/36)) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (/.f64 1 (+.f64 (pow.f64 y -2) (-.f64 (.f64 (.f64 y y) 1/36) (/.f64 (*.f64 y -1/6) y)))))
(/.f64 1 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (-.f64 (pow.f64 y -2) (.f64 (*.f64 y y) 1/36))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (-.f64 (.f64 (.f64 y y) 1/36) (/.f64 (.f64 y -1/6) y))) (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216))))
(/.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1)
(/.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) (cbrt.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 y y) 1/36)) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (+.f64 (pow.f64 y -2) (-.f64 (.f64 (.f64 y y) 1/36) (/.f64 (.f64 y -1/6) y))))
(/.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (+.f64 (.f64 (.f64 y y) 1/36) (-.f64 (pow.f64 y -2) (/.f64 (.f64 y -1/6) y))))
(/.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1)
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 y y) 1/36))) (neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216))) (neg.f64 (+.f64 (pow.f64 y -2) (-.f64 (.f64 (.f64 y y) 1/36) (/.f64 (.f64 y -1/6) y)))))
(/.f64 (-.f64 (.f64 (.f64 y y) 1/36) (pow.f64 y -2)) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1)
(pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)
(pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 3)
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 2))
(log.f64 (exp.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y)))))
(cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(exp.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 y -1/6 (/.f64 1 y))
(fma.f64 -1/6 y (/.f64 1 y))
(fma.f64 1 (*.f64 y -1/6) (/.f64 1 y))
(fma.f64 1 (/.f64 1 y) (*.f64 y -1/6))
(fma.f64 (sqrt.f64 (.f64 y -1/6)) (sqrt.f64 (.f64 y -1/6)) (/.f64 1 y))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 y -1/6))
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) 1/36)) (cbrt.f64 (*.f64 y -1/6)) (/.f64 1 y))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y)) (*.f64 y -1/6))

Outputs
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (.f64 1/36 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/36 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/36 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/36 (pow.f64 y 5) y))
(+.f64 (.f64 1/36 (pow.f64 y 5)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/216 (pow.f64 y 7)))))
(fma.f64 1/36 (pow.f64 y 5) (+.f64 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/216 (pow.f64 y 7)))))
(+.f64 (fma.f64 1/36 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)) (*.f64 1/216 (pow.f64 y 7)))
(fma.f64 1/36 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/216 (pow.f64 y 7) y)))
(/.f64 -6 y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 y)) (.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3))))
(+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3)))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3))) (/.f64 216 (pow.f64 y 5))))
(-.f64 (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3))) (/.f64 216 (pow.f64 y 5)))
(+.f64 (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3))) (/.f64 -216 (pow.f64 y 5)))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(neg.f64 (+.f64 (/.f64 216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7))))))
(-.f64 (/.f64 -216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7)))))
(+.f64 (/.f64 -216 (pow.f64 y 5)) (-.f64 (/.f64 -36 (pow.f64 y 3)) (-.f64 (/.f64 6 y) (/.f64 -1296 (pow.f64 y 7)))))
(/.f64 -6 y)
(neg.f64 (+.f64 (.f64 6 (/.f64 1 y)) (.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3))))
(+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3)))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3))) (/.f64 216 (pow.f64 y 5))))
(-.f64 (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3))) (/.f64 216 (pow.f64 y 5)))
(+.f64 (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3))) (/.f64 -216 (pow.f64 y 5)))
(neg.f64 (+.f64 (.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (.f64 6 (/.f64 1 y)) (+.f64 (.f64 36 (/.f64 1 (pow.f64 y 3))) (.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(neg.f64 (+.f64 (/.f64 216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7))))))
(-.f64 (/.f64 -216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7)))))
(+.f64 (/.f64 -216 (pow.f64 y 5)) (-.f64 (/.f64 -36 (pow.f64 y 3)) (-.f64 (/.f64 6 y) (/.f64 -1296 (pow.f64 y 7)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(fma.f64 -1/6 y (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(fma.f64 -1/6 y (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(fma.f64 -1/6 y (/.f64 1 y))
(*.f64 -1/6 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(fma.f64 -1/6 y (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(fma.f64 -1/6 y (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(fma.f64 -1/6 y (/.f64 1 y))
(*.f64 -1/6 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(fma.f64 -1/6 y (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(fma.f64 -1/6 y (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(fma.f64 -1/6 y (/.f64 1 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -1/6))) 1)
(*.f64 -1/6 y)
(pow.f64 (*.f64 y -1/6) 1)
(*.f64 -1/6 y)
(pow.f64 (sqrt.f64 (*.f64 y -1/6)) 2)
(*.f64 -1/6 y)
(pow.f64 (cbrt.f64 (*.f64 y -1/6)) 3)
(*.f64 -1/6 y)
(pow.f64 (*.f64 (pow.f64 y 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/216))
(sqrt.f64 (.f64 (.f64 y y) 1/36))
(sqrt.f64 (.f64 y (.f64 y 1/36)))
(log.f64 (pow.f64 (exp.f64 y) -1/6))
(*.f64 -1/6 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/6))))
(*.f64 -1/6 y)
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 y -1/6)))
(*.f64 -1/6 y)
(exp.f64 (log.f64 (*.f64 y -1/6)))
(*.f64 -1/6 y)
(exp.f64 (.f64 (log.f64 (.f64 y -1/6)) 1))
(*.f64 -1/6 y)
(log1p.f64 (expm1.f64 (*.f64 y -1/6)))
(*.f64 -1/6 y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) 1)
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(*.f64 1 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(*.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 1)
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(*.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) (cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(.f64 (/.f64 1 (-.f64 (pow.f64 y -2) (.f64 (.f64 y y) 1/36))) (+.f64 (/.f64 1 y) (.f64 1/6 y)))
(.f64 (/.f64 1 (-.f64 (pow.f64 y -2) (.f64 y (.f64 y 1/36)))) (+.f64 (/.f64 1 y) (.f64 y 1/6)))
(/.f64 (fma.f64 y 1/6 (/.f64 1 y)) (+.f64 (pow.f64 y -2) (.f64 (.f64 y y) -1/36)))
(/.f64 (fma.f64 y 1/6 (/.f64 1 y)) (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216))) (+.f64 (pow.f64 y -2) (-.f64 (.f64 (.f64 y y) 1/36) (/.f64 (*.f64 y -1/6) y))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3))) (+.f64 (pow.f64 y -2) (-.f64 (.f64 y (.f64 y 1/36)) (/.f64 y (/.f64 y -1/6)))))
(/.f64 (-.f64 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2)) (/.f64 y (/.f64 y -1/6))) (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)))
(/.f64 (+.f64 1/6 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2))) (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1) (pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1)
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(pow.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 1)
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) 2)
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) 3)
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 3) 1/3)
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -2))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 3))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))) 1))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y)))) 1)
(fma.f64 -1/6 y (/.f64 1 y))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) (.f64 1/6 y))) (/.f64 (.f64 (.f64 y y) 1/36) (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 y (.f64 y 1/36))) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 (+.f64 (pow.f64 y -2) (.f64 (.f64 y y) -1/36)) (fma.f64 y 1/6 (/.f64 1 y)))
(/.f64 (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)) (fma.f64 y 1/6 (/.f64 1 y)))
(*.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))
(fma.f64 -1/6 y (/.f64 1 y))
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1)
(fma.f64 -1/6 y (/.f64 1 y))
(*.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 -1/6 y (/.f64 1 y))
(*.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2))
(fma.f64 -1/6 y (/.f64 1 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 -1/6 y (/.f64 1 y))
(.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 y y) 1/36)) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 y (.f64 y 1/36))) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 (+.f64 (pow.f64 y -2) (.f64 (.f64 y y) -1/36)) (fma.f64 y 1/6 (/.f64 1 y)))
(/.f64 (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)) (fma.f64 y 1/6 (/.f64 1 y)))
(.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (/.f64 1 (+.f64 (pow.f64 y -2) (-.f64 (.f64 (.f64 y y) 1/36) (/.f64 (*.f64 y -1/6) y)))))
(.f64 (+.f64 (.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)) (/.f64 1 (+.f64 (pow.f64 y -2) (-.f64 (.f64 y (.f64 y 1/36)) (/.f64 y (/.f64 y -1/6))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (-.f64 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2)) (/.f64 y (/.f64 y -1/6))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (+.f64 1/6 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2))))
(/.f64 1 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 -1/6 y (/.f64 1 y))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (-.f64 (pow.f64 y -2) (.f64 (*.f64 y y) 1/36))))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 y (.f64 y 1/36))) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 (+.f64 (pow.f64 y -2) (.f64 (.f64 y y) -1/36)) (fma.f64 y 1/6 (/.f64 1 y)))
(/.f64 (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)) (fma.f64 y 1/6 (/.f64 1 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (-.f64 (.f64 (.f64 y y) 1/36) (/.f64 (.f64 y -1/6) y))) (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216))))
(.f64 (+.f64 (.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)) (/.f64 1 (+.f64 (pow.f64 y -2) (-.f64 (.f64 y (.f64 y 1/36)) (/.f64 y (/.f64 y -1/6))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (-.f64 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2)) (/.f64 y (/.f64 y -1/6))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (+.f64 1/6 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2))))
(/.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1)
(fma.f64 -1/6 y (/.f64 1 y))
(/.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2))
(/.f64 (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) (cbrt.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2) (cbrt.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 y y) 1/36)) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 y (.f64 y 1/36))) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 (+.f64 (pow.f64 y -2) (.f64 (.f64 y y) -1/36)) (fma.f64 y 1/6 (/.f64 1 y)))
(/.f64 (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)) (fma.f64 y 1/6 (/.f64 1 y)))
(/.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (+.f64 (pow.f64 y -2) (-.f64 (.f64 (.f64 y y) 1/36) (/.f64 (.f64 y -1/6) y))))
(.f64 (+.f64 (.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)) (/.f64 1 (+.f64 (pow.f64 y -2) (-.f64 (.f64 y (.f64 y 1/36)) (/.f64 y (/.f64 y -1/6))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (-.f64 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2)) (/.f64 y (/.f64 y -1/6))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (+.f64 1/6 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2))))
(/.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (+.f64 (.f64 (.f64 y y) 1/36) (-.f64 (pow.f64 y -2) (/.f64 (.f64 y -1/6) y))))
(.f64 (+.f64 (.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)) (/.f64 1 (+.f64 (pow.f64 y -2) (-.f64 (.f64 y (.f64 y 1/36)) (/.f64 y (/.f64 y -1/6))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (-.f64 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2)) (/.f64 y (/.f64 y -1/6))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (+.f64 1/6 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2))))
(/.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1)
(fma.f64 -1/6 y (/.f64 1 y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (.f64 (.f64 y y) 1/36))) (neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y))))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 y (.f64 y 1/36))) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 (+.f64 (pow.f64 y -2) (.f64 (.f64 y y) -1/36)) (fma.f64 y 1/6 (/.f64 1 y)))
(/.f64 (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)) (fma.f64 y 1/6 (/.f64 1 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216))) (neg.f64 (+.f64 (pow.f64 y -2) (-.f64 (.f64 (.f64 y y) 1/36) (/.f64 (.f64 y -1/6) y)))))
(.f64 (+.f64 (.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)) (/.f64 1 (+.f64 (pow.f64 y -2) (-.f64 (.f64 y (.f64 y 1/36)) (/.f64 y (/.f64 y -1/6))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (-.f64 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2)) (/.f64 y (/.f64 y -1/6))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (+.f64 1/6 (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2))))
(/.f64 (-.f64 (.f64 (.f64 y y) 1/36) (pow.f64 y -2)) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 y (.f64 y 1/36))) (+.f64 (/.f64 1 y) (*.f64 y 1/6)))
(/.f64 (+.f64 (pow.f64 y -2) (.f64 (.f64 y y) -1/36)) (fma.f64 y 1/6 (/.f64 1 y)))
(/.f64 (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)) (fma.f64 y 1/6 (/.f64 1 y)))
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1)
(fma.f64 -1/6 y (/.f64 1 y))
(pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)
(fma.f64 -1/6 y (/.f64 1 y))
(pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 3)
(fma.f64 -1/6 y (/.f64 1 y))
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3) 1/3)
(fma.f64 -1/6 y (/.f64 1 y))
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 2))
(fma.f64 -1/6 y (/.f64 1 y))
(log.f64 (exp.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 -1/6 y (/.f64 1 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y)))))
(fma.f64 -1/6 y (/.f64 1 y))
(cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3))
(fma.f64 -1/6 y (/.f64 1 y))
(expm1.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 -1/6 y (/.f64 1 y))
(exp.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 -1/6 y (/.f64 1 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) 1))
(fma.f64 -1/6 y (/.f64 1 y))
(log1p.f64 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 -1/6 y (/.f64 1 y))
(fma.f64 y -1/6 (/.f64 1 y))
(fma.f64 -1/6 y (/.f64 1 y))
(fma.f64 -1/6 y (/.f64 1 y))
(fma.f64 1 (*.f64 y -1/6) (/.f64 1 y))
(fma.f64 -1/6 y (/.f64 1 y))
(fma.f64 1 (/.f64 1 y) (*.f64 y -1/6))
(fma.f64 -1/6 y (/.f64 1 y))
(fma.f64 (sqrt.f64 (.f64 y -1/6)) (sqrt.f64 (.f64 y -1/6)) (/.f64 1 y))
(fma.f64 -1/6 y (/.f64 1 y))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 y -1/6))
(fma.f64 -1/6 y (/.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) 1/36)) (cbrt.f64 (*.f64 y -1/6)) (/.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 y (.f64 y 1/36))) (cbrt.f64 (*.f64 -1/6 y)) (/.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 -1/6 y)) (cbrt.f64 (.f64 y (*.f64 y 1/36))) (/.f64 1 y))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y)) (*.f64 y -1/6))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y)) (*.f64 -1/6 y))
(fma.f64 -1/6 y (*.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y))))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
✓	0.1b	(*.f64 1/6 (pow.f64 y 3))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series7.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(*.f64 1/6 (pow.f64 y 3))
0.0ms	y	@	inf	(*.f64 1/6 (pow.f64 y 3))
0.0ms	y	@	-inf	(*.f64 1/6 (pow.f64 y 3))
0.0ms	y	@	inf	(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
0.0ms	y	@	-inf	(+.f64 y (*.f64 1/6 (pow.f64 y 3)))

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`add-sqr-sqrt`
1694×	`*-un-lft-identity`
1608×	`add-cube-cbrt`
1596×	`add-cbrt-cube`
164×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	178	28
2	2162	28

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 3))
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))

Outputs

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

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

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1176×	`distribute-lft-neg-in`
648×	`associate--r+`
608×	`+-commutative`
558×	`unswap-sqr`
484×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1319
1	284	1191
2	1117	1171
3	4741	1171

Stop Event

1×	node limit

Counts

53 → 59

Calls

Call 1

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

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

eval114.0ms (1.3%)

Compiler: Compiled 4175 to 2916 computations (30.2% saved)

prune56.0ms (0.6%)

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	311	6	317
Fresh	1	5	6
Picked	1	0	1
Done	1	12	13
Total	314	23	337

Error

Counts

337 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	26.9b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)
✓	1.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
✓	2.6b	(/.f64 (sin.f64 x) (/.f64 x y))
✓	2.1b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
✓	2.7b	(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
	28.6b	(/.f64 1 (/.f64 1 y))
✓	28.2b	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
	62.8b	(/.f64 -6 y)
	59.0b	(-.f64 (+.f64 1 (.f64 x (.f64 x (*.f64 -1/6 y)))) 1)
	28.9b	(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 -1/6 (/.f64 (.f64 x x) (+.f64 (/.f64 1 y) (.f64 y -1/6)))))
	29.3b	(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
	28.1b	(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
✓	29.3b	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
	14.8b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) y)
✓	1.7b	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	1.8b	(*.f64 (/.f64 y x) (sin.f64 x))
✓	27.8b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
✓	29.3b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
✓	1.8b	(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
	61.6b	(.f64 y (.f64 (*.f64 x x) -1/6))
✓	27.2b	(*.f64 1 (sinh.f64 y))
	61.6b	(.f64 -1/6 (.f64 y (*.f64 x x)))
	28.5b	y

Compiler

Compiled 231 to 165 computations (28.6% saved)

regimes64.0ms (0.7%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	x
15.0ms	(sinh.f64 y)
14.0ms	y
11.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

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

Compiler

Compiled 269 to 139 computations (48.3% saved)

regimes67.0ms (0.7%)

Counts

23 → 3

Calls

Call 1

Inputs
y
(/.f64 -6 y)
(/.f64 1 (/.f64 1 y))
(.f64 -1/6 (.f64 y (*.f64 x x)))
(.f64 x (.f64 -1/6 (*.f64 y x)))
(.f64 y (.f64 -1/6 (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) -1/6))
(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(-.f64 (+.f64 1 (.f64 x (.f64 x (*.f64 -1/6 y)))) 1)
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 -1/6 (/.f64 (.f64 x x) (+.f64 (/.f64 1 y) (.f64 y -1/6)))))
(*.f64 1 (sinh.f64 y))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) (/.f64 x y))
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
(.f64 1 (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))

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

Calls

3 calls:

39.0ms	x
12.0ms	(sinh.f64 y)
11.0ms	y

Results

Error	Segments	Branch
0.2b	3	`x`
1.7b	1	`y`
1.7b	1	`(sinh.f64 y)`

Compiler

Compiled 195 to 111 computations (43.1% saved)

bsearch14.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
4.0ms	4.893016511492204e-89	8.645613246756342e-87
9.0ms	-0.014863776257426443	-0.00016946676747212498

Results

12.0ms

80×

body

256

valid

Compiler

Compiled 124 to 90 computations (27.4% saved)

regimes53.0ms (0.6%)

Counts

21 → 3

Calls

Call 1

Inputs
y
(/.f64 -6 y)
(/.f64 1 (/.f64 1 y))
(.f64 -1/6 (.f64 y (*.f64 x x)))
(.f64 x (.f64 -1/6 (*.f64 y x)))
(.f64 y (.f64 -1/6 (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) -1/6))
(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(-.f64 (+.f64 1 (.f64 x (.f64 x (*.f64 -1/6 y)))) 1)
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 -1/6 (/.f64 (.f64 x x) (+.f64 (/.f64 1 y) (.f64 y -1/6)))))
(*.f64 1 (sinh.f64 y))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) (/.f64 x y))
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x))
(.f64 1 (+.f64 y (.f64 1/6 (pow.f64 y 3))))

Outputs
(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
(*.f64 1 (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) x) y)

Calls

3 calls:

27.0ms	x
11.0ms	(sinh.f64 y)
10.0ms	y

Results

Error	Segments	Branch
0.4b	3	`x`
1.7b	1	`y`
1.7b	1	`(sinh.f64 y)`

Compiler

Compiled 173 to 102 computations (41% saved)

bsearch15.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	4.893016511492204e-89	8.645613246756342e-87
12.0ms	-0.00016946676747212498	-8.26578759226574e-5

Results

13.0ms

96×

body

256

valid

Compiler

Compiled 120 to 92 computations (23.3% saved)

regimes49.0ms (0.5%)

Counts

18 → 3

Calls

Call 1

Inputs
y
(/.f64 -6 y)
(/.f64 1 (/.f64 1 y))
(.f64 -1/6 (.f64 y (*.f64 x x)))
(.f64 x (.f64 -1/6 (*.f64 y x)))
(.f64 y (.f64 -1/6 (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) -1/6))
(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(-.f64 (+.f64 1 (.f64 x (.f64 x (*.f64 -1/6 y)))) 1)
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (.f64 -1/6 (/.f64 (.f64 x x) (+.f64 (/.f64 1 y) (.f64 y -1/6)))))
(*.f64 1 (sinh.f64 y))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) (/.f64 x y))
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))

Outputs
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 1 (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) x) y)

Calls

3 calls:

26.0ms	x
10.0ms	(sinh.f64 y)
9.0ms	y

Results

Error	Segments	Branch
0.4b	3	`x`
1.7b	1	`y`
1.7b	1	`(sinh.f64 y)`

Compiler

Compiled 148 to 87 computations (41.2% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	4.893016511492204e-89	8.645613246756342e-87
36.0ms	-0.00016946676747212498	-8.26578759226574e-5

Results

37.0ms

96×

body

256

valid

Compiler

Compiled 110 to 82 computations (25.5% saved)

regimes79.0ms (0.9%)

Counts

15 → 3

Calls

Call 1

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

Outputs
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 1 (sinh.f64 y))
(*.f64 (/.f64 y x) (sin.f64 x))

Calls

3 calls:

57.0ms	x
10.0ms	(sinh.f64 y)
9.0ms	y

Results

Error	Segments	Branch
0.4b	3	`x`
1.8b	1	`y`
1.8b	1	`(sinh.f64 y)`

Compiler

Compiled 129 to 78 computations (39.5% saved)

bsearch18.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	1.3462782461257575e-27	1.1223490521977674e-21
11.0ms	-0.00016946676747212498	-8.26578759226574e-5

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 142 to 106 computations (25.4% saved)

regimes36.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
9.0ms	(sinh.f64 y)
7.0ms	y

Results

Error	Segments	Branch
26.0b	2	`x`
27.2b	1	`y`
27.2b	1	`(sinh.f64 y)`

Compiler

Compiled 123 to 75 computations (39% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	4262525241.3953943	42108319906470860.0

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 203 to 163 computations (19.7% saved)

regimes25.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
8.0ms	y

Results

Error	Segments	Branch
27.1b	2	`x`
28.2b	1	`y`

Compiler

Compiled 115 to 69 computations (40% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	4262525241.3953943	42108319906470860.0

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 248 to 199 computations (19.8% saved)

regimes16.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	y

Results

Error	Segments	Branch
28.2b	1	`x`
28.2b	1	`y`

Compiler

Compiled 81 to 45 computations (44.4% saved)

regimes45.0ms (0.5%)

Accuracy

Total -34.6b remaining (-121.3%)

Threshold costs -34.6b (-121.3%)

Counts

10 → 1

Calls

Call 1

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

Outputs
y

Calls

2 calls:

37.0ms	y
6.0ms	x

Results

Error	Segments	Branch
28.5b	1	`x`
28.5b	1	`y`

Compiler

Compiled 72 to 38 computations (47.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
8×	`+-commutative`
6×	`if-if-or-not`
2×	`sub-neg`
2×	`*-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	385
1	87	385
2	88	385

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(if (<=.f64 x -7378697629483821/36893488147419103232) (.f64 (/.f64 (sin.f64 x) x) y) (if (<=.f64 x 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (+.f64 1 (.f64 -1/6 (.f64 x x))) (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) y)))
(if (<=.f64 x -6198106008766409/73786976294838206464) (.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y) (if (<=.f64 x 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 1 (sinh.f64 y)) (.f64 (/.f64 (sin.f64 x) x) y)))
(if (<=.f64 x -6198106008766409/73786976294838206464) (.f64 (/.f64 (sin.f64 x) x) y) (if (<=.f64 x 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 1 (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) y)))
(if (<=.f64 x -6198106008766409/73786976294838206464) (.f64 (/.f64 y x) (sin.f64 x)) (if (<=.f64 x 4253529586511731/85070591730234615865843651857942052864) (.f64 1 (sinh.f64 y)) (*.f64 (/.f64 y x) (sin.f64 x))))
(if (<=.f64 x 1650000000000) (.f64 1 (sinh.f64 y)) (-.f64 (+.f64 1 (.f64 x (.f64 x (.f64 -1/6 y)))) 1))
(if (<=.f64 x 1650000000000) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (-.f64 (+.f64 1 (.f64 x (.f64 x (.f64 -1/6 y)))) 1))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
y

Outputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(if (<=.f64 x -7378697629483821/36893488147419103232) (.f64 (/.f64 (sin.f64 x) x) y) (if (<=.f64 x 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (+.f64 1 (.f64 -1/6 (.f64 x x))) (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) y)))
(if (or (<=.f64 x -7378697629483821/36893488147419103232) (not (<=.f64 x 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664))) (.f64 (/.f64 (sin.f64 x) x) y) (.f64 (sinh.f64 y) (+.f64 1 (.f64 -1/6 (.f64 x x)))))
(if (<=.f64 x -6198106008766409/73786976294838206464) (.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y) (if (<=.f64 x 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 1 (sinh.f64 y)) (.f64 (/.f64 (sin.f64 x) x) y)))
(if (<=.f64 x -6198106008766409/73786976294838206464) (.f64 y (.f64 (sin.f64 x) (/.f64 1 x))) (if (<=.f64 x 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (sinh.f64 y) (*.f64 (/.f64 (sin.f64 x) x) y)))
(if (<=.f64 x -6198106008766409/73786976294838206464) (.f64 (/.f64 (sin.f64 x) x) y) (if (<=.f64 x 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 1 (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) y)))
(if (or (<=.f64 x -6198106008766409/73786976294838206464) (not (<=.f64 x 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664))) (*.f64 (/.f64 (sin.f64 x) x) y) (sinh.f64 y))
(if (<=.f64 x -6198106008766409/73786976294838206464) (.f64 (/.f64 y x) (sin.f64 x)) (if (<=.f64 x 4253529586511731/85070591730234615865843651857942052864) (.f64 1 (sinh.f64 y)) (*.f64 (/.f64 y x) (sin.f64 x))))
(if (or (<=.f64 x -6198106008766409/73786976294838206464) (not (<=.f64 x 4253529586511731/85070591730234615865843651857942052864))) (*.f64 (sin.f64 x) (/.f64 y x)) (sinh.f64 y))
(if (<=.f64 x 1650000000000) (.f64 1 (sinh.f64 y)) (-.f64 (+.f64 1 (.f64 x (.f64 x (.f64 -1/6 y)))) 1))
(if (<=.f64 x 1650000000000) (sinh.f64 y) (+.f64 (+.f64 1 (.f64 x (.f64 x (*.f64 y -1/6)))) -1))
(if (<=.f64 x 1650000000000) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (-.f64 (+.f64 1 (.f64 x (.f64 x (.f64 -1/6 y)))) 1))
(if (<=.f64 x 1650000000000) (/.f64 1 (+.f64 (/.f64 1 y) (.f64 y -1/6))) (+.f64 (+.f64 1 (.f64 x (.f64 x (.f64 y -1/6)))) -1))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
y

Compiler

Compiled 159 to 112 computations (29.6% saved)

soundness134.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-r`
1204×	`fma-neg`
980×	`associate-/l*`
772×	`associate-l`
768×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	39	21
3	79	21
4	175	21
5	423	21
6	1383	21
7	5708	21

Stop Event

1×	node limit

Compiler

Compiled 16 to 8 computations (50% saved)

end68.0ms (0.7%)

Compiler: Compiled 143 to 82 computations (42.7% saved)