Details

analyze152.0ms (1.5%)

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)

sample2.9s (28.6%)

Results

944.0ms	6926×	body	256	valid
862.0ms	1996×	body	1024	infinite
340.0ms	995×	body	512	infinite
319.0ms	1567×	body	256	infinite
255.0ms	621×	body	1024	valid
163.0ms	709×	body	512	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess71.0ms (0.7%)

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)

simplify66.0ms (0.7%)

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))

eval2.0ms (0%)

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

prune8.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	2	5	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	6	8

Error

0.0b

Counts

8 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
▶	0.1b	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
▶	1.2b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
▶	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))

Compiler

Compiled 90 to 60 computations (33.3% saved)

localize17.0ms (0.2%)

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)

series15.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
3.0ms	y	@	inf	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
2.0ms	y	@	0	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
1.0ms	x	@	inf	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
1.0ms	x	@	0	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))

rewrite138.0ms (1.4%)

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)))))))

simplify134.0ms (1.3%)

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)

localize15.0ms (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)
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite88.0ms (0.9%)

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)))))))

simplify91.0ms (0.9%)

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)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (sinh.f64 y))
	0.0b	(sinh.f64 y)
✓	1.1b	(/.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))
0.0ms	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))

rewrite71.0ms (0.7%)

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))))))))

simplify85.0ms (0.8%)

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))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`associate-*r/`
1556×	`associate-/l*`
1116×	`associate-*l/`
1024×	`*-commutative`
498×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	193	32
2	2708	32

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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((#(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 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) 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 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 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simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

884×	`distribute-rgt-in`
878×	`distribute-lft-in`
700×	`distribute-lft-neg-out`
690×	`distribute-rgt-neg-out`
454×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	4153
1	855	4071
2	3843	3995

Stop Event

1×	node limit

Counts

151 → 184

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (.f64 7/360 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 7/360 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
(/.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))
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(.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))
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(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
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(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
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(exp.f64 (log.f64 (/.f64 x (sin.f64 x))))
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(-.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 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) 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 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.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 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 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 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(.f64 (neg.f64 (sinh.f64 y)) (.f64 -1 (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 x)))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) x)) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y)))
(.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (sinh.f64 y)) 1))
(.f64 (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 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 (sin.f64 x)) (sqrt.f64 x)) (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(.f64 (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(.f64 (.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(.f64 (/.f64 1 (neg.f64 x)) (.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (neg.f64 (sinh.f64 y)))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) x))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) -1) (neg.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (sin.f64 x))
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(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) -1) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (neg.f64 x))) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x)))
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(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.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)
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1)
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.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))
(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))))

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	15.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`associate-/r*`
1174×	`associate-/l*`
1048×	`associate-*r/`
956×	`*-commutative`
740×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	187	36
2	2519	36

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1380×	`associate-/r*`
1220×	`associate-/r/`
908×	`distribute-rgt-in`
908×	`distribute-lft-in`
430×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	4960
1	799	4820
2	3102	4652

Stop Event

1×	node limit

Counts

150 → 189

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

eval499.0ms (4.9%)

Compiler: Compiled 23680 to 8336 computations (64.8% saved)

prune451.0ms (4.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1465	10	1475
Fresh	0	0	0
Picked	0	1	1
Done	3	1	4
Total	1468	12	1480

Error

Counts

1480 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	16.7b	(/.f64 (*.f64 (sin.f64 x) y) x)
▶	27.1b	(/.f64 (sinh.f64 y) 1)
▶	2.6b	(/.f64 (sin.f64 x) (/.f64 x y))
	2.5b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
	1.6b	(/.f64 y (/.f64 x (sin.f64 x)))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	1.6b	(*.f64 (/.f64 (sin.f64 x) x) y)
	1.6b	(*.f64 (/.f64 y x) (sin.f64 x))
	15.3b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
▶	28.0b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
▶	0.2b	(.f64 (.f64 (/.f64 -1 x) (neg.f64 (sinh.f64 y))) (sin.f64 x))

Compiler

Compiled 208 to 142 computations (31.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 15 computations (53.1% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`associate-*r/`
1104×	`*-commutative`
930×	`associate-*l/`
642×	`swap-sqr`
436×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	251	32
2	3202	32

Stop Event

1×	node limit

Counts

2 → 203

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) 0) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 x) 0) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 x)) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 -1 x)) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sinh.f64 y) 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 -1 (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) 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 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (neg.f64 x) 2) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (neg.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 x (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (neg.f64 x) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (neg.f64 x) 2) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 (*.f64 (neg.f64 x) 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 (*.f64 (neg.f64 x) 2) (cbrt.f64 (*.f64 (sinh.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 2) x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (neg.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sinh.f64 y) 2) 0) (*.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sinh.f64 y) 2) 0) (*.f64 (neg.f64 x) (sinh.f64 y)))))) (#(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 (*.f64 (neg.f64 x) 2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (sinh.f64 y) 3)) (*.f64 x (+.f64 (pow.f64 (sinh.f64 y) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (sinh.f64 y) 3)) (*.f64 (neg.f64 x) (+.f64 (pow.f64 (sinh.f64 y) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 (*.f64 (neg.f64 x) 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 (/.f64 1 x) (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (*.f64 (sinh.f64 y) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (+.f64 (pow.f64 (sinh.f64 y) 2) 0)) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (+.f64 0 (pow.f64 (sinh.f64 y) 3))) (+.f64 (pow.f64 (sinh.f64 y) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (*.f64 (sinh.f64 y) 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (+.f64 (pow.f64 (sinh.f64 y) 2) 0)) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (+.f64 0 (pow.f64 (sinh.f64 y) 3))) (+.f64 (pow.f64 (sinh.f64 y) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 -1 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 (sinh.f64 y) 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (neg.f64 x))) 1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sinh.f64 y) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) -1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sinh.f64 y) (pow.f64 (/.f64 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simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1466×	`distribute-lft-in`
1424×	`distribute-rgt-in`
1142×	`associate-/l*`
676×	`associate-/l/`
516×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	7397
1	1429	7119
2	5836	7119

Stop Event

1×	node limit

Counts

251 → 333

Calls

Call 1

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

Outputs
(*.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 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 (*.f64 1/120 (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 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 (*.f64 1/120 (pow.f64 y 5)) 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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (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 (.f64 1/240 (-.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 (*.f64 1/240 (-.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) (-.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) (-.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) (-.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) (-.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) (-.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) (-.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) (-.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 (*.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)))))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
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(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (.f64 (sinh.f64 y) 2)) -2)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (+.f64 (pow.f64 (sinh.f64 y) 2) 0)) (sinh.f64 y))
(/.f64 (pow.f64 (sinh.f64 y) 2) (/.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x))))
(/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (+.f64 0 (pow.f64 (sinh.f64 y) 3))) (+.f64 (pow.f64 (sinh.f64 y) 2) 0))
(/.f64 (pow.f64 (sinh.f64 y) 3) (/.f64 (pow.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sinh.f64 y) 2)) (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y))))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 x))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (sinh.f64 y))) (sin.f64 x)))
(/.f64 (.f64 (/.f64 -1 (sqrt.f64 x)) (.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (.f64 (.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) (neg.f64 x))) 2)
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (.f64 (.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) (neg.f64 x))) -2)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 y) 2) 0) (/.f64 (sin.f64 x) (neg.f64 x))) (sinh.f64 y))
(/.f64 (pow.f64 (sinh.f64 y) 2) (/.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x))))
(/.f64 (pow.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (+.f64 0 (pow.f64 (sinh.f64 y) 3)) (/.f64 (sin.f64 x) (neg.f64 x))) (+.f64 (pow.f64 (sinh.f64 y) 2) 0))
(/.f64 (pow.f64 (sinh.f64 y) 3) (/.f64 (pow.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sinh.f64 y) 2)) (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (*.f64 -1 (sin.f64 x)) (/.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (.f64 (.f64 (sinh.f64 y) 2) (sin.f64 x)) (+.f64 x x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (.f64 (.f64 (sinh.f64 y) 2) (sin.f64 x)) (*.f64 (neg.f64 x) 2))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (.f64 (/.f64 (.f64 (sinh.f64 y) 2) x) (sin.f64 x)) 2)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (sin.f64 x)) (cbrt.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (.f64 1 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (.f64 (sqrt.f64 -1) (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) (sqrt.f64 (neg.f64 x)))) (sqrt.f64 x))
(/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 x) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 (neg.f64 x)) (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 (neg.f64 x)) (sinh.f64 y))))
(/.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) x)))) (sqrt.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y))))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) x))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 x)) (.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1) x)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) -1) x)
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 1)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 3) 1/3)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(fabs.f64 (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 3))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) x) 3)))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

localize5.0ms (0.1%)

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.5%)

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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.1b	(/.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))

rewrite81.0ms (0.8%)

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))))))))

simplify62.0ms (0.6%)

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))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(+.f64 1 (.f64 -1/6 (.f64 x x)))
✓	0.2b	(.f64 -1/6 (.f64 x x))
✓	7.1b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	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	x	@	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))

rewrite87.0ms (0.9%)

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	61
1	245	53
2	3027	53

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

Inputs
(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
(.f64 -1/6 (.f64 x x))
(+.f64 1 (.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 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simplify353.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1226×	`associate-+l+`
758×	`associate-r`
726×	`associate-+r+`
712×	`associate-l`
552×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	442	9714
1	1216	8480
2	5564	8240

Stop Event

1×	node limit

Counts

210 → 270

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))))
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(/.f64 (sqrt.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))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (/.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (cbrt.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))) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 (*.f64 x x) 3) -1/216)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)))) (/.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)))))
(/.f64 (-.f64 1 (.f64 1/46656 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4))))) (.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 x x) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/36) 1) (-.f64 (.f64 -1/6 (*.f64 x x)) 1))
(/.f64 (-.f64 1 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/1296)) (.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)) (+.f64 1 (.f64 (pow.f64 x 4) 1/36))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 3)) (.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))) (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) (-.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 1)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 (pow.f64 x 4) 1/36) 3)) (.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)) (+.f64 1 (.f64 (.f64 (pow.f64 x 4) 1/36) (+.f64 1 (*.f64 (pow.f64 x 4) 1/36))))))
(/.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 x 4) -1/36))) (+.f64 -1 (neg.f64 (.f64 (*.f64 x x) 1/6))))
(/.f64 (+.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 1 (-.f64 (.f64 (pow.f64 x 4) 1/36) 1)) (-.f64 (.f64 -1/6 (.f64 x x)) 1))
(/.f64 (.f64 (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 (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 (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 (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) 1) (-.f64 (.f64 -1/6 (.f64 x x)) 1))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 x 4) -1/36))) 1) (+.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))) 1) (+.f64 -1 (neg.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (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))) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/6))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/6))))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/1296)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/6)))) (+.f64 1 (.f64 (pow.f64 x 4) 1/36)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (pow.f64 x 4) 1/36) 3)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/6)))) (+.f64 1 (.f64 (.f64 (pow.f64 x 4) 1/36) (+.f64 1 (*.f64 (pow.f64 x 4) 1/36)))))
(/.f64 (.f64 (-.f64 1 (.f64 1/46656 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4))))) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 x x) 3))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 3)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))) (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) (-.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 1))))
(/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) 1) (+.f64 1 (.f64 (*.f64 x x) 1/6)))
(/.f64 (/.f64 (+.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 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 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 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 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 (fma.f64 -1/6 (*.f64 x x) 1) 1)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3) 1/3)
(neg.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (+.f64 -1 (neg.f64 (.f64 (*.f64 x x) 1/6)))))
(neg.f64 (/.f64 (+.f64 1 (.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))))))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 x x) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1)))
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 x x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 x x) 1)))
(fma.f64 1 (.f64 -1/6 (.f64 x x)) 1)
(fma.f64 -1/6 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/6 1)
(fma.f64 (.f64 x (sqrt.f64 -1/6)) (.f64 x (sqrt.f64 -1/6)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 -1/6 (*.f64 x x))) 1)
(fma.f64 (*.f64 -1/6 x) x 1)

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 -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 -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 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(.f64 (.f64 -1/12 (-.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 (.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 -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 -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 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(.f64 (.f64 -1/12 (-.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 (.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 -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 -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 (.f64 -1/6 (pow.f64 x 2))) y)
(.f64 y (fma.f64 -1/6 (.f64 x x) 1))
(+.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))
(fma.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1)) (.f64 y (fma.f64 -1/6 (.f64 x x) 1)))
(fma.f64 y (fma.f64 -1/6 (.f64 x x) 1) (.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1))))
(.f64 (fma.f64 -1/6 (.f64 x x) 1) (+.f64 y (*.f64 (pow.f64 y 3) 1/6)))
(+.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)))
(fma.f64 1/120 (.f64 (pow.f64 y 5) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1)) (.f64 y (fma.f64 -1/6 (.f64 x x) 1))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 y (fma.f64 -1/6 (.f64 x x) 1) (.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1)))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) (fma.f64 -1/6 (.f64 x x) 1)) (.f64 (fma.f64 -1/6 (.f64 x x) 1) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(+.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))))
(fma.f64 1/5040 (.f64 (pow.f64 y 7) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 1/120 (.f64 (pow.f64 y 5) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1)) (.f64 y (fma.f64 -1/6 (.f64 x x) 1)))))
(fma.f64 1/5040 (.f64 (pow.f64 y 7) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 1/120 (.f64 (pow.f64 y 5) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 y (fma.f64 -1/6 (.f64 x x) 1) (.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1))))))
(+.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (+.f64 y (.f64 (pow.f64 y 3) 1/6))) (.f64 (fma.f64 -1/6 (.f64 x x) 1) (+.f64 (.f64 (pow.f64 y 5) 1/120) (*.f64 (pow.f64 y 7) 1/5040))))
(.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6) 1))) (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/216 1)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/6))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 1)) 2) (/.f64 (cbrt.f64 (+.f64 1 (.f64 x (.f64 x 1/6)))) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) 1))) (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/36 1)))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/1296)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/6)))) (+.f64 1 (.f64 (pow.f64 x 4) 1/36)))
(/.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 x 8) 1/1296)) (+.f64 1 (.f64 x (.f64 x 1/6)))) (+.f64 1 (.f64 (pow.f64 x 4) 1/36)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 8) -1/1296)) (.f64 (fma.f64 x (*.f64 x 1/6) 1) (fma.f64 (pow.f64 x 4) 1/36 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (pow.f64 x 4) 1/36) 3)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/6)))) (+.f64 1 (.f64 (.f64 (pow.f64 x 4) 1/36) (+.f64 1 (*.f64 (pow.f64 x 4) 1/36)))))
(/.f64 (/.f64 (+.f64 1 (.f64 -1/46656 (pow.f64 (pow.f64 x 4) 3))) (+.f64 1 (.f64 x (.f64 x 1/6)))) (+.f64 1 (.f64 (pow.f64 x 4) (.f64 1/36 (+.f64 1 (.f64 (pow.f64 x 4) 1/36))))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 x 4) 3) -1/46656)) (.f64 (fma.f64 x (.f64 x 1/6) 1) (+.f64 (fma.f64 (pow.f64 x 4) 1/36 1) (.f64 (pow.f64 x 8) 1/1296))))
(/.f64 (.f64 (-.f64 1 (.f64 1/46656 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4))))) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))) (+.f64 1 (.f64 1/216 (pow.f64 (.f64 x x) 3))))
(/.f64 (+.f64 1 (.f64 -1/46656 (pow.f64 (pow.f64 x 4) 3))) (.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6))) (+.f64 1 (.f64 (pow.f64 (*.f64 x x) 3) 1/216))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 x 4) 3) -1/46656)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6) 1) (fma.f64 (pow.f64 x 6) 1/216 1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 3)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))) (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) (-.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 3)) (+.f64 1 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6)))) (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) (fma.f64 (pow.f64 (*.f64 x x) 3) -1/216 -1))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -1/10077696 1) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6) 1) (fma.f64 (pow.f64 x 6) (.f64 -1/216 (fma.f64 (pow.f64 x 6) -1/216 -1)) 1)))
(/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) 1) (+.f64 1 (.f64 (*.f64 x x) 1/6)))
(-.f64 (/.f64 1 (+.f64 1 (.f64 x (.f64 x 1/6)))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (*.f64 x 1/6) 1))
(/.f64 (/.f64 (+.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 1 (+.f64 1 (.f64 x (.f64 x 1/6)))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (*.f64 x 1/6) 1))
(/.f64 (/.f64 (+.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 1 (+.f64 1 (.f64 x (.f64 x 1/6)))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (*.f64 x 1/6) 1))
(/.f64 (/.f64 (+.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 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/216 1) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6) 1))
(/.f64 (/.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))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/216 1) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6) 1))
(/.f64 (/.f64 (+.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)))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/216 1) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6) 1))
(pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)
(fma.f64 -1/6 (*.f64 x x) 1)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) 3)
(fma.f64 -1/6 (*.f64 x x) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3) 1/3)
(fma.f64 -1/6 (*.f64 x x) 1)
(neg.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (+.f64 -1 (neg.f64 (.f64 (*.f64 x x) 1/6)))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/36 -1) (fma.f64 -1/6 (*.f64 x x) -1))
(neg.f64 (/.f64 (+.f64 1 (.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 -1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (-.f64 -1 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 1/36 1/6))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 -1) (fma.f64 (.f64 x x) (neg.f64 (fma.f64 (.f64 x x) 1/36 1/6)) -1))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 2))
(fabs.f64 (fma.f64 -1/6 (*.f64 x x) 1))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x x) 1)))
(fma.f64 -1/6 (*.f64 x x) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 x x) 1))))
(fma.f64 -1/6 (*.f64 x x) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3))
(fma.f64 -1/6 (*.f64 x x) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1)))
(fma.f64 -1/6 (*.f64 x x) 1)
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 x x))))
(exp.f64 (log1p.f64 (.f64 x (.f64 x -1/6))))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 x x) 1)))
(fma.f64 -1/6 (*.f64 x x) 1)
(fma.f64 1 (.f64 -1/6 (.f64 x x)) 1)
(fma.f64 -1/6 (*.f64 x x) 1)
(fma.f64 -1/6 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/6 1)
(fma.f64 -1/6 (*.f64 x x) 1)
(fma.f64 (.f64 x (sqrt.f64 -1/6)) (.f64 x (sqrt.f64 -1/6)) 1)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2) 1)
(+.f64 1 (pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 -1/6 (*.f64 x x))) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (*.f64 x -1/6))) 1)
(fma.f64 (*.f64 -1/6 x) x 1)
(fma.f64 -1/6 (*.f64 x x) 1)

eval321.0ms (3.1%)

Compiler: Compiled 17194 to 8736 computations (49.2% saved)

prune229.0ms (2.2%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	974	8	982
Fresh	0	5	5
Picked	1	0	1
Done	1	5	6
Total	976	18	994

Error

Counts

994 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	27.8b	(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1)
✓	15.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	16.7b	(/.f64 (*.f64 (sin.f64 x) y) x)
✓	27.1b	(/.f64 (sinh.f64 y) 1)
✓	2.6b	(/.f64 (sin.f64 x) (/.f64 x y))
	2.5b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
▶	1.6b	(/.f64 y (/.f64 x (sin.f64 x)))
▶	17.8b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))
▶	28.9b	(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
	28.9b	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	1.6b	(*.f64 (/.f64 (sin.f64 x) x) y)
	1.6b	(*.f64 (/.f64 y x) (sin.f64 x))
▶	1.3b	(*.f64 (/.f64 1 (/.f64 x (sinh.f64 y))) (sin.f64 x))
	15.3b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
▶	28.9b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
	1.7b	(.f64 (.f64 (/.f64 -1 x) (neg.f64 y)) (sin.f64 x))
	28.0b	y

Compiler

Compiled 293 to 201 computations (31.4% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (sinh.f64 y))
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (/.f64 1 (/.f64 x (sinh.f64 y))) (sin.f64 x))
✓	1.2b	(/.f64 1 (/.f64 x (sinh.f64 y)))

Compiler

Compiled 28 to 11 computations (60.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`associate-*r/`
1564×	`associate-/r*`
1112×	`associate-*l/`
1086×	`*-commutative`
1014×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	227	32
2	2932	32

Stop Event

1×	node limit

Counts

2 → 205

Calls

Call 1

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

Outputs

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

simplify128.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1218×	`associate-/l*`
934×	`associate-/l/`
726×	`distribute-rgt-in`
722×	`distribute-lft-in`
552×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	551	8451
1	1448	8229
2	6011	8153

Stop Event

1×	node limit

Counts

253 → 306

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (.f64 -1/6 (.f64 x x)))
	0.2b	(.f64 -1/6 (.f64 x x))
✓	7.1b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)

Compiler

Compiled 30 to 16 computations (46.7% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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	y	@	-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	x	@	inf	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)

rewrite58.0ms (0.6%)

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)))))))

simplify67.0ms (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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -1/6 y)
✓	7.1b	(.f64 (.f64 -1/6 y) (*.f64 x x))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 (.f64 -1/6 y) (*.f64 x x))
0.0ms	y	@	inf	(.f64 (.f64 -1/6 y) (*.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 -1/6 y) (*.f64 x x))
0.0ms	x	@	0	(.f64 (.f64 -1/6 y) (*.f64 x x))
0.0ms	y	@	-inf	(*.f64 -1/6 y)

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`add-sqr-sqrt`
1492×	`*-un-lft-identity`
1390×	`add-cube-cbrt`
1370×	`add-cbrt-cube`
1356×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	163	26
2	1959	26

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1308×	`distribute-lft-in`
1296×	`distribute-rgt-in`
1248×	`associate-+l+`
1218×	`associate-+r+`
734×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	922
1	168	850
2	684	776
3	2419	772

Stop Event

1×	node limit

Counts

48 → 32

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (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 y (/.f64 x (sin.f64 x)))

Outputs

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1400×	`associate-*r/`
950×	`associate-*l/`
804×	`associate-/l*`
788×	`associate-+l-`
714×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	1368
1	343	1332
2	1323	1332
3	6393	1332

Stop Event

1×	node limit

Counts

66 → 62

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 x) y)
✓	1.2b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))
✓	15.3b	(/.f64 x (*.f64 (sin.f64 x) y))

Compiler

Compiled 25 to 8 computations (68% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 x (*.f64 (sin.f64 x) y))
0.0ms	x	@	-inf	(/.f64 x (*.f64 (sin.f64 x) y))
0.0ms	x	@	0	(/.f64 x (*.f64 (sin.f64 x) y))
0.0ms	y	@	0	(/.f64 x (*.f64 (sin.f64 x) y))
0.0ms	y	@	-inf	(/.f64 x (*.f64 (sin.f64 x) y))

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`associate-*r/`
1276×	`associate-/l*`
1032×	`associate-*l/`
986×	`*-commutative`
628×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	204	45
2	2655	45

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1310×	`distribute-rgt-in`
1290×	`distribute-lft-in`
570×	`associate-r`
488×	`associate-*r/`
482×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	436	5312
1	1122	5192
2	4668	5192

Stop Event

1×	node limit

Counts

260 → 279

Calls

Call 1

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

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/6 (/.f64 (.f64 x x) y)))
(fma.f64 1/6 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 7/360 (/.f64 (pow.f64 x 4) y)) (.f64 1/6 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (.f64 1/6 (/.f64 (.f64 x x) y))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 (/.f64 x (/.f64 y x)) (*.f64 7/360 (/.f64 (pow.f64 x 4) y))))
(+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 1/6 (/.f64 y (*.f64 x x)))))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 x 6) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (.f64 1/6 (/.f64 (.f64 x x) y)))))
(+.f64 (fma.f64 1/6 (/.f64 x (/.f64 y x)) (*.f64 7/360 (/.f64 (pow.f64 x 4) y))) (fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (/.f64 1 y)))
(+.f64 (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 1/6 (/.f64 y (*.f64 x x)))) (fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (/.f64 1 y)))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 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)
(+.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))
(+.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)))
(/.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 y x)
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (*.f64 y x))
(fma.f64 -1/6 (.f64 y (pow.f64 x 3)) (.f64 y x))
(fma.f64 y x (.f64 -1/6 (.f64 y (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 y x) (.f64 1/120 (*.f64 y (pow.f64 x 5)))))
(fma.f64 -1/6 (.f64 y (pow.f64 x 3)) (fma.f64 y x (.f64 (*.f64 1/120 y) (pow.f64 x 5))))
(fma.f64 -1/6 (.f64 y (pow.f64 x 3)) (fma.f64 y x (.f64 y (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 -1/6 (.f64 y (pow.f64 x 3)) (fma.f64 y x (.f64 (pow.f64 x 5) (*.f64 y 1/120))))
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 7))) (+.f64 (.f64 y x) (.f64 1/120 (*.f64 y (pow.f64 x 5))))))
(fma.f64 -1/6 (.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 y (pow.f64 x 7)) (fma.f64 y x (.f64 (.f64 1/120 y) (pow.f64 x 5)))))
(fma.f64 -1/6 (.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 y (pow.f64 x 7)) (fma.f64 y x (.f64 y (.f64 (pow.f64 x 5) 1/120)))))
(fma.f64 -1/6 (.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 y (pow.f64 x 7)) (fma.f64 y x (.f64 (pow.f64 x 5) (.f64 y 1/120)))))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) 1)
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 x (/.f64 1 (.f64 (sin.f64 x) y)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 x (neg.f64 (/.f64 -1 (.f64 (sin.f64 x) y))))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (/.f64 x (.f64 (sin.f64 x) y)) 1)
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 1 (/.f64 x (.f64 (sin.f64 x) y)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (sqrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (sqrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))))))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 (sin.f64 x) y)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 x (sin.f64 x)) y)) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (.f64 y (sin.f64 x))) 2))
(.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 y (sin.f64 x))) 2)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) 2) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))))))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (.f64 (sin.f64 x) y)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 y))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 x) y)) x)
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 -1 (/.f64 x (.f64 (sin.f64 x) (neg.f64 y))))
(/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 (sin.f64 x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 (sin.f64 x) y)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (sqrt.f64 (/.f64 x (.f64 (sin.f64 x) (neg.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))))
(/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 (sin.f64 x))))
(.f64 (.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) (neg.f64 y)))) (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) (neg.f64 y))))) (neg.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))))
(/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (neg.f64 y)))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 x) (.f64 (sin.f64 x) y)) (sqrt.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (.f64 (sin.f64 x) y)) (/.f64 (sqrt.f64 x) 1))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (/.f64 (cbrt.f64 x) (.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (/.f64 (cbrt.f64 x) (.f64 (sin.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(*.f64 (/.f64 x y) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (/.f64 x 1) (/.f64 1 (.f64 (sin.f64 x) y)))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(.f64 (/.f64 x (sqrt.f64 (.f64 (sin.f64 x) y))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y))))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 x y))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 (/.f64 x y) (sin.f64 x))
(*.f64 (/.f64 1 y) (/.f64 x (sin.f64 x)))
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(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 x) y)) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 x) y)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(.f64 (cbrt.f64 (.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 x) y)) -1) (/.f64 1 x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (pow.f64 (sqrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) -1) (pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) -1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) -1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2) -1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 y (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 y x) (.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 y (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (/.f64 y x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) y)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 1 (/.f64 x (.f64 (sin.f64 x) (sqrt.f64 y)))) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sqrt.f64 y))))
(.f64 (sqrt.f64 y) (.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (.f64 1 (cbrt.f64 y)) (/.f64 x (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2))))
(.f64 (cbrt.f64 y) (.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))) (neg.f64 y))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 y x))) 1) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))
(.f64 (/.f64 (sqrt.f64 (.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 y (neg.f64 (sin.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 y (neg.f64 (sin.f64 x)))))
(.f64 (/.f64 (/.f64 1 x) 1) (.f64 (sin.f64 x) y))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (/.f64 1 x) -1) (.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sin.f64 x))) y)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 y)) (sin.f64 x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (.f64 (sin.f64 x) y)))) (sqrt.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) y)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x))) y)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 -1 x) (.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) 2)) 1) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sin.f64 x)) y)) 2)) (cbrt.f64 (.f64 y (/.f64 (sin.f64 x) x))))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2))
(/.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) y)))
(.f64 (cbrt.f64 (.f64 y (sin.f64 x))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sin.f64 x)) y)) 2)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (.f64 y (sin.f64 x))) (.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2) (cbrt.f64 x)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sin.f64 x)) y)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (sin.f64 x) y))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sin.f64 x)) y)) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (.f64 (sin.f64 x) (neg.f64 y))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (.f64 y (neg.f64 (sin.f64 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))
(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))
(neg.f64 (*.f64 (neg.f64 (/.f64 y x)) (sin.f64 x)))
(*.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))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 y x)))
(fabs.f64 (*.f64 y (/.f64 (sin.f64 x) x)))
(log.f64 (exp.f64 (*.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))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) (pow.f64 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) y)) (log.f64 x)))
(*.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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1)
(*.f64 y (sin.f64 x))
(/.f64 (sin.f64 x) (/.f64 1 y))
(*.f64 y (sin.f64 x))
(/.f64 y (/.f64 1 (sin.f64 x)))
(*.f64 y (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) y) 1)
(*.f64 y (sin.f64 x))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 y (sqrt.f64 (sin.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (.f64 y (sqrt.f64 (sin.f64 x))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 y (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 y) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 y))))
(.f64 (/.f64 (sqrt.f64 y) 1) (.f64 (sin.f64 x) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (sin.f64 x) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (.f64 (sin.f64 x) y)) (/.f64 1 (sqrt.f64 (.f64 (sin.f64 x) y))))
(*.f64 y (sin.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 y (cbrt.f64 (sin.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (.f64 y (cbrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (.f64 (sin.f64 x) (cbrt.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (sin.f64 x) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (.f64 (sin.f64 x) y)) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) y)) 2)))
(*.f64 y (sin.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) y)) 2) (/.f64 1 (cbrt.f64 (.f64 (sin.f64 x) y))))
(*.f64 y (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 y) 1) (.f64 (sin.f64 x) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (sin.f64 x) (sqrt.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (.f64 (sin.f64 x) (cbrt.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (sin.f64 x) (cbrt.f64 y)))
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (.f64 y (cbrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 y (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (.f64 y (sqrt.f64 (sin.f64 x))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 y (sqrt.f64 (sin.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) y) 1)
(*.f64 y (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2)
(*.f64 y (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3)
(*.f64 y (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3)
(*.f64 y (sin.f64 x))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 y (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2))
(sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2))
(fabs.f64 (*.f64 y (sin.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))
(*.f64 y (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y))))
(*.f64 y (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3))
(*.f64 y (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)))
(*.f64 y (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y)))
(*.f64 y (sin.f64 x))

eval392.0ms (3.8%)

Compiler: Compiled 17385 to 8012 computations (53.9% saved)

prune413.0ms (4.1%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	1061	9	1070
Fresh	2	6	8
Picked	1	0	1
Done	2	7	9
Total	1066	22	1088

Error

Counts

1088 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	27.8b	(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1)
✓	15.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	16.7b	(/.f64 (*.f64 (sin.f64 x) y) x)
✓	27.1b	(/.f64 (sinh.f64 y) 1)
✓	2.6b	(/.f64 (sin.f64 x) (/.f64 x y))
	2.5b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
✓	1.6b	(/.f64 y (/.f64 x (sin.f64 x)))
▶	43.2b	(/.f64 1 (/.f64 x (*.f64 y x)))
▶	28.0b	(/.f64 1 (/.f64 1 y))
	14.1b	(/.f64 1 (+.f64 (/.f64 1 y) (.f64 1/6 (/.f64 (.f64 x x) y))))
✓	28.9b	(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
	28.9b	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	1.6b	(*.f64 (/.f64 (sin.f64 x) x) y)
▶	1.6b	(*.f64 (/.f64 y x) (sin.f64 x))
	2.6b	(.f64 (/.f64 1 (+.f64 (.f64 -1/6 (*.f64 y x)) (/.f64 x y))) (sin.f64 x))
▶	16.8b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
▶	28.9b	(.f64 (-.f64 (+.f64 2 (.f64 -1/6 (*.f64 x x))) 1) y)
	28.9b	(.f64 (+.f64 1 (.f64 x (*.f64 x -1/6))) y)
	61.6b	(.f64 y (.f64 -1/6 (*.f64 x x)))
	61.4b	(.f64 x (.f64 -1/6 (*.f64 y x)))
	28.0b	y

Compiler

Compiled 364 to 253 computations (30.5% 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	y	@	0	(*.f64 (/.f64 y x) (sin.f64 x))
0.0ms	x	@	0	(*.f64 (/.f64 y x) (sin.f64 x))
0.0ms	y	@	-inf	(*.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))

rewrite54.0ms (0.5%)

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))))))))

simplify52.0ms (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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-r`
908×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
842×	`pow1`
832×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	125	1
2	1227	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 x (*.f64 y x)))
✓	15.3b	(/.f64 x (*.f64 y x))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`add-sqr-sqrt`
1756×	`*-un-lft-identity`
1640×	`add-cube-cbrt`
1616×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	167	26
2	2230	26

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1780×	`unswap-sqr`
884×	`distribute-rgt-in`
884×	`distribute-lft-in`
596×	`distribute-lft-neg-in`
568×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	203	641
1	558	623
2	3130	623

Stop Event

1×	node limit

Counts

135 → 96

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (.f64 -1/6 (.f64 x x)))
✓	0.0b	(-.f64 (+.f64 2 (.f64 -1/6 (.f64 x x))) 1)
	0.2b	(.f64 -1/6 (.f64 x x))
✓	7.1b	(.f64 (-.f64 (+.f64 2 (.f64 -1/6 (*.f64 x x))) 1) y)

Compiler

Compiled 42 to 25 computations (40.5% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite122.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`*-commutative`
1058×	`associate-*r/`
842×	`associate-*l/`
728×	`distribute-lft-in`
682×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	259	59
2	3282	59

Stop Event

1×	node limit

Counts

3 → 213

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 y) (*.f64 y (fma.f64 -1/6 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 2) y) (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1) (*.f64 (fma.f64 -1/6 (*.f64 x x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (fma.f64 -1/6 (*.f64 x x) -1)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 2 y)) (*.f64 1 (*.f64 y (fma.f64 -1/6 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (fma.f64 -1/6 (*.f64 x x) 2) y)) (*.f64 1 (*.f64 y -1)))))) (#(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 2 y) 1) (*.f64 (*.f64 y (fma.f64 -1/6 (*.f64 x x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 2) y) 1) (*.f64 (*.f64 y -1) 1))))) (#(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 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 1 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2) -1) (/.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 3)) (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2) (+.f64 (*.f64 -1/6 (*.f64 x x)) 3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2) -1)) (+.f64 (*.f64 -1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 -1 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 3))) (+.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2) (+.f64 (*.f64 -1/6 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 -1 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 3))) (+.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (*.f64 x x) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 y (+.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2) -1))) (+.f64 (*.f64 -1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 y (+.f64 -1 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 3)))) (+.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2) (+.f64 (*.f64 -1/6 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 4 (*.f64 (fma.f64 -1/6 (*.f64 x x) -1) (fma.f64 -1/6 (*.f64 x x) -1)))) (-.f64 2 (fma.f64 -1/6 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 8 (pow.f64 (fma.f64 -1/6 (*.f64 x x) -1) 3))) (+.f64 4 (-.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) -1) (fma.f64 -1/6 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(pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2) -1))) (cbrt.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2) (+.f64 (*.f64 -1/6 (*.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 (fma.f64 -1/6 (*.f64 x x) -1) (fma.f64 -1/6 (*.f64 x x) -1))) y) (-.f64 2 (fma.f64 -1/6 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 (fma.f64 -1/6 (*.f64 x x) -1) 3)) y) (+.f64 4 (-.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) -1) (fma.f64 -1/6 (*.f64 x x) -1)) (+.f64 (*.f64 (*.f64 x x) -1/3) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2) -1)) y) (neg.f64 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simplify253.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-+r+`
1034×	`associate-+l+`
840×	`+-commutative`
672×	`associate-/l*`
576×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	536	12719
1	1516	11787
2	6303	11777

Stop Event

1×	node limit

Counts

261 → 335

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)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 2 y) (.f64 y (fma.f64 -1/6 (*.f64 x x) -1)))
(+.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 2) y) (*.f64 y -1))
(+.f64 (.f64 y -1) (.f64 (fma.f64 -1/6 (*.f64 x x) 2) y))
(+.f64 (.f64 y (fma.f64 -1/6 (.f64 x x) -1)) (*.f64 2 y))
(+.f64 (.f64 1 (.f64 2 y)) (.f64 1 (.f64 y (fma.f64 -1/6 (*.f64 x x) -1))))
(+.f64 (.f64 1 (.f64 (fma.f64 -1/6 (.f64 x x) 2) y)) (.f64 1 (*.f64 y -1)))
(+.f64 (.f64 y (.f64 -1/6 (*.f64 x x))) y)
(+.f64 (.f64 (.f64 2 y) 1) (.f64 (.f64 y (fma.f64 -1/6 (*.f64 x x) -1)) 1))
(+.f64 (.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 2) y) 1) (.f64 (*.f64 y -1) 1))
(+.f64 (.f64 (.f64 -1/6 (*.f64 x x)) y) y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 y (.f64 -1/6 (*.f64 x x))) y))) 1)
(/.f64 y (/.f64 1 (+.f64 (.f64 -1/6 (.f64 x x)) 1)))
(/.f64 (+.f64 (.f64 y (.f64 -1/6 (*.f64 x x))) y) 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) -1) (/.f64 (+.f64 (.f64 -1/6 (*.f64 x x)) 3) y))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3)) (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (.f64 x x)) 3)) y))
(/.f64 (.f64 y (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) -1)) (+.f64 (.f64 -1/6 (.f64 x x)) 3))
(/.f64 (.f64 y (+.f64 -1 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3))) (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (*.f64 x x)) 3)))
(/.f64 (.f64 y (+.f64 -1 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3))) (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (-.f64 1 (.f64 (fma.f64 -1/6 (*.f64 x x) 2) -1))))
(/.f64 (.f64 1 (.f64 y (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) -1))) (+.f64 (.f64 -1/6 (*.f64 x x)) 3))
(/.f64 (.f64 1 (.f64 y (+.f64 -1 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3)))) (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (.f64 x x)) 3)))
(/.f64 (.f64 y (-.f64 4 (.f64 (fma.f64 -1/6 (.f64 x x) -1) (fma.f64 -1/6 (.f64 x x) -1)))) (-.f64 2 (fma.f64 -1/6 (*.f64 x x) -1)))
(/.f64 (.f64 y (+.f64 8 (pow.f64 (fma.f64 -1/6 (.f64 x x) -1) 3))) (+.f64 4 (-.f64 (.f64 (fma.f64 -1/6 (.f64 x x) -1) (fma.f64 -1/6 (.f64 x x) -1)) (+.f64 (.f64 (*.f64 x x) -1/3) -2))))
(/.f64 (.f64 y (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) -1))) (neg.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 3)))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1)) 2)) (cbrt.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 3)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3))) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (*.f64 x x)) 3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2)) 1) (/.f64 1 (+.f64 (.f64 -1/6 (.f64 x x)) 3))) (+.f64 1 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) 3) 1) (/.f64 1 (+.f64 (.f64 -1/6 (.f64 x x)) 3))) (+.f64 (+.f64 (.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2)) 1) (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3) (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (.f64 x x)) 3)))) (+.f64 1 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (.f64 x x)) 3)))) (+.f64 (.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3) (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3)) (+.f64 1 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) -1) 1) (+.f64 (.f64 -1/6 (*.f64 x x)) 3))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) -1) (sqrt.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 3))) (sqrt.f64 (+.f64 (.f64 -1/6 (*.f64 x x)) 3)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) -1) (.f64 (cbrt.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 3)) (cbrt.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 3)))) (cbrt.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 3)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3)) 1) (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (.f64 x x)) 3)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (.f64 x x)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (*.f64 x x)) 3))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (.f64 x x)) 3))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (.f64 x x)) 3))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (*.f64 x x)) 3))))
(pow.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1) 2))
(log.f64 (exp.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1) 3))
(expm1.f64 (log.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1)))
(fma.f64 1 (fma.f64 -1/6 (*.f64 x x) 2) -1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) -1)
(-.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 1) -1)
(-.f64 (+.f64 (.f64 -1/6 (.f64 x x)) 3) 1)
(-.f64 (/.f64 4 (+.f64 2 (.f64 (.f64 x x) 1/6))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 2 (.f64 (.f64 x x) 1/6)) 1/36)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (.f64 x x)) 3))) (/.f64 1 (+.f64 (.f64 -1/6 (*.f64 x x)) 3)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 3) (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (.f64 x x)) 3)))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (.f64 x x) 2) 2) (+.f64 (.f64 -1/6 (*.f64 x x)) 3))))
(.f64 (fma.f64 -1/6 (.f64 x x) 2) 1)
(.f64 1 (fma.f64 -1/6 (.f64 x x) 2))
(.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) (sqrt.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) 1/6))))
(.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))))
(.f64 (/.f64 1 (+.f64 2 (.f64 (.f64 x x) 1/6))) (-.f64 4 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))) (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))
(.f64 (/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) (-.f64 4 (.f64 (pow.f64 x 4) 1/36))) (fma.f64 -1/6 (.f64 x x) 2))
(.f64 (/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) (-.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (+.f64 4 (+.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (*.f64 x x) -1/3))))
(.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (-.f64 16 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/3)) (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/3))))) (+.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) (.f64 (*.f64 x x) -1/3)))
(.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (+.f64 64 (pow.f64 (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/3)) 3))) (+.f64 16 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/3)) (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/3))) (.f64 4 (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (*.f64 x x) -1/3))))))
(/.f64 1 (/.f64 1 (fma.f64 -1/6 (*.f64 x x) 2)))
(/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) (+.f64 2 (.f64 (*.f64 x x) 1/6)))
(/.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3))))
(/.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3))) 1))
(/.f64 (sqrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3))) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 (*.f64 x x) 3) -1/216)))))
(/.f64 (sqrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36))) (/.f64 (+.f64 2 (.f64 (.f64 x x) 1/6)) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (cbrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3))) (cbrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36))) (cbrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)))) (/.f64 (+.f64 2 (.f64 (.f64 x x) 1/6)) (cbrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)))))
(/.f64 (-.f64 64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3))) (-.f64 8 (.f64 (pow.f64 (*.f64 x x) 3) -1/216))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/36) 4) (-.f64 (.f64 -1/6 (*.f64 x x)) 2))
(/.f64 (-.f64 16 (.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (pow.f64 x 4) 1/36))) (.f64 (+.f64 2 (.f64 (.f64 x x) 1/6)) (+.f64 4 (*.f64 (pow.f64 x 4) 1/36))))
(/.f64 (+.f64 512 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3))) (-.f64 (+.f64 64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))))
(/.f64 (-.f64 64 (pow.f64 (.f64 (pow.f64 x 4) 1/36) 3)) (.f64 (+.f64 2 (.f64 (.f64 x x) 1/6)) (+.f64 16 (+.f64 (.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (pow.f64 x 4) 1/36)) (.f64 4 (*.f64 (pow.f64 x 4) 1/36))))))
(/.f64 (neg.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36))) (neg.f64 (+.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (neg.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3)))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 4) 1/36) 4)) (-.f64 (.f64 -1/6 (.f64 x x)) 2))
(/.f64 (.f64 1 (neg.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)))) (neg.f64 (+.f64 2 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 1 (neg.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2) (cbrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2) (cbrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)))) (cbrt.f64 (+.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/36) 4) 1) (-.f64 (.f64 -1/6 (.f64 x x)) 2))
(/.f64 (.f64 (neg.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36))) 1) (neg.f64 (+.f64 2 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (neg.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36))) (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (.f64 (-.f64 16 (.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (pow.f64 x 4) 1/36))) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) 1/6)))) (+.f64 4 (*.f64 (pow.f64 x 4) 1/36)))
(/.f64 (.f64 (-.f64 64 (pow.f64 (.f64 (pow.f64 x 4) 1/36) 3)) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) 1/6)))) (+.f64 16 (+.f64 (.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (pow.f64 x 4) 1/36)) (.f64 4 (*.f64 (pow.f64 x 4) 1/36)))))
(/.f64 (.f64 (-.f64 64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3))))) (-.f64 8 (.f64 (pow.f64 (*.f64 x x) 3) -1/216)))
(/.f64 (.f64 (+.f64 512 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3))))) (-.f64 (+.f64 64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))))
(/.f64 (/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) 1) (+.f64 2 (.f64 (*.f64 x x) 1/6)))
(/.f64 (/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) (sqrt.f64 (+.f64 2 (.f64 (.f64 x x) 1/6)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) (.f64 (cbrt.f64 (+.f64 2 (.f64 (.f64 x x) 1/6))) (cbrt.f64 (+.f64 2 (.f64 (.f64 x x) 1/6))))) (cbrt.f64 (+.f64 2 (.f64 (.f64 x x) 1/6))))
(/.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) 1) (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3))))
(/.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))))
(/.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))))
(pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 x x) 2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 x x) 2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(fma.f64 -1/6 (*.f64 x x) 2)
(fma.f64 (*.f64 x x) -1/6 2)
(fma.f64 1 (.f64 -1/6 (.f64 x x)) 2)
(fma.f64 (.f64 x (sqrt.f64 -1/6)) (.f64 x (sqrt.f64 -1/6)) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 -1/6 (*.f64 x x))) 2)
(fma.f64 (*.f64 -1/6 x) x 2)

Outputs
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(fma.f64 y (.f64 (.f64 -1/6 x) x) y)
(fma.f64 -1/6 (.f64 x (.f64 x y)) y)
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(fma.f64 y (.f64 (.f64 -1/6 x) x) y)
(fma.f64 -1/6 (.f64 x (.f64 x y)) y)
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(fma.f64 y (.f64 (.f64 -1/6 x) x) y)
(fma.f64 -1/6 (.f64 x (.f64 x y)) y)
(.f64 -1/6 (.f64 y (pow.f64 x 2)))
(.f64 y (.f64 (*.f64 -1/6 x) x))
(.f64 -1/6 (.f64 x (*.f64 x y)))
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(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2) (/.f64 (cbrt.f64 (+.f64 2 (.f64 x (.f64 x 1/6)))) (cbrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 x (.f64 x 1/6) 2))) (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/36))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/36) 4) 1) (-.f64 (.f64 -1/6 (.f64 x x)) 2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/36 -4) (fma.f64 -1/6 (*.f64 x x) -2))
(/.f64 (.f64 (neg.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36))) 1) (neg.f64 (+.f64 2 (.f64 (.f64 x x) 1/6))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/36 -4) (fma.f64 -1/6 (*.f64 x x) -2))
(/.f64 (.f64 (neg.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))))
(/.f64 (.f64 1 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (fma.f64 (pow.f64 x 4) 1/36 (-.f64 4 (.f64 x (*.f64 x -1/3)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/216 8) (+.f64 (fma.f64 (pow.f64 x 4) 1/36 4) (.f64 (.f64 x x) 1/3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3)))))
(/.f64 (sqrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/36 (-.f64 4 (.f64 x (.f64 x -1/3))))) (sqrt.f64 (fma.f64 -1/6 (*.f64 x x) 2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) -1/216 8)) (sqrt.f64 (+.f64 (fma.f64 (pow.f64 x 4) 1/36 4) (.f64 (.f64 x x) 1/3)))) (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2)))
(/.f64 (.f64 (sqrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36))) (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) (/.f64 (sqrt.f64 (+.f64 2 (.f64 x (.f64 x 1/6)))) (sqrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) (sqrt.f64 (fma.f64 x (.f64 x 1/6) 2))) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/36))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3)))))
(/.f64 (cbrt.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/36 (-.f64 4 (.f64 x (.f64 x -1/3))))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 2)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2) (cbrt.f64 (+.f64 (fma.f64 (pow.f64 x 4) 1/36 4) (.f64 (.f64 x x) 1/3)))) (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/216 8)))
(/.f64 (.f64 (cbrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2) (/.f64 (cbrt.f64 (+.f64 2 (.f64 x (.f64 x 1/6)))) (cbrt.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 x (.f64 x 1/6) 2))) (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/36))))
(/.f64 (.f64 (-.f64 16 (.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (pow.f64 x 4) 1/36))) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) 1/6)))) (+.f64 4 (*.f64 (pow.f64 x 4) 1/36)))
(/.f64 (-.f64 16 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/1296)) (.f64 (+.f64 2 (.f64 x (.f64 x 1/6))) (+.f64 4 (.f64 (pow.f64 x 4) 1/36))))
(/.f64 (+.f64 16 (.f64 (pow.f64 x 8) -1/1296)) (.f64 (fma.f64 x (*.f64 x 1/6) 2) (fma.f64 (pow.f64 x 4) 1/36 4)))
(/.f64 (.f64 (-.f64 64 (pow.f64 (.f64 (pow.f64 x 4) 1/36) 3)) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) 1/6)))) (+.f64 16 (+.f64 (.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (pow.f64 x 4) 1/36)) (.f64 4 (*.f64 (pow.f64 x 4) 1/36)))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (.f64 (pow.f64 x 4) 1/36) 3)) (+.f64 2 (.f64 x (.f64 x 1/6)))) (+.f64 16 (.f64 (.f64 (pow.f64 x 4) 1/36) (+.f64 4 (.f64 (pow.f64 x 4) 1/36)))))
(/.f64 (/.f64 (+.f64 64 (.f64 (pow.f64 (pow.f64 x 4) 3) -1/46656)) (fma.f64 x (.f64 x 1/6) 2)) (+.f64 16 (fma.f64 (pow.f64 x 8) 1/1296 (*.f64 (pow.f64 x 4) 1/9))))
(/.f64 (.f64 (-.f64 64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3))))) (-.f64 8 (.f64 (pow.f64 (*.f64 x x) 3) -1/216)))
(/.f64 (/.f64 (-.f64 64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 1/46656)) (fma.f64 (pow.f64 x 4) 1/36 (-.f64 4 (.f64 x (.f64 x -1/3))))) (-.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))
(/.f64 (/.f64 (+.f64 64 (.f64 (pow.f64 (pow.f64 x 4) 3) -1/46656)) (+.f64 8 (.f64 (pow.f64 x 6) 1/216))) (+.f64 (fma.f64 (pow.f64 x 4) 1/36 4) (.f64 (.f64 x x) 1/3)))
(/.f64 (.f64 (+.f64 512 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3))))) (-.f64 (+.f64 64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216) (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))))
(/.f64 (/.f64 (+.f64 512 (.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) -1/10077696)) (fma.f64 (pow.f64 x 4) 1/36 (-.f64 4 (.f64 x (.f64 x -1/3))))) (+.f64 64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 1/46656) (.f64 8 (.f64 (pow.f64 (*.f64 x x) 3) -1/216)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -1/10077696 512) (+.f64 64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/46656 (.f64 1/27 (pow.f64 x 6))))) (+.f64 (fma.f64 (pow.f64 x 4) 1/36 4) (.f64 (*.f64 x x) 1/3)))
(/.f64 (/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) 1) (+.f64 2 (.f64 (*.f64 x x) 1/6)))
(-.f64 (/.f64 4 (+.f64 2 (.f64 x (.f64 x 1/6)))) (.f64 (/.f64 (pow.f64 x 4) (+.f64 2 (.f64 x (*.f64 x 1/6)))) 1/36))
(/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/36)) (fma.f64 x (.f64 x 1/6) 2))
(/.f64 (/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) (sqrt.f64 (+.f64 2 (.f64 (.f64 x x) 1/6)))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 x x) 1/6))))
(-.f64 (/.f64 4 (+.f64 2 (.f64 x (.f64 x 1/6)))) (.f64 (/.f64 (pow.f64 x 4) (+.f64 2 (.f64 x (*.f64 x 1/6)))) 1/36))
(/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/36)) (fma.f64 x (.f64 x 1/6) 2))
(/.f64 (/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/36)) (.f64 (cbrt.f64 (+.f64 2 (.f64 (.f64 x x) 1/6))) (cbrt.f64 (+.f64 2 (.f64 (.f64 x x) 1/6))))) (cbrt.f64 (+.f64 2 (.f64 (.f64 x x) 1/6))))
(-.f64 (/.f64 4 (+.f64 2 (.f64 x (.f64 x 1/6)))) (.f64 (/.f64 (pow.f64 x 4) (+.f64 2 (.f64 x (*.f64 x 1/6)))) 1/36))
(/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/36)) (fma.f64 x (.f64 x 1/6) 2))
(/.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) 1) (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (*.f64 x x) -1/3))))
(/.f64 (.f64 1 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (fma.f64 (pow.f64 x 4) 1/36 (-.f64 4 (.f64 x (*.f64 x -1/3)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/216 8) (+.f64 (fma.f64 (pow.f64 x 4) 1/36 4) (.f64 (.f64 x x) 1/3)))
(/.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))))
(/.f64 (.f64 1 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (fma.f64 (pow.f64 x 4) 1/36 (-.f64 4 (.f64 x (*.f64 x -1/3)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/216 8) (+.f64 (fma.f64 (pow.f64 x 4) 1/36 4) (.f64 (.f64 x x) 1/3)))
(/.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (-.f64 4 (.f64 (.f64 x x) -1/3)))))
(/.f64 (.f64 1 (+.f64 8 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (fma.f64 (pow.f64 x 4) 1/36 (-.f64 4 (.f64 x (*.f64 x -1/3)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/216 8) (+.f64 (fma.f64 (pow.f64 x 4) 1/36 4) (.f64 (.f64 x x) 1/3)))
(pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 1)
(fma.f64 -1/6 (*.f64 x x) 2)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 x x) 2)) 2)
(fma.f64 -1/6 (*.f64 x x) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 2)) 3)
(fma.f64 -1/6 (*.f64 x x) 2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 3) 1/3)
(fma.f64 -1/6 (*.f64 x x) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 2))
(fabs.f64 (fma.f64 -1/6 (*.f64 x x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(fma.f64 -1/6 (*.f64 x x) 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 x x) 2))))
(fma.f64 -1/6 (*.f64 x x) 2)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 2) 3))
(fma.f64 -1/6 (*.f64 x x) 2)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(fma.f64 -1/6 (*.f64 x x) 2)
(exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(fma.f64 -1/6 (*.f64 x x) 2)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 x x) 2)))
(fma.f64 -1/6 (*.f64 x x) 2)
(fma.f64 -1/6 (*.f64 x x) 2)
(fma.f64 (*.f64 x x) -1/6 2)
(fma.f64 -1/6 (*.f64 x x) 2)
(fma.f64 1 (.f64 -1/6 (.f64 x x)) 2)
(fma.f64 -1/6 (*.f64 x x) 2)
(fma.f64 (.f64 x (sqrt.f64 -1/6)) (.f64 x (sqrt.f64 -1/6)) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 -1/6 (*.f64 x x))) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 (*.f64 -1/6 x) x)) 2)
(fma.f64 (*.f64 -1/6 x) x 2)
(fma.f64 -1/6 (*.f64 x x) 2)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 x) y)
✓	15.3b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`add-sqr-sqrt`
1888×	`*-un-lft-identity`
1750×	`add-cube-cbrt`
1720×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	197	17
2	2391	17

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-r`
1268×	`associate-l`
664×	`associate-+l+`
660×	`associate-+r+`
488×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	901
1	202	889
2	747	889
3	5184	889

Stop Event

1×	node limit

Counts

49 → 44

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

eval258.0ms (2.5%)

Compiler: Compiled 13016 to 8330 computations (36% saved)

prune167.0ms (1.6%)

Pruning

28 alts after pruning (17 fresh and 11 done)

	Pruned	Kept	Total
New	629	10	639
Fresh	3	7	10
Picked	0	1	1
Done	1	10	11
Total	633	28	661

Error

Counts

661 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	27.8b	(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1)
✓	15.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	16.7b	(/.f64 (*.f64 (sin.f64 x) y) x)
✓	27.1b	(/.f64 (sinh.f64 y) 1)
✓	2.6b	(/.f64 (sin.f64 x) (/.f64 x y))
	2.5b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
✓	1.6b	(/.f64 y (/.f64 x (sin.f64 x)))
✓	43.2b	(/.f64 1 (/.f64 x (*.f64 y x)))
✓	28.0b	(/.f64 1 (/.f64 1 y))
	14.1b	(/.f64 1 (+.f64 (/.f64 1 y) (.f64 1/6 (/.f64 (.f64 x x) y))))
	44.6b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) x) x))
	14.7b	(/.f64 1 (*.f64 (/.f64 x y) (/.f64 1 x)))
	44.6b	(/.f64 1 (.f64 (neg.f64 x) (/.f64 1 (.f64 x (neg.f64 y)))))
	46.1b	(-.f64 (+.f64 1 y) 1)
	28.9b	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	1.6b	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	1.6b	(*.f64 (/.f64 y x) (sin.f64 x))
	14.6b	(*.f64 (/.f64 1 (/.f64 x y)) x)
	2.6b	(.f64 (/.f64 1 (+.f64 (.f64 -1/6 (*.f64 y x)) (/.f64 x y))) (sin.f64 x))
✓	16.8b	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
	43.2b	(.f64 (/.f64 1 x) (.f64 y x))
✓	28.9b	(.f64 (-.f64 (+.f64 2 (.f64 -1/6 (*.f64 x x))) 1) y)
	28.0b	(.f64 (.f64 (/.f64 1 x) x) y)
	61.6b	(.f64 (.f64 (*.f64 -1/6 x) x) y)
	61.4b	(.f64 -1/6 (.f64 x (*.f64 x y)))
	46.4b	(fabs.f64 y)
	28.0b	y

Compiler

Compiled 264 to 185 computations (29.9% saved)

regimes119.0ms (1.2%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

4 calls:

61.0ms	y
18.0ms	(sinh.f64 y)
18.0ms	x
13.0ms	(/.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 346 to 171 computations (50.6% saved)

regimes93.0ms (0.9%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	x
18.0ms	(sinh.f64 y)
15.0ms	y

Results

Error	Segments	Branch
1.6b	1	`x`
1.6b	1	`y`
1.6b	1	`(sinh.f64 y)`

Compiler

Compiled 274 to 146 computations (46.7% saved)

regimes42.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

Inputs
y
(-.f64 (+.f64 1 y) 1)
(/.f64 1 (/.f64 1 y))
(.f64 -1/6 (.f64 x (*.f64 x y)))
(.f64 x (.f64 -1/6 (*.f64 y x)))
(.f64 y (.f64 -1/6 (*.f64 x x)))
(.f64 (.f64 (*.f64 -1/6 x) x) y)
(.f64 (.f64 (/.f64 1 x) x) y)
(.f64 (/.f64 1 x) (.f64 y x))
(*.f64 (/.f64 1 (/.f64 x y)) x)
(/.f64 1 (/.f64 x (*.f64 y x)))
(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
(.f64 (+.f64 1 (.f64 x (*.f64 x -1/6))) 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 x y) (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) x) x))
(.f64 (-.f64 (+.f64 2 (.f64 -1/6 (*.f64 x x))) 1) y)
(/.f64 1 (.f64 (neg.f64 x) (/.f64 1 (.f64 x (neg.f64 y)))))
(/.f64 1 (+.f64 (/.f64 1 y) (.f64 1/6 (/.f64 (.f64 x x) y))))
(fabs.f64 y)
(/.f64 (sinh.f64 y) 1)
(*.f64 (/.f64 y x) (sin.f64 x))

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

Calls

3 calls:

13.0ms	y
11.0ms	x
10.0ms	(sinh.f64 y)

Results

Error	Segments	Branch
1.6b	1	`x`
1.6b	1	`y`
1.6b	1	`(sinh.f64 y)`

Compiler

Compiled 180 to 107 computations (40.6% saved)

regimes39.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
11.0ms	(sinh.f64 y)
10.0ms	y

Results

Error	Segments	Branch
14.1b	1	`x`
14.1b	1	`y`
14.1b	1	`(sinh.f64 y)`

Compiler

Compiled 174 to 104 computations (40.2% saved)

regimes22.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
8.0ms	y

Results

Error	Segments	Branch
14.6b	1	`x`
14.6b	1	`y`

Compiler

Compiled 151 to 89 computations (41.1% saved)

regimes74.0ms (0.7%)

Accuracy

Total -47.3b remaining (-329.6%)

Threshold costs -47.3b (-329.6%)

Counts

9 → 3

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 y) 1)
y
(-.f64 (+.f64 1 y) 1)

Calls

2 calls:

57.0ms	x
15.0ms	y

Results

Error	Segments	Branch
14.3b	3	`x`
26.5b	3	`y`

Compiler

Compiled 61 to 37 computations (39.3% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	41570270.524577774	206317768648.6084
18.0ms	-4.176712449034242e+20	-2898132045261431300.0

Results

34.0ms

240×

body

256

valid

Compiler

Compiled 194 to 160 computations (17.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
6×	`+-commutative`
2×	`sub-neg`
2×	`1-exp`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	151
1	51	151
2	52	151

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 1 (+.f64 (/.f64 1 y) (.f64 1/6 (/.f64 (.f64 x x) y))))
(*.f64 (/.f64 1 (/.f64 x y)) x)
(if (<=.f64 x -3100000000000000000) (-.f64 (+.f64 1 y) 1) (if (<=.f64 x 108000000) y (-.f64 (+.f64 1 y) 1)))
y

Outputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 1 (+.f64 (/.f64 1 y) (.f64 1/6 (/.f64 (.f64 x x) y))))
(*.f64 (/.f64 1 (/.f64 x y)) x)
(*.f64 x (/.f64 1 (/.f64 x y)))
(if (<=.f64 x -3100000000000000000) (-.f64 (+.f64 1 y) 1) (if (<=.f64 x 108000000) y (-.f64 (+.f64 1 y) 1)))
(if (or (<=.f64 x -3100000000000000000) (not (<=.f64 x 108000000))) (+.f64 (+.f64 y 1) -1) y)
y

Compiler

Compiled 69 to 48 computations (30.4% saved)

soundness134.0ms (1.3%)

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)

end64.0ms (0.6%)

Compiler: Compiled 57 to 33 computations (42.1% saved)