Details

analyze247.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
6.3%	6.2%	93.7%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	8
49.1%	43.7%	45.3%	0.1%	10.9%	0%	0%	9
49.6%	43.7%	44.5%	0.1%	11.7%	0%	0%	10
56.9%	46.8%	35.5%	0.1%	17.6%	0%	0%	11
57.3%	46.8%	34.9%	0.1%	18.1%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.6s (46.1%)

Results

891.0ms	5136×	body	256	valid
844.0ms	1982×	body	1024	infinite
842.0ms	2064×	body	1024	valid
378.0ms	1054×	body	512	valid
298.0ms	2130×	body	256	infinite
283.0ms	1016×	body	512	infinite
1.0ms	2×	body	2048	valid
0.0ms	1×	body	2048	infinite

Bogosity

preprocess64.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series47.0ms (0.6%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	y	@	inf	(/.f64 (sinh.f64 y) y)
2.0ms	y	@	-inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	y	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	x	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	y	@	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

rewrite105.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	186	37
2	2435	37

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

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

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

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

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-/l*`
1310×	`associate-r`
1176×	`associate-l`
652×	`associate-/r*`
614×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	7241
1	1482	7047

Stop Event

1×	node limit

Counts

271 → 329

Calls

Call 1

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

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

eval80.0ms (1%)

Compiler: Compiled 5079 to 1840 computations (63.8% saved)

prune67.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	325	4	329
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	326	4	330

Error

Counts

330 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
▶	0.1b	(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
▶	0.3b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
▶	0.8b	(sin.f64 x)

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize12.0ms (0.2%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
✓	0.1b	(.f64 y (.f64 y 1/6))
✓	0.3b	(*.f64 y 1/6)

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`unswap-sqr`
770×	`swap-sqr`
622×	`distribute-rgt-in`
612×	`associate-*r/`
582×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	245	45
2	3022	45

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

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

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simplify314.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1966×	`distribute-lft-in`
1926×	`distribute-rgt-in`
938×	`associate-/r*`
478×	`associate-/l/`
452×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	295	5561
1	765	4901
2	3057	4901

Stop Event

1×	node limit

Counts

151 → 163

Calls

Call 1

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

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

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite78.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`associate-*r/`
932×	`*-commutative`
844×	`associate-*l/`
838×	`associate-/r*`
698×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	186	32
2	2447	32

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 y 2) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (*.f64 y 2) (sin.f64 x)) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 y (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 y (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 y (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 y (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 y (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 y (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))))))) (#(struct:change 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y) (sqrt.f64 (sin.f64 x))) (/.f64 y (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sin.f64 x))) (/.f64 y (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))))))) (#(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 (*.f64 y 2) (sin.f64 x)) (+.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 (/.f64 (*.f64 y 2) (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) 2)) (*.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 y (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 -2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 y (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -1) (/.f64 (neg.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y)))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) 2))) (*.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) y) (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 (/.f64 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simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1128×	`associate-/l*`
1030×	`distribute-lft-in`
1026×	`distribute-rgt-in`
676×	`associate-/l/`
636×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	517	6583
1	1380	6435
2	6161	6435

Stop Event

1×	node limit

Counts

211 → 283

Calls

Call 1

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
✓	0.1b	(.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x))
✓	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 34 to 14 computations (58.8% saved)

series5.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x))
0.0ms	x	@	inf	(.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x))
0.0ms	x	@	0	(.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x))
0.0ms	y	@	0	(.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x))
0.0ms	y	@	inf	(.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x))

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`*-commutative`
914×	`unswap-sqr`
688×	`swap-sqr`
504×	`distribute-lft-in`
496×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	233	61
2	3039	61

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Outputs

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

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

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

simplify133.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1114×	`associate-/r/`
878×	`associate-r`
802×	`associate-l`
646×	`associate-+r+`
634×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	383	10304
1	1210	9224
2	6147	8780

Stop Event

1×	node limit

Counts

186 → 219

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -1/30240 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5))))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(+.f64 (.f64 (-.f64 (.f64 -1/36 (pow.f64 y 2)) 1/6) (pow.f64 x 3)) (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x))
(+.f64 (.f64 (-.f64 (.f64 -1/36 (pow.f64 y 2)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (.f64 (+.f64 1/120 (.f64 1/720 (pow.f64 y 2))) (pow.f64 x 5))))
(+.f64 (.f64 (-.f64 (.f64 -1/36 (pow.f64 y 2)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (+.f64 (.f64 (-.f64 (.f64 -1/30240 (pow.f64 y 2)) 1/5040) (pow.f64 x 7)) (.f64 (+.f64 1/120 (.f64 1/720 (pow.f64 y 2))) (pow.f64 x 5)))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 y (.f64 1/6 y)) 0)
(+.f64 1 (-.f64 (.f64 y (.f64 1/6 y)) 1))
(-.f64 (fma.f64 1/6 (*.f64 y y) 1) 1)
(pow.f64 (.f64 y (.f64 1/6 y)) 1)
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 1/6 y))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 1/6 y)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 1/6 y))))
(exp.f64 (log.f64 (.f64 y (.f64 1/6 y))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 1/6 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))) 1)
(pow.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) 1)
(pow.f64 (.f64 (sqrt.f64 (sin.f64 x)) (.f64 y (sqrt.f64 1/6))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (pow.f64 (sin.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (.f64 y (.f64 1/6 y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))
(exp.f64 (log.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))) (-.f64 1 (sin.f64 x)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y))))) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y)))) (*.f64 (pow.f64 y 4) 1/36))))
(-.f64 (+.f64 (sin.f64 x) (exp.f64 (log1p.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))) 1)
(-.f64 (+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 1)
(.f64 1 (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))) (sqrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))
(.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (sqrt.f64 (sin.f64 x)) (.f64 (.f64 y (.f64 1/6 y)) (sqrt.f64 (sin.f64 x)))))
(.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (.f64 (.f64 y (.f64 1/6 y)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))) 2) (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (fma.f64 1/6 (*.f64 y y) 1)))
(.f64 (cbrt.f64 (sin.f64 x)) (+.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (.f64 y (.f64 1/6 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(.f64 (cbrt.f64 (sin.f64 x)) (+.f64 (.f64 (.f64 y (.f64 1/6 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cbrt.f64 (sin.f64 x)) (.f64 (.f64 y (.f64 1/6 y)) (cbrt.f64 (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (.f64 (.f64 y (.f64 1/6 y)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (/.f64 1 (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y))))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 1/6 y)))))))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (fma.f64 1/6 (*.f64 y y) 1)) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 1 (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y))))) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (.f64 (pow.f64 y 4) 1/36))))
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(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(fma.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x) (sin.f64 x))
(fma.f64 (sin.f64 x) (.f64 y (.f64 1/6 y)) (sin.f64 x))
(fma.f64 1 (sin.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(fma.f64 1 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 x)) (.f64 y (sqrt.f64 1/6))) (.f64 (sqrt.f64 (sin.f64 x)) (.f64 y (sqrt.f64 1/6))) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x))) 2) (cbrt.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x))) (sin.f64 x))

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 (.f64 y y) (*.f64 1/6 x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (.f64 y y) x) (.f64 (.f64 (*.f64 y y) -1/36) (pow.f64 x 3)))
(fma.f64 -1/36 (.f64 y (.f64 y (pow.f64 x 3))) (.f64 (.f64 y y) (*.f64 1/6 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5)))))
(fma.f64 1/6 (.f64 (.f64 y y) x) (fma.f64 -1/36 (.f64 (.f64 y y) (pow.f64 x 3)) (.f64 1/720 (.f64 (*.f64 y y) (pow.f64 x 5)))))
(fma.f64 1/6 (.f64 y (.f64 y x)) (fma.f64 -1/36 (.f64 y (.f64 y (pow.f64 x 3))) (.f64 (.f64 y y) (*.f64 1/720 (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -1/30240 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5))))))
(fma.f64 1/6 (.f64 (.f64 y y) x) (fma.f64 -1/36 (.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 -1/30240 (.f64 (.f64 y y) (pow.f64 x 7)) (.f64 1/720 (.f64 (*.f64 y y) (pow.f64 x 5))))))
(fma.f64 1/6 (.f64 y (.f64 y x)) (fma.f64 -1/36 (.f64 y (.f64 y (pow.f64 x 3))) (fma.f64 -1/30240 (.f64 y (.f64 y (pow.f64 x 7))) (.f64 (.f64 y y) (*.f64 1/720 (pow.f64 x 5))))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 x (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 (-.f64 (.f64 -1/36 (pow.f64 y 2)) 1/6) (pow.f64 x 3)) (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x))
(fma.f64 (fma.f64 -1/36 (.f64 y y) -1/6) (pow.f64 x 3) (.f64 x (fma.f64 1/6 (*.f64 y y) 1)))
(fma.f64 (pow.f64 x 3) (fma.f64 (.f64 y y) -1/36 -1/6) (.f64 x (fma.f64 1/6 (*.f64 y y) 1)))
(+.f64 (.f64 (-.f64 (.f64 -1/36 (pow.f64 y 2)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (.f64 (+.f64 1/120 (.f64 1/720 (pow.f64 y 2))) (pow.f64 x 5))))
(fma.f64 (fma.f64 -1/36 (.f64 y y) -1/6) (pow.f64 x 3) (fma.f64 (fma.f64 1/6 (.f64 y y) 1) x (.f64 (pow.f64 x 5) (+.f64 1/120 (.f64 (*.f64 y y) 1/720)))))
(fma.f64 (pow.f64 x 3) (fma.f64 (.f64 y y) -1/36 -1/6) (fma.f64 (pow.f64 x 5) (fma.f64 (.f64 y y) 1/720 1/120) (.f64 x (fma.f64 1/6 (.f64 y y) 1))))
(+.f64 (.f64 (-.f64 (.f64 -1/36 (pow.f64 y 2)) 1/6) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (+.f64 (.f64 (-.f64 (.f64 -1/30240 (pow.f64 y 2)) 1/5040) (pow.f64 x 7)) (.f64 (+.f64 1/120 (.f64 1/720 (pow.f64 y 2))) (pow.f64 x 5)))))
(fma.f64 (fma.f64 -1/36 (.f64 y y) -1/6) (pow.f64 x 3) (fma.f64 (fma.f64 1/6 (.f64 y y) 1) x (fma.f64 (fma.f64 -1/30240 (.f64 y y) -1/5040) (pow.f64 x 7) (.f64 (pow.f64 x 5) (+.f64 1/120 (.f64 (.f64 y y) 1/720))))))
(fma.f64 (pow.f64 x 3) (fma.f64 (.f64 y y) -1/36 -1/6) (fma.f64 x (fma.f64 1/6 (.f64 y y) 1) (fma.f64 (pow.f64 x 5) (fma.f64 (.f64 y y) 1/720 1/120) (.f64 (pow.f64 x 7) (fma.f64 (*.f64 y y) -1/30240 -1/5040)))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 y (.f64 1/6 y)) 0)
(.f64 1/6 (.f64 y y))
(+.f64 1 (-.f64 (.f64 y (.f64 1/6 y)) 1))
(.f64 1/6 (.f64 y y))
(-.f64 (fma.f64 1/6 (*.f64 y y) 1) 1)
(.f64 1/6 (.f64 y y))
(pow.f64 (.f64 y (.f64 1/6 y)) 1)
(.f64 1/6 (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 1/6 y))) 3)
(.f64 1/6 (.f64 y y))
(pow.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3) 1/3)
(.f64 1/6 (.f64 y y))
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y)))
(.f64 1/6 (.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 1/6 y)))))
(.f64 1/6 (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 1/6 y)) 3))
(.f64 1/6 (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 y (.f64 1/6 y))))
(.f64 1/6 (.f64 y y))
(exp.f64 (log.f64 (.f64 y (.f64 1/6 y))))
(.f64 1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 1/6 y))))
(.f64 1/6 (.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))) 1)
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(pow.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) 1)
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 (sin.f64 x)) (.f64 y (sqrt.f64 1/6))) 2)
(pow.f64 (.f64 (.f64 y (sqrt.f64 1/6)) (sqrt.f64 (sin.f64 x))) 2)
(.f64 (sin.f64 x) (pow.f64 (.f64 y (sqrt.f64 1/6)) 2))
(pow.f64 (cbrt.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))) 3)
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(pow.f64 (pow.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) 3) 1/3)
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(sqrt.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (pow.f64 (sin.f64 x) 2))))
(sqrt.f64 (.f64 (.f64 (pow.f64 y 4) 1/36) (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 (pow.f64 (sin.f64 x) 2) 1/36)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (.f64 y (.f64 1/6 y))))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(cbrt.f64 (pow.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) 3))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(expm1.f64 (log1p.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(exp.f64 (log.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(log1p.f64 (expm1.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) (.f64 y (.f64 (*.f64 1/6 y) (sin.f64 x))))
(fma.f64 y (.f64 1/6 (.f64 y (sin.f64 x))) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)))) 1)
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))) (-.f64 1 (sin.f64 x)))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y))))) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y)))) (*.f64 (pow.f64 y 4) 1/36))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (-.f64 1 (.f64 y (.f64 1/6 y)))) (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (-.f64 1 (.f64 y (.f64 1/6 y)))) (.f64 (pow.f64 y 4) 1/36)))
(+.f64 (.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/6 (.f64 y y))))) (.f64 (.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/6 (.f64 y y))))) (.f64 -1/36 (pow.f64 y 4))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/6 (.f64 y y)))) (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))
(-.f64 (+.f64 (sin.f64 x) (exp.f64 (log1p.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x))))) 1)
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(-.f64 (+.f64 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) (.f64 y (.f64 (*.f64 1/6 y) (sin.f64 x))))
(fma.f64 y (.f64 1/6 (.f64 y (sin.f64 x))) (expm1.f64 (log1p.f64 (sin.f64 x))))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 1)
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1 (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
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(+.f64 (.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/6 (.f64 y y))))) (.f64 (.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/6 (.f64 y y))))) (.f64 -1/36 (pow.f64 y 4))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/6 (.f64 y y)))) (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (.f64 (cbrt.f64 (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y))))) (cbrt.f64 (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y))))))) (cbrt.f64 (.f64 (sin.f64 x) (-.f64 1 (.f64 y (.f64 1/6 y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (-.f64 1 (.f64 y (.f64 1/6 y)))) (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (-.f64 1 (.f64 y (.f64 1/6 y)))) (.f64 (pow.f64 y 4) 1/36)))
(+.f64 (.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/6 (.f64 y y))))) (.f64 (.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/6 (.f64 y y))))) (.f64 -1/36 (pow.f64 y 4))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/6 (.f64 y y)))) (-.f64 1 (.f64 (pow.f64 y 4) 1/36)))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (.f64 y (sqrt.f64 1/6))))) (.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (.f64 y (sqrt.f64 1/6)))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (.f64 (.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (.f64 y (sqrt.f64 1/6)))) (.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (*.f64 y (sqrt.f64 1/6))))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (.f64 y (sqrt.f64 1/6))))) (/.f64 (-.f64 1 (.f64 (pow.f64 y 4) 1/36)) (*.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 y (sqrt.f64 1/6) 1))))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (*.f64 1/6 y))))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 1/6 y)))))))
(/.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (.f64 (+.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y))) 1) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (fma.f64 y (.f64 1/6 y) -1)) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 3))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 1/6 y))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (*.f64 1/6 y)))))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 1/6 y)))))))
(/.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (.f64 (+.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y))) 1) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (fma.f64 y (.f64 1/6 y) -1)) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 3))
(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 1/6 y)))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 1/6 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 1/6 y)))))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 1/6 y)))))))
(/.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (.f64 (+.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y))) 1) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (fma.f64 y (.f64 1/6 y) -1)) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 3))
(pow.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)) 1)
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))) 2)
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))) 3)
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)) 3) 1/3)
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (.f64 (pow.f64 y 4) 1/36))) (.f64 (sin.f64 x) (neg.f64 (-.f64 1 (.f64 y (*.f64 1/6 y)))))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (.f64 1/6 y) -1)))
(.f64 (/.f64 (sin.f64 x) 1) (/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 y (.f64 1/6 y) -1)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) -1)) (fma.f64 (pow.f64 y 4) 1/36 -1))
(neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (*.f64 1/6 y))))))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 3) (neg.f64 (+.f64 1 (pow.f64 (.f64 y (.f64 1/6 y)) 3)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (*.f64 1/6 y)))))))
(.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (.f64 (+.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 1/6 (.f64 y y))) 1) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (.f64 1/6 (*.f64 y y)) 3)))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 y 4) 1/36) (fma.f64 y (.f64 1/6 y) -1)) (pow.f64 (sin.f64 x) 2)))) (-.f64 -1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)) 2))
(fabs.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/6 (*.f64 y y) 1)) (sin.f64 x)))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)) 3))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x) (sin.f64 x))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (sin.f64 x) (.f64 y (.f64 1/6 y)) (sin.f64 x))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1 (sin.f64 x) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1 (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 x)) (.f64 y (sqrt.f64 1/6))) (.f64 (sqrt.f64 (sin.f64 x)) (.f64 y (sqrt.f64 1/6))) (sin.f64 x))
(+.f64 (pow.f64 (.f64 (.f64 y (sqrt.f64 1/6)) (sqrt.f64 (sin.f64 x))) 2) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 (sin.f64 x) (pow.f64 (.f64 y (sqrt.f64 1/6)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (.f64 (.f64 y (*.f64 1/6 y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x))) 2) (cbrt.f64 (.f64 (.f64 y (.f64 1/6 y)) (sin.f64 x))) (sin.f64 x))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))

eval365.0ms (4.7%)

Compiler: Compiled 16017 to 8574 computations (46.5% saved)

prune239.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	747	2	749
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	748	5	753

Error

Counts

753 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.1b	(+.f64 (sin.f64 x) (.f64 (.f64 y y) (*.f64 1/6 x)))
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
▶	36.3b	(*.f64 (/.f64 x y) (sinh.f64 y))
✓	0.3b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
✓	0.8b	(sin.f64 x)

Compiler

Compiled 45 to 31 computations (31.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	16.3b	(*.f64 (/.f64 x y) (sinh.f64 y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`add-sqr-sqrt`
1818×	`*-un-lft-identity`
1692×	`add-cube-cbrt`
1664×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	167	17
2	2222	17

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1208×	`times-frac`
1156×	`associate-+r+`
1102×	`associate-/l*`
1086×	`associate-+l+`
812×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	2011
1	290	2011
2	1164	979
3	5755	979

Stop Event

1×	node limit

Counts

55 → 46

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sin.f64 x) (.f64 (.f64 y y) (*.f64 1/6 x)))
✓	0.4b	(*.f64 1/6 x)
✓	9.9b	(.f64 (.f64 y y) (*.f64 1/6 x))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite107.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`*-commutative`
898×	`unswap-sqr`
674×	`swap-sqr`
500×	`distribute-lft-in`
496×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	231	51
2	3006	51

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y (*.f64 1/6 x)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (*.f64 y (*.f64 y (*.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))))) (-.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 x) (*.f64 (*.f64 y y) (*.f64 x -1/6)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 1/36 (pow.f64 y 4))) (+.f64 (sin.f64 x) (*.f64 (*.f64 y y) (*.f64 x -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 x) (exp.f64 (log1p.f64 (*.f64 y (*.f64 y (*.f64 1/6 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (*.f64 y (*.f64 1/6 x)) (sin.f64 x)) 1)))) (#(struct:change 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(sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (*.f64 y y) (*.f64 x -1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sin.f64 x) (*.f64 (*.f64 y y) (*.f64 x -1/6)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (*.f64 1/36 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) (*.f64 1/36 (pow.f64 y 4))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (*.f64 y y) (*.f64 x -1/6)))))) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (*.f64 1/36 (pow.f64 y 4)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (*.f64 1/36 (pow.f64 y 4))))) (fma.f64 y (*.f64 y (*.f64 1/6 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (*.f64 1/36 (pow.f64 y 4)))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) (fma.f64 y (*.f64 y (*.f64 1/6 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) 3)) (-.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 3)) (*.f64 (*.f64 (*.f64 x x) (*.f64 1/36 (pow.f64 y 4))) (*.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) (sin.f64 x)) (-.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (*.f64 y y) (*.f64 x -1/6)) (-.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) 3)) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) (-.f64 (*.f64 y (*.f64 y (*.f64 1/6 x))) (sin.f64 x))) 3))) (+.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 3)) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 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simplify134.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

860×	`distribute-lft-neg-in`
796×	`distribute-rgt-neg-in`
588×	`associate-r`
580×	`associate-/l/`
564×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	8626
1	892	8168
2	4374	8164

Stop Event

1×	node limit

Counts

156 → 184

Calls

Call 1

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

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

eval226.0ms (2.9%)

Compiler: Compiled 7839 to 4201 computations (46.4% saved)

prune90.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	310	4	314
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	311	8	319

Error

Counts

319 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.9b	(fma.f64 1/6 (.f64 x (.f64 y y)) x)
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
✓	36.3b	(*.f64 (/.f64 x y) (sinh.f64 y))
▶	36.7b	(*.f64 (/.f64 x y) y)
✓	0.3b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
▶	35.9b	(.f64 x (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	0.8b	(sin.f64 x)
	36.2b	x

Compiler

Compiled 64 to 43 computations (32.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 16 computations (46.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite111.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`*-commutative`
742×	`unswap-sqr`
564×	`swap-sqr`
504×	`associate-*r/`
488×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	209	21
2	2633	21

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

Outputs

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

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1514×	`times-frac`
1114×	`associate-+r+`
1036×	`associate-/l*`
792×	`*-commutative`
758×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	3059
1	519	2845
2	1780	2805
3	7179	2805

Stop Event

1×	node limit

Counts

79 → 90

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.3b	(*.f64 (/.f64 x y) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`add-sqr-sqrt`
1382×	`*-un-lft-identity`
1286×	`add-cube-cbrt`
1264×	`add-cbrt-cube`
1252×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	126	13
2	1698	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1154×	`associate-r`
1070×	`times-frac`
960×	`associate-l`
816×	`associate-+l+`
764×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	46
1	140	46
2	576	46
3	6081	46

Stop Event

1×	node limit

Counts

46 → 23

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.0b	(.f64 x (.f64 y y))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`add-sqr-sqrt`
1110×	`*-un-lft-identity`
1042×	`pow1`
1026×	`add-cube-cbrt`
1010×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	120	13
2	1473	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 y y))

Outputs

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

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1474×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1184×	`log-prod`
740×	`associate-r`
696×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	455
1	94	455
2	354	455
3	1919	455

Stop Event

1×	node limit

Counts

35 → 14

Calls

Call 1

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

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

eval48.0ms (0.6%)

Compiler: Compiled 2345 to 1478 computations (37% saved)

prune49.0ms (0.6%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	0	1	1
Picked	1	0	1
Done	1	5	6
Total	139	12	151

Error

Counts

151 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	48.1b	(/.f64 (*.f64 x y) y)
	36.7b	(/.f64 y (/.f64 y x))
	48.1b	(/.f64 1 (/.f64 y (*.f64 x y)))
	61.2b	(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
	35.9b	(+.f64 (.f64 (.f64 y y) (*.f64 x 1/6)) x)
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
✓	36.3b	(*.f64 (/.f64 x y) (sinh.f64 y))
✓	36.7b	(*.f64 (/.f64 x y) y)
✓	0.3b	(.f64 (sin.f64 x) (+.f64 1 (.f64 y (*.f64 y 1/6))))
	61.0b	(.f64 1/6 (.f64 x (*.f64 y y)))
✓	0.8b	(sin.f64 x)
	36.2b	x

Compiler

Compiled 97 to 64 computations (34% saved)

regimes61.0ms (0.8%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	x
10.0ms	y
10.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
9.0ms	(sin.f64 x)
5.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 145 to 69 computations (52.4% saved)

regimes64.0ms (0.8%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	(sin.f64 x)
8.0ms	y
7.0ms	x

Results

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

Compiler

Compiled 105 to 51 computations (51.4% saved)

regimes26.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(sin.f64 x)

Calls

3 calls:

9.0ms	y
7.0ms	x
7.0ms	(sin.f64 x)

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`y`
0.8b	1	`(sin.f64 x)`

Compiler

Compiled 85 to 41 computations (51.8% saved)

regimes15.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
5.0ms	y

Results

Error	Segments	Branch
35.9b	1	`x`
35.9b	1	`y`

Compiler

Compiled 65 to 33 computations (49.2% saved)

regimes12.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Error	Segments	Branch
35.9b	1	`x`
35.9b	1	`y`

Compiler

Compiled 47 to 24 computations (48.9% saved)

regimes12.0ms (0.2%)

Accuracy

Total -25.6b remaining (-70.8%)

Threshold costs -25.6b (-70.8%)

Counts

6 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Error	Segments	Branch
36.2b	1	`x`
36.2b	1	`y`

Compiler

Compiled 38 to 19 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	106
1	35	106

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 50 to 35 computations (30% saved)

soundness477.0ms (6.2%)

Algorithm

5×	egg-herbie

Rules

1516×	`associate-/l*`
1516×	`associate-/l*`
1516×	`associate-/l*`
1310×	`associate-r`
1310×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	7241
1	1482	7047
0	580	7241
1	1482	7047
0	383	10304
1	1210	9224
2	6147	8780
0	312	8626
1	892	8168
2	4374	8164
0	580	7241
1	1482	7047

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 238 to 140 computations (41.2% saved)

end34.0ms (0.4%)

Compiler: Compiled 40 to 22 computations (45% saved)

Details

analyze247.0ms (3.2%)

sample3.6s (46.1%)

preprocess64.0ms (0.8%)

simplify51.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series47.0ms (0.6%)

rewrite105.0ms (1.4%)

simplify97.0ms (1.2%)

eval80.0ms (1%)

prune67.0ms (0.9%)

localize12.0ms (0.2%)

localize13.0ms (0.2%)

series4.0ms (0%)

rewrite75.0ms (1%)

simplify314.0ms (4.1%)

localize26.0ms (0.3%)

series2.0ms (0%)

rewrite78.0ms (1%)

simplify100.0ms (1.3%)

localize16.0ms (0.2%)

series5.0ms (0.1%)

rewrite92.0ms (1.2%)

simplify133.0ms (1.7%)

eval365.0ms (4.7%)

prune239.0ms (3.1%)

localize6.0ms (0.1%)

series5.0ms (0.1%)

rewrite55.0ms (0.7%)

simplify65.0ms (0.8%)

localize13.0ms (0.2%)

series3.0ms (0%)

rewrite107.0ms (1.4%)

simplify134.0ms (1.7%)

eval226.0ms (2.9%)

prune90.0ms (1.2%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite111.0ms (1.4%)

simplify90.0ms (1.2%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite52.0ms (0.7%)

simplify46.0ms (0.6%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite51.0ms (0.7%)

simplify42.0ms (0.5%)

eval48.0ms (0.6%)

prune49.0ms (0.6%)

regimes61.0ms (0.8%)

regimes64.0ms (0.8%)

regimes26.0ms (0.3%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes12.0ms (0.2%)

simplify6.0ms (0.1%)

soundness477.0ms (6.2%)

end34.0ms (0.4%)

Profiling